diff --git "a/data/dm_maths/full_data/1614_11255.jsonl" "b/data/dm_maths/full_data/1614_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1614_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Put -3, -20, 0 in increasing order.\nAnswer: -20, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 2*i**2 + 2*i - 3. Let w be l(1). Solve 6*q - 3*q - 6 = w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 555 - -489. Suppose -f + n - 224 = 0. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 50 - 18. Does 2 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 45*y + 44*y + 42 = -324, 0 = -3*y - 12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -377.8 - 52337.\nAnswer: -52714.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -539\/13? (a) -2\/7 (b) 347 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5458390 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 l when two letters picked without replacement from {d: 6, l: 1, q: 2, a: 9}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaooaa. Give prob of picking 4 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -27*y + 27*y + 17 + 23*y**2. Let g(v) = 8*v**2 + 6. Suppose 5*k - 3*r = 86, -2*k - r = -5 - 25. Let f = 10 - k. What is f*n(s) + 17*g(s)?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 4:26 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 43?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 62.26025l?\nAnswer: 62260.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - (-5 + sqrt(162)*-4)) + (sqrt(162) - (1 + sqrt(162)*1)))**2.\nAnswer: 360*sqrt(2) + 4066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 146176700 to the power of 1\/3, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 4:39 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3471768617.\nAnswer: 3471768617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rerjrrteewjjtfwrtw. What is prob of sequence fe?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 734305499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -24. What are the prime factors of -2 + 9\/3 + u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2430\/77 + -226\/7. Let v be ((-32)\/(-1584))\/((-1)\/(-11)). Are v and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -194*o**2 - 1 - 538*o**2 - 115 - 6 wrt o.\nAnswer: -1464*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 1. Let f = -85 + 87. Let c(p) be the first derivative of 2*p - 6*p + 14*p**f - 29 - 17*p**2. Calculate -c(g) + 5*k(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -15303329 and -0.13.\nAnswer: -15303329.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*q**2\/11 + 2421*q\/11 - 388\/11.\nAnswer: (q + 97)*(25*q - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c + 167552916 + 4*c**2 + 10*c - 167553124.\nAnswer: 4*c**2 - 208","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 840.1763 millilitres to litres.\nAnswer: 0.8401763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 272134987409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -32 - 19?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373984?\nAnswer: 2, 13, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-8)*(45584\/(-185))\/77?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.02 (b) 0.1 (c) 1.1 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**3 + 7*b**2 + 10*b + 15. Let u(g) = 16*g**3 + 35*g**2 + 51*g + 74. Let i(x) = -11*j(x) + 2*u(x). Does 21 divide i(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) -4 (c) -21\/5 (d) 58 (e) 30 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6331253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63*a - 18*a + 21*a + (-5 + 0 + 3)*(a - 3*a + 3*a))*(5*a**3 + 4*a**3 + 0*a**3).\nAnswer: -558*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -28?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 7155525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -238541 - -40074757\/168. Calculate the common denominator of -123\/40 and u.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 77931 - 6?\nAnswer: 77926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 493615161 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -437298, -1749205, -3935708, -6996801, -10932478?\n\"Answer: w**3 - 437304*w**2 - 2*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64 or 41151?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17.8 - 0.2. Let u = a - -14. Let i be (1\/6)\/(2\/4). Which is greater: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64 or 454\/7?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -368528960015165 + 2\nAnswer: -368528960015163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 - -58. Solve -11 + g = 4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 516.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.31 and -2389080.\nAnswer: 740614.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*w**3*y**2 + 454*w**2*y**2 + 104*y**2 + 183*y with respect to w.\nAnswer: 54*w**2*y**2 + 908*w*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 times -1.1661?\nAnswer: -55.9728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -640*u - 52394. Determine y(-81).\nAnswer: -554","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**6\/120 + 13*h**5\/60 - h**4\/24 + 19*h**3\/6 + 84*h**2. What is c(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (47\/3)\/(1\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (36\/(-15) - -2)\/(5\/(-25)). Let a(x) = -326 - w*x**2 + 326. Let d(o) = 6*o - 3. Let n(p) = p + 1. Let v(h) = d(h) + 3*n(h). Give a(v(m)).\nAnswer: -162*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 4 = -38*b + 37*b, -2*y + 3*b + 12 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-2 + 0 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(30\/108)*65\/(-39).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*v**5 - 61*v**3 - 2*v**2 - 2414*v wrt v.\nAnswer: 40*v**3 - 366*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 4*g - 2. Suppose 5*s - 28 = 2*d - 12, 0 = d - s + 2. Suppose 2 = d*w + 8. What is n(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 9218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jffj when four letters picked without replacement from ffffjjffffff.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 - 2*m + 1. Let r be a(1). Suppose 0 = 5*g - 14 - r. Suppose 4*y + 151 - 167 = 0. Solve g*i - 7*i = y, 3*l - 2*i = -10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4090, 11073, 20952, 33727, 49398, 67965?\nAnswer: 89428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1163 - 1414 + 9726 - 14463 - 34840 - 38976)*(2*d + 3*d - 4*d) to z*d + h and give z.\nAnswer: -78804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (29*(-102)\/(-13311))\/(3\/378)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 0)\/(0 - 1). Let a = 114 - 128. Let o be (-112)\/(-32)*(-40)\/a. Solve o*s - 5*s + 15 = r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 406 (base 11) to base 10\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from cocceicpteectcecettt?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14567 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 105 - 88. Factor t + 26*t**2 - l*t**2 + 0*t**3 + 5*t + 3*t**3.\nAnswer: 3*t*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15572364 rounded to 4 decimal places?\nAnswer: -0.1557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7*a**3 + 8*a**2 + 62. Let f(p) = p**3 - 2*p**2. What is -d(t) - 4*f(t)?\nAnswer: 3*t**3 - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 11:14 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3190*k + 8829 - 40729 = 0 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2400 and 330?\nAnswer: 26400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = -388505 + 52915. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.075 * -2\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6 = 2*y - 0, 4*s + 2*y = 22. Calculate the remainder when 53 is divided by (-2)\/(-4)*36 - s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10566, -21011, -31262, -41223, -50798, -59891?\n\"Answer: 16*p**3 + p**2 - 10560*p - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyhy when four letters picked without replacement from yyyyyyhyhyyhyy.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/39*((-636318)\/(-460))\/(-53) and 81\/362.\nAnswer: 4706","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/11 - (-996567)\/(-2351635)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 2*t**5\/45 - t**4\/6 - 40*t**3\/27 + 16*t**2\/3 + 128*t\/9 - 186. Let x(g) = 0. Calculate g.\nAnswer: -4, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2427 a factor of 839742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 38, 32, 26, 20, 14, 8?\n\"Answer: -6*d + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, w: 1, h: 6, p: 3, r: 7}. Give prob of sequence rw.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 179, 207, 281, 425, 663?\n\"Answer: 4*o**3 - o**2 + 3*o + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 63, 148, 279, 462?\nAnswer: 703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 22*c**3 + 6*c**2 - 6*c + 6. Let j(h) = -45*h**3 - 13*h**2 + 13*h - 13. Give 6*j(p) + 13*y(p).\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -861 at least 92.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 23 - 1 + 11 - 8. Let n be d(-22). Solve -n*u + 0 = -9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + w - 21. Let b(l) = -w*l - l**2 + 0 + l - 3. What is b(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3171 and 76557.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 14) to base 15\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 10:47 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28756725 is divided by 931.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eebgnb. Give prob of picking 1 n and 1 b.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 16*d + 34. Let l be c(2). Let a = l + -1145\/18. Calculate the common denominator of a and ((-44)\/(-6))\/((-1)\/2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + 0*y + 0*y + (-432 - 31*y + 432)*(3 + 2 - 6 + (-3 - 2 + 6)*(3 + 5 - 6) + 0 + 3 - 1 + 2 - 2 - 1).\nAnswer: -61*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**15*t*t**(2\/13)\/t)**(-2\/47) assuming t is positive.\nAnswer: t**(-394\/611)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06814426 to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 782595.\nAnswer: 3, 5, 11, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102 - 103. Let l = 3 - -1. Let f = 6 - l. Which is the nearest to 1\/4? (a) n (b) 2\/9 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8*t = -232. Calculate the highest common divisor of 145 and t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 - 14*v - 24.\nAnswer: -2*(v + 3)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(2\/9))\/(p\/p**4*p))\/(p\/(p\/(p\/(p\/(p**4\/p)*p*p)))*p\/p**6))\/(((p*p**(-11)\/p*p*p*p)\/p*p)\/(p*p**(-1\/13)*p))**(-30) assuming p is positive.\nAnswer: p**(-33985\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81848*-15.\nAnswer: -1227720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 4. Let i(m) = m + 3. Does 7 divide i(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59557?\nAnswer: 59557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 4*y = 32*v - 5*v - 24*v + 9, 2*v = 5*y - 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37198, 37187, 37160, 37111, 37034, 36923?\nAnswer: 36772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1914 and 66818697.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3717 + 3722 - (1 + 20)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 s when three letters picked without replacement from wsswswswwssswwssww.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 6:47 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15.8 + -3. Let d = a + -13. Let q = -0.3 + -4.7. What is the smallest value in -0.3, q, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -1 (c) 6 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1805401631 to the nearest integer?\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22 + -26 - (1 + -5019)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 620.\nAnswer: 4960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 217858566 and 498.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 533718823 to the nearest integer?\nAnswer: 23102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/8643 - -216083\/34572. Factor 0 - s*d**3 + 1\/4*d**4 + 25\/4*d - 1\/4*d**2.\nAnswer: d*(d - 25)*(d - 1)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 1:20 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/8 + (-380)\/(-40)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*(-14)\/686)\/((-1)\/4)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - f - 3 = -2*f, b + 2*f = 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*x**5 - 163*x**4 + 4*x**3 + 882*x**2 + 4*x?\nAnswer: -180*x**2 - 3912*x + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2505260761 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010 + 1000?\nAnswer: 100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000997751 rounded to 5 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 3. Let a = k + 7. Let c be (10\/(-25))\/(34\/a). Which is greater: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 + 11.0515074?\nAnswer: -63.9484926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 8103892 (c) 1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 197*i**2 - 7*i + 104. What is the tens digit of o(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 5 + 2)*(0 - 4 + 6)*(0 + 1 + 0)*(-35416*f + 35416*f - 16*f**2 - 1) to the form m + t*f**2 + l*f and give t.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (-781)\/(-9) - (-16)\/72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -8 - (5 + -2)) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 16 = 3*q, 2*t - 3*t + q - 10 = 0. Let l be (-23)\/t + (-4)\/14. Suppose 0 = -2*i + l*i - 149. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/56 and 11\/1064.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4333215058.\nAnswer: 2, 71, 30515599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 27*u - 264. Let t(a) = 6*a - 1. Let k(y) = j(y) + 3*t(y). Let v be k(6). Solve -5*g = -v*h + 8, -h = -3*h - 3*g - 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.13+-0.605\nAnswer: -0.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-22\/3)\/(p**(4\/3)*p)*(p*p**4)\/(p\/p**19*p) assuming p is positive.\nAnswer: p**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 + -58. Suppose 3*q - 14 = n*u + 269, -3*q + 3*u = -285. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 150 + -104. List the prime factors of y.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370 = 3*n + 4*p, -4*p = p + 10. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77653733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4*l**3 + 2*l - l**4 + l**2 + l**2 - 5 + 5*l**3 as z*l**3 + o*l**4 + x*l + h*l**2 + b and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 4. Let z be l(4). Suppose 0 = -2*t - z + 8. Suppose -4*q + 5 = -4*w - 3, -2*q = -t*w. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*w = 14, w + 8 + 31 = -5*x. Suppose 4*m + 9 = -31. Let s = x - m. Solve s*y - 2 = b, -2*y + 2 = -0*b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(95)*6 + sqrt(95) + 4*sqrt(95)*-2 + sqrt(95))\/((sqrt(80) - -1*sqrt(80))*5).\nAnswer: 3*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7253200698 to the nearest integer?\nAnswer: 85166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 422419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108324 and 28.\nAnswer: 758268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*v - 162*v + 11*v + 32*v + 18*v + 57*v.\nAnswer: -26*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u - 3*u - u - u**2 - 7. Let y = 18034 + -18039. Calculate b(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -1\/4, 2\/9, 32 in descending order.\nAnswer: 32, 2\/5, 2\/9, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3770 and -1?\nAnswer: -3770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*z - 1035 = 0, 35 = 4*a + 3*z - 1374. Suppose -3*f - 2*m = -190, 5*f - 4*m = m + a. Let r = -52 + f. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 798 is divided by 167?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*p**4 - 5*p**4 - 4*p**4)*(4 - 3 - 3).\nAnswer: -18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 6:46 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -1 + 5. Suppose -d - d - b*q = -42, -q + 30 = 2*d. Let k = d + -1. Solve -k = x - 5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 0*y - 3*y)*(-y**3 + 0 + 0) - 2*y**3 + y**3 + 6*y**4 + 18 - 7*y**4.\nAnswer: -2*y**4 - y**3 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 408774391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5184223 a multiple of 661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*(t\/(t\/((t*t**(-2))\/t)))\/t*t)\/t**4)\/(t**(1\/4))**48 assuming t is positive.\nAnswer: t**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -c1 (base 15) in base 11?\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 955517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + l**2 - 1. Suppose -33*r + 26*r = 39*r + 46. Let p(b) = 9*b**3 - 6*b**2 + 2*b - 2. Calculate r*p(s) - 6*w(s).\nAnswer: -3*s**3 - 2*s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(405) - (sqrt(405) - (sqrt(405) + 0 + sqrt(405)))) + sqrt(405) - sqrt(405)))**2.\nAnswer: 108*sqrt(5) + 1629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*w + 2. Suppose -13*n + 16 + 49 = 0. Let i = -6 - -1. Sort w, i, n in increasing order.\nAnswer: i, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7632\/7 in -0.01, 0, 0.5, 1\/14, 2\/7?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -31) + (-25 - 45) + 104.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, h: 5}. What is prob of sequence hhh?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 82 - 104 = 0. Let z(k) = 5*k + 26. Let s(o) = 14*o + 77. Let n(w) = 4*s(w) - 11*z(w). Calculate the remainder when 42 is divided by n(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867332941?\nAnswer: 2711, 319931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12.4 times -5\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 - (-5)\/((-30)\/(-18))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a. Let g(n) = -4. Suppose 4*f = 3*k + 2 + 29, -5*k = 2*f + 17. Let c(y) = y + 2. Let d(b) = f*g(b) + 8*c(b). Calculate j(d(z)).\nAnswer: -32*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -242, 0.4, 8, -5\/6, -1\/6, 0?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-12)*((-197472)\/68)\/(-22)\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2008 is divided by 282?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 + 7*j**2 + 7*j**2.\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1001 + -4324?\nAnswer: -10330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3949 = 94*b + 6299 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 11*u - 9. Let k be w(2). Let p(z) = 4*z**2 - 83*z + 81. Let g(s) = s**2 - 20*s + 20. Let h(a) = -9*g(a) + 2*p(a). What is h(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1510465)\/(-583352) - (-42)\/(-16).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 2*n**2 + 0*n)*(155*n + 116*n - 172*n) + n**3 - 3*n**2 + 3*n**2.\nAnswer: 199*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 0*t + 0*t)*(-732*t**2 - 15876*t + 15876*t) + t**3 + 2 - 2.\nAnswer: -1463*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10283037 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 106?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5603, 5608, 5615, 5624, 5635, 5648?\nAnswer: 5663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -15. Which is the closest to -0.1? (a) d (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*-10\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 6*j**2 + 63. Let i be f(0). Suppose -4*r - r - 65 = -y, 0 = -y + 3*r + i. What is the greatest common divisor of y and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o**2 - 155515163*o - 124*o**2 + 155515163*o.\nAnswer: -111*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uszszc. What is prob of picking 1 c and 1 z?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**3 + 11*f**2 + 3*f + 1. Let k be z(9). Let d = 1828 + k. Suppose d = -7*c + 9*c. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d + 36. Let n be i(9). Sort n, 1, -5, 8 in descending order.\nAnswer: 8, 1, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49020760.\nAnswer: 2, 5, 19, 53, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 490328 and 9488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 8*k - 3. Let g(h) = h - 1. Suppose -666 = -6*n - 702. Give n*g(s) + 2*d(s).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*x - 9 = 0, -3*u + 2*x = 5*x - 15. Let j = u - -4. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23369.\nAnswer: 23369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 3.1, -2\/13, 5, 1.7 in increasing order.\nAnswer: -2\/13, 0.3, 1.7, 3.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - 4*(-1 + 0). Suppose o*k = k + 4. Factor 2*y**3 + 5*y**k - y**4 - 2*y**4.\nAnswer: 2*y**3*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*n - 36*n + 14*n + 18*n - 98*n**2 - 142 wrt n?\nAnswer: -196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-282)\/27 + 10 - (-44)\/18\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**5 - d**4 - 155*d**3 + 26481*d**2 wrt d.\nAnswer: 60*d**2 - 24*d - 930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 8:52 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -6*b + 44 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 z, and 2 t when four letters picked without replacement from {s: 2, t: 3, z: 5, n: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/7)\/(l\/(l*l\/l**(-2\/5)))*l**(-3\/2)\/l**8)**(-35) assuming l is positive.\nAnswer: l**(587\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10234 is divided by 640?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 11, 3, -26, 2, 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + sqrt(180)*-1 + (sqrt(180) - (sqrt(180) + 3 + sqrt(180) + -1)) + sqrt(180))*6*6.\nAnswer: -432*sqrt(5) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -21*c + 7. Let z be o(13). Let a = z - -474. Does 12 divide 4\/12 - a\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 126\/(-36) + (-2)\/4. Let v = 0 + 3. Let p(b) = v + 0 - 5 - 13*b + 11*b. Let i(c) = -3*c - 2. Determine d*i(a) + 5*p(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - -122*(-8)\/112.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 2*i**5\/75 + i**4\/6 + 14*i**3\/45 + i**2\/5 - 94. What is y in g(y) = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2 = 0, 5*k = 2*k + 4*x + 1499. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggqqg. Give prob of picking 2 q and 2 g.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1479484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiu when three letters picked without replacement from tuutiutluututuiututu?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*o**5 + 446*o**4 + 2*o**2 + 38471*o?\nAnswer: 200*o**3 + 5352*o**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 25 + 0 = 0. Suppose -t - t - 10 = 0, o*y - 2*t - 180 = 0. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.32026 + -1.643.\nAnswer: -1.32274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -705*t - 90*t - 76*t - 4. Let y be u(-4). What is the units digit of (-4)\/18 + y\/108?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1.18 (b) 22 (c) -5\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + (-3 - -4) + 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4578 by 1526.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1842, -14672, -49508, -117354, -229214, -396092?\nAnswer: -628992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w + 27. Determine f(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35310473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4\/3 + 570*x**3 - 289744*x**2\/3 - 194874*x - 293167\/3 = 0.\nAnswer: -1, 193, 1519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -98*y**3 - 7*y**2 + 17*y + 83. Let j be r(-7). Suppose -b - j = -3*l + 21370, 0 = -2*l + b + 36404. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9200*r + 5*b = 9196*r - 61, -14 = -r + 2*b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/5 - 30553954*u**2\/5 - 116692906190352*u\/5 + 816851840476896\/5.\nAnswer: -2*(u - 7)*(u + 7638492)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * 1891096.\nAnswer: 113465.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10527, -10646, -10955, -11544, -12503, -13922, -15891?\n\"Answer: -15*g**3 - 5*g**2 + g - 10508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 t when three letters picked without replacement from {b: 2, j: 5, u: 1, t: 5, c: 1, f: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -6\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -21\/5, 8524, -4, -2\/9, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -69 + -7248\nAnswer: -7317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 965136823*l**4 + 1018560368*l**2.\nAnswer: 23163283752*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 652 + -633. Solve -24*y = -a*y - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 0 + 0 + 7 + a. Let w = -11 + 6. Give u(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/36 and 39\/40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(-4)\/16 - 0. Let n = w - 1. Solve 0 = -v - n - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94538953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-34)*68\/(-2890)*51.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1001 - -2435. Suppose -b = -104*v + 98*v. Is v a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 16 = -11*o. Solve 7 = -3*r + o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 220756 and 2748?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v - 6. Determine a(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 9:01 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-104))\/((-63)\/(-6834)). Let m = b + 10\/39. Let s = -37\/22 + -199\/176. What is the common denominator of m and s?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 3*h**2 + 2*h + 5. Suppose 3*p - 14 = -2. Let n be v(p). Are 2 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88274?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 1. Let s be (1 - (-20)\/(-12))*(-4 + 1). Let h(l) = l**2 + 1 + 3 - 2 - 2*l**s + 3*l. Let r(v) = -2*v + 3. Let z be r(3). Give z*f(g) + h(g).\nAnswer: -g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 2\/3*b**6 + 28\/5*b**5 + 26*b**2 + 12*b + 88\/3*b**3 + 18*b**4 - 2. Factor d(r).\nAnswer: 4*(r + 1)**4*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**4 - 33968*z**3\/3 + 54169*z**2 + 37790*z\/3 = 0 for z.\nAnswer: -3779, -2\/9, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2. Let g(p) = p**2 - p. Let f(s) = -6*s**2 + s. Let t be (2*2\/(-4) - -2)*1. Let k(o) = t*f(o) + g(o). Calculate h(k(x)).\nAnswer: 50*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/36256 and -117\/2198020.\nAnswer: 17584160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/15*290\/(-30). Let g = 2\/45 + x. Which is the third smallest value? (a) 0.4 (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13491 and 19729838.\nAnswer: 177568542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 7*p**3 + 4*p**2 + 4. Let i(w) = 10545 + 2*w**2 - 3*w**2 - 10546. Give -4*i(a) - n(a).\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17205?\nAnswer: 3, 5, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.104318 rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1153 + -488. What is the greatest common factor of j and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**4\/12 + h**3\/6 - 33*h**2 + 14. Let a(w) be the second derivative of c(w). Determine a(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -9\/2*z + 3\/8*z**2 - 39\/8 = 0.\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 2*y = 22, -28*g + 9*g + 15*g = -13*y - 116 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 57 = -3*h. Let y = 81 - -224. Find the common denominator of y\/h - 3\/2 and -2\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 475708 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/19? (a) 0.4 (b) -475.26 (c) 1 (d) 6 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-2 - 1 - 3) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*x + 4 - 24 = 0, 3*f + x = -16. What is the biggest value in 0.5, f, 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35128499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, j: 1, l: 1, z: 2, a: 1, d: 1}. Give prob of sequence la.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000112452543 rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133658 is divided by 3517?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/4)\/((-44)\/(-264)))\/((-16)\/5232*-9).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -4210.\nAnswer: -3\/2105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541414.\nAnswer: 2, 167, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -186*j - 75. Give a(-2).\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -2\/13 (b) -66 (c) 13 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 362\/905*10\/(-34)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + m + 2 - 1)*(-9 + 6*m + 9) + 6*m**2 - 1 + 1.\nAnswer: -6*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3012\/119 - -178\/7. Let n be (-48)\/195 - 10\/(-25). Which is the nearest to 2? (a) -1 (b) n (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10495 divided by -2\nAnswer: 10495\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/9)\/((-2)\/(-3)). Let z be v\/1 + (-5 - -2). Is z\/3 + 140\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 1 = z. Let a(m) = -m - 1. Let g be a(z). Solve g*r = -p - 16, -p + 5*p - 41 = 5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 4, 1.8, 2\/17, 2\/13 in increasing order.\nAnswer: 2\/17, 2\/13, 0.5, 1.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 25 = -5*c, 45*r - 98*r - 7 = -52*r + c for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + k**2 - k + 1. Let b be j(0). Let x = -3.6 - -4.05. Let o = x - 0.05. What is the smallest value in o, b, 6\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.069 rounded to 0 dps?\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 2)*(3*l**4 - 3*l**4 - 51*l**5 - 23*l**5).\nAnswer: 370*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -1608?\nAnswer: -160c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5409455 - 1959455. Round l to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 - 1412106 + 705883 + 706234.\nAnswer: -3*d**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c**2 - 2*c + 1. List the prime factors of v(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/27 + (-608)\/(-2412). Is -1 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 5*n = 14, 91*u - 81*u - 3*n = -33 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f - 4 = -24. Let v(y) be the second derivative of y**5\/20 - y**4\/6 + y**3\/2 - y. Calculate the least common multiple of 4 and v(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.744 - -0.644. Which is the fourth biggest value? (a) l (b) 11 (c) 0 (d) 2\/9 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 485, 968, 1451, 1934?\nAnswer: 2417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -1195*w**2 + 2372*w**2 - 1181*w**2. Let p(t) be the second derivative of -23*t**4\/6 - 24*t. What is l(p(q))?\nAnswer: -8464*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**2)**(3\/8)*d**(-4)*(d*(d\/(d\/(d\/d**1)))\/d*d)\/d)**(-17) assuming d is positive.\nAnswer: d**(595\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 11:52 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 295 = -3*y - 4*p, 0 = y - 4*p - 121. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-1))\/((-2)\/206). Let x = k + -69. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 19\/(0 - 4\/(-80)). Suppose -4*q + 2*q + h = 0. Let b = 21 + q. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*m - 3*m + 14 = 0, -3*r - 6 = 3*m. Let k = 27 - r. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-6 + 1)\/((-570)\/47538) and 14?\nAnswer: 5838","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -131.929 and -0.4.\nAnswer: -132.329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 473 - -52?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/5)\/1 - (-39)\/15. Suppose f + 2*h - 4 = 0, 0*h = 3*f + k*h - 9. Find a, given that -1\/3 + 2\/3*a - 1\/3*a**f = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7049 and 1729.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/6 + 69520*l + 7249545600.\nAnswer: (l + 208560)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/1062006 and 91\/146556828?\nAnswer: 146556828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (75\/(-10))\/(50\/20)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6*f - 12. Let o be (-33)\/88 - (-39)\/(-24). Let r be z(o). Suppose 5*t + 10 = 30. Solve t*d - 3*d = r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 - 38. Is y bigger than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azr when three letters picked without replacement from rrrrzzzzzarzz?\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**3 + 3*s**2 + 3*s + 1. Let g be r(-2). Let y = 47 - g. Calculate the smallest common multiple of 20 and y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29664409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*m**2 - 92\/9*m + 94\/9.\nAnswer: -2*(m - 1)*(m + 47)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72.246 + 66.5. Let u = -6 - m. Let o = -0.054 - u. Which is the closest to o? (a) 0.4 (b) 0.1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wlhl when four letters picked without replacement from clwlhjnn.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 11:49 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9566, 9554, 9540, 9524?\n\"Answer: -y**2 - 9*y + 9576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4.275677kg?\nAnswer: 4275677000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 142?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 16*c**2 + 2*c + 15. Calculate j(16).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2 = 4*i, -2*o = -i + 2*o + 9. Suppose 4*b + 788 = -3*w + 800, -2*w + 10 = 2*b. What is the highest common divisor of w and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, n: 4, i: 1, d: 1, s: 4, k: 2}. Give prob of picking 1 d, 1 s, and 2 n.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 3*r + 4 + 12, 0 = 3*h + 2*r - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 5 (b) -1\/172 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 7:25 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 59464 and -0.1.\nAnswer: 59463.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (-841 - -874 - (0 - -66)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 331945807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 3*b + b)*(-1 - 2 + 1 + 4 - 1 - 1 + (2 + 1 - 1)*(3 + 1 - 3) - 1 + 5 - 1 + (1 - 3 + 0)*(1 + 0 + 1)).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 4, 5\/12, -5, -9585, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 72\/(-5) - 2\/(-5). Let m be 4\/z + (-725)\/35. Let y = 29 + m. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 12*r**2 - 11*r + 22. Calculate i(-10).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -12*z**2 - 3*z + 2. Calculate r(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -567 + 67. Suppose -3*p = -4*l + f, -4*l + 0*p + 132 = 5*p. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15676 + 15706.468. Let q = b - -2.52. Let v = 33 - q. Round v to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11817891 is divided by 3512?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220 and 14575?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 11*l**2 - 3*l + 12. Let p(o) = o**2 + 11*o - 11. Let v be p(-11). Is u(v) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -9*u - 5. Let f(r) = 40*r + 16. Let d(m) = -38*m - 12. Let l(w) = -2*d(w) - 3*f(w). What is 5*l(o) - 24*y(o)?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 3*b - 5*b + 5*r, 0 = -3*b - 4*r + 10. Let x = -8 - -13. Solve x*u = b - 31 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15\/4 (b) 12 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -7*u - 3 - 18, -5*u + 35*n + 43 = -4*u + 32*n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37519 is divided by 926?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104 - 70. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -109.8453.\nAnswer: -114.8453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 37005*r**3 - 5*r**2 - 19*r + 19. What is the tens digit of a(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14656, -14688, -14732, -14782, -14832, -14876?\n\"Answer: i**3 - 12*i**2 - 3*i - 14642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 193, 743, 1677, 3031, 4841, 7143, 9973, 13367?\n\"Answer: 6*x**3 + 156*x**2 + 40*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31*i**4\/3 - 1993*i**3 - 19012*i**2\/3.\nAnswer: i**2*(i - 196)*(31*i + 97)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-682*o**4 + 395*o**4 + 359*o**4 - 14*o).\nAnswer: 72*o**4 - 14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 203.714263 + -378.889594. Let h = c - -175.088. Let b = h + 0.0878. What is b rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**2 - 14*j**3 - j**3 - 5*j**2 + j**2. What is the units digit of f(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - k + 2)*(-3 - 1 + 6)*(5 + 16 + 23)*(3 - 3 + 1) as r*k + q and give r.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 108 = -3*z. Suppose -3*c + 48 = z. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, 0.0631, -4, 2\/9, -14\/11?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 5*t - 2*t + (-2*t - t + t)*(5 + 1 - 4))*(-t**2 - 6*t**2 + t**2) - t**3 - 3*t**3 + 2*t**3.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - ((-4)\/1 + 4). Let j(m) be the first derivative of 1\/3*m**3 + 0*m**2 + b*m - 2. Let y(v) = 2*v**2. What is y(j(q))?\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2634*k + 4*k**2 - 2629*k + 5261*k.\nAnswer: 4*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32033, 32160, 32273, 32366, 32433?\nAnswer: 32468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03 + -4.03. Suppose -75 = -29*q - 210 + 48. Put q, 4, z in decreasing order.\nAnswer: 4, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -8 - (-69 + 60)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 1175767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10706 take away 88.0094?\nAnswer: 10617.9906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24683.92 + 25441. Let i = n - 759.78138. Let g = i + 2.7. What is g rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -153*s - 74*s - 5827 - 9836 for s.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -146 - -149. Let s(f) = c - f - 3 - 15. Calculate s(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 542 + -430. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + -10*36\/(-8). Suppose x + c = 2*v - x, 4*x + 52 = 2*v. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 + 43*b + 60. Give i(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 18. Is 7\/4 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23343242 - 21?\nAnswer: 23343221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1526700 is divided by 608.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 14. Let d be j(16). Suppose 0 = -4*o - 4, 7*o = 4*h + d*o + 7. Sort h, -4, -1.\nAnswer: -4, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 285*z**2 + 75*z + 75. Let u(p) = 47*p + 333. Let m be u(-7). Let x(f) = -15*f**2 - 4*f - 4. What is m*n(o) + 75*x(o)?\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*p - 3*p + 3*p)*(-2*p**2 - 2 - 1 + 10*p**2) to the form u*p**2 + b*p**3 + n*p + k and give b.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*w = -2*h + 1, 3*w = 3*h - 3. Let z(n) = 102501*n - 4. Let a be z(h). Round a to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10 + (-767)\/104 + 2 + 38\/(-16). Let j = 6 - 6. Sort -2, j, q in decreasing order.\nAnswer: q, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 4*n**3\/3 - n**2\/2 - 2*n. Let g be r(1). Let q = 20 + g. What is the greatest common factor of q and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 26 = -9. Let j be (-7 - 18) + (0 - -4). Let b = 26 + j. Solve 2*r - 18 = -b*h + h, 3*r + 2*h = a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/(-948) + (-65)\/(-60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + 345?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - ((-474)\/3)\/2. Suppose -5*s + c = -3*s. Let a be s\/(-13)*(-1)\/3. Sort a, -1\/3, -0.3.\nAnswer: -1\/3, -0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 7*g - 2*g = 22, -5*g + 25 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 19*q**2 - 79*q - 1444. Give k(-16).\nAnswer: 4684","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -22 + 12 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*2*-6 - ((sqrt(68)*1)**2 + -2)) + ((sqrt(68) + 1 + sqrt(68))*-6 + sqrt(68) + -2*(0 + sqrt(68)))**2.\nAnswer: 288*sqrt(17) + 11462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 6*k + 7 = 3*r, -5*r = 4*k - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 190 + -99. Suppose 5*t + 3*c - 52 = 0, -11*c = 5*t - 12*c - 76. What is the highest common divisor of t and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-42) + (9 - (-174)\/(-18)). Sort -50, l, -0.4 in decreasing order.\nAnswer: l, -0.4, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3721759 a multiple of 650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*((-4*j + 3*j - j)*(7 + 0 - 3) + 95 - 76*j - 95).\nAnswer: 168*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + aa2?\nAnswer: aa7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2. Let b(g) = -2389*g + 80*g**2 + 2389*g. Calculate b(p(r)).\nAnswer: 80*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2121011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.44 + -0.440031. What is d rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4494 - 5463. Let q = n + 519. What is q rounded to the nearest one hundred?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-3) - 26)\/(-1). Suppose 2*w = 3*u - 4, 0 = 3*w + w + 3*u - z. What is the second derivative of -2*o**5 - 4*o + w*o**5 + 5*o wrt o?\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11124 minus -484?\nAnswer: -10640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 19*f + 3. Let j(g) = -9920758*g. Give j(k(l)).\nAnswer: -188494402*l - 29762274","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 - -1 - (64 + -62)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/5, 2107, 0.3, 0.0781, -5 in descending order.\nAnswer: 2107, 2, 0.3, 1\/5, 0.0781, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**6 + 7*p**5 - 5829*p**3 + 433576*p**2?\nAnswer: 120*p**3 + 420*p**2 - 34974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85695 (base 11) to base 8.\nAnswer: 363305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 75a2f (base 16) to base 9\nAnswer: 813856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 - 3*z - 14. Let s be q(11). Suppose 7*a = 3*a + w + s, -a = -2*w - 54. Let o be a\/20*(-2)\/(-6). Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 3:31 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -93 - 15. Let g = n + 114. Let d = g + 30. What is the remainder when d is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82078 + -39209. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 11*w**2 - w - 8. Let i be p(-11). What is the greatest common factor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15904131*l**3 - l**2 - 1646*l + 142 wrt l?\nAnswer: 95424786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1024 + 234 = 17*g. Let b = g + -80. Let j(s) = s**2 - 3*s - 1. Let v be j(4). What is the second biggest value in -2\/11, b, v?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(3*(-4)\/12*-1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114969, 114982, 114997, 115014?\nAnswer: 115033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76 and 144.\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 148*i**2 - 70*i + 16. Is o(6) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**4 - 1 + 1 + (0*j + j + 0*j)*(0*j**3 - 2*j**3 + j**3) - 111*j**4 - 271*j**4 + 136*j**4.\nAnswer: -249*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 15. Let b = -160 + 117. Let w = b - -53. Calculate n(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -41. Suppose 3*n + 138 = x + 136, 3*n = -3*x - 54. Which is bigger: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -12504*k - 237546. Give q(-19).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n - 60. Calculate the least common multiple of 24 and i(-20).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 16 = -7*x. Calculate the greatest common factor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 69.\nAnswer: -3, 5, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + b = 44, 5*f + b + 14 - 84 = 0. Suppose 6 = 5*u + 3*w - 16, 3*w - 12 = 0. Let h be (1\/u)\/(5\/130). What is the greatest common factor of f and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*-10*(-10)\/75?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*q - 84*q + 10*q)*(0 + 3 - 1).\nAnswer: -206*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0714 - -0.05671646?\nAnswer: 0.12811646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yu when two letters picked without replacement from yuuuyuuu?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*f**2 - 2*f + 7\/4.\nAnswer: (f - 7)*(f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 4 = b. Suppose 6*w = b*w + 4. Solve -4 = w*j - 2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -524, -1046, -1568?\n\"Answer: -522*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**3\/5 + 17*o**2\/5 - 96*o = 0.\nAnswer: -32, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 562.067 + 2\nAnswer: 564.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/11 + (-60)\/(-33). Let t(w) = -w**2 + 1 - w**2 + 0*w**v. Let y(a) = a + 1. Let c be y(-3). Determine t(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*i - 10. Let s be i\/(-8) - 295799\/(-581532). Let n = 2\/903 + s. Which is greater: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 132\/(-10) - 48\/(-40). Let i(v) = -4*v - 16. Let l(f) = 1. Calculate n*l(m) - i(m).\nAnswer: 4*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87382?\nAnswer: 2, 43691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3. Let f(d) be the first derivative of 5*d + 3 + 1\/2*d**2. Give f(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**3 - 20*m**2 + 5*m + 22. Let t be j(-9). Let r = t - -189. Solve s - 5*s = -r*f + 12, 4*s - 4 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.58 * -20\nAnswer: -31.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 710076007 to the power of 1\/2, to the nearest integer?\nAnswer: 26647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*g - 2 = 0. Let i(d) = d**3 - 4*d**2 - 7*d + 5. Let b be i(5). Let f be 7 + b - (0 + g). Solve -f = -n - 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 382337\/59680 - 77\/11936. Suppose 1\/5*o**2 - b - 31\/5*o = 0. Calculate o.\nAnswer: -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1))**(-1\/10))**30 assuming u is positive.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -250 (base 7) to base 10.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000519046173 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -16311000 rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + 5*(sqrt(17) + -1) + 1*sqrt(153) + 3 + (sqrt(17) - sqrt(51)\/sqrt(3)) + sqrt(17))**2.\nAnswer: 216*sqrt(17) + 5544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/40380 and -187\/780.\nAnswer: 524940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**2 + 3*j**2 + 4*j**3 + j**4 + 12*j**3 - 18*j**3 - 6 to the form z*j**4 + a*j**2 + f*j**3 + o + y*j and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1 (b) -802 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -4. Suppose i = -r + 1 - 2. Is 1*r - (1 - 45) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2035 - -1?\nAnswer: -2034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from ahsmshhssshseh?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f. Let a(k) = -k**3 + 19*k**2 - 20*k + 39. Let d be a(18). Let c(s) = -d*s - 4*s + s. Let u = -3 + -18. Give u*w(q) + 4*c(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 5:02 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*l*n**3 - 3*l*n - 219632*l + 338*n**3 wrt n.\nAnswer: 6*l*n**2 - 3*l + 1014*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91, 235, 621, 1369, 2599?\nAnswer: 4431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 16*m - 10. Let o be h(-15). Suppose -o*a + 10*a = 10. Solve 0 = -0*k + a*k + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1030 - 1015 + 7*y - 15.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, -1, 1\/13, -0.2.\nAnswer: -1, -0.2, 1\/13, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4632890 - 458650657\/99. Let a = i - 490\/9. What is the biggest value in a, 4, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/(14\/189) - -16?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b\/(b**(-4)\/b))\/(b*b**(7\/3)))\/(b*(b*(b\/b**(-5))\/b)\/b*b**(-6\/7)))\/((b**0\/b*b*b)**16*b**(-2\/9)\/b**(1\/4)) assuming b is positive.\nAnswer: b**(-4033\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1018 and 1144?\nAnswer: 582296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*2*((-14)\/8)\/(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -5. Suppose -a*g + 3*r + 95 = 0, g - 40 = 7*r - 3*r. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/35 - (-5)\/((-250)\/(-20)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136 and 3247.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1771 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 195 - 139 = -5*m, 0 = 3*f - 21. Calculate the remainder when 883 is divided by m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 321.\nAnswer: 1284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*3 + (-51)\/(-3). Calculate the highest common factor of 98 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5275*g + 10558*g + 14 - 5279*g.\nAnswer: 4*g + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0211993 rounded to 3 decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 657*m - 623*m = -340 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 407 divided by -6.\nAnswer: -407\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbrrcswcrcrccrwzcwbb. Give prob of picking 1 b and 1 c.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 22.71369 days?\nAnswer: 545.12856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449647.\nAnswer: 11, 41, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a + 3*a + 3*a)*(3 + a - 3)*(10 + 2990*a - 491*a - 10) as j*a**3 + t + i*a**2 + z*a and give j.\nAnswer: 7497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18548179, -37096352, -55644523, -74192692, -92740859, -111289024, -129837187?\n\"Answer: o**2 - 18548176*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*v + 4*v. Suppose -4*d + 5 - 1 = 0. Let t = 24 - 29. Put t, v, d in decreasing order.\nAnswer: v, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**5\/7 + 10*i**4\/7 + 6*i**3\/7 - 18*i**2\/7.\nAnswer: 2*i**2*(i - 1)*(i + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 25*f**2 + 4*f - 5. Suppose -2*c - 16 = -2*w, 9*w - 16 = -c + 4*w. Is d(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 13*j**2 - j + 1. Suppose 13*n + 7 + 32 = 0. List the prime factors of l(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1040 + 1042 - (-8)\/(-3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1578424 to the nearest integer?\nAnswer: 1256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 2, e: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12173*k**4 + 39961*k.\nAnswer: 146076*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**5\/4 - 1705*z**4\/4 + 99925*z**3\/4 - 1981715*z**2\/4 + 5739825*z\/2 = 0.\nAnswer: 0, 10, 29, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2 + 16*j - 30. Let h be r(-7). Solve 0 = -h*t + 2*a - 2 + 8, 9 = -4*t - 3*a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(243) + 5 + -2*sqrt(243)) + 0 + sqrt(75) + sqrt(75) + 1 + (0 + sqrt(75) - sqrt(75)) + sqrt(3) + sqrt(9)\/sqrt(3) + 1 + 4)**2.\nAnswer: 42*sqrt(3) + 1324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 6*z. Suppose -k - 5 = z, h - 4*k - 26 = -2*h. Suppose -4*w - 2 = 2*l, 5*l + 4*w - 13 = -0*w. Put 4, l, h in decreasing order.\nAnswer: l, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2922 is divided by 73.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 34, 34, 28, 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2 - 450*x - 16*x**2 + 10*x**2 + x**2 + 7*x**2 to the form z + u*x**2 + k*x and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5089*b**3 - 9321*b**3 + 4198*b**3.\nAnswer: -34*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -342310*d**3 + 175*d**2 - 1283*d wrt d?\nAnswer: -2053860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 894143.\nAnswer: 103, 8681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33170 + -33326.496. What is h rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 11:56 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 143723386 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a century in months?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 226\/693 + -4\/99. Let p = -5633 - -5637. Which is the closest to -0.1? (a) p (b) -2 (c) 5 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*b + 12 = 255*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -10*w + 12. Let u be d(0). Let v = -6 - -3. Let m = v + u. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 2*m, -4*g + 3*m = 2 - 3. Let v be 0\/(-8) + 89*(-2 + g). Let b = v + 97. What is the highest common divisor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**2 - 2 - 2*m**2 + 1 + 8*m**4 + 2 - m as i*m**2 + q*m + c*m**3 + h*m**4 + g and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3 + 0)*(0*o + 3*o - o + 1) + 4*o - 2*o - o + (-1 + 3 - 4)*(-2*o + o - o).\nAnswer: -11*o - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3095504 divided by 213\nAnswer: 3095504\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/9 - (-4)\/(-18). Let h = -27 - -26. Does p = h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16287947?\nAnswer: 13, 41, 30559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(18)\/sqrt(2)))\/sqrt(4) + sqrt(20)\/(sqrt(24)\/(sqrt(6) + sqrt(54))).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2393989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f - 18*f**2 + 0*f + 17*f**2 wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -559*z**3 + 37683*z - 108844759 wrt z.\nAnswer: -1677*z**2 + 37683","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.3 + -4.5. Let t = w - 6.3. What is t rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 244 or 51?\nAnswer: 244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 27*u**2 + 160*u + 43. Let f(y) = 8*y**2 + 51*y + 15. Let a(d) = 2*b(d) - 7*f(d). What is a(-18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 3*t**2 - 6*t - 5. Let n be i(-3). Suppose -5*r - 2389 = -3*k, -4 = 3*k - n. Is (-1*r\/(-12) - -3)*-3 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 10:35 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**2 + 0*x**2 - 6*x**2)*(112*x - 112*x - 5*x**2) + (4 + 2*x**2 - 4)*(-2*x**2 + 2 - 2) - 2*x**4 + 0*x + 0*x.\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 60*k - 195. Let i(w) = 15*w**2 + 963*w + 3120. Let u(s) = -2*i(s) - 33*r(s). Factor u(n).\nAnswer: 3*(n + 5)*(n + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -372.\nAnswer: -111.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*i + 3*i + 30, 3*i + 5*y = -31. Suppose 2*o + 5*z - 3 = 22, o + 3*z = 14. What is the remainder when 13 + -2 + i\/(-1) is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lfnf when four letters picked without replacement from {h: 2, f: 2, b: 1, l: 4, n: 1}?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25396\/15073563 - 2\/13791. Is m > -2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) -29 (c) -4 (d) -2\/15 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 18\/8)*(-8)\/6. Let g be (-1)\/2 - 3\/(-6). Solve 5 = -3*s - x*a - 13, g = 2*s - 4*a for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 9 = -3*h. Which is smaller: 2\/27 or h?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5399 - -0.5\nAnswer: 5399.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5883508 to the nearest integer?\nAnswer: 2426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 10:06 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/2, -6\/125, -5, -4?\nAnswer: -6\/125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -12\/5, -2\/13, 1, -13595, -4 in increasing order.\nAnswer: -13595, -4, -12\/5, -2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21304452340 + -1?\nAnswer: -21304452341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/(2\/(-2))*(-233)\/1864.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 146686, -5 in increasing order.\nAnswer: -8, -5, 146686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6808 - 27231\/4. What is the closest to g in 1\/4, -1\/7, -13, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24743 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 285 + -288. Let i(s) = 1. Let r(a) = -a - 2. Let j(f) = -3*i(f) - r(f). What is j(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40.009 + 0.009. Let s = d + 39.06. What is s rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 334671, 3, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 362973 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 197\/7. Let k = 11\/2 + -5. Let c = 0.02 + -5.02. What is the smallest value in t, k, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 454976, 454989, 455000, 455009, 455016?\n\"Answer: -n**2 + 16*n + 454961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 400 + -485.5. Let p = y + 85. Which is the smallest value? (a) 0.3 (b) 2 (c) 5 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/10*111176\/(-7483).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2107*i**2 + 2787*i**2 - 6389*i**2 in the form d + r*i + f*i**2 and give f.\nAnswer: -1495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a. Let v(k) = 5*k - 2. Let u(y) = 4*y + 4. Let x be u(-3). Let q = -12 - x. Calculate q*m(o) - v(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -2*d**7 - 86*d**3\/3 - 59. What is the third derivative of y(j) wrt j?\nAnswer: -1680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 26*n - 14. List the prime factors of i(2).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2032002342 (base 5) to base 16.\nAnswer: -3fa9be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 280 (base 14) to base 4.\nAnswer: 13320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/j**(2\/7))*j**(6\/5))**0 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-26)*c*c*c\/c**(2\/5))\/(c*c*c*c**(14\/3)*c*c*c)**(4\/23) assuming c is positive.\nAnswer: c**(-8713\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 15. Suppose 3*v + 40 = 1. Let p be v\/(-21) - u\/15. Which is the biggest value? (a) -0.7 (b) -0.4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22256231?\nAnswer: 22256231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*p)*(8*p**3 - 4*p**3 + 5*p**3).\nAnswer: -18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 146, 201, 256?\n\"Answer: 55*x + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-40))\/(54\/(-360)*10)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3241322 (base 5) in base 7?\nAnswer: 321535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 7*j + 3. Let v be q(7). Let u(k) be the first derivative of 1\/2*k**2 - 1\/3*k**v - 2 + 0*k. What is u(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*s = -47*s + 78 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14186 and 1804?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/24*-4*(-5)\/6?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 9. Let q = 12 + h. Let a(f) = f**3 + 7*f**2 + 6*f - 11. Let j be a(-5). Calculate the highest common divisor of q and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t + 5894 = 5884. Let w(f) = -4*f**3 + 2*f + 1. Determine w(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23.1 + -23. Round x to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1281 - -1281.649. Let y = 0.245 + -0.124. Let g = y + z. What is g rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -84 or -82?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(1\/13)*q)*q)\/(q\/q**(-27\/7)) assuming q is positive.\nAnswer: q**(-358\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7942 divided by 23722.\nAnswer: -3971\/11861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49303277 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 6*u**2 + 2*u - 9. Let c be s(6). Suppose -c*a + 122998 = -g, 3*a = -a + 4*g + 163992. Round a to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 495324 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 15234573 and -0.824.\nAnswer: 15234572.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -4*p - 28, -4*n - 3*p = -5*p - 18. Solve 5 = -f - 3*u, -n*f + u = -0*f + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 0 - 1) + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83 + 30 - 1)*(h - 2*h + 24*h).\nAnswer: -1242*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00041468 to six decimal places.\nAnswer: 0.000415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*h - 1791*h - 1029*h)*(-15*h - 4 + 4).\nAnswer: 41610*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*(1 + sqrt(5)) - ((sqrt(35) - sqrt(35)*-2)\/sqrt(7) + -4).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13326 + 13326 + 7*g.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-6)*(-8)\/60*-5. What is the closest to p in 35, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 22, 0.3, -5, -55?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403 = -5*l + b, -l - 2*b - b = 87. Let v be l + 80 + 2*3. Solve 3*j - 1 = -4*t + 4, -v*t + 15 = -5*j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93166 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 7*m - 3*m)*(-8*m**2 + 109*m**2 - 387*m**2 + (4 - 1 - 1)*(0*m**2 + 0*m**2 - 2*m**2) - 5*m**2 + 4*m**2 + 3*m**2).\nAnswer: -576*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (313*j**2 - 927*j**2 + 312*j**2 - 1003*j**2)*(-3*j**2 - 1 + 1).\nAnswer: 3915*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 2. Let t be ((-1)\/(7\/(-19)) + o)*105. Suppose -5*s + 65 + t = 0. Calculate the remainder when s is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 3.1. Let o = -220 - -220.89. Let b = 4.89 - o. What is the closest to y in 2\/7, b, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -79020.4 to the nearest one hundred.\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12268944 by -3067236.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 581574679 and 1715.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 320381483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 - -1)*12\/(-15). Solve -d*p + 5 - 2 = -5*o, -2*o - 8 = -5*p for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2 - 4*y**2 - 3*y**2 + 6*y**2 - 4*y. Let i be b(-5). Let f be 2*i\/6*-4. Solve 1 = -f*q + 3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -23*p - 51*p + 9*p + 9 - 2 + 6. Let d(r) = 16*r - 3. Calculate 13*d(o) + 3*u(o).\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 50443565.83 + 4\nAnswer: 50443569.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 297593.52 months in millennia?\nAnswer: 24.79946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 505894625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -677, -1259, -1753, -2165, -2501?\n\"Answer: -w**3 + 50*w**2 - 725*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1400337841 divided by 5.\nAnswer: -1400337841\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 461\/3 in -5, -0.2, 3\/2, 4\/5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 2:34 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/7)\/l)\/l**(-14)*(l**(-3)\/l)\/((l*l**24)\/l) assuming l is positive.\nAnswer: l**(-104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2819185?\nAnswer: 5, 563837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 492.0138 years?\nAnswer: 0.4920138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56406345*f**5 + 114*f**2 + 52557?\nAnswer: 3384380700*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 16*t + 2. Suppose 11*z - 14*z + 51 = 0. What is the remainder when 54 is divided by d(z)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573908247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a tonne in kilograms?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -4. Let d be (-1)\/((-6)\/k)*-1. Let j = -0.07 - -0.57. Which is the third smallest value? (a) d (b) j (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14837, 14779, 14717, 14651, 14581, 14507, 14429?\n\"Answer: -2*n**2 - 52*n + 14891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 768 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 s when four letters picked without replacement from {s: 4, a: 5, c: 1, e: 5}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 6*h**3 + 4*h**2 + 3*h - 3. Let x = -453 + 457. Let w be 2 + 0 + (-7 - (-4 - 4)). Let z(u) = -7*u**3 - 5*u**2 - 4*u + 4. Give w*z(v) + x*j(v).\nAnswer: 3*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-36)\/(-66) - (-68)\/(-374). Factor 10\/11*i**3 - 16\/11*i**2 + 2\/11*i + v.\nAnswer: 2*(i - 1)**2*(5*i + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56538504.1439 + -56536237. Let t = b + -2152.136. Let u = -115 + t. What is u rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 62.43103?\nAnswer: -62.63103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 232127 to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -129 - -139. Suppose 0 = 4*c - 5*c. Suppose c = -i - 0*i + 3. What is the remainder when p is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 55? (a) 0 (b) -2\/13 (c) 0.5 (d) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 3:06 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 415675530 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102000 + -12022000?\nAnswer: -20201000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**3 - 35*l**2 + 657*l - 259. Calculate x(-29).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 8*o**2 + 7*o. Let f be p(4). Let t be (f\/27 - -3)*3. Solve -1 = -4*a + 5*s + 26, 0 = 3*a - t*s - 24 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17411 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtiqqro. Give prob of picking 1 t and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*v = -83, 2*r - 5*v - 40 = -0*r. Let x = 0 - -3. Suppose -y - x + r = 0. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 767 + 767 - 1534 + z**3 + 247*z**2 to d*z + f + v*z**2 + q*z**3 and give v.\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*n - 297*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 246396191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -10.88. Let v = -0.11 + t. Let g = -667\/5 - -133. Which is bigger: g or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 728 = 5*m + 58, -5*a + 829 = 2*m. Is 36 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -34365596 and 20.21?\nAnswer: 34365616.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3797 is divided by 190?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-994)\/(-245) + -4 - ((-2996026)\/(-805))\/31\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-3)*((-23)\/((-414)\/(-72)))\/(16\/(-24))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -147412, -147349, -147244, -147097, -146908?\n\"Answer: 21*i**2 - 147433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5, -25*w = -20*w + m - 176. Solve 26*t - 36 = w*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*n + 3950 = 0, 23732 = 6*w - 7*n + 5*n. What is the remainder when w is divided by 247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36631 + -18924. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 2. Suppose 57*x + 165 = 68*x. What is n(x)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from poevelploooleopool.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 12. Suppose -b = 3*b + 12. Let a be (-2)\/2 + (-2)\/2. Sort j, b, a in increasing order.\nAnswer: b, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 * -18\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -5*r + 100, q - 2*q = 5*r - 8. Is q at most 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iff when three letters picked without replacement from {f: 3, c: 3, x: 1, i: 6, n: 1, p: 4}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 7776?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -898, -901, -904, -907, -910?\nAnswer: -913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.4 (b) 1 (c) -128 (d) 0.17 (e) 77 (f) 1\/3 (g) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 b when two letters picked without replacement from {l: 3, b: 3, w: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 147 - 87. Suppose 10*d = -5*d + j. Which is the closest to -1? (a) d (b) 1\/2 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 150201113 to the nearest integer?\nAnswer: 12256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46307 - -46607.248. Let q = 592.2073 - x. Let d = q + -292. Round d to three dps.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196 smaller than 1195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*s = 2. Let p be (-960)\/(-105) + s\/7. Let i(m) = -m**2 + 9*m. Give i(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-91277)\/(-1710) + 4 + (-168)\/40. Let r = -1136\/19 + p. Find the common denominator of 49\/9 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433410799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*3 - sqrt(700))\/sqrt(4) - (-6*-1*sqrt(77) - sqrt(77))\/sqrt(11).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 23 + 5. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 2\/9, 7, 3\/4 in increasing order.\nAnswer: -1, 0, 2\/9, 3\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35.1073078 + -2.2927066. Let v = 37.4 + z. What is v rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -12*z**2 + 2. Let k be y(0). Let a = -19 - -35. Let c be ((-8)\/10)\/(4\/(-10)). Solve -4*d + 2*w + a = k, 10 = 2*d + c*w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*f**2 + 0 + 3*f**2)*(4*f - 6*f + 3*f) - 3*f**3 + 2*f**3 + 5*f**3.\nAnswer: 5*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001 times -0.1?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 64 = -732. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -5884 (c) -1\/3 (d) -2 (e) 0.4 (f) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 9, 5 in descending order.\nAnswer: 9, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3566 - 2005. Find the second derivative of 13*w**3 + 3*w - g + 1561 wrt w.\nAnswer: 78*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.8090065*2.\nAnswer: 3.618013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 11 - 5 = 5*s, 2*s + 9 = 5*t. Suppose -7*f - 39 = 4*c, -4*c + f + 41 - 40 = 0. Sort t, -6, c in ascending order.\nAnswer: -6, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 + 54. Let p be (2 - 1) + 3 + 1. Suppose -4*o + 60 = -4*w - 16, 5*o = -p*w + 85. Calculate the greatest common divisor of o and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23\/6 + 5\/2. Let z = -3736.3 + 3736. Which is the closest to z? (a) 0.4 (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99.7 + 100. Which is the second smallest value? (a) 4\/5 (b) 2 (c) u (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 679, 1, -0.6, -2\/3, 11\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-42*(-4)\/(-16))\/(6\/8). List the prime factors of 751 + 7\/(j\/12).\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -1\/20*y**5 - 1\/6*y**3 - 2*y**2 + 0 + 0*y**4 + 0*y - 1\/120*y**6. What is f(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -552?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 2011018360?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*d - 2*x = 46*d + 44, 4*x - 19 = -9*d - 107 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 7 + 6)*(40 + 5 - 5)*(-2*o**4 - 1 + 3*o**4 - 1) in the form l*o**3 + j*o + m*o**4 + b + a*o**2 and give b.\nAnswer: -800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 + 33. Is 8 a factor of -1*k*2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 12:35 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -0.1548?\nAnswer: -0.0774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + -4 - -5) + 33492664\/(-2). Let t be (8\/(-12))\/(6\/(-160682985)). Let a = t - w. Round a to the nearest 1000000.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 103228 and 516140?\nAnswer: 516140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12422\/(-3))\/(72\/(-27)). Let r = 1530 - p. Calculate the common denominator of r and -31\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 11:10 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*q - q. Suppose -4*f - 5 = -3*m, 4*m + 3 + q = -3*f. Let i be (-330)\/m*6\/9. What is the greatest common factor of 20 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmrq when four letters picked without replacement from rtvqmqmqqyqrvqr?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**8\/1008 - 2*k**7\/315 - k**6\/72 - k**5\/90 + 153*k**2\/2 - 226. Let m(w) be the second derivative of c(w). Factor m(f).\nAnswer: -f**2*(f + 1)**2*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 minus -6016677802130?\nAnswer: 6016677802088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 852723, 3409247, 7670121, 13635345, 21304919?\n\"Answer: 852175*t**2 - t + 549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/6)*r*r*r**(-2\/5)*r*r**(-1\/3)*r**(-2\/11) assuming r is positive.\nAnswer: r**(211\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - (-5)\/(-3)) + 2\/(-6). Put 0, n, 4, -3 in ascending order.\nAnswer: -3, 0, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 7*k + 7. Let h be (3*91\/(-26))\/(k\/2). Solve -7*y = -0 + h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15783115, 15783142, 15783169, 15783196?\n\"Answer: 27*y + 15783088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**2\/6 - 26776*j\/3 + 410918 = 0.\nAnswer: -53598, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1698, -3752, -9324, -20172, -38054, -64728, -101952, -151484?\nAnswer: -215082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255, 1030, 2323, 4134, 6463?\nAnswer: 9310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 - 17*c. Let s(u) = -u - 282. Calculate s(b(j)).\nAnswer: -2*j**2 + 17*j - 282","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -164.\nAnswer: 25\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*f - 1445 - 203 = 152 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 156 and 4.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i*n*v + 3*i*v**2 + 8359996*i - 2*n*v**2 - n*v - 53662*n - 7*v**2 - 1 wrt i.\nAnswer: 3*n*v + 3*v**2 + 8359996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/8 + 2019*b\/4.\nAnswer: b*(b + 4038)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from ubuuuubu?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65843.\nAnswer: 65843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6014 + 50365. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5*s + 145, 2*q = -4*s + s + 95. Let l be -42 + q - ((-9)\/3 + 1). Solve -5*f - a = -11 + 30, 4*f + 3*a + 13 = l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b**4 + 2499*b**3 + 173049*b**2 - 59631*b - 115926 = 0 for b.\nAnswer: -139, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2627*w + 26354. What is the remainder when n(-10) is divided by (-1)\/2*(-57 + -1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, e: 1, i: 1}. What is prob of sequence tt?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*l + 9*l - 26 = -188. Let p(s) = -2*s - 2*s + 11 + 12 - 7. Let x(n) = -n + 5. Calculate l*p(k) - 10*x(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 - 4*v - 3. Let b be s(-2). Solve -8 = 5*n + 2*a, -2*a - 3*a = -4*n - b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25.65 - 10.488. Round g to one decimal place.\nAnswer: 15.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - -4. Let z = u - 13.9. Which is the second biggest value? (a) 4 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 (base 7) in base 14?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 260 = 7*h. Suppose -5*a + h = 10. Suppose -4*b - 3 = -a. Solve b = n - 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 5*h + 2*s, -h - 2*s + 8 = 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1723797 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 6482650.8 to the nearest 1000.\nAnswer: 6483000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.068 - -0.176. Round s to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 + 2*s**5 + 0*s**3 + (0*s + 4*s - s)*(-3*s**4 + s**4 + 0*s**4) - 2*s**5 + 6*s**5 - 2*s**5.\nAnswer: -2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21*150\/18 - -2. Let r = q - 175. Let z(a) = -3*a**3 - 3*a**2 - a - 2. Let w be z(-2). Solve 2*f - 4*f = -r*i - w, 0 = 4*f - 20 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 0*v + 0*v + (99789 - 99789 + 323*v)*(-4 + 2 + 0)*(-1 + 6 - 4))*(-3*v - v + 2*v).\nAnswer: 1290*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 226594817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 5*h**2 + 4*h + 22. Let a be d(-5). Let q(f) = 1079 - 1079 - f**a. Let t(y) = 6*y. Give t(q(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -27\/2, 1\/4, -5, -2, -2\/7, 4, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 13*k - 135 = 0. Calculate the greatest common factor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*g + g - 4*a, a = -4*g - 5. Put 18, 1, 3, g in decreasing order.\nAnswer: 18, 3, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44 + -37)*(-7)\/((-98)\/8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4098*25\nAnswer: 102450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -7, 0, 11, 26, 45, 68?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n + 96 - 210 + 116. Let k be (1 - 2)\/(2\/(-4)). Let q(o) = -7 + 1 - 4*o + k. Give 7*c(m) + 4*q(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -3\/2*x**2 + 0*x - 1 - 1\/60*x**4 + 1\/100*x**5 + 0*x**3 - 1\/600*x**6. Let a(z) be the second derivative of v(z). Factor a(s).\nAnswer: -s*(s - 2)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g + 24. Let d be k(11). Suppose 16 + d = 3*b. Let w be (-16)\/(-36)*b*9\/6. Let r(j) = -2*j + 3. Let z(v) = -3*v + 4. Determine w*z(n) - 5*r(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5182?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 3, c: 13}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2eb - -9?\nAnswer: -2e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 17. Let i(x) = -5*x + 82. What is 4*i(s) + 20*r(s)?\nAnswer: -40*s - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3624*q + 32980 + 21380 = 0 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, o: 4, q: 10, w: 2, h: 1}. Give prob of picking 1 o, 1 j, and 1 w.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60848 is divided by 30329.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-3))\/((-6)\/6*-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a - 5*a - 1 - 2*a**2 - 1 + 2*a**3 + a + 3*a**4 to the form n*a**4 + d*a + p + x*a**3 + b*a**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.531817 nanometers to meters.\nAnswer: 0.000000004531817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10960219.\nAnswer: 10960219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -12. What is the highest common factor of c and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/7805 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 4\/17, 0.1, 0.2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 7927\/4 (b) -5 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40890 and 20?\nAnswer: 81780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -86773*j*k**3 + 268*k**3 - 7*k + 4 wrt j.\nAnswer: -86773*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.373, -4\/9, 0.05, 1, 8, -3, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((3\/(-21))\/1)\/((-24)\/80664). Let h = q - 478. Which is the second smallest value? (a) 4 (b) -0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whw when three letters picked without replacement from wwwhwwwhwhwwhwhwwh?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 8\/28 + 9764*6\/168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120101002112222 - 12?\nAnswer: -1120101002120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m. Suppose 0 = i - 0*i - 1. Let s(r) = i + r + r + 0*r + 0. Calculate 6*o(j) + 2*s(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1150 - -639. Let c = -1017 - r. What is the tens digit of ((-6)\/4)\/(11\/c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 14733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 7*x - 45. Let k = -37 + x. Which is greater: 5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c76 (base 13) to base 7.\nAnswer: -25002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16369 + -16371. Let u = -6.4 - -6. Which is the second smallest value? (a) -0.03 (b) d (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5445 - -7386. Calculate the remainder when v is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 589*f**6 + 7*f - 14*f**2 - 7*f + 2*f + f**3 + 1069*f**6 + 91 - 4*f wrt f.\nAnswer: 198960*f**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 40\/45 - ((-10)\/18)\/(5\/70). Solve -8*b + x - 2\/3*b**2 = 0 for b.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -86 + -18?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4745054 or -4745049?\nAnswer: -4745054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -25\/6*o**6 + 41*o**5 + 0*o - 6*o**4 - 16*o**2 + 52 - 124\/3*o**3. Suppose r(t) = 0. Calculate t.\nAnswer: -2\/5, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 3 - 5\/((-5)\/6). Suppose 0*w + w + b - 39 = 0, -2*b - 223 = -r*w. List the prime factors of w.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80 + -562\/7. Let h = -0.254 + -1.746. Put 13, h, j in increasing order.\nAnswer: h, j, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*32\/(-120))\/((-5)\/(-15)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1068*d**3 - 202*d**2 + 1.\nAnswer: 6408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 2163)\/(91 - 89). Let y = -638 - q. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3900)\/(-65) + (-48 - -127)?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -369, -435, -501, -567?\n\"Answer: -66*u - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**2. Let v(w) = -424*w. What is v(g(t))?\nAnswer: 1272*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 7, 1\/4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j + 1 = 25*j. Let t(y) = -y**3 - y**2 - y - 1. Let c(v) = -3*v**3 - 17*v**2 - 5*v - 37. Let b(x) = j*c(x) - 4*t(x). Is b(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(242) - (sqrt(242) + -2*(1 + sqrt(242)) + sqrt(242))) + 2 + 1*(1*(1 + sqrt(242) + sqrt(242)) + 2*sqrt(242)*-2))*5)**2.\nAnswer: 33000*sqrt(2) + 102425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 4) + 4 + (2 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(3\/8)\/u**(-14)*((u*u\/(u\/((u*u\/u**(-3\/13))\/u)))\/u)\/u**(15\/7) assuming u is positive.\nAnswer: u**(9801\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**4 + 2*x**4 + x**4)*(-8*x - 8*x + 11*x) - 21*x**2 - 5*x**3 - 15*x**2 + 38*x**2 - x**5 - x**5 + 3 - 3.\nAnswer: -7*x**5 - 5*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*p - 10*p + 50*p + 27*p + 8*p**4 - 2*p**2 to s + j*p + h*p**3 + k*p**4 + t*p**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -234. Does 27 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 25. Suppose -3*s + 4*s - 3 = -4*x, 2*x = -s - 1. What is the second smallest value in -3, k, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257330479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 r when three letters picked without replacement from {v: 3, b: 1, k: 4, r: 2, j: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 - -30 - 15 - -22.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 253691, -1, -488.\nAnswer: -488, -1, 253691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.02 - 16.02. Which is the fifth biggest value? (a) 65 (b) -5\/2 (c) -0.5 (d) -3 (e) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2510*t**2 + 2055 - 1280 - 5035*t + 1745 - 1156*t**3 + 1161*t**3.\nAnswer: 5*(t - 1)**2*(t + 504)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (0 - (0 - -1)) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 + 0.4. Let q = 0.4 - d. Let m be 5\/(-4)*6\/(-15). Which is the nearest to 0? (a) m (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5638680 and 426760?\nAnswer: 9080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/(-10))\/((-12)\/(-30)))\/((-23)\/24)?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 2:56 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 55*y**2 + 115*y - 352. What are the prime factors of h(-59)?\nAnswer: 11, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -22*k - 516. What is q(-26)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w + 17. Calculate the remainder when v(0) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -26. Are j and -1\/31 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (873\/194)\/(18\/2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-420)\/(-378)*16\/((-64)\/180)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-15) + (-1444)\/570)\/(2\/(-335)). What is the greatest common factor of 12 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 0.0006, 0, -0.1, 1\/13, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -11. Let b(y) = 2*y + 2. Let o = 3212\/35 - 426\/5. Calculate the common denominator of b(p) and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 496804813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-3))\/(2\/12). Let d be a*((-15)\/(-6) + -2). Which is smaller: -1\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q - 13. Let p(o) be the first derivative of 6*o**2 - 25*o + 78. Let j(c) = 4*p(c) - 7*r(c). Calculate j(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24.57 * 0.57\nAnswer: 14.0049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2 - 2 - 1 + i. Let j be n(7). Suppose j*y = y, y + 4 = -4*l. Is l greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1540 divide 55107360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9837?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 176537075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d + 120 = 41*d. Let n(r) be the second derivative of 7\/75*r**d + 0 + 9\/50*r**5 - 2\/5*r**2 - 3\/5*r**3 - 2*r - 1\/6*r**4. Let n(k) = 0. What is k?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9794*m + 217097 = -7653*m + 740507 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from tec.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9*1 + -14 + 13 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 134 + -134. Solve p + 3 - 4 = q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*w - 3*i, 4*i = -3*w - 0*w + 2. Let h be ((-1)\/(w\/4))\/9. What is the smallest value in 0.4, -4, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12\/25 + 2\/25. Let h = 7183.1 - 7183. Which is the closest to h? (a) -3\/5 (b) k (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3019221*a**2 + 12*a**3 - 15*a**3 - 3019221*a**2 + 2*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8752149 grams in milligrams?\nAnswer: 875.2149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 544?\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3\/7 - 56136*y**2\/7 + 56138*y\/7 = 0. What is y?\nAnswer: -28069, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 46505, 46504, 46503, 46502?\n\"Answer: -s + 46506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-23))**(-38))**(-6) assuming h is positive.\nAnswer: h**5472","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 + 45 + 14 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -385 or -320?\nAnswer: -320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1459362 + -38.31241.\nAnswer: -1459400.31241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -17 + 56*m**2 - 108*m**2 - 10*m + 53*m**2. Let n be u(-5). Let g = n - -13. What are the prime factors of g?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.08 (c) -0.1204 (d) -0.76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i**23*i))\/i)**(8\/9)*i**(-2\/19)*i*i**(2\/37))**(-43) assuming i is positive.\nAnswer: i**(5787671\/6327)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 a when two letters picked without replacement from {p: 2, a: 1, r: 1, t: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 10:24 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 572 divide 846026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s. Suppose 41 = 5*d + 4*j, 3*j + 0*j = -3*d + 24. Suppose -1 = -3*u - 2*r - 13, -5*r - d = -3*u. What is g(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -303, -4, -3373, 2, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrrssrrrsrrsrr?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, s: 1, b: 5, m: 3, x: 1}. What is prob of sequence mx?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -38978, -38965, -38950, -38933, -38914, -38893?\n\"Answer: k**2 + 10*k - 38989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -5, 6, -39, -3, -2\/13 in descending order.\nAnswer: 6, 1\/6, -2\/13, -3, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 24*n. Let t(b) = 508*b**2. Calculate t(y(q)).\nAnswer: 292608*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 64 = 6*o. Let l = o - 7. Does 3 divide 2 + 3\/l*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -216 + 232. Calculate the remainder when 239 is divided by 3 + -9 + 2 + z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*y + 575 - 25 = 0 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 14\nAnswer: -11\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 2*r - 22. Let j = -4 - -4. Suppose -4*f + 22 = 5*o, -57 + 58 = -f + 2*o. Put j, f, -3, r in decreasing order.\nAnswer: r, f, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 29 = -43. Let q be ((3 - (-5 + 3)) + -4)*2. What is the smallest common multiple of k and 0\/q - (12 - 16)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -215*(24*25\/600)\/((-45)\/(-108)*6)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/42 + (-122)\/(-6). Let b be (-9410751)\/l - (-4 + 0). Let v = 748127 + b. Round v to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 (base 9) in base 13?\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y. Let q(r) = 874590*r. Calculate q(b(g)).\nAnswer: -874590*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4341*b - 6509 - 99*b - 2005*b - 147*b wrt b.\nAnswer: -6592","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4754*j**3 + 4885*j**2.\nAnswer: -28524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 3 - 9 = -2*w, 0 = 3*w + 5*p + 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2319.2 + 2319.200010479. What is g rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 920 divided by -5?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 11) to base 4\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 469759*y + 3758069. What is u(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 509296004.\nAnswer: 2, 7, 317, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1175 - 7099\/6. What is the common denominator of i and -5\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 16*l**2 - 131*l - 3. Let h be s(22). Solve 66 = h*j - 29 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -7*p**2 + 903*p + 4697. Determine v(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 708517924*x**2 + 15651384*x + 86436 = 0.\nAnswer: -147\/13309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -2, -13, -10, -18.\nAnswer: -18, -13, -10, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -379*u. Let p(z) = 218127*z. Calculate c(p(o)).\nAnswer: -82670133*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*0.72\nAnswer: -0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3911 - -3926. What is the remainder when (2 - 19)\/((-2)\/10) is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296 + 386 = 2*r. Calculate the highest common divisor of r and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n - 595*n**4 + 570*n**4 + 3 - 6*n in the form k + b*n**2 + y*n + u*n**4 + a*n**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 6*o**2 + 4*o - 2. Let x = -29 + 24. Let v be p(x). Solve 2*r - v = w, -5*w + 4*r + 33 = 6*r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -25. Let h be -2*o\/6*-12. Solve 5*c - 2*c + h = -z, 5*z - 5*c = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*v**4 + 678*v - 678*v)*(9 - 2*v - 6 + 0*v).\nAnswer: -80*v**5 + 120*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68411122 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -50386836486.65?\nAnswer: 50386836491.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 0.06, -75, -588, 5, 4 in increasing order.\nAnswer: -588, -75, 0.06, 1\/6, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 6*d**2 + 6*d + 1. Let z be m(5). Let l(y) = -y + 13. Let u be l(z). Let v = u + -3. Does 2 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 338052 and 394.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 2. Let p = r - 1. Suppose -p*w = -w - 11. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((-5*1*sqrt(288) + 6*(-1 + sqrt(98)))*-4)**2)*-6.\nAnswer: -65688 - 20736*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f + 902 - 892 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*i - 35 = -61*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-2\/17))\/z*z*z*z**(-1)*z*(z**(2\/9))**45)\/(((z\/z**(2\/3))\/((((((z\/z**(6\/5))\/z)\/z)\/z)\/z)\/z))\/(z**(5\/3)*z*z\/(z*z**(-4\/7)))) assuming z is positive.\nAnswer: z**(17533\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6585.\nAnswer: 3, 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -24*n**2 + n**3 + 58*n**2 - 1 - 10*n - 26*n**2. Let s be f(-9). Solve 5*i = 3*i - s, -i = 4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 175 + 89*p + 138*p**2 - 124 - 89*p - 184*p**2.\nAnswer: -46*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1092 + 3437 = -2*b + 1113 + 1074 for b.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7188 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 1478?\nAnswer: -1478.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2138*t - 55. Let o be m(-5). Suppose 0 = j + 2197 - 8721. Let n = o - j. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -9.88. Let w = r - -0.05. Suppose 2 + 0 = -y - q, 2*y - 11 = 3*q. Which is bigger: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 23*i + 13. Let w(h) = -2*h**2 - 22*h - 12. Let b(v) = -2*m(v) - 3*w(v). Does 7 divide b(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1158 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1237064687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47808 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**5 + 7*v**2 - 27 + 27 wrt v.\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - i**2 + 3)*(-5*i - 2*i**2 + 5*i + (i + i - 4*i)*(i + 4*i - i)).\nAnswer: 10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 + 756)*(-640)\/(-6). What is b rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1540015703\/2220414 + -1\/317202. Let v be -173*3*(-4)\/3. Let i = l + v. Calculate the common denominator of i and 23\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**2 - 2*d - 4. Let i be o(-2). Suppose 0 = i*z - 16*z. Let s be (-8)\/((-1)\/(1\/2)). Solve s*x + 16 = -z*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3306\/(-145))\/(6\/(-20)). Let l = n - 66. What is the greatest common factor of l and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 - 1144*p. Let k(m) = -26*m. Calculate k(q(s)).\nAnswer: -52*s**2 + 29744*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 - 3*j + 5. Let v(u) = -1. Let n(z) = z**2 + 7*z - 27. Let f be n(-10). What is f*v(p) + i(p)?\nAnswer: 2*p**2 - 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 11:23 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -184*h. Let b(k) = 9818*k - 3*k**2 - 9818*k + k**2. Give p(b(r)).\nAnswer: 368*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -92225 - -34425. What is x rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7917029, 7917030, 7917031?\nAnswer: 7917032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3626086 is divided by 539.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + a = -324. Let z = 58 - a. Calculate the least common multiple of 80\/5 + (-3 - -1) and z.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2780000 to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/1 - -1)*(-8)\/10. Suppose 3*i + c = -0*c + 1022, -2*c = -k. Suppose -i = -79*h + 74*h. Is 22 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 662661866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 6:59 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -73*g - 7. Let s be u(-1). Let q = 76 - s. Suppose 10*f - q = 10. Let t(p) = -p**2 - 2. What is t(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 6:41 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -677996 - -482?\nAnswer: -677514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 10875 - 10875.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) - (3 + sqrt(1300) + sqrt(1300)))*-4)**2.\nAnswer: 960*sqrt(13) + 20944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -18.5 (b) -170984 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -10)*2\/4. Sort n, -10, -5, 3 in ascending order.\nAnswer: -10, -5, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -148, -142, -126, -94, -40, 42, 158, 314?\n\"Answer: l**3 - l**2 + 2*l - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1453 - -1456. Solve -2*n + 20*s = 19*s + o, n = -s - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11537 - -11567. Solve q*v = 117 - 57 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egwedgedddgiew. What is prob of picking 1 g and 1 e?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 + q**2 - q**4 - 7*q**2 + 7*q**2 - 5*q**4 + (-2*q**2 + 3*q - 3*q)*(63*q**2 + 68*q**2 - 169*q**2) as v*q**2 + n*q**3 + k + s*q + o*q**4 and give o.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(204)\/(sqrt(12)*-2))*-2 + sqrt(34)\/(sqrt(2) + ((sqrt(16)*-3)\/sqrt(8) - sqrt(2))) + 1)**2.\nAnswer: 12*sqrt(17) + 797\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 12. Let y = 12 + k. Let x be 1\/(3 + y\/(-6)). Solve -4*f = d - 17, -x*f + 2*f + 5*d + 20 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35769774 to the power of 1\/2, to the nearest integer?\nAnswer: 5981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15790640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (2 + -1*sqrt(847))**2)*2.\nAnswer: -88*sqrt(7) + 1696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-9)*2\/(-12)*2\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 7*k**2 + 3*k - 2. Let s be j(-5). Let u = s + -15. What is the least common multiple of u and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**7\/105 - a**5\/10 + 7*a**2. Find the third derivative of v(c) wrt c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34430202 (base 5) to base 7\nAnswer: 2434405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -29\/2 (b) 5 (c) 2\/7 (d) -0.02 (e) 252\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 548867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 766 - 762. Let m(y) = 70*y + 6. Let w(g) = 73*g + 7. Let u(x) = r*m(x) - 3*w(x). Let h(n) = -n. Give u(h(o)).\nAnswer: -61*o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.399999399 + 14.4. Round s to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 15*m - 32. Suppose -3*f + 420 = 4*x, -3*x = -f - 0*f + 140. Let o = 123 - f. Let y be b(o). Solve g = -y*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 0*i - 3*g + 13, 5*i - 82 = 2*g. Let c = i - -4. Suppose -5*h = m - c, 4*h - 6 + 1 = -3*m. Solve -5*y = 20 + h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -401626*s**2 + 5*s - 372494 wrt s.\nAnswer: -803252*s + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 12*i + 9. Suppose 25 = 66*x - 69*x - d, -5*x + 4*d = 53. What is r(x)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-6\/5))**(3\/4) assuming r is positive.\nAnswer: r**(-3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -23.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -97.\nAnswer: -10\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3 + -10 - 178)*-4 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -4 - 0. Suppose 0 = 2*f - 2*m - 14, 2*m = 4*f - m - 29. Suppose -53 = -5*y - f. Solve -y = -2*q + l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46931 or 46930?\nAnswer: 46930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 10 - 30. Solve -r = 2*d - 3, -d - 6*r = -c*r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*n + 94 = 0, 2*c + 175 = 6*c + 5*n. Calculate the lowest common multiple of 5 and c.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*f = 1016, 3*g - 5*f - 145 = 1383. What is the highest common factor of 92 and g?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 1 - 7 = 5*l, -2*a = l - 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -44*b + 240. Let g be i(3). What is the greatest common divisor of g and 8964?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -506 = -47*v - 600 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*z**2 - 87*z + 39*z**2 - 62*z.\nAnswer: -z**2 - 149*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -254 divided by 2?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/11 - (-20)\/33*3. Suppose -47 + 7 = 4*g + 5*q, 0 = 2*q - 8. Let j be 16 - g\/(-10)*m. What is the highest common factor of j and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 1 + 2*v - 3*v + 4*v. Let p(u) = -u. Suppose 736*s = 3*l + 741*s + 6, 2*s - 41 = 5*l. Give l*p(y) - 2*o(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/4621 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*l - 541 = -1489 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 29 = -16. Let c be (-18)\/q*(-20)\/(-6). Suppose h = -4*o + c*h + 482, 125 = o - 3*h. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -25*c**3\/3 + 2. Let i(l) be the first derivative of 2*l**3\/3 - 14. Give i(w(j)).\nAnswer: 1250*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 257278 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 divided by 10632.\nAnswer: 79\/10632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1083, 1534, 4151, 6768, 9385?\n\"Answer: 2617*t - 3700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**3*p**(-1\/5)*p**(-7)*p\/(p\/p**(1\/6))*p assuming p is positive.\nAnswer: p**(-241\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62 + 45 + 11 + 14 + (1 - 1 - 2)*(-3 + 8 - 2) - 1 - 1 + 1)*(3*s**3 - 6*s**3 + 5*s**3).\nAnswer: 250*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 - 2*v**2 - 2*v**2 + (4*v + 0*v - 2*v)*(-v + 0 + 0) - 8*v**2 + 6*v**2 - 12*v**2 to p*v + x*v**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 451572?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1695 less than -0.4501199099?\nAnswer: 1694.5498800901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5*b + 14*b - 8*b + 5. Let d be s(0). Solve -4 - 21 = -d*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -22*d + 106. Let x be j(4). Solve 0 = -4*o + x + 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 z when four letters picked without replacement from zzddzddzddzdzdzzdzdd.\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g + 46. Let o be r(-11). What is the greatest common divisor of o and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3843\/2680 - 709\/134. Let s = b + 25\/8. Find the common denominator of s and ((-8)\/160*-55)\/((-15)\/(-12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*p - 3 = 8, 12 = -4*p. Let o be ((-1)\/z)\/(-15 - 165\/(-10)). Which is smaller: o or -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 139 = 131. Suppose 0 = -v - 2*u - 2, u - o + 9 = 0. Calculate the remainder when 365 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 3, 2, 289, 3598?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(2*p**3 + 6550*p**2 - 6550*p**2 - 4*p).\nAnswer: -2*p**3 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 s, and 1 r when four letters picked without replacement from {r: 2, s: 4, g: 1}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13641, -27279, -40917, -54555?\nAnswer: -68193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 14387*v - 1273. Is d(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 140*27*29\/7830?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 16 = g, 591*u + 2*g - 26 = 586*u. Solve -4*n = 3*h - 5, 19 = 5*n - u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 9*j**2 + 7*j + 17. Let b be a(-2). Do 40 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4954888 and 680?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h + 8*h + 10*h - 31*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 532595 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/248 at most as big as -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/16 and 196\/184*(-1 + 20\/14).\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109512 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -4*c - 9 + 79, -37*h + 39*h - 24 = -c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1316773 is divided by 181?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -780 + 1325. Let i = 549 - w. Which is the closest to -36? (a) 0.1 (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x. Let a(t) = 2*t - 3. Let k(f) = 6*f - 8. Let g(v) = 8*a(v) - 3*k(v). Calculate u(g(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 - -59.4. Which is the biggest value? (a) -4 (b) -4\/9 (c) t (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.085 - -0.062. Let y = 3.977 - w. Which is smaller: y or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1279068647582 + 0.06.\nAnswer: 1279068647582.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 17261a6?\nAnswer: 17261a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -86 in 0.5, -0.13, -0.4, 0.08?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, k: 1, d: 2}. Give prob of picking 1 k and 1 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 y when three letters picked without replacement from sssysysssss.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 - 1. Let l be b(2). Suppose -6*v - l = -2*v + 3*p, -4*p - 28 = -4*v. Does 10 divide ((-22)\/v)\/((-3)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - b**2 - 1. Let q(x) = 8*x**3 - 6*x**2 + x - 6. What is q(a) - 6*u(a)?\nAnswer: 2*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 632847746 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42018, 84169, 126320, 168471, 210622?\nAnswer: 252773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, -2, 23, 4, -5 in descending order.\nAnswer: 60, 23, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 d when three letters picked without replacement from {t: 5, d: 3, j: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.06 and -5596?\nAnswer: 5595.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 16330*o**4\/13 - 83208*o**3\/13 + 105782*o**2\/13 - 9408*o\/13 + 72\/13 = 0. What is o?\nAnswer: 3\/355, 2\/23, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 518*q**3\/3 + 7*q**2\/2 + 45*q + 122. Find the second derivative of d(o) wrt o.\nAnswer: 1036","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328*n**2 + 163*n**2 - 5*n**3 + 165*n**2.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 11:34 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4072906, -4072903, -4072900, -4072897, -4072894, -4072891?\n\"Answer: 3*m - 4072909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**6\/90 - 7*a**5\/30 - 13*a**4\/12 + 58*a**3\/9 - 32*a**2\/3 + 2*a - 5463. Factor o(h).\nAnswer: (h - 16)*(h - 1)**2*(h + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.17 - -0.83. Let c = -1 + 4. Let t = -2 - 1. Sort p, t, c.\nAnswer: t, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 233?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35201740 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1881 (base 10) in base 3?\nAnswer: 2120200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (8\/(-3) - 1). Which is the closest to 0? (a) -0.2 (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28110120 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000053505 to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 8:52 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2 = p, -5*g = -p - 7. Let i(u) = 3*u**2 + u - 1. Let z be i(g). Let t(c) = -c + c**2 - z*c + 5*c - 4*c. Give t(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -11) + (6 - 8). Let l = b - 4. What is the third biggest value in -1, -0.4, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2. Let g(a) be the second derivative of a**7\/1260 - 11*a**4\/6 - 32*a. Let s(u) be the third derivative of g(u). Give s(l(b)).\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -8*f - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 278435 and 5974120.\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 + 63. Solve -33*p = -38*p + j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*a + 20*a - 64*a + 15*a + 14*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1084608 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5 = 4*w - 21, 0 = 3*a - 3*w + 30. Let p be 3 + 0\/(-2 + 6). Let f be -2*-4*p\/a. Which is bigger: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.605563 micrometers in kilometers?\nAnswer: 0.000000000605563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 9:55 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -47, 1, -2 in decreasing order.\nAnswer: 1, -1, -2, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5 + d**4 - 5*d**3 - d**2 + 8*d - 4.\nAnswer: (d - 1)**3*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -18640000 to the nearest 100000.\nAnswer: -18600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1021, 2053, 3085, 4117, 5149?\nAnswer: 6181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 50 = -4*m. Let w be (m\/(-10))\/((-2)\/(-4)). Solve -k = w*r + 17, 0 = 2*k - r + 1 - 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(128)*-1)**2 + 2*-1*sqrt(128))*1*-3.\nAnswer: -13824 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j. Let m be p(3). Which is smaller: m or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -8*f - 57. Let o be g(-7). Let h(b) = -19442*b**3 - 1. Is h(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -729*r**6\/10 + 254*r**5\/5 + r**3\/3 + 68*r**2 - 8*r - 2. Find the third derivative of z(l) wrt l.\nAnswer: -52488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2107893799 rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0192 + 380.0192. Let o = 380.1 - z. Let d be (-1)\/(-2)*1\/(-3). What is the smallest value in o, d, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.6349647 - -2.86496488. Let x = 21.23 - 21. Let s = f - x. Round s to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/8 - 35737*x**2 + 2858885*x\/8 - 3573575\/4.\nAnswer: (x - 285886)*(x - 5)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7378 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/((-5 - 0) + 6). Is 16 a factor of 1426\/2 + (12 - r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 10 = 6. Suppose y + 1 = -2*w, -w + 5*y = -0*w - z. Suppose 0 = -2*m + 43 - w. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19584 and 29250?\nAnswer: 31824000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 2\/17, 0.5, 139, 5?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, o: 1, m: 1, y: 4, n: 2}. Give prob of sequence ny.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**3\/6 - 3*k**2\/2 - 16*k. Give g(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 125, 545, 1253, 2249?\n\"Answer: 144*z**2 - 12*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 240124\nAnswer: -2641364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011110111 - -11?\nAnswer: -110011110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1135 - 441. Suppose 0 = 17*s + f - 3193. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 11:31 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14960542 is divided by 554092?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 10*r**2 + 25*r - 15. Let k be a(11). Suppose 2*j - k - 179 = 0. Is 32 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.807563 litres?\nAnswer: 3807.563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 7:02 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + -154\/3. Factor 0*u - 4\/3*u**2 + 0 - f*u**3.\nAnswer: -2*u**2*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -23*o**3\/3 - 7*o**2\/2 - 6*o. Is w(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2. Let a(k) = -49*k**2 + 14*k. Let i(d) = -10*d**2 + 3*d. Let j(g) = 3*a(g) - 14*i(g). Give j(v(l)).\nAnswer: -7*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 6903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-17)\/136)\/(13\/78))\/((-225)\/(-40)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**2\/7 - 374*d\/7 + 372\/7 = 0.\nAnswer: 1, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = -773 - 767. Suppose c*y = 164*y. Solve y = 20*s - 23*s - 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -37052 + -159?\nAnswer: -371ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5478739 divided by -5478739\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-350 - 266 - 75)*(-11*l**3 + l**3 - 2*l**3).\nAnswer: 8292*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + 1)*-4 - -2*(sqrt(171) + -2 - sqrt(171)))**2 + -1.\nAnswer: 192*sqrt(19) + 2799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1552*w + 1545*w - 3090*w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 350 divided by -3.\nAnswer: -350\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -582, -802, -650, -120, 794, 2098, 3798, 5900?\nAnswer: 8410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.3, 2, -8964649?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 minutes after 7:30 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: ((-662)\/993)\/((-2)\/(-24))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4214322 (base 9) to base 3\nAnswer: 11020111100202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -39. Put -0.1, -6, u in increasing order.\nAnswer: -6, u, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(972) + sqrt(972) + 1*sqrt(972) + sqrt(972) + sqrt(12)).\nAnswer: sqrt(3)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -1\/28*n**4 + 2\/7*n**2 - 173 - 1\/35*n**5 + 2\/7*n**3 - 8\/7*n. Factor a(g).\nAnswer: -(g - 2)*(g - 1)*(g + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 5:55 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28432 + -28427.1. What is the nearest to -2\/3 in -0.2, r, 4, -2\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 + 186 = 4*p. Calculate the greatest common factor of 42 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 657347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 7*q**2 + 6*q + 3. Let s be d(6). Differentiate -3 - s*w + 6*w - w - 3*w with respect to w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - m**2 + 2*m + 4. Let p(f) = -f**2 - 5*f. Let w be p(-6). Let b be q(w). Suppose -73 = -7*i + b. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/19 (b) -0.2 (c) 7 (d) 0.5 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 - -42. Factor 6*l - 265*l**t + 286*l**4 - 10*l**2 - 11*l**2 - 6*l**3.\nAnswer: 3*l*(l - 1)*(l + 1)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95080913?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.351, 5\/2, 47, -7.03?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 691, 689, 687, 685, 683, 681?\nAnswer: 679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0 = 6. What is the remainder when 5 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - l - 1. Let w(r) be the second derivative of -r**5\/20 + 7*r**4\/12 + r**3 + 13*r**2\/2 + 4*r. Let m(x) = w(x) + 6*y(x). What is m(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 35. Let y(t) = t**2 + 300234*t. Give y(q(n)).\nAnswer: n**4 + 300164*n**2 - 10506965","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 216 = 8*z. Suppose z = 5*r + 8. What is the greatest common divisor of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 5*x**2 - 2. Let w be c(5). Calculate the common denominator of 2\/(-12)*116\/(-6) and (35\/(-27) - w)*-12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 5 + (1 + 1 - 1)*(-2 - 1 + 2))*(5*p**3 + 2 - 2).\nAnswer: -15*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 12:41 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 7:28 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o. Let r(m) = m**2 - 14*m + 4. Let z be r(14). Suppose o*n = z*n - 300. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 - -51.31. Round a to one decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 4*y + y)*(-1369*y - 747*y - 161*y + 486*y).\nAnswer: -1791*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**6\/36 - l**5\/30 + l**4\/12 + l**3\/9 - l**2\/12 - l\/6 + 8. Suppose m(d) = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 300*z**3 - 4*z**2 - 18*z + 2. Let q(t) = 289*t**3 - 3*t**2 - 15*t + 1. Give 4*q(s) - 3*u(s).\nAnswer: 256*s**3 - 6*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/31 - -33\/62. Factor -y + 1\/2*y**2 - b + y**3.\nAnswer: (y - 1)*(y + 1)*(2*y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107 + -102. Suppose 5*a - 4*r = -735, 3*r = -o*a - 2*r - 780. Let p = 6290 + a. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6682.379 nanometers in meters?\nAnswer: 0.000006682379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n**2 - 214*n - 837. What is v(-4)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/260*91\/4424*-4.\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*u - 1133916 - 8460831. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 - 26*g**2 - g + 13. Let w be z(13). Solve -2 = -n - w, -3*n = -h - 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 31061*m - 89. Let p(z) = -706*z + 2. What is -2*g(w) - 89*p(w)?\nAnswer: 712*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4 + (-1*(sqrt(243) - sqrt(243)*1) + -5 - (2*2*sqrt(243) - (sqrt(243)*1 + -3)))*-4))**2.\nAnswer: 6048*sqrt(3) + 35776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**3\/3 + w**2 - 16*w. Let j(p) = -p**2 - 9*p + 4. Let m be j(-9). Suppose 2*i = 3*i - m. What is b(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54737750 to the nearest one million.\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3640 = -20*b + 3300 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(4\/19)*j**(-28) assuming j is positive.\nAnswer: j**(-528\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2480?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 6*(-4)\/(-12). Let p(i) = i**3 - 5*i**2 + 7*i - 1. List the prime factors of p(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 231*k - 225*k - 15408. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5252042, 21008168, 47268378, 84032672, 131301050?\n\"Answer: 5252042*o**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(65) + sqrt(65))*-3*3)\/((sqrt(80)*1 - sqrt(5))*-5))**2 + -1.\nAnswer: 92\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2 + sqrt(117)*2 + 0)*3.\nAnswer: 5 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*k + 12. What is the units digit of (-72)\/k + (5 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*b**3*c**3*m - 23492*b**3*c*m - b**3*c + 4*b**2*c**3*m + b**2*c**3 + 2*b*c**3*m + 3*b*c**2*m + 66*b*c*m + 6*c wrt b.\nAnswer: -36*c**3*m - 140952*c*m - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**5\/5 + 244*j**4\/5 + 1968*j**3 + 127756*j**2\/5 - 137842*j\/5 = 0. What is j?\nAnswer: -41, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.27 - 12.73. Let s = 2 + j. Let p = s + 15. Which is the nearest to 2\/5? (a) 0.1 (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 141 = 4. What is the highest common factor of m and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4475\/350 - 16)*((-48)\/15 + 3)?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + 0. Let c = j - 19. Suppose -c*o + 32 = -o. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-4) - 5\/(-4). Suppose 5 = h*t - 13. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14623 is divided by 14611?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 12 - (-1 - (-9 - (-5 + 4))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g**2 + 84*g + 535. Is 18 a factor of q(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - d + 4*d + 0*d - 3*d + (-2*d + 4*d - d)*(-3 + 4 - 2) - 2*d - 2*d + 3*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, d: 4, m: 8}. What is prob of picking 3 m?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 6*r. Let z(l) = l - 3. Calculate z(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11689 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 5*a**2 - 12*a - 5. Let c(m) = m**3 - 6*m**2 - 13*m - 6. Let o(p) = 2*c(p) - 3*w(p). What is the tens digit of o(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.7927 - -17.8. What is q rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1))**(-23))**(-27)\/(k*k*((k*k\/k**0)\/k)\/k*k\/(((k\/(k*k*k\/(k*k**5\/k*k*k)))\/k)\/k*k)*k)**(-2\/13) assuming k is positive.\nAnswer: k**(-621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8305 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.09 - -0.41. Which is the closest to 5? (a) -2 (b) k (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 9*w + 7. Let t be (84\/20 + -3)*(4 - -1). Calculate z(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 4*x = -4*l - 7, -2*l + 2*x = 14 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 303 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 13*j - 16. Determine r(5).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 6*o**3 - 6*o**2 - 6*o + 13. Is d(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -27*o**2 + 1052*o + 2113. Give j(-2).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7\/6 (b) -5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -305 - -1072. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**5\/30 - 2*d**2. Let g(q) = 103*q**2 - 603*q**2 + 180*q**2 + 99*q**2 + 77*q**2. Determine g(r(k)).\nAnswer: -576*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*x**3 - 10*x**3 + 21*x**3 - 4*x**2 + 4*x**2 - x**3 + 0*x**3 - x**3 + 0*x**3 - x - 2*x**3 + x + 4 - 4 - x**3 + (3*x - 2*x + x)*(-x**2 + 4*x - 4*x).\nAnswer: 13*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*y**4 - 24*y - y**4 - 10 + 24*y wrt y.\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*k**4 + 116*k**3 - 676*k**2 - 176*k = 0. What is k?\nAnswer: -11, -1\/4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -213928, -213934, -213944, -213958?\n\"Answer: -2*a**2 - 213926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + y**2 - 4. Let j = 2324 - 2324. Give i(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, l: 5}. What is prob of sequence liil?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14154 - 1410?\nAnswer: -20004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143495, 286992, 430489, 573986, 717483, 860980?\nAnswer: 1004477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**2. Let l(a) = -189928*a**2. What is l(d(i))?\nAnswer: -3038848*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 5*c**2 + 5*c - 6. Let j be b(-6). Let r be 0 - ((-9)\/(-12))\/3. What is the nearest to j in -1, r, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 85 = 3*s. Calculate the remainder when s is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-4))\/((-3)\/(-6)). Suppose -4 = -2*g - 2*y, -3 - a = -g + y. Suppose 748 = 7*d - g*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*c**3\/2 - 10271*c**2\/2 - 3998*c + 1142.\nAnswer: (c - 1142)*(c + 1)*(9*c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, g: 1, e: 2, b: 4, q: 6}. What is prob of sequence beqb?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 8 = -a, 0 = 3*v + 2*a - 3*a - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5\/4 - f**4\/4 - 27*f**3\/4 - 27*f**2\/4 + 27*f\/2.\nAnswer: f*(f - 6)*(f - 1)*(f + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 + 14 = -6*z. What is the remainder when 77 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10526012 a multiple of 1484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p + 12 + 9. Let n(x) = 3*x**3 + 2*x**2 - 3*x + 2. Let v be n(3). Is 20 a factor of (v\/8)\/(p\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 5*w + 607 - 589 = 0, 0 = b - 3*w + 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 2*u = 18. Let w(r) = -2*r + 7. What are the prime factors of w(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 11*q**2 + 24*q + 412. Is 12 a factor of c(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*u + 3355 = 0, 5*r - 6*u - 4190 = -u. Let q = r - 605. What is the remainder when q is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 23 (b) 4\/5 (c) -2 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 9. Let m be l(11). Let j be (-3)\/9 - m\/(-6). Suppose -9*c + 4*c + 30 = j. What is the greatest common factor of c and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124716 divided by 76?\nAnswer: -1641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (7 + 10 + -31)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/((-2160)\/(-64)) + 3 + -1 + -3.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246 + 271 = -5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -s - c + 16, s + 5 = 4*c. Let h be (-1367)\/(-3) + (-2)\/3. Suppose 2*i + h = s*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 272\/351 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10717, -21432, -32147, -42862, -53577, -64292?\n\"Answer: -10715*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70107898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-2)\/(-30) - (-4 + -3)\/315?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 8*p + d + 14, -5*d = -p - 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10917 divided by -2\nAnswer: -10917\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 2*p**2 - 2*p - 1. Let l be w(-2). Let a(t) = 6*t - 2. Let v(f) = 11*f - 4. Determine l*v(z) - 5*a(z).\nAnswer: 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308*y - 297*y - 198 = 0. Suppose 5*m = -3*j + 37 + 104, 2*m = 5*j + 44. Calculate the remainder when m is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.478877359 - -4454?\nAnswer: 4453.521122641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*v = 26, 0*w - 37 = -5*w - v. Find the first derivative of -1 + w - 15*k**2 + 5 wrt k.\nAnswer: -30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -413 + 401. What is the hundreds digit of (-3052)\/(-6) + (-28)\/y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 264360915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88 - 217*i - i**3 - 150*i + i**4 + 366*i + 2*i**2 to the form h*i**2 + s*i**3 + b*i**4 + j*i + o and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - (202 - (-3 + 2)). Let p = h + 356. What are the prime factors of p?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 - (0 - -1) - (-106 + -152 + 261)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*i - i**3 + 17*i - 6 + i + 10 - 6 - 13*i**4 - 2*i**2 as j*i**4 + q*i**2 + s*i + u + r*i**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/((sqrt(6) + sqrt(294))\/sqrt(3)) + (sqrt(95)\/sqrt(5)*5 + sqrt(19))**2 + 3)*4.\nAnswer: sqrt(19)\/2 + 2748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89134 is divided by 17651.\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71604*b**3*t**3 + 16*b**3 - 1057*b*t**2 wrt t.\nAnswer: 429624*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1828465?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 910 and 27640?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*y - 50 = 0, 0*y - 4*y + 36 = 2*s. Let i be 12\/(-8) + s\/(-4)*-1. Factor -2*h**3 + 4*h**3 + 9*h**2 + 0*h**3 - 7*h**i.\nAnswer: 2*h**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1 - 3 = 0. Suppose k + 1 = b. Calculate the remainder when (-2)\/15 - 682\/(-165) is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 196*o - 2563. What is the tens digit of t(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 25 = -2*a, -4*a = -6*r + 8*r - 10. Solve -r*p + k = 26, 0 - 1 = -k for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**6\/30 - 7*m**2\/2 + 17*m. Find the first derivative of o(k) wrt k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from ttttttvti.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212001111122 + 1020?\nAnswer: -1212001110102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1414823383, -1414823384, -1414823385, -1414823386, -1414823387, -1414823388?\n\"Answer: -j - 1414823382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**4 - 7*s - 2*s**2 + 2*s**3 + 14*s + 4*s**2 - 11*s to h*s**3 + k*s**2 + z*s + g*s**4 + a and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4 = -2*y, -22 + 8 = -4*y + 5*a. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zgygegyfgf. Give prob of picking 1 e, 2 y, and 1 z.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4472325 to the power of 1\/2, to the nearest integer?\nAnswer: 2115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2.59992 centuries?\nAnswer: 3119.904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 + 8*q + 3. Let b be v(-5). Suppose -1157 = 37*j - b*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 - 1436*w**2 + 11100*w + 46332.\nAnswer: 4*(w - 351)*(w - 11)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 - q**4 + q**3 + (4*q**2 + q**2 - 4*q**2)*(-11*q**2 - q**2 + q**2) - q**4 + 6*q**4 + 0*q**4.\nAnswer: -7*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5382 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/260 and -149\/3797670.\nAnswer: 98739420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 811426015 and 4.72.\nAnswer: 811426019.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and 0.4427.\nAnswer: 0.022135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*u - 2238 = 2*c, -5*c = 25. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13683.48 and 2?\nAnswer: 13681.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b - 1607 + 1600 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**4\/24 - 16*g**2. Let h(w) = 20*w. What is s(h(l))?\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(18)\/(sqrt(81)\/(sqrt(36)\/sqrt(4))).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-206 + 218 - (23 + 0))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33231)\/570)\/(-53)*(-944)\/(-88).\nAnswer: 59\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o**4\/4 - 7*o**3\/3 + 7*o**2\/2 - 8*o - 1. Let s be q(6). Let c be s - 3*8\/(-6). Solve 8 = c*u + 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 110 = -17*m. Suppose 4*a - m*f - 2887 = 0, 5*a - 5*f - 1143 = 2467. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -0.4. Let a = 1.6 + 0.4. Is i less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -102 or -19?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, -5, 2, 17 in ascending order.\nAnswer: -8, -5, 1, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 x when three letters picked without replacement from xxpxpxtmepxxp.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540)\/(sqrt(1452)*2 + sqrt(12)))\/(5*(sqrt(225) + -2*sqrt(225))) + 0)*3.\nAnswer: -3*sqrt(5)\/575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8658, 17265, 25756, 34071, 42150?\nAnswer: 49933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2 + (sqrt(500)*-1 + 1 - (sqrt(500) - (0 + sqrt(500)*1))))*-2 + 0)**2.\nAnswer: -40*sqrt(5) + 2001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 52979, -2, 1\/5, -2.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -1 - 4. Let k = 5 + -5. Suppose -p*l + 5*b = -k*b + 185025, -b - 110995 = 3*l. Round l to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 475609 and 400061?\nAnswer: 1717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -21\/8 (b) -28.6 (c) 124\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-1 - 3) + 1 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*p + 113*p + 13552 = 3664 for p.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2871 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*i - 51779 = -86*i. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1124 + -50.4149.\nAnswer: -1174.4149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 437, 387, 297, 161, -27, -273?\n\"Answer: -q**3 - 14*q**2 - q + 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12688443497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**3 + q - 2. Let r be g(4). Let n = -90 - r. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1544 + 21?\nAnswer: -1523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -657\/4 at most -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -37, -101, -211, -367, -569, -817?\n\"Answer: -23*k**2 + 5*k - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3 + 4*j + 4*j**2 + 7 + 9 - 17. Let x(f) = 3*f**2 + 3*f + 2. Give 5*c(n) - 6*x(n).\nAnswer: 2*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -88 (base 11) to base 7\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 38*y**2. Let s(k) = 3*k**2. Calculate f(s(n)).\nAnswer: 342*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3\/4, -0.8 in descending order.\nAnswer: 5, -3\/4, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-5)*1*-2. Let k = -88757 - -443764\/5. Which is the smallest value? (a) k (b) q (c) 4 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -5, -2\/13, 1934\/3, -1\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0017426 less than 137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 52164 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8.44648mm?\nAnswer: 0.844648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 273260 to the power of 1\/2, to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u + 14. Let r be y(11). Let m(z) be the second derivative of 3*z + 0 + z**2 - 1\/6*z**4 + 0*z**r. Solve m(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 3:03 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32871 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/158 - -625\/1106. What is the biggest value in y, 0.5, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -10, 22, 54?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.076, -0.3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g**(-12)*g*g)\/g)*g**19)\/(g\/(g\/g**(-9))*g**(1\/18)))**(11\/2) assuming g is positive.\nAnswer: g**(7909\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 140 = 148. Suppose d = -15*f + 3*f. Sort f, -5, 3, -2 in ascending order.\nAnswer: -5, f, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8865 - -8860 - (-2 + -74 - (-3 + 1)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -14\/5*n**5 + 12*n**3 - 8*n**2 + 0 + 2*n**4 - 16\/5*n = 0.\nAnswer: -2, -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p. Let b be -3 - (2 - -1)\/(-1). Suppose -6 + b = 2*i. What is the units digit of q(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1696772?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -23\/6. Let m(h) be the third derivative of -3*h**2 + 0*h + w*h**3 - 1\/12*h**4 + 0. Differentiate m(a) with respect to a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*(z\/z**(-1))\/z)**(-3\/20)\/((z\/z**(-1))\/(z\/z**(-2))))\/((z**(-7\/4)\/z)\/z**4*(z\/z**1)**(4\/7)) assuming z is positive.\nAnswer: z**(73\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -135*a**3*s**3 + 12*a**3*s - a**3 + 716*a**2*s**3 - 40*a**2*s - a - 9*s wrt s.\nAnswer: -810*a**3*s + 4296*a**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 25379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29286 divided by 2.\nAnswer: -14643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 + 7. Let i(m) = m**2 + 3. Let k(p) = 7*i(p) - 3*v(p). Let t(o) be the second derivative of 67*o**4\/6 + o**2\/2 - 477*o. What is t(k(n))?\nAnswer: 134*n**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.8182 * -5.\nAnswer: -94.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-210)\/25)\/(5\/((-50)\/32)). Let s = 2 + -2. Factor -b*h**2 - 3\/4*h + s - 15\/8*h**3.\nAnswer: -3*h*(h + 1)*(5*h + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67099 = 17*o - 0*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -263400000 rounded to the nearest one million?\nAnswer: -263000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21440, -21378, -21324, -21284, -21264, -21270?\nAnswer: -21308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1054, 2274, 3484, 4678, 5850, 6994, 8104, 9174?\n\"Answer: -j**3 + j**2 + 1224*j - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10985418?\nAnswer: 2, 3, 610301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 4 + 2)*(-4*d + d**2 + 4*d) + 0*d**2 + 0*d**2 + 2*d**2)*(36 - 45*d**2 - 36) - d**4 + d**3 - d**3.\nAnswer: -46*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x. Let a(y) = -9*y + 0*y - 8*y - 21*y. Give o(a(j)).\nAnswer: 38*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -158 or 0.2?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express h + 835*h**2 + h**4 + 2*h**3 - 835*h**2 + 6 in the form l*h + i*h**4 + b*h**2 + p*h**3 + f and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*g - 6. Let t = -58897.5 + 58897. What is the nearest to 7\/2 in 4, g, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5416943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.3, 1.05, -34 in descending order.\nAnswer: 1.05, -0.3, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1019 = -5*d + 15574. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 2*o - 465 - 280*o**2 + 280*o**2 - 4*o**3.\nAnswer: -4*o**3 - o - 465","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*k + 6*k + 2*k)*(2 - 3 - 1 + (-1 - 5 + 4)*(1 + 2 - 2) - 2 + 22 - 13) to g*k + w and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z + 4*z. Suppose 2 = 5*v - 2*r + 12, z = 5*r. Let s be 8\/(-6)*3*-1. Put v, 0, s in increasing order.\nAnswer: v, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 5. Let t(k) = 17*k + 1. Let p be t(c). Solve -2 = 5*s + p for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 104462.5 to the nearest 100.\nAnswer: 104500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 20*s + 3. Let t(f) = -20*f - 3. Let i(l) = -4*n(l) - 5*t(l). Is i(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzzjjjzjjjjjjjj. Give prob of picking 2 z and 2 j.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 50*p + 54. Let i be k(52). Let v be (60\/i)\/((-6)\/(-20)). Which is the third smallest value? (a) -0.1 (b) 5 (c) v (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -100*l**2 - 2305*l + 9. What is z(-23)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.042, 9, -3, -16\/3, 0.5 in decreasing order.\nAnswer: 9, 0.5, 0.042, -3, -16\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.062? (a) -1\/2 (b) 3\/4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.0541 and 273.\nAnswer: -560.7693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(1958*t + 414878 - 414878).\nAnswer: 1958*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 0.2 (c) 58\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -1. Let u = 73\/237 + 2\/79. Which is the closest to 3? (a) u (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -2. Let q = -72491 - -72491.1. Which is the second smallest value? (a) -2\/17 (b) q (c) l (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**5\/60 - 5*s**4\/24 + 2*s**2. Let t be m(-5). Solve -d - 5 = -t, d + 21 = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*i + 1477 = 1054 + 1073 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a. Let w(m) = 18 + m - 18. Give j(w(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**3 - 4*i**2 + 5*i - 1. Suppose 4 = -4*q - 4. Let m be ((-25)\/(-10))\/(q\/4). Does 31 divide u(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4234989 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -126 (base 16) to base 9\nAnswer: -356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/15 (b) 4 (c) -12 (d) -2 (e) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -12*o**3 - 11*o**2 + 7*o - 7. Let x(n) = -3*n**3 - 3*n**2 + 2*n - 2. Determine 6*l(a) - 22*x(a).\nAnswer: -6*a**3 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -7 + 6 + -5 - 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 11:15 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 414201 (base 6) to base 12\nAnswer: 17361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -13. Suppose z = a + 3. Let t = a - -5. Solve t*k + 12 = 4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 1600422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 50*m**3 - 4*m**2 - 2*m - 2. Let b be u(-3). Let p = -309 - b. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 9*o + 7. Let n be w(8). Let z be (-11)\/((-6)\/720*4). What is the highest common divisor of z and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2419 = -3*m, 3030 = 5*b - 0*m + 5*m. Let c = b - 481. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1294068 to the nearest integer?\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 241928743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 9:19 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2, 0.12, -262?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + x - 33 = -6*v, -20 = -5*v + 3*x. Suppose 2*a + 1 = -v. Let w be a\/(-6) + (-7)\/(-3). Solve -4 + 19 = -w*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 283 + -276. What is the tens digit of (3 + l)\/1*500\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/113353 and 43\/414191?\nAnswer: 108932233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 26910263 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(13\/4)\/s)\/s)\/((((s\/(s*s**25\/s*s))\/s)\/s)\/s) assuming s is positive.\nAnswer: s**(117\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*x = 15, -2*x = -6 - 0. Let v be u + (0 - 0) + 2. Suppose v*b + 3 = 29. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 66*j**3 - 67*j**3 - 4 + 5*j in the form c + y*j + h*j**2 + s*j**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 899 - 903. Suppose -x - 10 = -3*x, -28 = -j - 5*x. What is the smallest value in -5, j, -0.36, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 2*j - 35 - 467, 0 = -2*s + j + 334. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13545462 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h. Suppose 3*u - 28 = -2*i, 0 = 6*u - u - 4*i - 10. Let v(k) = -4*k**2 + 5*k**2 + 14*k**2 + u*k**2. Calculate y(v(m)).\nAnswer: -42*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 428193*a - 428229. What is r(1)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 77112 (base 10) to base 2\nAnswer: 10010110100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 + 5)*(5*o**2 - 2*o**2 - 2*o**2) as x*o + i*o**2 + j and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0*c = -100. Suppose 0*t = 5*t - c. Suppose 46 = 6*s - t*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7, -11, -13, -13?\n\"Answer: b**2 - 7*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 p when three letters picked without replacement from phvfhffpoofhozfzohf.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + -18 + 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 319 - (3 - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 523356189 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: Solve 30*t - 61 = 29*t - 20 for t.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004551937 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 11. Let q = v + 11. Is 9 a factor of (-1)\/2 - (-74)\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/39 and -65\/4890924.\nAnswer: 63582012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*p = -18, -5*w + p - 4*p = -22. Solve 2 = -w*u + 3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7005134.6 rounded to the nearest 1000?\nAnswer: 7005000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 9*i**2 + 26*i + 178. Let t be x(-8). Solve t*b - 23*b - 55 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/17, 0.3, 749\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-5\/8)*((s\/((s\/s**(3\/16))\/s))\/s)\/s)**(-2\/165)\/((s**0*s**3)\/(s**2*s**6\/s)) assuming s is positive.\nAnswer: s**(5287\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 10192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**4 - 366*n**3 + 3577*n**2\/2 - 1515*n + 356 = 0. Calculate n.\nAnswer: 1\/2, 4, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1 + sqrt(288)*4)*3*6 + -4)**2.\nAnswer: 22464*sqrt(2) + 1493161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.45 - -9524573.8.\nAnswer: 9524566.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + (-4)\/(-8))\/7*-502. Let p = 36 - n. Let q = -1 - -0.8. Do q and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -6*f**2 + 4*f - 4. Let x be t(3). Let m = 66 + x. Solve 3*u + 4*c = u + m, 9 = 3*c for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -36822, -147104, -330920, -588270?\n\"Answer: -36767*p**2 + 19*p - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*q = -12886, 2*k - 4155 - 1005 = 3*q. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 0 + 0)*(-4*p + 4*p + p**3) + 91*p**5 - 85*p**5 + 36*p**5 + (-p**5 - 4*p**5 + 3*p**5)*(-3 + 1 + 0).\nAnswer: 44*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 - 4 + 4 + (2*b**2 + 6*b**2 - b**2)*(b**2 + b**2 - 3*b**2).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 949\/26*(-1)\/((3*(-2)\/12)\/(-1)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -1, -5, -833 in descending order.\nAnswer: 1, -1, -3, -5, -833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n = -27*n. Suppose n = 3*b - 3, -3*s - 3*b - 18 + 72 = 0. Calculate the remainder when s is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q + 6. Let s(v) = 2*v - 3. Give 2*o(x) + 5*s(x).\nAnswer: 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*c + 9, 20*d - 1 = 15*d + 3*c. Solve -d*a - 25 = 3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1\/2 (b) 0.4 (c) 2125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/56 and 85\/31415736.\nAnswer: 219910152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4885 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 2*c + 4. Let o be f(-3). Let h = 1802 + 282. Is 29 a factor of o\/6 + h\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 3, -1, -37?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8a (base 12) to base 15\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -5, 5\/27, -34, -2?\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4 = -t, 3 = -3*t - 4*a + 1. Does 10 divide 4\/(-5)*(-75)\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5643641?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 38802794 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 213 and 3976?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 23, -61, 0.1, -13, 90?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 55 + 13 = 0. Let q be (p\/21)\/((-6)\/(-27)). Let a be 468\/30 + q\/5. Solve -4*h + h = -a, 4*v + 5*h - 45 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 1:39 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 5:58 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m + 3*h - 6, 1 = -m + h. Put -3, 4, m in descending order.\nAnswer: 4, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 437 - 1358238154.5.\nAnswer: -1358237717.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 65*k - 508. Let m be z(8). Suppose 2*h - 2*i = 2, -2*i + 1 = -i. Let a(p) = -m + 5 + 5 - h*p + p. Let v(w) = 4*w + 7. What is 22*a(n) + 6*v(n)?\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-11)\/(-3) - -1)\/((-6)\/45). Let q = 47 + b. Suppose -8*d = -q*d. Solve d = -j + 4*j + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 299 = 79. Calculate the remainder when 75 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -13 + (46 - 55).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3253139 to the nearest integer?\nAnswer: 1804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millimeter in micrometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8\/9 - 5\/9. Which is bigger: 28 or u?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -4. Let t(d) = -d**2 + 6*d - 4. Let h be t(s). Suppose 0 = x + 3*x. Solve h = -i - x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10652691 divided by -507271?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4533, -608, -9173, -21156, -36551, -55352, -77553, -103148?\n\"Answer: n**3 - 1718*n**2 + 6*n + 6244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 l when three letters picked without replacement from ialllivllipi.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -17, -7\/46, -4035?\nAnswer: -4035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2\/9*h**2 - 88\/9*h - 70 = 0.\nAnswer: -35, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67 - -46. Let z(t) = -t - 56. Let g be z(k). Let c = 43 + g. Solve -2*s = c - 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17941*z + 17941*z + 112222*z**2.\nAnswer: 112222*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -669536 divided by 6832.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 + -132?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -450 (base 6) to base 8\nAnswer: -256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 613153, 613170, 613201, 613252, 613329, 613438, 613585?\n\"Answer: l**3 + l**2 + 7*l + 613144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 220 = -70. Let h = d + 151\/5. Factor -1\/5*j**4 + 0*j**3 + 0*j + 0 + h*j**2.\nAnswer: -j**2*(j - 1)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48204 plus -3044231?\nAnswer: -2996027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*g - 2 + 2 + 1 + 0.\nAnswer: -14*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2 - 4. Suppose s - 3 = i. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(((sqrt(1053) + -1*sqrt(1053))*-1 + sqrt(1053) - sqrt(1053) - (sqrt(13) - (sqrt(52) + sqrt(832))\/sqrt(4) - sqrt(208)*3)) + -5))**2.\nAnswer: -1440*sqrt(13) + 30177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.2 and -69.\nAnswer: 82.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10d2409 - -7?\nAnswer: 10d2410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.082 + 0.898. Let r = 0.02 + m. Do 4\/5 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 23*y**2 + 108*y + 27. Let h be a(-27). Solve 58*v - 67*v + h = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 2*m**2 + 7*m - 13. Give z(3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.5 * -995.4.\nAnswer: -3483.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*b + 9. Let w(y) = -6*y + 1. Determine w(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185056\/39 less than or equal to 4746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbkbbkbbkbkk. Give prob of sequence bk.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6*v**2 + 2*v + 1. Let j be d(-2). Suppose -m - 2 = t, -4*m + 3*t + j = 1. Suppose 2*q = -m*q + 104. Solve 2*y - q = -4*i, -24 = i - 2*i - 4*y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqlqeqppujppuqq. What is prob of picking 1 j and 1 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1214*i = 3244 + 2826 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03952 + -0.04. What is z rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30689694 to the nearest integer?\nAnswer: 5540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 19*w - 27. What are the prime factors of f(-5)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**2 + 3*j + 2. Let i be r(-2). Suppose 3*m = -0*m + i. Let t(v) = 6*v**2 - 5. Is t(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1467 is divided by 900?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 575*x - 155*x**2 - 606*x - 38*x**2 - 3 wrt x.\nAnswer: -386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.2 * -0.05\nAnswer: -0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192469, 193478, 194487, 195496, 196505?\nAnswer: 197514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 40934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 12:39 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**5 + 55468*c**4 - 192321421*c**3 + 192279822*c**2 - 48066489*c = 0.\nAnswer: 0, 1\/2, 6933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.6 + 2.49. Let c = -412.89104 - -413. Let o = c + g. What is o rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5*x + 17. Let c be h(3). Suppose c*p + 22 - 32 = 0. Solve 3*y - 2*y = -p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwrgwbgwagbbgbwawgb. What is prob of sequence ar?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 30. Suppose -r = -2 - j. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 + 2*d**3 - 2*d**3)*(-1 + 269030*d**2 + 1 - 269232*d**2).\nAnswer: 202*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000028875768 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((28\/(-536))\/7)\/(-6*(-17)\/(-408))\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -22*s. Let d(c) = c. Determine 4*d(q) - f(q).\nAnswer: 26*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 136817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 - 3\/((-228)\/(-176)) and -85\/6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(320) + 5*sqrt(45))**2*4 + 5.\nAnswer: -184*sqrt(5) + 10589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 9, -575, -105, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 7, w: 8, q: 4, r: 1}.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13787, 37331, 60877, 84425?\nAnswer: 107975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81605477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -0.5. Suppose 0 = -2*v - 8*v + 180. Let p be v*1\/40*5\/3. Which is the smallest value? (a) h (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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 p = 4.61152 + 0.00548. Let z = -0.653 - p. Round z to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 5:45 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110676?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(195\/(-5))*6\/(-11).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000010001 - 0?\nAnswer: 111000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 15 = 3. Suppose 5*w - w - 132 = -4*m, -b*m - w = -61. Calculate the smallest common multiple of 4 and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4b2c7 (base 15) to base 4\nAnswer: 322222012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 0 - (-5 - 0). Let m be 9\/12 + (-2 - 543\/(-12)). Suppose 5*f = 2*o + 1 - 15, -3*o = g*f - m. Solve -5*q = -3*b + 6, o = -5*q + 2*q - b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 59723, 59895, 60071, 60245, 60411, 60563, 60695?\n\"Answer: -w**3 + 8*w**2 + 155*w + 59561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-12)*-2)\/2)\/(8\/16).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -7. Suppose -c*u = 3*u. Suppose u = 9*v - 3*v - 48000. What is v rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*d - 2. Solve d*k + 4*w = -4, -6*k - w = -k - 15 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -247 and 0.4.\nAnswer: -98.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7930917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-8) + 19\/4. Suppose v - 2 = h. Is 2 - 21\/h*-3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 divided by 32?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -51364817.5 rounded to the nearest ten thousand?\nAnswer: -51360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 212224102?\nAnswer: 212224110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**5\/60 + 11*r**4\/24 - 17*r**3\/6 + 81*r**2. Let i be a(5). What is the greatest common factor of 26 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10105?\nAnswer: 5, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-3))\/(2\/9). Let u be (-50)\/28 + 9\/b. Let f = -597 - -590. Is f bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 492 + -478 - (-12)\/((-381)\/(-296)*4\/(-6))\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**4 - 5*y**3 + 8*y. Let l(q) = -q**4 - q**3. Let x(g) = i(g) - 5*l(g). What is the second derivative of x(w) wrt w?\nAnswer: 108*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*w + 57748 - 287404 = 0. What is the highest common factor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245378227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1079, -767, -215, 577?\nAnswer: 1609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-730)\/16*482\/(-4). Let j = 5496 - z. Calculate the common denominator of j and 13\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 4*c**2 + 7*c + 34. Let d be 14\/28*(-4 - 2). Let y be k(d). What is the third biggest value in 7, -1\/2, y, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7497.47 to the nearest ten.\nAnswer: -7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -139*p**3*r**2 - 2*p**3*r + 3*p**2*r + p*r**4 + 5*r wrt r?\nAnswer: -278*p**3 + 12*p*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 4*v + 56, 3*j + 4*v - 29 = 13. Suppose 0*p + p - 13 = -4*o, -p - j = -5*o. Solve p = 10*t + 21 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/8*11\/(-110)*-15*8\/18\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1\/5, 3\/275, -1, -1\/4, 6.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/26)\/15 - 378\/441*21\/(-12)?\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + -2 + 3 + 144\/24. Let w(o) be the first derivative of 4*o + 5 - b*o**2 - o**3 + 9\/4*o**4. Factor w(u).\nAnswer: (u + 1)*(3*u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2249378*d**2*h**3 - d**2*h - 2*d**2 + 3*d*h + 3*h**2 + 60601*h wrt h?\nAnswer: -13496268*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * 230686.\nAnswer: -207617.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 3*w + w)*(-139*w**3 - 7*w**4 + 139*w**3) + 159*w - 159*w - 2*w**5 + (0*w**2 + 2*w**2 - w**2)*(-4 + 4 - 2*w**3).\nAnswer: -11*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 12, v: 1, b: 2, q: 1, e: 1}. Give prob of picking 1 t and 1 v.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 8*a**2 - 8*a + 9. Let j = -62 - -89. Suppose 5*v - j = 8*v. Let s be u(v). Solve 0 = -o - s*o + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06251 - -6.55?\nAnswer: 6.61251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113981 is divided by 750?\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1323 - 102?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3442 and -1227.\nAnswer: 4223334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - -1. Let f(p) = -151*p + 13. Let j(z) = 101*z - 12. Let m(o) = -2*f(o) - 3*j(o). What is m(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 307 (base 15) to base 16.\nAnswer: 2aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*c + 547 = 0, 120 = 2*w + 2*c - 100. Suppose s + 4*z - w = 1810, -5*s + 4*z = -9561. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(396)*1 - (-2 + sqrt(396)*2) - -1*sqrt(55)\/((sqrt(5) - (sqrt(500) - (sqrt(500)*-1 + sqrt(500)))) + sqrt(5)))**2*6.\nAnswer: 441*sqrt(11)\/2 + 80961\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237201832?\nAnswer: 2, 7, 31, 139, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-146)\/48 - (-2)\/(-18)*-1*(-3014 - -3011)?\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.26198 - -2769.26198. Sort z, -4, -5.\nAnswer: -5, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2798, 5674, 8550, 11426, 14302?\n\"Answer: 2876*j - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 3*h + 4*b - 544 = 0, 0 = -3*h + 4*b + 320. Let w(p) = -p**3 + 4*p**2 + p. Let k be w(3). Calculate the greatest common divisor of h and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264170.\nAnswer: 2, 5, 26417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 5, -3*n + 3*j = -15. Solve -3*c + 5*t = 30, -2*c - 2*t + n = 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -992690*i + 496348*i + 496343*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 202, 318, 512, 790, 1158, 1622, 2188, 2862?\n\"Answer: t**3 + 33*t**2 + 10*t + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 174 and 30?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125, -1210, -4239, -10208, -20113, -34950, -55715, -83404?\nAnswer: -119013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24742?\nAnswer: 2, 89, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(1\/5)*t\/t**(1\/28))\/((t\/t**(-1))\/t*t*t*t*t\/t**21))**(-5) assuming t is positive.\nAnswer: t**(-2683\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (132\/5)\/((-161)\/98210*-183)\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2467243, 2467245, 2467247?\n\"Answer: 2*z + 2467241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -193*m + 96*m + 41*m**2 + 110*m in the form q*m + y + p*m**2 and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7953, 7923, 7871, 7797, 7701?\nAnswer: 7583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0353446+1.36789057\nAnswer: 1.33254597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2)*m\/m**(-10)*m*(m\/(m*m*m**(2\/105)))\/m**(7\/3) assuming m is positive.\nAnswer: m**(698\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -1, -8\/5, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(72\/42)*528\/308.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -4, 3818?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q - 7 = -18*q + 52*q - 21*q - 3*r + 17, 6 = q - r for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 p, and 1 t when three letters picked without replacement from {b: 1, p: 9, t: 4, i: 1, v: 5}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*w - 12189 - 4808. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-18) - (-277)\/9. Suppose o - 83 = -13*k. Suppose -k = 4*f, 10*p - 3*f = 6*p + 243. What is the remainder when p is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -338*q**6\/5 + q**5\/60 - q**4\/4 - q**3 + 3*q**2. Let x be k(-4). Let b = 69202 - x. What is b rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -12*p. Let m(l) = 5*l**2. Determine r(m(z)).\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 1234.\nAnswer: -246.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9143, 290, 3 in decreasing order.\nAnswer: 290, 3, -4, -9143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3732881 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 1 + 2)*(-2*b + 9 + 5 + 21) to the form g + t*b and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/5)\/(4\/(-10)). Let v(x) = x**2 + 7*x. Let h = -9 + 2. Let n be v(h). Solve 4*u = -m*y - 0*u + 15, n = y - 3*u + 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -0.3 (c) -2\/3 (d) 944 (e) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(288)*-3)*-4 - (5 + (sqrt(125) - (-3 + sqrt(125))*6 - sqrt(125))))**2.\nAnswer: -12466*sqrt(5)\/9 + 410054\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 12*g - 30. Calculate a(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 = -d - 146 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o**2 - 2*o - 6. Let r(s) = -s**2 + 1. Let t(v) = g(v) + 6*r(v). Let a be t(2). Solve 2*d - x - 2 = 0, -5*d - 4*x - 8 = -a*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 22*z - 12 - 87*z)*(5 - 1 - 1).\nAnswer: -195*z - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 102 - c**2 + 0*c**2 + 87.\nAnswer: -c**2 + 2*c + 189","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = o + 56. Let f be 2212\/o + (-2 + 1)*-1. Factor f - 34*j - 392*j**3 + 154*j + 45*j**2 + 397*j**3.\nAnswer: 5*(j + 1)*(j + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*s - 26 = 0, s = 4*o - 4*s - 10. Suppose 4*d = -d + 2*q - 12, -2*d - o*q - 28 = 0. Is -74*3*2\/d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-101400)\/780*3\/(-15)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-224))\/((-6)\/(-24)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x**3 + 204*x**2 + 5*x + 160. Give v(-34).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 5*c = r + 6, 5*c + 61 = 4*r. Suppose -5*y + 12 = 4*o + 49, -r = 3*o. Calculate the remainder when 5 is divided by 1*y\/((-15)\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*w - 178*w + 73*w.\nAnswer: -68*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11698 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 2*u**2 + 1. Let c(r) = r**2 + 9*r + 2. Let a be c(-9). Suppose -a*t + 4 = -4. Let w(o) = 3*o - 10. Let x be w(t). Give d(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -0*m - 2*o - 4, -5*o - 10 = 3*m. Suppose m = 2*u - 4*u + 66. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -4 - (-11 - -7)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -5*t + 27. Let d = -11 + t. Let y = d - -3. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2416218*z**2 - 13*z. Let c(a) = -2*a. Give c(u(m)).\nAnswer: -4832436*m**2 + 26*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + b + 34. Calculate the remainder when y(0) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 + 59. Let o(j) = j + 1. Let h be o(2). Let f = h - i. Calculate the highest common factor of 91 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1524 divided by 3816.\nAnswer: -127\/318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*j + 5*j**4 + 18*j - 10*j wrt j?\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 205 = 241. Suppose 0 = -r*w + 3*w. Solve -3*f - f - 12 = w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1833*z - 1921*z + 8624 = 0. What is the remainder when z is divided by 190\/4 - (-2)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 18. What is the remainder when 49 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 275307 and 2445.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 84a (base 16) to base 3\nAnswer: 2220121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4593 divided by -407\nAnswer: 4593\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -x - 4*x + 3*n, 2*x + 2 = 4*n. Let v = 5 - x. Find the first derivative of -2 + 3*z**2 + 0 + z**v wrt z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -831, -825, -815, -801?\n\"Answer: 2*a**2 - 833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -8*b + 1. Let f be l(1). Let n(x) = -4*x - 23. Let v be n(f). Let 5 + 12*h**2 - 19*h**3 - 8*h - v - 12*h**4 + 23*h**3 + 4*h**5 = 0. What is h?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 0 + 0*u**6 - 2\/21*u**7 + 0*u**5 + u**4 + 0*u**3 + u + 0*u**2. What is the third derivative of o(w) wrt w?\nAnswer: -240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -348951633.\nAnswer: -4\/348951633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*y = -h - 767, 2*y + 568 = h + 519 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, z: 7, u: 2, b: 3, a: 1, l: 3}. What is prob of sequence kau?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 + 37)\/(1758\/536 + 78\/(-24)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -17. Suppose -y + 1 = -w. Suppose p - z - 5 = 0, 2*z + 4 = -6*p + 2*p. Calculate the remainder when w is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 23904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 139\/2 + -67. Sort -0.5, -0.2, -4, o in decreasing order.\nAnswer: o, -0.2, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6134484 + 6132988 = -22*l for l.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11338 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 80847961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -272 minus -84016?\nAnswer: 83744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.6032 + 4?\nAnswer: -85.6032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24c - -44c05?\nAnswer: 44986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 25, 1\/5, 7, -1, 24?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26188 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(6\/7)*k\/k**1*k**(-1)\/k*k**(1\/4))\/((k\/(k*(k**(-2)\/k)\/k))**(-8\/15))**(-1) assuming k is positive.\nAnswer: k**(-1271\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 + -48. Suppose -9*n + 18 = -x*n. Let s be -51*(-2 - 0) - (20 + n). What is the greatest common factor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 209477604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13217361540 take away 0.68?\nAnswer: 13217361539.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5827903, 11655802, 17483701?\n\"Answer: 5827899*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 10*q + 18. Let y be o(-9). Let k = y + -5. Suppose 0 = -3*t + k*a + 535 + 608, -2*t - 2*a = -762. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 - 3*z**2 - 2*z - 3. Let k be s(-2). Let o = 12 - 9. Let a = k - o. Solve a*p - 27 = -5*r, -5*p - 2*r + 0*r + 15 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 400982, 1603914, 3608798, 6415634?\nAnswer: 10024422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - -5) + (-5 - -3). Suppose a = c + 5, -c - 5 = -5*h + 3*h. Find i, given that h + i - 1\/2*i**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2885 * 6.\nAnswer: 17310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, y: 3, f: 4, o: 3, e: 3}. What is prob of sequence ef?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 334694.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1781040 and -115\/17958?\nAnswer: 130015920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from xqqqqxxxqxqqx.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010520684932 rounded to five decimal places?\nAnswer: 0.01052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4724 - 0.0724. What is the closest to -2\/9 in 1, h, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = -2*o. Let q(k) = -3*k - 8. Let p(b) = -8*b - 23. Let s = -5 - 12. Let w(h) = o*p(h) + s*q(h). Differentiate w(t) with respect to t.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2768222, 5536443, 8304664?\nAnswer: 11072885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve w + 4 - 1 = d, 3*w + d = -9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 276834 and 258?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 4:45 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4203650219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 6*o = -3*o - 4, -m - o + 6 = 0. Let b(h) = -4*h**m - 2*h - 2*h**3 + 6*h - 2 + 3*h**3. What is b(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 - (-2 + 4 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -129 - -139. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 3, -5.\nAnswer: -5, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5*-7620.835\nAnswer: 38104.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 7:27 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93.9 + -29.1. Let m = -2437984.9853 - -2438108. Let b = t + m. What is b rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43018 take away -24346124?\nAnswer: 24303106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**8\/6720 + t**7\/840 + t**5\/20 + 3*t**2. Let j(s) be the third derivative of r(s). Factor j(h).\nAnswer: 3*h*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 6*d - 6. Suppose -3*q + 39 = -5*l + q, l - q + 8 = 0. Determine m(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, z: 4, q: 3, x: 5, t: 1}. Give prob of sequence qztz.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 1 = 19. Let k be (3 - (z - -3)) + 3. Suppose -4*b + k = -b. What is the smallest common multiple of 13 and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2621 is divided by (-2)\/(-3) - (66 + -58)*23\/(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 2*i**2 + 214970 - 51136 + 206136.\nAnswer: 2*i**2 - 2*i + 369970","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-112)\/20*(-55)\/(-2). Let k = -94 - m. What is the greatest common divisor of k and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/(sqrt(11) + (sqrt(11) - sqrt(110)\/(sqrt(10)*-1) - sqrt(11))))**2.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(2*k - 5*k + 0*k) + (1 + 5 - 4)*(4 - 9 + 3)*(k + 4 - 4).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (5*(-6)\/(-200))\/(3\/(-2))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -888*h - 992 = -104 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2977237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49897903 - -3334.\nAnswer: -49894569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/37 - 1849\/333. Find the common denominator of -101\/6 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hk when two letters picked without replacement from jkhkp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 12 = -i. Suppose 4*a - q + 28 = 10, -i*q - 33 = 5*a. Let s(x) = x**2 + 1. List the prime factors of s(a).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8914275 is divided by 1927?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 528614998 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 250\/(-15)*54\/(-4). Suppose -z - q = -10*z. Calculate the remainder when 121 is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 5 - 20 - -42?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -5*g + 3*p, -5 = 2*g - p + 10. Is 38*1 - (g - -4) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-3) + (-8)\/24. Let x(p) be the second derivative of -1\/6*p**4 + 2*p + c*p**3 - 1\/2*p**2 + 0. What is the derivative of x(i) wrt i?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 2340.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 378635?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 5:24 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a41 (base 15) to base 8.\nAnswer: -36703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1201, 1313, 1499, 1759, 2093, 2501?\nAnswer: 2983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.2054.\nAnswer: -0.2054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2947704.\nAnswer: 2, 3, 263, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/sqrt(2)*-4 + (sqrt(2299) - (-1 + sqrt(2299) + sqrt(2299))))**2.\nAnswer: -30*sqrt(19) + 4276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20743, -20733, -20721, -20707, -20691, -20673, -20653?\nAnswer: -20631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + 15. Let m = f - 14. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*f + 6 = 0, 5*f - 2 = 4*q + 13. Suppose -11*m + 502 + 26 = q. Suppose 0 = 6*x - 8*x + 32. Calculate the highest common divisor of x and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 4*g - 3351, -21*g + 20*g - 3345 = -u. List the prime factors of u.\nAnswer: 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y. Let k(d) = 2*d - 15. Let x = 21 - 12. What is the remainder when k(x) is divided by r(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*p**2 - 8*p**2 + 22*p**2.\nAnswer: 28*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 19*i. Let z(q) = 3*q**2 - 49*q. Determine v(z(a)).\nAnswer: 57*a**2 - 931*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 114 - 113.8. Suppose 8 = -2*u - 2*u. What is the nearest to -2\/7 in u, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -6 (b) 5 (c) 1119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (2 - 22\/18). Let z = -162322 - -162311. Sort y, 5, 2, z.\nAnswer: z, y, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -271\/42 + 51\/7. Let v = -605\/4 - -152. What is the smallest value in v, q, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 2 (b) 2\/13 (c) -0.02 (d) -9 (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 470 + -663. Let m = x + 272. Let c = m + 75. Calculate the highest common factor of 22 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwll when four letters picked without replacement from nlwnwllwlnl.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*l + 15 + 7*l - 20)*(6 - 2 - 2)*(3*l**3 - l**2 + l**2) in the form g*l**3 + k*l**4 + r*l**2 + h + w*l and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 49 = -3*r, -76035*r - 2*z = -76056*r + 25 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m**2 + 4*m + 1. Calculate s(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -2 - (-23 - -22 - (5 + 30 + 4))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47 or 0.83?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 8067870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 3*r + 5, 3*p - 5*r - 13 = 5*p. Let s = -11 - p. Suppose -n + s = -0*n. Solve n*k = -6 - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 552?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4*sqrt(19)*-1*4)**2 + sqrt(475) + 4 + -3 + -5.\nAnswer: 5*sqrt(19) + 4862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/15*(-380)\/57.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 326968.6 to the nearest one thousand.\nAnswer: 327000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence glg when three letters picked without replacement from {l: 2, n: 4, q: 4, g: 5}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-34)\/(1\/(-4*2)). Suppose 0 = 4*r + j - 752, -3*j - 292 - f = -3*r. Let q = r + -107. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -1. Suppose -j = 4*r - 9. Solve r*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -14*u. Let d(g) = -8 + 2*g - 2 + 10. Determine d(i(s)).\nAnswer: -28*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/4 - (-26)\/8. Suppose -4 = k*c - 7*c. What is the smallest common multiple of c and 2\/((-2)\/(-11)) - 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 + -37. Let y = -131 - -157. Calculate the remainder when y is divided by (1 - v)\/(-5 - -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 - 4*x + 8 + 5*x + 0*x - 2*x to the form q*x**2 + j*x + c and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3776422 rounded to 2 decimal places?\nAnswer: -2.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(1\/10)*o*o\/o**(2\/19)*o)**(-29))**(-37) assuming o is positive.\nAnswer: o**(773633\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*a + 112*a - 16*b + 53 = -11*b, 19*a = -5*b + 93 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -109 + (-17 - 13) + 22 + -12 + 24?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -3*b**2 - b - 504. Let c(n) = -19*n - 4. What is 2*c(d) - 7*g(d)?\nAnswer: 4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13534969 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 5:48 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -189000 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**3 + 33*k**2 + 5*k - 12. Give o(16).\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15189825 by -3.\nAnswer: 5063275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 r when two letters picked without replacement from tttttttrttrtttttrttr?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + -1. Let z = -0.6 + 0.3. What is the second smallest value in y, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 11:00 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-23)\/7 + 2\/7 - -3. Let r(n) be the first derivative of 0*n**3 + f*n**2 - 1\/4*n**4 - 1 - 3*n. What is the first derivative of r(y) wrt y?\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 702 and 312?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/27*174\/232?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 108 = -4*y, -2*y = -0*y + m - 40. Suppose -y + 34 = 4*z. Let g be (-2)\/(-11) + (-155)\/(-55). Solve -z = g*c + 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 9*g - 10. Let f(x) = -2*x**2. Determine f(n(h)).\nAnswer: -162*h**2 + 360*h - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (9 - 1 - (9 - -3)) + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(5 + (-6 - 0) - 18) - -4.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-81)\/468)\/(30\/(-16)))\/((-12)\/(-20))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8 - b - 2 - 1. Let l be i(-11). Solve j = -3*w - l, w - 3*w - 15 = 5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 159 (base 11) to base 2.\nAnswer: 10111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = c - v - v, c = v - 55. Find the common denominator of 2 + 539\/88*2 and (128\/c)\/((-16)\/(-24)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 10) to base 11.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pffffttcp. Give prob of picking 2 f, 1 p, and 1 c.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/5 + 3647*q\/5.\nAnswer: q*(q + 3647)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**3 + 529*c**2 - 179*c + 510. Calculate r(176).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -203*8.439\nAnswer: -1713.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*q - 888 - 540 = 0 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 146096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 61\/(45140\/111)*(-294)\/(-63)\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 45496113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*q - 54 = 14*q. Let f be -1 - (-1)\/(5\/4). Which is the second biggest value? (a) q (b) -2\/9 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4444, 5618, 6792?\nAnswer: 7966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 876 + -813. What is the remainder when k is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.7140293 months?\nAnswer: 0.00142835775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/5 and 151\/198.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6*7)\/(-3))\/2. Suppose 3*m = -m + 24. Suppose m*s = i*s - 8. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.4 + -4.4. Let h = -2\/21 - -25\/42. What is the third biggest value in k, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -121935, -239513, -357091, -474669, -592247, -709825?\n\"Answer: -117578*g - 4357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011936454 to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 + 100*v**3 + 0 + 24 - 8.\nAnswer: 98*v**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13, -9, -1, 11?\n\"Answer: 2*m**2 - 2*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/4)\/l**9*l*l**(-3\/2)*l\/(l*(l\/l**(-4\/9))\/l))**(11\/6))**(2\/85) assuming l is positive.\nAnswer: l**(-3839\/9180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1617.498 months to years.\nAnswer: 134.7915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m - 52 = 4*a, 5*m + 65 = -3*a. Let q = -18 - -33. Let y = q + m. Put 1, 4, y in increasing order.\nAnswer: 1, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -512*c - 63. Is t(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10891272)\/(-32) + 5\/(-2)*2\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139162 divided by 5.\nAnswer: 139162\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2270226714.\nAnswer: 2, 3, 7, 151, 357967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-1 + 0)) + ((-2)\/4)\/(2651\/(-397650))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 3*f**5\/5 - 831*f**4\/5 + 71841*f**3\/5 - 2023161*f**2\/5 + 22950816*f\/5 - 91593348\/5 = 0.\nAnswer: 11, 14, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0439 + 0.4439. Sort t, -0.3, 171 in decreasing order.\nAnswer: 171, t, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 2:49 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 134212 + -2334?\nAnswer: 131323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3584027, -7168052, -10752077, -14336102, -17920127, -21504152?\nAnswer: -25088177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 24*x - 2 - 16*x - 13*x. Let g be i(-1). Suppose 5*m - 44 = 3*n, -4*m - g*n + 19 = -0*m. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 smaller than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(171)*-4)\/(sqrt(63)\/(sqrt(7) - sqrt(63))).\nAnswer: -16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 297011185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -189 or -663?\nAnswer: -189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 653 is divided by 306.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -26, -21?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 2. Let s = 2 - q. Suppose -2*o + 0 - 2*o**2 - o**s + 3*o**3 + 2 = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16909)\/(-999) - 17)\/((-1)\/6)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*o**2 - 206*o**2 - 118*o**2.\nAnswer: -388*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a**2 + 0*a**2 - 21*a**3 - 10*a**2.\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 6 - 70. What is the remainder when (5\/(60\/(-16)))\/((-1)\/69) is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011010 (base 2) to base 6.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 5*t = -4. Let p(b) = -2*b - 3. Let h(c) = 2*c + 4. Let f(v) = t*h(v) - 5*p(v). Give f(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = -0*d + 665 + 57946. What are the prime factors of d?\nAnswer: 3, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 2*u - 8, -p + 957 - 973 = -4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 162 = 6*u. Suppose u = 7*j - 15. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -16*s - 4. Let d be c(0). What is the hundreds digit of (1 + 22 + d)*31?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-10\/3)\/m**(2\/7)*((m*m**7)\/m)\/m**(-17) assuming m is positive.\nAnswer: m**(428\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12696)\/24)\/(-23) + (3 - (4 + -1)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 19\/6*v**3 - 3\/2*v**2 + 0 - v. Let f be m(2). Calculate the highest common divisor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*c = -19*c + 588. Solve 3*t - 3*q + c = 0, -11*t + 13*t - 1 = -3*q for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 (base 13) to base 4\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 8:08 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 3)*2*4.\nAnswer: 8*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1465 + -1455. Solve 2*i = 5*o + 35, -o + c = 5*i + 2*o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167897 is divided by 288?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 24 = 8*s - 4*y, 4*s = -4*y - 12. Which is bigger: -73\/29 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggbbwojx. What is prob of sequence bbxg?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 42*r**2 + 47*r + 175. Let j be c(-43). Let d = 15 - 9. Suppose x - d*x = -s - 11, 0 = 2*x - 4*s - 8. Solve x*l = -j*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + x**2 - x + 1. Let g(c) be the second derivative of -3*c**5\/20 + 5*c**4\/12 - 5*c**3\/6 + 2*c**2 + 5*c + 49. Determine -g(v) + 4*t(v).\nAnswer: -v**3 - v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28737 + 28752.029. Let x = -0.216 - 14.984. Let o = v + x. What is o rounded to 2 decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1389 - -2046. Let v = 3238\/5 - z. Calculate the common denominator of -22\/9 and v.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 492.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of q**6\/15 + q**5\/4 + q**2 - 9. Let j(d) be the second derivative of f(d). Find the third derivative of j(w) wrt w.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 162*f + 24 = 0, -86*i - 120 = -91*i + 4*f for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*f + 82*f - 4*j = 0, 0 = f - 2*j + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 j when two letters picked without replacement from {j: 1, i: 1, g: 2, r: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -27525, -9 in descending order.\nAnswer: 14, -9, -27525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w - 15*w = -86*w + 105156. Calculate the highest common factor of 45 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -159 times -0.6215?\nAnswer: 98.8185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o**3 + o - 2*o - o**4 + 6*o**3 + 2 to t*o**4 + m + s*o**3 + c*o**2 + d*o and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007542 rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*u**3 - 474*u**2 + 2*u + 2469.\nAnswer: -294*u - 948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -57)*((-1500)\/(-80) + -19)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**2 - g**2 + 5*g + g**2 - 2*g**2 - g + g + (-g**2 + 1 - 1)*(-5 - 2 + 3) + (-2*g + 3 - 3)*(2*g + g - 5*g).\nAnswer: 9*g**2 + 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4985315 centuries in months?\nAnswer: 598.2378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208407 divided by 127.\nAnswer: -1641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8576?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -180, -362, -544, -726, -908, -1090?\n\"Answer: -182*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/4))**50\/((x**(-5\/4)\/x)\/(x\/x**(-1))) assuming x is positive.\nAnswer: x**(67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 + 14509\/(-4235)*5)*-7?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**2 - 2 + 10*z - z**2 + 9 - 2*z**2. Let y be c(-6). Let q = 14 + y. Sort 0, q, 7 in increasing order.\nAnswer: q, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*l**2 - 158*l**2 + 76*l**2 + 62*l to the form c + b*l + q*l**2 and give b.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -k**3\/3 + 9*k**2\/2 - 8*k + 142. Determine i(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**1*p*p**(-2\/5)*(p*p\/p**1*p*p)\/(p*p*p\/(p*p**(-5)*p*p)) assuming p is positive.\nAnswer: p**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + i**2 + 2*i + 12. Let k be r(3). Solve -c - 4*p - 1 = -k, -c - 9 = -4*p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 1:55 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5719010*p + 4657990?\nAnswer: 5719010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/21 - 164\/(-14). Let h = -8 - 83. Let y = h + 127. What is the highest common factor of i and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -3*r**5\/4 - r**4\/12 + r**3\/6 + r**2\/2 - 289*r. Calculate v(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30413 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**7\/210 - 7*l**3\/6 - 6*l**2. Differentiate j(r) wrt r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35720*o**3 + 7022*o**2 - 2*o + 2.\nAnswer: 214320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p - 5*p**2 + 5 + 1 + 3 + 5*p - p**3. Let x = -165 - -174. Suppose -5*g + 3 = 2*n, -26*g + x = -23*g. Give j(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4671547492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 10:01 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -34. Calculate the least common multiple of 51 - 3*(-7 + 64\/6) and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 1\/3, 1 in increasing order.\nAnswer: 1\/3, 1, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 0*z + 56. Let u = 23 + 19. What is the greatest common divisor of z and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yxxxxyyxyyxxyy. Give prob of sequence xyxx.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - (sqrt(136) + (sqrt(136) - (sqrt(136) + -1*sqrt(136)))))*4)\/(sqrt(8) - -4*sqrt(512) - sqrt(8)).\nAnswer: -sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - c - 64 - 32, 3*c = u - 22. What is the remainder when 184 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 86*r - 33*r - 51*r. Let s(a) = -4*a**2 - 26. What is s(i(m))?\nAnswer: -16*m**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o. Let p(t) = -t + 1. Let g be (-3)\/6*-2 - -1. Suppose 0 = -3*y - 3. Let c(l) = l + 2. Let b(j) = g*p(j) + y*c(j). Determine m(b(q)).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.4 - 10.4. Suppose 6*h = -131 - 163. Let f = 35 + h. What is the smallest value in f, -0.4, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99990\/31 or -3225?\nAnswer: -99990\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 17 - 1. Let b = y - -23. Suppose s = 4*o - 115, -o = -b*o + 2*s + 118. What is the greatest common factor of o and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-395)\/(-7) - 200\/(-350). Suppose -258 = 14*f - u*f. Solve 15 = 5*r + 5*x + 5, 0 = -3*x + f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26.4 or 71?\nAnswer: 26.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/3)\/(b*b\/b**(-1\/2)))\/((b*(b\/(b*b**(-1\/6)*b))\/b*b*b)\/b)**6 assuming b is positive.\nAnswer: b**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + 16 + 3 + -29?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -614 - -1008. Is m*(21\/(-6))\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 y when three letters picked without replacement from dudmymmpvmydvd?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5433\/2 + -2716. Let h(s) be the first derivative of 5\/6*s**3 + 5\/18*s**6 + 5\/6*s**2 - 5\/6*s**4 + 0*s - k*s**5 + 13. Let h(g) = 0. What is g?\nAnswer: -1, -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*(sqrt(891) + (sqrt(891) - (sqrt(891)*1 - sqrt(891))) + sqrt(891) + 0 + sqrt(891) + sqrt(891) - sqrt(891))*3 + 5)**2.\nAnswer: 1728*sqrt(11) + 128368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*z - 184*z = -182 - 61 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 2. Let f(v) = 0*v**2 + v + 2*v + 2*v**2 - 6 - v**2. Let j be f(-5). Calculate r(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**3 - 36*u**2 - 1. Let m be z(12). Let o(b) = 8*b**2 + 9*b - 4. Let y(r) = r**2 + r - 1. Determine m*o(h) + 6*y(h).\nAnswer: -2*h**2 - 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61 and 23729.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {w: 5, q: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-6 - (-9 + 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - s + 3 = 0, -f + 7*s = 2*s + 27. Let x(h) = -47*h + 381. Let p be x(8). Let q = 1.854 - -0.146. Which is the closest to f? (a) p (b) q (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozzzowwowwm. What is prob of picking 2 o?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5008 divided by -5008\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v**3 - 4*v**2 - 3. Let n be k(-2). Suppose -l + 2*p = -45, l - 48 = n*p - 9. Suppose -87 - l = -2*r. Is 34 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18828114 divided by -3138019\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -568.0375364383 - -8\nAnswer: -560.0375364383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8 - -269940)\/4 - (3 - (4 - 7)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1143 + 1655. Calculate the highest common factor of 320 and x.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 432*t**4\/7 - 216*t**3\/7 + 36*t**2\/7 - 2*t\/7 = 0 for t.\nAnswer: 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -0.04, 0.05, 2, -120?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2007.4037656 to 1 decimal place.\nAnswer: 2007.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 202*a**5 - 203*a?\nAnswer: 4040*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 3*x = -4*o - 57, -84 = -4*o + 4*x. Suppose 4*i = -0*i + o. Let l = i + -4. Which is the nearest to -0.1? (a) -1 (b) l (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 19\/7 + 4\/14. Solve 5*p - 4*q + 5 = 0, -y*p + 2*q = -3*q + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 10.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57131550*k = -57131559*k - 495 for k.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**6\/120 + y**5\/30 + 3*y**2. What is the third derivative of g(n) wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 5, 188?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 7*i**2 - 3*i + 8. Calculate l(8).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-142)\/213 - (1 - (-52)\/(-6)). Suppose 53 + r = -4*q. Which is bigger: -17 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 - -187. Let j = 266 - q. Factor 0*h**2 + 0*h + 0 - 1\/4*h**j - 1\/4*h**5 + 1\/2*h**4.\nAnswer: -h**3*(h - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88742278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2)*(4*q - 4*q + q**3) + 9523*q**3 - 54412*q**3 + 14702*q**3 - 34883*q**3 to the form u*q**3 + b*q + l*q**2 + z and give u.\nAnswer: -65072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -217 or -201?\nAnswer: -201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -355 - -15414?\nAnswer: 15026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1871027784?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 a, and 1 t when three letters picked without replacement from {s: 1, u: 2, a: 1, g: 4, t: 2, q: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/100 and -68\/3705?\nAnswer: 74100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -22*y**2 - 87*y - 10. Let i be q(-4). Is i <= -96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -371803700*w**4 - 296868*w**2 - 4*w + 125?\nAnswer: -8923288800*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.884 and -0.3?\nAnswer: 0.2652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -784 + 662. Is h greater than -245\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 5. Suppose 5*j - 4*n + 0*n = 27, -3*j - m = 4*n. Suppose -5*s = 15, -4*p - j = -p + 4*s. Solve -p*a = -5*a + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421 a factor of 448391944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**2 + w - 14. Let b be i(-4). Let h(o) = o**2 + 43*o - 18 + b*o - 98*o. Let s be h(11). Solve -2*c - 4 = -2, 0 = -4*p - s*c - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -14.8. Let r = 7.3 + g. What is r rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.41317 to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**5\/5 - 127*s**4\/2 - 14709*s**3\/10 - 103741*s**2\/10 - 35453*s\/2 = 0.\nAnswer: -293, -11, -5\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 267420689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/9*-2*(-3)\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -78, -54, -28?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 4 + 6 = -0*p + 3*p, -75*p - 125 = 5*a - 0*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, 511, 1078, 1861, 2866, 4099, 5566?\nAnswer: 7273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1979 - 14a09?\nAnswer: -16887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 - t + 2. Let f(n) = -6*n**2 - 2*n + 5. Let m = 17 + -6. Let d(p) = m*g(p) - 4*f(p). Is d(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6395461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 3 (b) 4 (c) 6 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8659 is divided by 200?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u - 5. Let s(h) = 17*h + 21. Suppose -3*o + 4 = -2*v + 2, -5*v + 6 = -2*o. Determine o*s(k) + 9*n(k).\nAnswer: -2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/2432 and -43\/3799088?\nAnswer: 30392704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 1:55 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 - 54.2. Let w = f + 54.8. What is the fourth biggest value in 0.2, 3\/2, w, 0.04?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 8*x**2 - 12*x + 6. Let m be s(6). Let l(n) = -n**3 + 7*n**2 + 18*n. Let f be l(9). Suppose m*d - 4*d - 420 = f. Does 42 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -2. Let j(z) = -z**2 - 6*z + 3. Let y be j(-6). Suppose -y*q = -3 - 6. Is q at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + 0.9. Let d = 0.7 - g. Let l = 17.5 - 18. Which is the nearest to 1\/5? (a) d (b) 0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8919557024 to the nearest 1000000.\nAnswer: -8920000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022 + -10?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*d**2 + 2*d - 18*d**2 + 5*d**2 + 5*d**2 - 5*d**4 + 1 to the form l*d + v*d**4 + b + i*d**3 + g*d**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11256?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200 and 775.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12344073 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 2386.453\nAnswer: -2386.453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 12. Which is the second biggest value? (a) y (b) 5 (c) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 649 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12397379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 24 = 6. Suppose 2*g - 3 = o*g. Does 7 divide (-1)\/((-40)\/(-44) + g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 774\/1032*8\/(-21)*2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 26*y. Let f(l) = -117987*l**2 - 17*l - 1. Determine f(x(o)).\nAnswer: -79759212*o**2 - 442*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a8b646 + 3?\nAnswer: 2a8b649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**7*f*f*((f*f\/f**6*f)\/f)\/f)\/(f*f\/(f*f**(-2\/3)))**(-5\/7) assuming f is positive.\nAnswer: f**(130\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.09 + 0.09. What is the third smallest value in 5\/6, -2, n?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-280)*(-6)\/9*2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 1024. Let m(p) = 13*p. What is a(m(v))?\nAnswer: 169*v**2 + 1024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -15. Suppose -s*l - 10 = -30. What is the remainder when 17 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16 + -2bd?\nAnswer: -2d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1255*v**4 + 417*v + 575*v + 68*v wrt v.\nAnswer: 15060*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6*m**2. Let r(z) = -z**2. Let c(x) = 5*r(x) - y(x). Let v(k) be the first derivative of -k**2\/2 - 3. What is c(v(w))?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2 - (-1 + 4)) + 1 - 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-4)*8*3. Suppose -2*p - v = 5*b, -2 = 3*p - 4*b - 21. Let x be -4*(-1 - 0)*p. Solve -5*a = -x*a - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 881 by -4.\nAnswer: -881\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/5)*p\/p**(3\/5))**(3\/11)*((((p\/(p\/(p*p**(-2\/9)\/p)))\/p)\/p)\/(p**(-2)*p))**29 assuming p is positive.\nAnswer: p**(-17464\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/105 and -40\/7.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-4 - -10)) + 7 - (-12 + 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = t - 1, h - 87 = 4*t - 96 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 14) to base 12.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -3*p + 7. Let h be 1\/((p\/20)\/1). Let u(r) = -r**2 - 3*r + 2. What is u(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3642, -3633, -3624, -3615, -3606, -3597?\n\"Answer: 9*u - 3651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c - 86. Let k be v(30). Let d(m) = 33*m**3 + m - 34. Let h(w) = -w**3 - w + 2. Let y(j) = k*d(j) + 4*h(j). Differentiate y(n) with respect to n.\nAnswer: 384*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100202221 (base 3) to base 15\nAnswer: 21a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 24. Let k = -2 - -5. Let d(r) = -r**2 + k*r**2 - r**n + r**2. Let b(p) = -10*p. What is d(b(s))?\nAnswer: 200*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1504404.\nAnswer: 2, 3, 11, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -59, -91, -123, -155?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-81))\/(5\/30)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 308399 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 521021201 (base 6) to base 10\nAnswer: 9007489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 i when three letters picked without replacement from iifuf?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (16410\/172305)\/(1\/((-21)\/8)) - 475\/4?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -581.7 - -582. What is the biggest value in -5, 0.2, w, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*(1 - -49 - (18 + 6 + -21))?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5 + 11 = 2*n, -n + 6 = 2*o. Let i be 3\/30*(0 + o). Solve -i*p**5 - 2\/5*p**3 - 6\/5*p**4 + 4\/5*p + 6\/5*p**2 + 0 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v**(-2\/7)*v*v)\/(v*(v*v**(-6))\/v))**8)**(-34) assuming v is positive.\nAnswer: v**(-16592\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/3 (b) 418 (c) -34 (d) 3 (e) 1.4 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 4*w - 4*w)*(2*w**2 + 1 + 18*w + 0*w**2 - 19*w).\nAnswer: -2*w**3 + w**2 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*j - 10, -2*g - 12 = -j - 4*g. Calculate the highest common divisor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 52 - 2*m + 1179*m**2 + 337 - 1177*m**2 - 3*m.\nAnswer: 2*m**2 - 3*m + 285","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 2)\/(12\/(-228)). Let t be 14*-1 + (-3)\/(-3). Let v = d + t. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 382 * -5932.\nAnswer: -2266024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 221*w**3 + 537*w + 658. What is the first derivative of n(s) wrt s?\nAnswer: 1326*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 8*p + 9. Let t be o(-10). Let k be (-3)\/2 + t\/(-2). Suppose -3 = s, k = -x - 2*s - 0. Sort 0.1, 3\/5, x in descending order.\nAnswer: x, 3\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102 - ((-30 + -12 - -18 - 1) + 0)?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100010010100 (base 2) to base 3.\nAnswer: 201212110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 5, q: 9}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77 and 49?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.49999994 - -0.5. Let n = c + 0. What is n rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 29. Let k = -47.27 - -47. Let f = k + -0.03. Which is the second biggest value? (a) 0.5 (b) f (c) -3 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - 2*a - 16, 5*a = -208*k + 204*k - 40 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 3*l + 14. Determine p(8).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**2. Let z(y) = 13558*y**2 - 218. Give z(x(k)).\nAnswer: 122022*k**4 - 218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 q when three letters picked without replacement from {l: 3, c: 4, q: 5, i: 1}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0.1. Let d = -351\/4 - -2473\/28. Let h(b) = -b**2 - 4*b + 1. Let s be h(-3). What is the third smallest value in d, r, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 886\/95 or 8?\nAnswer: 886\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 198?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 263751.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 0 + 0*n**4 + 0*n - 7\/60*n**5 + 4\/3*n**3 + 1\/120*n**6 - 243*n**2. Determine u(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -5*p + 2*o - 12, 9*o = -244*p + 241*p + 45 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + 4 - 4 + (0*v + v + 10*v)*(-4 + 4 + 1).\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 40*z - 738. Is 14 a factor of v(51)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x\/(x\/(x\/(x**(-2\/5)*x))*x))))**(-34)*x\/(x**1\/x)*x\/x**(2\/9) assuming x is positive.\nAnswer: x**(-532\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 179938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-3) - (-406)\/(-21). Let t = 2 - b. List the prime factors of 1\/(3\/t*1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 128 - (12 - 25) - 99\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -1. Let a = -489.54 - -485. Let u = 4.54 + a. What is the third smallest value in -3\/7, -2, u, i?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence av when two letters picked without replacement from oajuv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 46, 96, 180, 298?\n\"Answer: 17*h**2 - h + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110101 (base 2) in base 10?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.57 - 3.57. Which is the closest to 0.1? (a) -1.6 (b) 2\/9 (c) o (d) -64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*q**2 - 5 + 5 - 9*q**3 - 4 - 1 - 118*q**2.\nAnswer: -9*q**3 - 95*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33 - 1 - 5)*(w - 2*w + 3*w + (-4 + 4 - 2)*(3*w - 6*w + w) + 2 + 2*w - 2 - w - w + w)*(0 - 2 + 5) - 4 - 3 + 5 - 2*w in the form u + i*w and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 1, -15, 2, 3?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p + 15 = 0. Suppose 0 = p*b - 2*r - 17 - 58, r + 57 = 4*b. Calculate the remainder when 24 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 6*b - 9. Suppose -y = 3*g + 3*y - 30, -g - 3*y = -15. Calculate the remainder when j(g) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 0.5 (c) -41 (d) -150 (e) 0.03 (f) 0.1 (g) 0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1056 (base 7) to base 10\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85984, -171915, -257844, -343771, -429696, -515619, -601540?\nAnswer: -687459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 7. Suppose 4 = -4*o - 16, f*t - 35 = 5*o. Suppose 0 = k + 4*k. Solve -2*y + 6 + t = k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 3*c + w, c - 3*w = 3*c - 30. Suppose -c*n + 108 = -7*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 221223 to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(4\/5)*r)**(-13\/4)\/(r\/(r**(-2\/9)*r)*r)**18 assuming r is positive.\nAnswer: r**(-311\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 535 and 67704464.\nAnswer: 338522320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04 - -1.96. Let p = 4.959 + 0.041. Let g = 4.5 - p. Which is the closest to j? (a) g (b) 1\/2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(4)*-5 + sqrt(245) + -2)**2.\nAnswer: -8*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**7\/2520 - u**4\/2 + 9*u. Let o(y) be the third derivative of d(y). Let q(k) = -2*k. Determine o(q(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 - -416?\nAnswer: 40a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-35) - 44\/7. Let p be 42\/15 + o\/2. Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 35 = 3*l. Let h = 961\/518 + 8\/37. Find the common denominator of 7\/4*(-99)\/l and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(3\/2)*m*(m*((m*m**(3\/2)*m)\/m)\/m)\/m)\/(m*m*m**1\/m*m*m**(2\/7)))\/((m**0)**(-28\/9)*m\/m**5*m*(m*m\/((m**4*m)\/m))\/m) assuming m is positive.\nAnswer: m**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -22597281429 plus -4947?\nAnswer: -22597286376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 80, 52, 24, -4, -32?\n\"Answer: -28*z + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173788 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - -41) + ((-75)\/(-900))\/((-4)\/222)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 37*s**3 + 9*s**2 - 21*s + 15. Let z be b(9). Let v be 1\/2 - z\/(-48). Let d = -404 + v. List the prime factors of d.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, 9, 3\/5 in ascending order.\nAnswer: 0.07, 3\/5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1092 + 1092.3. What is the nearest to -1 in p, 76, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 268817, 268813, 268809, 268805?\nAnswer: 268801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + 3*n + n - 3*n + 6*n - n + (7 + 2 - 4)*(n - n - n) - 3 + 3 - 2*n - 2*n + 2*n - 2*n + (-4 + 1 + 2)*(3*n + 0*n - 4*n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 577 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, f: 1, p: 1}. Give prob of picking 2 y.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -19.135 from 0.1.\nAnswer: 19.235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 5*m + 100. List the prime factors of (4 - 3)*m\/(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 19. Let n(y) = 13*y**2 + 5*y**2 - 21*y**2 + 5*y**2 + p*y. Let v(z) = -3*z. Calculate n(v(j)).\nAnswer: 18*j**2 - 21*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3. Let x(k) = 6*k**3 - 7*k**2 - 13. Let h(p) = 3*j(p) - x(p). Let t(u) = -11 - 5*u**3 + 9 + 9 + 4*u**2. Calculate 6*h(s) - 11*t(s).\nAnswer: s**3 - 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a + 7207 - 7387. Calculate the greatest common divisor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 832314 is divided by 1070.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -973.312 + 973.37199995. Let r = 26.06 + -26. Let d = j - r. Round d to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-four fifths of a decade?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 14*t + 56 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 941.431 to the nearest integer.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9299*b - 55 = -5*w + 9298*b, -3*w = -2*b - 20 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**6\/120 - b**5\/20 + b**4\/6 - b**3 + 13*b**2. Let q = 7 - 3. What are the prime factors of f(q)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 8:25 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2056 and 4033568.\nAnswer: 1036626976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -72*y**2 + 1019920*y - 772044129 wrt y?\nAnswer: -144*y + 1019920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678605?\nAnswer: 5, 135721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 338.129 microseconds?\nAnswer: 0.338129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 + 149. Suppose u - 95 = 2*g. Calculate the highest common divisor of g and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 135*h - 162*h + 0*h**2 + 6*h**3 + 0*h**2 wrt h.\nAnswer: 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001210531915 rounded to 7 decimal places?\nAnswer: 0.0000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*r = 17*r - 39*r - 51*r + 324 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -21. Let b be 1 + (30\/z)\/2. What is the closest to -2 in -4, 3\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (495\/(-126))\/(58\/(-812)). Solve -14*m + z = -15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i, o + 3 = -3*i - 0. Let j = -9 - -9.3. What is the closest to -1 in o, j, 1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2425*z**3 - z**2 + 3*z - 1. Let v be u(1). Suppose 2*r = -4*k + 3166, -5*k = 2*r - 1531 - v. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 + 2*z**4 - 2*z**3)*(-29 - 293 - 44 - 14).\nAnswer: -760*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 - 4*r + 3. Let a be k(2). Let d(t) = 1 + a*t - t - 1. Let u(n) be the second derivative of n**4\/2 + 16*n. Give u(d(l)).\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5121, 9156, 13165, 17148, 21105, 25036?\nAnswer: 28941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -210 + 210 + 3*r**4 + (2*r + 10*r + 7*r)*(0*r**3 + 4*r**3 - 2*r**3).\nAnswer: 41*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10656 - 18 - 2279 + 17903 + 6455 - 3*z)*(4 - 2 + 0).\nAnswer: -6*z + 65434","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 324.91 rounded to zero dps?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -16 - 12 - 2*o + 7. Let l be b(-11). Solve 3*j + l - 4 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from jayyhjyjhyhjjj?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (55 + -44 - -43).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/sqrt(396) + (-1*sqrt(343) - sqrt(7)).\nAnswer: -47*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -19*r**2 + 16*r - 19. Let j(o) = -8*o**2 + 8*o - 9. Let q(v) = 5*j(v) - 2*u(v). Calculate q(6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 + 0*i**3 + i**2 + 179*i + 6*i**4 - 88*i + 4 - 89*i as c*i**3 + s + m*i + g*i**4 + p*i**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -4\/7, 2, -2 in decreasing order.\nAnswer: 2, 2\/7, -4\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 63*l. Let n(p) = -127*p. What is -7*m(y) - 4*n(y)?\nAnswer: 67*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -5)*102\/(-24). Let l = r - -12. Let t = 10.2 + -10.4. Which is the second biggest value? (a) l (b) t (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3570 + -3573. Sort -2, t, 12, 3, 0 in decreasing order.\nAnswer: 12, 3, 0, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 - 199*j - 53 + 107 + 209*j - 503*j.\nAnswer: -493*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31571665 + -4?\nAnswer: -31571671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, -0.2, 5, -9 in descending order.\nAnswer: 6, 5, -0.2, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 12:28 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-264)\/44*(-18)\/(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 295 = 3*p - 5*f, 244 = 4*p + 4*f. What is the highest common divisor of 90 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(72) + sqrt(72)*-5 + 5)**2.\nAnswer: -240*sqrt(2) + 1175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - (-55 + 24)) + 5 + -23.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/8 of a gram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3309\/4 - 824. What is the closest to -0.2 in 2\/17, v, 0.2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 736285222 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + -1)*156\/(-20). Suppose i = -c + 4*c. Suppose 4*z - z + 11 = -4*k, 1 = -4*k - z. Solve c - k = 4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -351 in -4, -7\/2, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7*-0.067\nAnswer: -0.469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.985265 to three dps.\nAnswer: 1.985","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5 or 1414?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 9 - (17 - 28 - (19 + -177 + 17))?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 547193 to the power of 1\/2, to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -2*t + 2*n - 37, 5*n = -5*t + 30 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bp when two letters picked without replacement from bebdepe.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a**3 + 24*a**2 - 5*a - 27. Let f(t) = -4*t**3 - 23*t**2 + 4*t + 27. Let n(l) = 5*d(l) + 6*f(l). Let b be n(18). Solve -2*g + 11 = b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 287*d = 283*d - 16, 0 = -4*w + 2*w - 24*d - 184 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.0646 to the nearest integer.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 735+3154754023\nAnswer: 3154754758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-4*((-3*sqrt(931) + sqrt(931))*-3 + -3) + 1)**2 + 2.\nAnswer: -35280*sqrt(19) + 4827531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1673 is divided by 272?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -23*p - 65. Let u(f) = -35*f - 97. Let v(q) = 8*c(q) - 5*u(q). Is v(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0471 + -9.\nAnswer: -8.9529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2600)\/390*(-30)\/(-80).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8361901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 883 is divided by 816?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 12, -z - 5*p = -2*z + 23. Differentiate z*r + 4*r - 7*r + 1 - 2*r**4 wrt r.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1118, 2108, 3100, 4094, 5090, 6088?\n\"Answer: p**2 + 987*p + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605) - (sqrt(605)*2)**2*6.\nAnswer: -14520 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3244524 and 387200.\nAnswer: -2857324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 5 + 1 + -5. Suppose -5*h + 0 - 5 = -3*q, q - 4*h - 11 = a. Calculate the remainder when 81 is divided by (q + (-8)\/(-2))*-28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/93 and 35\/341.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/8 (b) 26 (c) -5\/4 (d) 4 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36750 and 3139500.\nAnswer: 21976500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1972*z**2 + z + 987*z**2 + 70 - 2*z**4 + 983*z**2 as t + q*z**2 + y*z + h*z**4 + n*z**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 5*s + 31, -v + 17 = s + 2*s. Suppose -v*j = 8, 2*h - 16 = 6*j - 2*j. Suppose -6 = -3*n - h*n. Calculate the remainder when 6 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 244480.\nAnswer: 244480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4149 - 20622\/5. Which is smaller: 25 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(288 + 49*z - 288).\nAnswer: -98*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86078 is divided by 143?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 654 and 968574.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -1 + 0 + 0*j + 2*j + 3 - j**3. Let s = 7 - 9. Calculate r(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 10 = -4*d, -2*d + 20 = 3*d. Calculate the least common multiple of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 791949370?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 2*p - 5*p)*(0*p - p + 0*p)*(3 - 3 - 2*p + (-4 - 2 + 4)*(p + 2*p + 0*p)).\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -308711 - 1106589. What is b rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 8*s)*(-1 - 3 + 2)*(4*s - s - 5*s)*(-s - 4*s + 4*s) to the form y + q*s + a*s**3 + u*s**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 6:00 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zp when two letters picked without replacement from {f: 1, z: 1, s: 3, p: 1, b: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 16*f - 12*f - 24, 2*f - 19 = 3*d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5*y + 1801 = -1782, -2422 = -2*t + 5*y. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*i = 2361, i + 766 + 1011 = 3*c. Let x = 1310 - c. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5*n**2 + 2\/5*n**3 + 16\/5 - 6*n.\nAnswer: 2*(n - 1)**2*(n + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*c + 1512 = -851 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445*m - 654*m + 2531*m - 633*m - 155*m.\nAnswer: 1534*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 107 - 92 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-1))\/((-1)\/1). Suppose -5*i = -3*d + 64, 0*d + 4*d - 5*i - 82 = s. Suppose d = 3*x - x. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 559c - -5?\nAnswer: 55a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from qnnqnqnnznzzzn.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 4. Let i(w) = 3*w + 11. Let s(d) = -2*i(d) + 7*l(d). What is s(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**3 - 171*f**2 - 125*f - 51 wrt f.\nAnswer: 6*f - 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027200 divided by -10272?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = -2*g - 3*z + 5, g = -4*z + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nw when two letters picked without replacement from nnnnnnwwnnnnnnnwnn.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 9*k + 17. Determine v(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**2 + 0*p + 2*p + 4*p**2. Is k(-2) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r**(5\/4)\/r*r))*(r\/(r**2*r))\/r)\/((r*r**9)\/((r*r**(-11)*r)\/r)) assuming r is positive.\nAnswer: r**(-83\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 3*y**5\/25 + 141*y**4\/20 - y**3\/5 - 141*y**2\/10 - 3521. Let x(c) = 0. What is c?\nAnswer: -47, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -13\/2*i**2 + 0*i**4 + 0*i**5 - 6 - 4*i + 7\/6*i**6 + 0*i**3. What is the first derivative of r(k) wrt k?\nAnswer: 140*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*g - 2 = 3*j, 0 = 5*j - 3*g - 10. Suppose q = j*n + 73, 3*q = -q + n + 320. Let v = q + 39. Is 42 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -79*t**6\/2 - 117*t**2 + 129. Find the second derivative of i(b) wrt b.\nAnswer: -4740*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 h, and 1 x when three letters picked without replacement from {h: 1, x: 4, n: 5, a: 1, v: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**2 - 1393527*f + 20903580 = 0 for f.\nAnswer: -464524, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a - 2. Let v be m(2). Let o(x) = 12*x - 7. Calculate the remainder when o(v) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14, 39, 88, 167, 282, 439, 644, 903?\n\"Answer: a**3 + 6*a**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/10)\/(-1) + 5574\/(-4645))\/(2\/(-104)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 29*x**2 + 97*x + 64. Give h(-32).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 1337006.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 197157 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a = 3248 - 3616 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 987891*6.\nAnswer: 5927346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (-252)\/(-30))*(-30)\/9?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93984.58 centuries in months?\nAnswer: 112781496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -33*q + 233900. Let w be t(0). What is w rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4*c + 46*c**2 - 52*c**2 - 2*c**3 - 4*c = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51768?\nAnswer: 2, 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*s - 3 - 7 = 0, 3*v - 4*s = 15. What is the third derivative of k**2 - 545*k**4 - 5*k**5 - 4*k**v + 546*k**4 - 2 wrt k?\nAnswer: -540*k**2 + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, d: 1, n: 4, v: 6}. What is prob of sequence no?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q + 25*q - 13*q - 7*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -5*n - 16. Calculate j(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -11*r. Let i(y) be the second derivative of -1\/12*y**4 + 0*y**3 - 5*y + 0*y**2 + 0. Calculate q(i(b)).\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85 and 799.\nAnswer: 3995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/3)*d*d*d*d**3\/d*d)\/((d*d**(2\/7))\/(d**(-2\/17)\/d)))**(-3) assuming d is positive.\nAnswer: d**(-1165\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -3005.5583 to the nearest 100.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeejeeeeoeeoxe. What is prob of sequence jo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7641345?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*y + 18. Calculate the smallest common multiple of y and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 277*c - 119116. Calculate v(430).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10 times 2576\nAnswer: -25760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 10. Let r(k) = -k - 3. Let l be r(u). Let f(t) = -t**3 - t**2 + 2*t. Determine f(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126 divided by 94.\nAnswer: -63\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 7*t + 6. Let v be (-1)\/(-3)*9 - t. Solve -3*z - 5 = v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 7. Suppose -5 = 2*w + 3*d - 1, r*d = -w + 3. What is the common denominator of w and ((-1)\/(-2))\/((-1)\/33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 2. Let p(r) = r**3 + 3*r**2 + r - 2. Let u be p(-3). Let d be z(u). Suppose 2*s + d + 1 = 0. Is -1\/2 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kuukuuuuuukukukuuuk. Give prob of sequence kkku.\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*3\/(-6) + -3. Is 50 - (-3 - l)\/(-1) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*r + 99*r = 14988. What are the prime factors of r?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1108574*f**2*v**2 - 6*f**2*x**3 + 3*f**2 - f*v**2*x - 2*v**2*x**2 - 2*v**2 - 108773*x**3 wrt x?\nAnswer: -36*f**2*x - 4*v**2 - 652638*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 5*y**2 - 4 - 180*y + 197*y to the form s*y + u + d*y**2 and give s.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3\/u)**12 assuming u is positive.\nAnswer: u**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1758, 1468, -2924, -13470, -32222, -61232, -102552, -158234?\n\"Answer: -342*i**3 + i**2 + 2101*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 128370 and 18.\nAnswer: 385110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*d + 10*d**4 + 96*d**3 + 3*d**5 + 8*d**4 - 201*d**3 + 103*d**3 - 4*d**2 wrt d.\nAnswer: 180*d**2 + 432*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*d, 0*d + 7 = -2*q + 3*d. Let h(k) = 20*k - 9. Is h(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 + -0.18. What is the third smallest value in -3\/13, -1.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 16. Let a be 6\/c - 31\/(-40). What is the closest to -1 in -6, a, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - 4*1*sqrt(114))\/(-3*sqrt(600) - sqrt(6)))**2.\nAnswer: 171\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 10*o**3\/3 + 3. Let z = -157 - -156. What is v(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 10. Let c(z) = z + 3*z - z - 2*z - 9. Let v(l) = 4*c(l) - 3*f(l). Let d be (-1 - 0 - -6)\/1. Give v(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((0 + sqrt(108))**2*6 - (sqrt(6)\/sqrt(2)*2 + -4)) + -2.\nAnswer: -12*sqrt(3) + 3910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6\/5 (b) 0 (c) -34 (d) -0.231\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 14)\/(3 - 1). Let q(u) = u**3 + 5*u**2 - 3*u - 11. Let o be q(c). Solve -2*x - 16 = 4*i, o*i - x = 3*i - 7 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3034.6 to the nearest one hundred.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4060287853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573)*-2 + -2 + (sqrt(1573) + 0 + sqrt(1573))**2 + -1 - (0 + -5*-2*sqrt(13) + (3 + sqrt(468))**2).\nAnswer: -68*sqrt(13) + 5812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - -5) + (-59 - -3 - -17).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**5\/20 - 123*m**2. Let d(k) = 68*k**2 - 205*k**2 + 63*k**2 + 73*k**2. Calculate d(z(s)).\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -102635767 at least as big as -102635768?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.14948 and -1681.\nAnswer: 251.27588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 3*z**2 - 18*z + 24 = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 377 and 46371.\nAnswer: 46371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u. Suppose 0 = -4*o + 14 + 6. Let y(r) = -o*r + 4*r + 0*r. Let h(z) = 2*z. Let l(x) = -h(x) - y(x). Calculate l(g(k)).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -497 divided by 96.\nAnswer: -497\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 4 - ((-14 - -3) + 6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 470 and 1080?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 319*d - 8. Let a(g) = 106*g - 3. Let i(q) = -11*a(q) + 4*j(q). Is i(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3 + 24*a**3 + 0*a**3 + 2*a + 0 - 8*a - 2. Determine q(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.875 rounded to one dp?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -7*v**3 + 2*v**2 - 6*v + 5. Let l be b(1). Let o be (-4 - (-28)\/8)*l. Solve a = o*a + 5*k - 35, -k = 2*a - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17*51589647\nAnswer: -877023999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 130 - 60. Suppose q = -5*p + 175. Suppose -5*n + 6 - p = 0. Which is the second biggest value? (a) -0.2 (b) n (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*d = 5. Let w(k) = k + 9. Let f be w(-7). Suppose 2*b - 2*n - 16 = 0, 0 = 3*b - f*n + n - 24. Calculate the remainder when b is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9859149*b**4 - 13*b**2 - 215034000 wrt b.\nAnswer: -39436596*b**3 - 26*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 16*g**2 - 158*g + 1232. Let o be a(8). Calculate the greatest common factor of 7688 and o.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 192413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) 10095656\/3 (b) -2\/7 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -2 + -40 + 33?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -300?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 3\/8*m**4 - 14 + 3*m**2 + 0*m + 0*m**3. Let f(q) = 4*q + 14. Let c(h) = h + 3. Let u(w) = -14*c(w) + 3*f(w). What is u(n(k))?\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -9*m**3 + m**2 - 4*m - 3. Let t(u) = -u**3 + u + 1. Let s(k) = 3*t(k) + v(k). Let w be s(1). Let d = w + 22. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -137.\nAnswer: -3\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by -256095.\nAnswer: -1\/7317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**4\/4 - 759*p**3\/2 - 28089*p**2\/4 - 27183*p + 34584 = 0?\nAnswer: -11, -8, 1, 524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -1.4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 - 0.1. Let s = -6.1 + 1.1. Let h be 41\/8 - (-11)\/(-88). What is the third biggest value in s, c, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*z - 5*x = -5, 0 = -2*z + x + 11. Suppose z*f - 40 = t, 3*f - 2*t - 30 = -6*t. Suppose j - f = 6*j. Sort 3, j, 2 in descending order.\nAnswer: 3, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1736*c**2*d**2 + c**2*d - 54*d**2 + 75*d wrt c?\nAnswer: 3472*c*d**2 + 2*c*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 13 + (0 - 24\/6). Solve 32 = 6*v + f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1456, -5832, -13126, -23338, -36468, -52516, -71482?\n\"Answer: -1459*x**2 + x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -115 - -463\/4. Let r = 287 - 310.4. Let v = r + 23.5. Which is the nearest to v? (a) w (b) -1\/5 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8026 - 8263. Which is bigger: i or -240?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4 + 8, 2*o - 44 = 4*n. Let h = 2956.3 + -2956. What is the second biggest value in -0.2, h, n, -2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/7, 455, 3\/8, -25?\nAnswer: 455","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -0.0975.\nAnswer: 0.4875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10614 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x - 2*x + 5*x + (-3 + 2 + 0)*(-4*x + 2*x - 5*x) + 4 - 4 - x - 18*x + x + 5*x to r*x + i and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2415699 and 1287.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1.1, 12, -1, -3.3, 119 in decreasing order.\nAnswer: 119, 12, -0.3, -1, -1.1, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 - (11 - 12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((((-105)\/(-16))\/7)\/((-747)\/(-332)))\/((-175)\/(-56)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28266 = 4*b + 2*k, -2*b = -5*k - 14201 + 98. Calculate the remainder when b is divided by 157.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 28 - 2 = 0. Suppose -d*g - 8*g = -39. Suppose -5*a + g + 17 = 0. Solve y = -a*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from xzymmmxfxfyymoffmf?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 587*b - 503496 = 101*b. What is the highest common factor of 15799 and b?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 2*o**2 + 0 - 1\/6*o**4 + 3*o - 2\/15*o**5 - 1\/3*o**3 - 1\/120*o**6. Let n(l) = l - 15. Let f be n(8). Give d(f).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3961 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -594*c + 4206. Let d be f(7). Suppose 142 = 3*r + s, 5*s - 34 - 18 = -r. Is d smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-12)*3*-17 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2451*a**2 - 13047 + 13047)*(-a - a + 3*a).\nAnswer: -2451*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -56 - 0?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 150*p**3 + 531*p**3 + 0.\nAnswer: 381*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 379.0672 milligrams?\nAnswer: 379067200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (852\/(-15))\/((-10)\/25). Suppose -s = -x - 26. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 - h. Let q be c(1). Determine t, given that 0 - 1\/4*t**4 + t + 5\/4*t**3 - q*t**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0853805 rounded to 3 decimal places?\nAnswer: -0.085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 14. Let z be (-3)\/b*(-4)\/3. Let o = -0.3 + 1.3. What is the closest to z in o, 0.1, 4\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 880*l + 6497. What is the tens digit of g(92)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 30*d + 134. Let v be r(34). What is the closest to v in -2\/9, -4\/5, 0.2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**5\/60 - m**4\/3 + m**3\/2 - 35*m**2. Let u(a) = -a**3 - 9*a**2 + 9*a - 2. Let n be u(-10). Determine g(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 283, 603, 923, 1243, 1563?\n\"Answer: 320*v - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/18)\/(21\/(-12)) + 94016\/672. Which is smaller: x or 183?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171526807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, 253, 1\/4, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 2*z + 2. Let l be v(2). Let s(i) = -7*i + 12242*i**2 - 4080*i**2 - 4080*i**2 - 2 - i**3 - 4075*i**2. Calculate s(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122 - -40. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r + 46 = -19. Let m(p) = 3*p**2 + 15*p + 30. Suppose 0 = 2*b + 2, -11 + 81 = 2*h - 4*b. Calculate the smallest common multiple of m(r) and h.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**3 - 2019*x**2 - 340704*x - 338688 = 0. What is x?\nAnswer: -336, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -5*p + 362 - 355, 1 = -3*a + 5*p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g - 3. Let s be m(-5). Suppose -y - 3*o = s*o - 26, -o - 30 = -2*y. Calculate the remainder when 63 is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8494 * 5.\nAnswer: -9.247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 594148033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - (1*sqrt(1331)*1 + sqrt(1331)))**2.\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -3. Let p = 7 - 7.3. Which is the nearest to -0.1? (a) p (b) 0.3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (2 - 8)\/(-6)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + -1 - (49 - 39)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 46*h - 43*h - 1, -5*z - 4*h = 40 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2 + 4, 2*l + 2*x - 18 = 0. Let s = l + -6. What is the units digit of s - (-2)\/6*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 5*r - 43, m - 19 = -2*r - 2*m. Let u be 1\/(3 - 23\/r). Suppose -2*l + 14 = -u*f + 4*f, 2*f = 6. Calculate the remainder when 50 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y**3 + y**2 - y. Let z be d(1). Is 15 a factor of (-2 + (z - -1))*(-75)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + 98. Let i = -185 + d. Let y = i + 68.99999971. Round y to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 49 = 3*o + 2*o - 56, l + 174*o - 597 = 137*o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 1705*d**3 + d**2 - 1698*d**3 + 3402*d**3 + 28*d in the form m*d**2 + z*d**3 + a*d + i and give a.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -26*g**2 - 11*g + 24. Let u be o(3). Let y be 150\/(-2)*90\/u. Factor -50\/3*v - 10\/3*v**2 - y - 2\/9*v**3.\nAnswer: -2*(v + 5)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-12)*-6*(-1)\/14.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74371 divided by -27.\nAnswer: 74371\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 998, 1997, 2996, 3995?\nAnswer: 4994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -493 = -491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*c - 32*c = 40. Calculate the least common multiple of c and 34.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208371891.\nAnswer: 3, 7, 13, 763267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 358*k**2 - 25*k - 2. What are the prime factors of m(-4)?\nAnswer: 2, 3, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 839*b - 755*b**5 - 2 - 3108*b**4 + 3108*b**4 wrt b?\nAnswer: -15100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**4 + 2*l**2 - 305*l + 1 wrt l.\nAnswer: 24*l**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-60)\/18 + 3)*2. Let i = -167 + 1505\/9. Which is the closest to l? (a) i (b) -1\/4 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 6322 = -3*w. Let y = -34827\/11 + w. Find the common denominator of 20\/3 and y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 385*k + 4251. Let q be c(-11). What is the third biggest value in q, -3\/53, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7329, 7924, 8923, 10332, 12157, 14404?\n\"Answer: n**3 + 196*n**2 + 7132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -132339*k**2. Let a(z) = -29*z. Give a(n(i)).\nAnswer: 3837831*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3242 is divided by 642.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 2:52 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1045256 is divided by 123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**7\/35 + 5*j**3\/6 + 5*j**2. Differentiate p(v) with respect to v.\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -969*g - 340 = -989*g for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -x**9\/1512 + x**5\/120 - 2*x**3 + 8. Let q(n) be the third derivative of r(n). What is the second derivative of q(l) wrt l?\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 1.21688?\nAnswer: 1.21688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 12 = 2*f, 0 = 5*z - 2*f + 91. Let l be (0 - 4)\/(z - (4 - 7)). Solve -m - l - 3\/7*m**2 = 0.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7625 (base 12) in base 8?\nAnswer: -31275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/p**(1\/16)*p**(3\/8) assuming p is positive.\nAnswer: p**(37\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 14*j**2 + 12*j + 10. Let u be r(13). Let c be 68\/24 - -1*u\/(-6). Suppose 8\/3*a**2 - 2\/3*a**3 + 4\/3 - c*a = 0. Calculate a.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(1 + 13 - 7)*(2*f - f + 2*f)*(15*f**4 + 4*f**4 - 8*f**4).\nAnswer: 231*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 17 = a, 4*h - 6*a = -a + 21. Find the second derivative of -32*n + 7*n**h + 22*n + 4 - 4 wrt n.\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4062912 divided by -2\nAnswer: -2031456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 156.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2 + (sqrt(288) + 1 - sqrt(288)))*-2)**2 - ((sqrt(288) + 1)*-3 + -4 + 5)**2.\nAnswer: -2496 - 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -349, -4, 3 in decreasing order.\nAnswer: 3, -4, -349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 29*z**2 - z + 2. Give x(-29).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44280, -87698, -131116, -174534, -217952, -261370?\nAnswer: -304788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-8*(-31)\/558 + (-92)\/126)\/(-2))\/(-1)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3\/32675, 0, -3, 1\/9 in decreasing order.\nAnswer: 1\/9, 0, -3\/32675, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 take away 32526?\nAnswer: -32525.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -78*r - 130. Let i be p(-4). Solve -i*o + 171*o = 44 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 - (-1 - 72\/2). Let a be (-1)\/2*0\/(-3). Suppose a = 5*r + r - 48. Calculate the highest common factor of r and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1274))\/(-2*sqrt(288) + sqrt(2)))**2.\nAnswer: 2548\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - -10. Let v = 61 - c. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003456794 to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8109794 divided by -98\nAnswer: -82753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 570 divide 268653540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 83*u + 13553. Is 52 a factor of l(-102)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43343 - 14301?\nAnswer: 24042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 1404007?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -905 (c) -0.3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5493626264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -1. Suppose l = i - 2. Suppose -c = -l*c + 52. What is the highest common factor of c and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130 and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 122895 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*h + 2 = -79 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 588 is divided by 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 1\/((-3)\/(-84)). Suppose p = 2*v + 8. Calculate the greatest common factor of v and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.001*-0.38.\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 10:35 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**2\/9 - 22*i\/3 - 64\/9 = 0.\nAnswer: -32, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/2 (b) 548005 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 k when four letters picked without replacement from {k: 3, h: 13}?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 7*w**4 - 15*w**3 + 19*w**2 - 9*w + 2. Let f(s) = 51*s**4 - 105*s**3 + 132*s**2 - 63*s + 15. Let h(r) = 2*f(r) - 15*g(r). Let h(m) = 0. What is m?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - q - 56, -7 = r + 2*q - 14. Suppose 0 = -2*x + 5*g + 31, 1 + r = x - 3*g. Solve 6 + 10 = 3*f + 4*i, 0 = -x*f - 2*i + 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -223? (a) -86 (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 5. Let b be 237\/27 + s\/(-27). What is the greatest common factor of b and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -990*q = -1007*q - 170 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -191*u**2 + 44313*u - 226. What is w(232)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 698 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/(-8) + 4\/(-16) + -2. Let z = w - -4. Is -2\/31 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.2 and -13607.6.\nAnswer: -13608.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-21) + (-5)\/35\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xsq when three letters picked without replacement from {q: 1, h: 3, s: 5, x: 1}.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 u, and 1 g when three letters picked without replacement from gguhhggvhhgguuu?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**2\/2 - 5*v - 76. What is d(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 9\/2*n + 1\/2*n**3 + 3*n**2 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*y = 3. Suppose p - 5*s + 5 = 6*p, 0 = y*p + 2*s - 7. Suppose 0 = -0*l + 2*l - 10, 25 = 5*j + p*l. Are j and 0 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-3) - 738220\/(-6). Suppose -5*d - 450413 = 414767. Let s = d + f. What is s rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1063976*r**3 + 3*r**2 - 102961*r.\nAnswer: 6383856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (6*2\/126)\/(46\/161)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/3)\/((-19)\/6). Let o = 0.8 + -1.3. Sort o, a, 0.4 in decreasing order.\nAnswer: 0.4, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 0*g - 20*g**3 + 6*g**2 + 3 - 21\/5*g**5 + 69\/4*g**4. Let c(m) = 0. Calculate m.\nAnswer: 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -204\/5*i - 3\/5*i**2 + 207\/5.\nAnswer: -3*(i - 1)*(i + 69)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 9*x**2 + x - 4. Suppose 13*k = 17*k - 36. Let c be m(k). Suppose 14 = c*p - 6. Calculate the highest common factor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23454 - -4613?\nAnswer: 31400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(36\/15)*2340\/225?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/10 + 12\/(-10). Let w = 97 - 387\/4. Let u(l) = 2*l**2 + 1. Let t be u(1). Which is the closest to 1\/2? (a) w (b) g (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33238639.\nAnswer: 7, 4748377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-5) - 151126\/(-3895)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.31648 - -66.29338. Let w = m + -66. Round w to 3 decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 76\/18 + (-2)\/(-9)*-1. Solve 0 = -5*o + 6 + i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/((-153)\/17)*3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10553947 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tj when two letters picked without replacement from jdjjtttjfdjjjtjfjt?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/18*-2*-2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**5 - 7*z**3\/3 + 8. Find the third derivative of b(c) wrt c.\nAnswer: -120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.6 + 1.1. Let x = 1.53 + p. Let l = -0.33 + x. Which is the nearest to -1\/4? (a) -4 (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -210 - -212. Solve h = -5*r + 27 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 4\/3, -0.3, -5, 10.7897 in ascending order.\nAnswer: -5, -0.4, -0.3, 4\/3, 10.7897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -14*s + 43*s - 19*s - 17*s + 7 - s**2 + s**3. Let d be t(3). Solve -12 = d*k + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 20. Let y = 127 + -122. Let h = 9 + -12. What is the nearest to h in 1\/7, v, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 27*k**2 + 58*k + 25. Determine r(29).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 20 = -0*b. Let m = -25 - -7. Let k = 76 + m. What is the remainder when k is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 2*l - 2*l)*(5*l + 3*l - 2*l)*(8 + 29 - 20) - l + l - 2*l**2.\nAnswer: -206*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 bigger than -5241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2694.5 rounded to the nearest one hundred?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -29\/552 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 21. Suppose -2*y - j + 17 = 0, -y + 10 = 4*j - 2*j. What is the smallest common multiple of i and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 + 1. Is (q\/(-75) - (-22)\/(-6)) + 4892 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -302 times -34388?\nAnswer: 10385176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -41 + 2*j + 43 - 193 + j in the form a*j + v and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -33*(1 - (1 + -1)). Let n = z - 11. Let t = -31 - n. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**2 + 71905*a - 71906 = 0.\nAnswer: -71906, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21044 + 21039. Let q = 71\/6 + -5\/2. Let g = q - 128\/15. Sort g, -1\/4, s.\nAnswer: s, -1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 43*p**2 + 69*p - 503. What is the remainder when 8278 is divided by j(-41)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/16038 and 121\/18.\nAnswer: 16038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 3*a + 36 + 196, 5*a - 285 = 5*r. Let u = -57 - r. Let f be 6\/4 + 45\/(-10) - u. Sort f, -0.4, -1, -4\/5 in decreasing order.\nAnswer: -0.4, -4\/5, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v. Let l(h) be the third derivative of -7*h**4\/24 + 5*h**3\/3 + 26*h**2. Let q(n) = 3*n - 4. Let t(x) = -2*l(x) - 5*q(x). Give c(t(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -9. Which is the second biggest value? (a) -0.4 (b) -1\/2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r - 3. What is k(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6105 is divided by 1939.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.05 (b) 13691 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -b + 3102 + 1007. What is the highest common divisor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 274 - 256 = 2*p, -7 = 2*p - 3*v. Sort 2, p, 9, -3.\nAnswer: -3, 2, p, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5930177245 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -655 greater than or equal to -643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 - 8*m**3 - 28*m**2 - 16*m.\nAnswer: 4*m*(m - 4)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*m + 5*y, -5*y = -5*m + 41 - 1. Let u be (2 - 1)\/(m\/(-12)). Which is the closest to 2\/9? (a) u (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93727886 to the power of 1\/3, to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(84\/(-8))\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 309, 332, 353, 372, 389, 404?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3 and -69\/1358.\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + (-5 - (1685 + 7)). Let o = -550 - f. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 12161 = -4*h, 12*r - 5*h = 11*r + 2409. Is r 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 1191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58\/5635 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 432, 933, 1582, 2349, 3204, 4117, 5058?\nAnswer: 5997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(78\/(-27)))\/(6\/8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36 * -231108.\nAnswer: 8319888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 + -51 + (19 - -12).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**2 - 3224*w = 0. What is w?\nAnswer: 0, 806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 753 or 752?\nAnswer: 753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = u - 2, 2*c = u - 2*c - 5. Let z be 20*(-6)\/(-24) - 15. Sort z, 5, u in decreasing order.\nAnswer: 5, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9853 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**4\/15 - 1904*b**3\/5 - 4058762*b**2\/15 + 1358636*b\/5 + 1625792\/3 = 0. What is b?\nAnswer: -1520, -1337, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 18, 2, -47, -1\/5 in descending order.\nAnswer: 18, 2, -1\/5, -3, -47","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5 + 1. Find the second derivative of -2 + 2 + 2*v - 2*v**t - v**2 wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 135 + 21*c**2 - 137 + 49*c**2 + (0 - 5 + 3)*(c**2 - c**2 + c**2) + 0*c**2 - 3*c**2 + 5*c**2 to w*c**2 + z*c + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1355, 1863, 2403, 2987, 3627, 4335?\n\"Answer: 2*g**3 + 4*g**2 + 482*g + 867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -64341575 and -78203.\nAnswer: -64419778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 1 = 3*t. Let s be ((3 + -2)*0)\/2. Solve -m = -s*m + t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5762, 5798, 5856, 5948, 6086, 6282, 6548, 6896?\nAnswer: 7338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/11 in -5, 53\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1\/8))**13)**30)**(-21) assuming y is positive.\nAnswer: y**(4095\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 18*b**2 + 84*b - 18. Give m(6).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202*h**2 - 35*h + 35*h.\nAnswer: -202*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(14\/2*-1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*-4*5\/(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3740 and 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*o + 5064 = 0, -5570 = -5*g + 4*o + 2861. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.392843 to three dps.\nAnswer: -1.393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -0.009, 1 in increasing order.\nAnswer: -1, -0.009, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 7. Let g be h + -2*(-22)\/(-4). Calculate the common denominator of (-94*g\/(-12))\/(-3) and -37\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40407 by -3.\nAnswer: -13469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -14039\/28784?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uauaa. What is prob of picking 2 a?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*o - 88 - 22 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 246.9 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -6*g - 12. What is the third derivative of -t**3 + 45*t**g + 95*t**2 + 0*t**3 - 57*t**4 wrt t?\nAnswer: -288*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (184*g + 558*g + 637*g)*(6*g**4 - 2*g**4 - 2*g**4 + 3*g**4 - 5*g**4 + 4*g**4 + (-3 + 3 + g**3)*(2*g + 0*g - 3*g)).\nAnswer: 4137*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t + 18 + 9 - 9.\nAnswer: -6*t + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 580 plus -0.49?\nAnswer: 579.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxii when four letters picked without replacement from xaiixxixiiaxixxxxxix.\nAnswer: 77\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*m**4*y + 94*m**3*y*z - 17*m*y - 6*m - 25*y*z wrt m?\nAnswer: 132*m**2*y + 564*m*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 323941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 + 11 = -7*t - 16 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3589235 a multiple of 1749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 38 and -21249?\nAnswer: -807462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a - 55845?\nAnswer: -55853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 0 + 5 - 20*z**2 as y*z**2 + c + n*z and give y.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/2)\/(-3))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -440 divided by -1?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i - 3205 = -3535 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -1 (c) -14 (d) 0.41 (e) 16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 19*b + 4. Let j(l) = -l - 1. Give -i(w) - 6*j(w).\nAnswer: -13*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1432, 1407, 1364, 1303, 1224, 1127?\nAnswer: 1012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 + 2169*z + 4350.\nAnswer: -3*(z - 725)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 8 + 8 + 7 - 9*u - 22. What is t(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.3769 + -7.3769. What is the smallest value in -1\/6, 18, 0, 2\/13, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 + 16*p - 403 + 403 - 16*p.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 + 2137*r**2 - 742752*r - 4533660.\nAnswer: -(r - 1698)*(r - 445)*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1229, 2449, 3669, 4889, 6109?\nAnswer: 7329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -941 = 93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 95 (c) -354\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.008, 3, -2\/21, -2\/13 in decreasing order.\nAnswer: 3, 0, -0.008, -2\/21, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44397 - -2245751.\nAnswer: 2201354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 67 = -173. Suppose 2*q + 26 = 2*d, q - a + 8 = -4*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*f - 617*f - 677*f)*(-f + 3*f + 0*f).\nAnswer: -2438*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -132122 (base 4) to base 8\nAnswer: -3632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.19 + 0.11. Let y = 0.02 - v. Let l = -17\/9 - -14\/9. What is the closest to y in 4, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 515240, 1030481, 1545722, 2060963, 2576204?\n\"Answer: 515241*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 15963.52916 to the nearest integer.\nAnswer: 15964","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 224405593831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6.9, -2, 0.41, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -414 + 582. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 10:56 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*x = 41 + 5815 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2 - 4*k + 1. Let g(j) = 9*j**2 - 8*j + 3. Let b(m) = -2*g(m) + 5*z(m). Is b(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5267 divided by -1767?\nAnswer: -5267\/1767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 473198*b**5 - 5*b**4 - 14976*b + 187.\nAnswer: 9463960*b**3 - 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-10)*7*(-5340)\/60342*339\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t = -13 + 20 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26875 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 97 = 3*u, u = 3*r - 0*u - 47. Let j = r + -19. Is j > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.71 + -0.09. Let u = 6 + n. Let v = u - -3.1. What is v rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1308723 is divided by 110?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 860 + -852. Let w(k) = k - 3. What is w(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2711 - -745. Factor -864*c**2 + 2*c**3 - 4*c**4 + 80*c**3 - 5184 + t*c + 14*c**3.\nAnswer: -4*(c - 6)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 17*y**2 + 17*y - 16. Let p be z(-18). Solve -p*c = -13 + 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3006 divide 4217043915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p - 3. Let i be u(3). What are the prime factors of (-3)\/i + (-20)\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -97 - -2 - (-3)\/3. Let t be u\/((-2 + 1)*2). Let n be (-1 - (0 + t))*29375. Round n to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 57*g - 480. What is the smallest common multiple of p(-45) and 165?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*h**4*u**2 + 6*h**4 - 2*h**2 + 6*h*u**2 + 11*h wrt h.\nAnswer: -120*h**2*u**2 + 72*h**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99081879 to the nearest integer?\nAnswer: 9954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -873114*x**3 - 2*x**2 + 503764*x wrt x.\nAnswer: -5238684*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-5.61669.\nAnswer: -2.808345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0058714kg to milligrams.\nAnswer: 5871.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 10:10 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*g**2 - 1 + 1 + (2*g**2 - 6*g**2 + 2*g**2)*(0 - 2 + 0) - 10682 + 190*g**2 + 10682 in the form t*g + r*g**2 + u and give r.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8101\/60 - 135. Let j(r) be the third derivative of 0 - 7\/24*r**4 - 7*r**2 + 0*r - m*r**5 - 1\/6*r**3. Give j(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 12:05 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*o - 2*o + 9 = 0, -2*l = 5*o + 23. Let a(b) = -1300001*b**3 + 2*b**2 - b. Let z be a(l). Round z to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**6\/6 + 15*k**5\/2 - 195*k**4\/4 - 1350*k**3 - 7290*k**2 + 862*k. Factor n(m).\nAnswer: -5*(m - 18)**2*(m + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -28*f + 239. Let x(r) = -25*r + 237. Let j(h) = 2*i(h) - 3*x(h). Let a be j(12). Which is smaller: a or -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/6)\/k)**35\/(k*k**(-2\/5))**(-1\/7) assuming k is positive.\nAnswer: k**(-8557\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1801 + 1803 - 13*p**3 - p**3.\nAnswer: -14*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/543 and 17\/48.\nAnswer: 8688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 151692?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10044275 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37585*i*q**2 - 2*i*q + i - 496*q**2 + 558*q + 1 wrt q.\nAnswer: -75170*i - 992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3594 and 0.101?\nAnswer: -362.994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b**2 - 184*b - 16. Let y(k) = -k**2 + 35*k + 3. What is 2*n(m) + 11*y(m)?\nAnswer: -m**2 + 17*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192264?\nAnswer: 2, 3, 8011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + s - 15. Let f be d(0). Let r be 2\/f*(-12)\/(-4). Is 0 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 5 + 3 + 2 - 9. Let v = 0 - 1. Let f(c) = 2*c**3 + 8*c**2 - 8. Calculate v*f(x) - 8*p(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-288)\/(-42))\/(-4))\/((-2)\/14).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 0 + (-1 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010001111111110010111111 + -11?\nAnswer: 1010010001111111110010111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**5\/60 - 5*g**4\/12 - 3*g**3\/2 + 9*g**2 + 4*g. Solve x(p) = 0.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92054115 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggjgggggj. What is prob of picking 3 g?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4766 = 7*b - 5*s, -5*s + 4746 = 2*b. What are the prime factors of b?\nAnswer: 2, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**4 - 2*c**4 - c**4 + c**4 + 0*c**3 + 0*c**3 + (2*c**3 - 5*c**3 + 2*c**3)*(0 - 2*c + 0) + 7 - c**4 - 7.\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.49073932 to 4 decimal places.\nAnswer: 13.4907","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g**2 + 29*g**2 - 38*g**2 - 61*g**2 + 31*g**2 + 24*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*z**3 + 46*z - 46*z.\nAnswer: 188*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*p + 16, 4*z = 3*z. Let a be 22\/55 - p\/(-10). Solve 0 = 3*l + 6, 4 = -2*c - a*l + l for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3639 + 1451962\/399. Let u = -4783\/1995 - z. Let f = u + 2. What is the closest to f in 0.4, 0, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 + 3896770*a + 23380440.\nAnswer: 5*(a + 6)*(a + 779348)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(187) - (sqrt(187) - (sqrt(187) + (1*sqrt(187) - sqrt(187))) - sqrt(187))))\/((sqrt(11) + sqrt(99))*-5).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 8:43 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-94)\/(-2)*6\/6. Let k = i + -22. Solve 0 = -o - 4*o + k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1597548 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 800 - 816.3. Round r to 0 dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 + 0.6. Let h be -3*9\/(-162)*(0 + 2). Which is the closest to f? (a) 0.3 (b) -5\/3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 1 + (-1 - 3 + 8)*(-5 - 4 - 7))*(-3*l**4 - 2*l**4 + 3*l**4).\nAnswer: 124*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8857 divided by -109?\nAnswer: 8857\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.902805 to 1 dp.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 - 2*m - 1. Let b(i) = -i - 6. Let t be b(-5). Let q be a(t). Solve -c - q*s = -0*s - 10, 0 = 3*s - 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 5 - 10*d + 23*d + 6 + 13. Let l be r(-12). Suppose q - 23 = 4*o, -l*q + o + 7 + 4 = 0. Solve 2*n + q = 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1. Let i = 1 + x. Let m(u) = u**2 - 15*u - 124. Let l be m(21). Sort 5, i, l in increasing order.\nAnswer: i, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**4 - 3065*w**3 - 57210*w**2 + 255220*w + 6183800 = 0?\nAnswer: -14, 10, 631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 84 = -10*z + 7*z, -140 = -5*a + z. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 419 and -120?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 3a?\nAnswer: -3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 272 * 0.061\nAnswer: 16.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3645 and 25005.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(3402)*5 + sqrt(3402)))\/(((sqrt(36) + sqrt(900))\/sqrt(6) + sqrt(6))*-3).\nAnswer: 54*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*w - 5*a, 4 = 2*w + 3*w + 2*a. Let b(d) = 9 + 19 - d**3 + 2*d + d**w - 3*d. Does 14 divide b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 20 = 0, 3*j - 9 = -2*i - 26 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1490, 2975, 4450, 5909, 7346, 8755, 10130, 11465?\nAnswer: 12754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 10. Let g = 27 + n. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22003 + -22001.4. Which is the nearest to 1? (a) 1\/4 (b) h (c) -20\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.33 + -46.13. Let x = -6.2 + t. Let a = x + 50.99988. Round a to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -375*h - 2358 + 483. Put h, -4, 29, -16 in descending order.\nAnswer: 29, -4, h, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*g + 44*g - 25 - 58*g - 6 - 9 in the form w*g + o and give o.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 77961380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 22 = -8*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 15\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 46344 = d + 46306, -2*d - 84 = -4*s for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 304 and 9500?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 1601*c**7\/42 - 2233*c**4\/12 + 2*c - 176. Find the third derivative of s(m) wrt m.\nAnswer: 96060*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4617 + 4617. Let h(y) be the third derivative of -5\/8*y**4 + 0*y**3 - 2*y**2 + r*y - 1\/40*y**6 + 0*y**5 + 0. Find the second derivative of h(v) wrt v.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-60)\/8)\/((-2)\/108). Let i be -2*(-3)\/6 + 4. Suppose q = 10*a - i*a. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 348*z + 8. Let f(i) = 345*i + 7. Calculate 7*f(o) - 6*n(o).\nAnswer: 327*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -115 - -236. What is the greatest common factor of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jtjj when four letters picked without replacement from ijtjjojt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 18\/16)*-2. Let r(q) = q**2 + 3*q - 15. Let u be r(-6). What is the closest to h in -2\/5, u, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1635009614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, s: 1, p: 2, o: 2, m: 1}. Give prob of picking 2 o and 2 e.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*a + 937 = -1721 - 762. Solve 85*l = a*l + 36 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*g + 26, 5*c + 7 = -4*g - 35. Let a = c - -14. Solve 1 - 1 + 6*m**2 - a*m**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/9 (b) -1\/5 (c) -1\/80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61398 = -4*x - 66*n + 69*n, 0 = -5*n - 30. What is the ten thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6780 + -2387. Suppose -24*n - x = -15817. What is the highest common factor of n and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 6*d + 3. Let v be a(6). Suppose -s + v = 10. Let p = s + 9. Solve -3*u + 2*y + 9 = -6, -5*u + 9 = p*y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(180)*2*6 + 3).\nAnswer: 9 + 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 2:09 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p**3 - p**2 - 2*p + 2. Let r be b(1). Find the third derivative of 10*z**2 - 6*z**2 + 18*z**2 - 17*z**r wrt z.\nAnswer: -1020*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 + 4*d + 4. Let q be i(-2). Let h = -10 - q. Find the third derivative of 36*g**2 + g**6 - 2*g**3 - 48*g**h + 2*g**3 wrt g.\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 h when three letters picked without replacement from ohooz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -176 divided by -259278\nAnswer: 88\/129639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 2. Let t be k(-5). Let p(y) = 1 + 2*y - t*y + 16*y. What is p(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -185 + 70613*r**2 - 70613*r**2 + 1013*r**3 wrt r.\nAnswer: 3039*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 4*f + 55, 260*c + 242*c + 27 = 498*c - 3*f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*b**2 - 25*b**3 - 6 - 3*b + 0*b**2 + 28*b**3.\nAnswer: 3*(b - 1)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 6*v - 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 152190.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 8294.\nAnswer: -3\/8294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66781599 and 2118.\nAnswer: 1059","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -107, 4 in descending order.\nAnswer: 4, -3, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1719, -3386, -5007, -6558, -8015, -9354, -10551?\n\"Answer: 4*t**3 - t**2 - 1692*t - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8680 - 34856 = 818*j for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 21*k**2 - 11*k + 2. Let a be d(-22). Is 34 a factor of (a\/9 - -4)*(-1 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 861788.9ml in litres?\nAnswer: 861.7889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a5 (base 11) in base 5?\nAnswer: -12322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*a - 7 - 43 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 3*u = 3*g + 756, 2*u + 4*g - 534 = 0. Let d = -165 + u. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a5c - -53b2?\nAnswer: 4754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/((-605)\/10)*12\/4. Which is greater: y or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63480*k**2 + 63385*k**2 + 63405*k**2 - 190254*k**2.\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1686404727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.007 * 0.1.\nAnswer: 1.9007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2794, -2526, -2096, -1510, -774, 106, 1124, 2274?\nAnswer: 3550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -414437*l**3 + 10*l**2 + 6977417*l?\nAnswer: -2486622*l + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 at most as big as 253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 16*y**2 + y - 10. Let z be b(-3). Suppose -11 = 10*c - z. Solve -14*m + c*m - 4 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 917351*y + 7338876. What is z(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/10, 26.723, 2\/19, 5 in ascending order.\nAnswer: -1\/10, 2\/19, 4, 5, 26.723","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269339 is divided by 269329?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33728?\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 1:03 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*((sqrt(130) - 5*sqrt(130))*-5 - sqrt(130) - sqrt(130)))\/(sqrt(640)*-1 + sqrt(10) + (sqrt(60)*5)\/sqrt(6) + sqrt(10)).\nAnswer: -360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 65 + -20 - (48 + -31)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/36 + (4224\/(-54))\/(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3 + -5*-5*(-2 + sqrt(325))*1)**2.\nAnswer: -12000*sqrt(13) + 205429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 4:56 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -65*y + 64*y - 3*o, y - o = 17. What is the greatest common factor of 1265 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2*i - 1 - 12, 3*i = 2*u - 22. Let q = u - 3. Let 1 + 3*v**q + 2 + 0 - 6 = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191306 = 115*b - 26*b - 281907. Is b a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) 0.3 (c) -0.2 (d) -32 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1 (b) 0.4 (c) 4 (d) 134\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 1\/6195262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 3*g + 602. Suppose 9*s = 184 + g. What is the highest common factor of s and 390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 2 - -1 - -1. Suppose 2*i - d = 667, -3*d + 0*d - 665 = -2*i. Let l = 4340\/13 - i. Which is the third biggest value? (a) v (b) -5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 129093 - -8681.3\nAnswer: 137774.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*a - 47*a + 3*s + 219, 3*s + 3 = 0. Suppose 4*q - 8 = 0, 3*q - 12 = 5*m + 2*q. Calculate the remainder when a is divided by 20 - m*3\/(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eevveevbeevveefvve. What is prob of picking 1 v, 1 b, and 1 f?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 127 = 2*b, -17*b = -4*z - 15*b + 80. Calculate the remainder when 1653 is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 + 25*c**2 - 8*c**2 - 9*c**2.\nAnswer: 2*c**3 + 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o - 5. Let u be r(5). Suppose u*t = 2*l + l + 4, -8 = 2*t + 2*l. Which is bigger: t or 3\/23?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334484 is divided by 7455?\nAnswer: 6464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 229262790?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b (base 12) to base 15.\nAnswer: 3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**5\/60 - s**4\/24 + 4*s**3\/3 - 5*s**2. What is the remainder when k(8) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 370824009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 7*n + 2. Let m(r) = 2*r + 21. Let g be m(-14). Let a be p(g). Solve 0 = -3*f - 5*u - 14, a*u + 15 = -4*f - u for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20014450 * 0.01\nAnswer: -200144.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/7 - 22171752*r\/7 + 66515283\/7.\nAnswer: -3*(r - 3)*(r + 7390587)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 5 - 3)*(27 + 34 - 28)*(6*n - 8*n + 3*n) - 3*n + 4*n - 11*n)*(-2*n**3 - 2*n**3 + 6*n**3) as t*n**4 + o*n**3 + u*n + z + l*n**2 and give t.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 87533010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157, -335, -399, -349, -185, 93?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 10*i - 12. Calculate the smallest common multiple of 26 and p(8).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -5 + -12 - -11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/9)\/(1\/3)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 451.59899 times 3?\nAnswer: 1354.79697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0382 less than 5\/2048?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -35*h**2 - 2*h + 3. Let k be t(1). Let d be (-6 - -2)*(k\/4 - 1). What is the third derivative of 37*y**2 + d*y**2 + 13*y**4 - 49*y**2 wrt y?\nAnswer: 312*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -13 - (10 - 22).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*v = -34, 2*t + 4*v = -2 + 40. Let s(u) = -6*u**3 + u**2 + 2. Let h(d) = 13*d**3 - 3*d**2 - 5. Calculate t*s(f) + 4*h(f).\nAnswer: -2*f**3 - 3*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 - q**2 + q**2 + (-6 + 1 + 7)*(3*q**2 + q**2 - 5*q**2) - 60*q**2 + 32*q**2 + 30*q**2 to s + z*q**2 + y*q and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 4 (c) -1 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/(-32)*80\/30)\/((-2)\/(-6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 7*y**2 - 100*y + 11. Calculate u(14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 5:04 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16772 - 19678 = -15*b. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r**3\/3 - 3*r**2\/2 + 2*r - 1. Suppose 2*v + 4 + 8 = 0. Let s be ((-3)\/v)\/((-1)\/10). Calculate k(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbeb when four letters picked without replacement from {b: 4, n: 3, i: 2, e: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92 + -218. Let l = j + 310.056. Which is the nearest to 0? (a) 1\/8 (b) l (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 3*r**2 + 99*r - 181. What is the units digit of p(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105251 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*m + 2*m + 22*m + 4*m + m - 3*m + (m + 0*m - 2*m)*(-5 + 4 + 0) + m - 1 + 1 - 2 + 2*m + 2 + (-1 + 1 - 1)*(5*m - 3*m - m).\nAnswer: 39*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 17\/2. Let j = -1 + 1. Is j at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31159 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -13. Suppose 0 = -2*b + 2*t + 24, -k*b + 2*t + 12 = -2*b. Let f = 4 + b. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -36*l. Let a(k) = 13*k**2 - 3*k**2 - 7*k**2 - 2*k**2. Determine s(a(i)).\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 65 = -w - k, -3*w + 2*k + 39 = 0. Solve 5*q - 4*x + w = 0, -4*q + x - 6 = -0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 1. Suppose 312 = 2*t + 11*t. Suppose 0 = -53*i + 47*i - t. Sort 4, i, b.\nAnswer: i, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 13*n - 5*n**2 - n**2 + 29*n**2 + 32 - 22*n**2. Give i(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9655 and 1893.\nAnswer: 18276915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 217689232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0, -1, -4, -7, -32 in decreasing order.\nAnswer: 7, 0, -1, -4, -7, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s + 44. Let v(b) = -b + 15. Determine 6*q(m) - 17*v(m).\nAnswer: -m + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 186?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6805 less than -16?\nAnswer: -6821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44.46 + -44. Let w = 1.24 + k. What is w rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 7:31 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6823 - 6825 - 385*m**3 - 142*m**3.\nAnswer: -527*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2135 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 144851646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88217.7 months in years?\nAnswer: 7351.475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i + 8. Let s(z) = 9447*z. Give s(d(w)).\nAnswer: 47235*w + 75576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*f + 15*f - 8*f)*(-3 + 37 + 19).\nAnswer: -2809*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 2*q + 7455 = 0. Suppose -1623 = -9*f + q. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 5:47 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.6 + -1.4. Let j = 0.4 - w. Let v = -2 + 2. Which is the closest to -1? (a) -0.2 (b) j (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 1\/(-3)*-15*(0 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 382574283 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276 != -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3051 + 6964. Suppose -h = -4*r + 11011. Let f = r - 37251\/10. Calculate the common denominator of f and -89\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42 - -24) + 546\/30 - 118\/(-10)*1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**3\/3 - 5*g**2\/2 + 22*g + 13. Let a(l) = -l - 13. Let p be a(-7). Calculate the least common multiple of 12 and x(p).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34525060.\nAnswer: 2, 5, 1726253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11 + -8 + -5 - (1 + 3). Let r(g) = 82*g + 505. Give r(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 0 - 15 = 0, 4*p = -5*q - 21 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-5))\/((-5)\/50). Suppose -4*b = 2*l + 4, 2*b + l = y*l + 22. Solve -2*w = -b + 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 + 23*t - 2. Let u be y(-13). Round u to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 13. Let c be d(0). Suppose -c*j + 2674 = j. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -6675*s**3 + 104*s**2 - 4*s + 2. Let g(i) = -6681*i**3 + 102*i**2 - 3*i + 3. Let w(y) = -4*g(y) + 3*p(y). What is the third derivative of w(d) wrt d?\nAnswer: 40194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*(sqrt(396)*2 + 5) + sqrt(396)*1*-6 + 3)**2.\nAnswer: -32000 + 1920*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/3 (b) 3 (c) -1\/4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -4*t - 15, -2*n = n - 5*t - 40 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 380, 395, 430, 491, 584, 715, 890, 1115?\n\"Answer: p**3 + 4*p**2 - 4*p + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooyooooyytyoky. What is prob of sequence yk?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 + 1788*a - 199760.\nAnswer: -4*(a - 227)*(a - 220)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d - 11. Let b be h(4). Put b, 2, -3, 0 in increasing order.\nAnswer: -3, 0, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96 - 68. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2008 * 319532.\nAnswer: -641620256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 34 - 4b4a6d?\nAnswer: -4b4a39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 505, -62 in descending order.\nAnswer: 505, -3, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 2*z + 2*z. Let b = 30 + z. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-3)*3 - 1. Let f = 11 - b. Suppose f*s = 2*x - 6, 0*s + 4*s = -3*x + 19. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -9. Let c be (-6)\/t*20\/(-3). Let p(k) = -k**2 - 32*k - 70. What is the hundreds digit of p(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, h: 2, c: 2, b: 1}. What is prob of sequence bhch?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53708*i - 26870*i - 2970 = 26860*i for i.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 23, 22, 11, -16, -65, -142?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, -0.1, 1, 3, -27, 276.\nAnswer: -27, -2\/19, -0.1, 1, 3, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23026320 to the power of 1\/2, to the nearest integer?\nAnswer: 4799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -4 (b) 2 (c) 146323\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*j**3 + 30*j - 17*j**3 - 30*j - 8 + 6*j**3 + 8 + (2 - j - 2)*(-3*j**2 + 5*j**2 + 0*j**2).\nAnswer: -33*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**15*d)**(-26)\/(d**(-29)*d*d*d*d\/d**23*d) assuming d is positive.\nAnswer: d**(-369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4059, -7379, -10699, -14019, -17339, -20659?\nAnswer: -23979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -2\/3 (b) -1359 (c) -4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 3\/2 (c) -12.3 (d) 1\/3 (e) -5 (f) -129\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 565656894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 + -47. Calculate the remainder when 89 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 - 44. Find the first derivative of 19 - 12*a**2 + 12*a**p - 4*a**3 - 2 wrt a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40997011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from elrelerzrrrrvrevrzz. Give prob of picking 1 v, 1 r, and 1 l.\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/39, -5, -0.8, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 2*c + 9*c**3 + 3*c**3.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2572.1 + 2436. Let m = 127 + b. Let v = m - -9.5. What is the third biggest value in 4\/3, 4\/5, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169090561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 41299398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 91283.91 tonnes?\nAnswer: 91283910000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -294007955 take away 157?\nAnswer: -294008112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-178)\/11125*-1*5.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*q - 5085, 5*n - 5080 = 7*q - 4*q. Is 54 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2953808365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 93*x - 50. Let r(b) = -46*b + 25. Let d(l) = -9*r(l) - 4*y(l). What is the hundreds digit of d(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 - 166*l**3 - 6721*l**2 + 13944*l - 7056.\nAnswer: -(l - 1)**2*(l + 84)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 145*o**2 - 2*o + 2. Let t(y) = -22*y + 23. Give h(t(s)).\nAnswer: 70180*s**2 - 146696*s + 76661","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*l + 3*r, -5*r = -9*l + 11*l + 40. Let g(u) = u**3 + 24*u**2 + 10*u - 64. List the prime factors of g(l).\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -61, -62, -75, -106, -161, -246, -367?\n\"Answer: -s**3 + 6*s - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19340 - 10541. Let u be -2 - 1 - l\/(-21). Suppose 5*k + 71 - u = 0. What are the prime factors of k?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9921 and 76070921.\nAnswer: 3307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(5 + -4 + 0). Let f(n) = -n - 3. Let c be f(-6). Suppose -q + c = -3. Solve -3*d - 5*m - 11 = q, x = -5*d + m + 9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145046 - -5.\nAnswer: -145041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j. Let q be l(6). Let b be 2\/q*0*(-2)\/(-4). Suppose -3*s + 18 + 0 = b. Solve 8 = -s*w + 4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -28561e?\nAnswer: -28561a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 85*j**2. Let s(q) = 87 + q**2 - 42 - 45. Give r(s(k)).\nAnswer: 85*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/(783\/(-6))*(-18)\/8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u + 2*u**4)*(-3*u + 3*u + 2*u) - 93*u - 14*u**5 + 93*u.\nAnswer: -10*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 250 - 248. Suppose -2*s - p = 2*p - 22459985, 0 = a*s - 2*p - 22460010. What is s rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5366 - -10440. Let x be h*11*172\/(-2). Let u be 6\/3 - x\/(-2). What is u rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -8*n**3 + n**2 + 2*n + 1. Let r be w(-1). Suppose 2*p - 4*u = 4*p + 6, -3*u + r = -p. Sort -0.2, -2, p.\nAnswer: p, -2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*n = 232, -5*k + 9*n + 228 = 6*n. Let m(q) = q**2 + 3. Let c be m(0). List the prime factors of (k - 1)*1 - c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 + 44*b + 83. Determine x(24).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338551?\nAnswer: 31, 67, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 634970+-5\nAnswer: 634965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 130 = -2*v, -5*v = -4*y + 6*y - 277. Suppose 33 = 5*m - v. What is the tens digit of 1\/((-260)\/(-1116) + (-4)\/m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 + -21311141?\nAnswer: -21311113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 9*a**2 + 17*a. Let y = 1 + 1. Let q(u) = 20*u - 49*u - 2*u**y + 25*u. Let v(r) = -6*l(r) - 26*q(r). Factor v(p).\nAnswer: -2*p*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**6\/y*y)**32 assuming y is positive.\nAnswer: y**192","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04 + -0.46. Let s be 2\/(-10) + 6\/15. Which is the second smallest value? (a) s (b) j (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 6*w**2 - 18*w + 4. Give r(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxuxxxxxuul. Give prob of sequence uu.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 55 + 240. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 10 = 5*u, 2*k + 12 = 6*k - 4*u. Suppose k*q + 0 = 15. Let o(i) = -q*i + 3*i**3 + 0*i**3 - 2*i**3 + 2*i**2 + 0*i. What is o(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 divided by 6?\nAnswer: 191\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.47979 plus -1.9?\nAnswer: -26.37979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -113*l**2 - 14*l - 43. Let s be b(18). Let p = s + 30236907. Round p to the nearest one million.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f + 5. Let w be q(4). Suppose 2*u = -4*r - 4, 5*r - u - 6 = 3. Calculate the greatest common factor of r and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 245 + 199. Does 37 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -433*l - 1258. Is x(-41) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 4)*(2 + -2). Suppose c = 5*h - 335 + 20. Suppose -2*y + d + 17 + 12 = 0, h = 4*y + 3*d. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1191 and 114237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041 take away 91?\nAnswer: -90.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0479 rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-16\/5)\/a**(-7))\/(a\/(a**(9\/8)\/a)*a*a**(-3\/10)) assuming a is positive.\nAnswer: a**(89\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*n**3 + 1583979*n**2 + 35842223*n wrt n?\nAnswer: -24*n + 3167958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 4*w**2 - 2*w + 6. Let y be x(-3). Calculate the greatest common factor of 6 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -0.18 (c) 2\/7 (d) 0.5 (e) -262.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 - 339\/5. Let m = 32 + -34. What is the second smallest value in m, j, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16349871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*3\/12*(-40)\/(-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5898954 is divided by 6643.\nAnswer: 6613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2751, -5974, -9751, -14358, -20071?\nAnswer: -27166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 220 and 39666.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-35)\/(-14) - 1\/(-2). Solve -l - 2*x = -x + 7, -b*x = l + 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.63 - 20.63. Let d = 19.999 + b. Round d to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5995.\nAnswer: 5, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -468855 or -5157393\/11?\nAnswer: -468855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 = 0, 3*n - 1 = -2*l + 4*l. Let j = 67\/153 + -5\/9. Which is the closest to n? (a) -3 (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169306798?\nAnswer: 2, 8389, 10091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + 10. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3 + (sqrt(35)\/sqrt(5) - sqrt(7))*-4 - sqrt(21)\/(sqrt(3) - sqrt(96)\/sqrt(2)))*-2)**2.\nAnswer: 200*sqrt(7) + 8800\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46*n**3*o**3*v - 542*n**3*o*v**2 + 3528*n**2*v + 263*n*o**3*v**2 wrt v?\nAnswer: -1084*n**3*o + 526*n*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -514*m + 520*m + 2*g, 0 = 4*m - 4*g + 12 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**10\/(k\/(k*k\/(k\/((k*k**(4\/3))\/k))*k)))\/((k\/((k*k\/(k\/k**(-3\/7)*k)*k)\/k))\/(k**16\/k)) assuming k is positive.\nAnswer: k**(544\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -11. Suppose -5*b = 4*y - 10477, 7*b = 4*b + 4*y + 6267. Let d(k) = -4*k + 0*k**2 - 2099 + k**2 + b. Determine d(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 17. Let d = -1859\/30 + 367\/6. What is the nearest to 1 in 2\/9, d, t, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-6) - (-4)\/6. Does 6 divide 45\/6*4\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*5427.\nAnswer: 65124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 75866*o**2 + 91714 wrt o?\nAnswer: 151732*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -5\/12*t**4 + 5\/9*t**3 - 20\/3*t - 3 + 10\/3*t**2. Find j, given that v(j) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16570 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 3:10 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 - -44703801018.\nAnswer: 44703801031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-26)*677274\/(-10968)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 + 287\/5. Let v = 3 + -1. Factor -h*k - 1\/5*k**v - 1\/5.\nAnswer: -(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-1)*2\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/(-25)*-10)\/((-2)\/(-3)). Suppose i*z + 2 - 8 = 0. Suppose -22 = -v - 5*b, v - 23 = 2*b - z. Calculate the remainder when 153 is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 36 - -4409049?\nAnswer: 4409085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*w + 3 = 0, -3*s + w = -2*w - 18. Let n = 5 - s. What is the third derivative of f**5 + 2*f**n - 5*f**5 + 3*f**5 wrt f?\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -52*o + 0*o**3 + 0*o**2 + 0 - 1\/3*o**4. Let b(q) = 28*q. Give p(b(c)).\nAnswer: -3136*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-174)\/(-8) - (-2)\/8 and (-5 + 2)\/(-6 - 702\/(-120))?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.05 and -22.8.\nAnswer: -22.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -11142220 to the nearest ten thousand.\nAnswer: -11140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -884, -1585, -2310, -3059, -3832, -4629?\nAnswer: -5450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d92e + 9a9?\nAnswer: 1e2d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 925 - 573 = 22*y for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2006950338 a multiple of 2446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 1 + -16)\/2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 573, 1324, 2075?\nAnswer: 2826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 17 - 16)*(1 - 1 - x**2).\nAnswer: 51*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4120914)\/(-187572) + -22 + (-5)\/(-385)?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = f + f - 4, 0 = f + n - 1. Let x(a) = 5*a + 2*a + 23*a + f. List the prime factors of x(4).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*d = 476 - 662 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) + 4*sqrt(189)\/sqrt(3))\/(sqrt(225)*-1) + (-1*(-1 + sqrt(7)) + (0 + sqrt(7))*-6)*2)**2.\nAnswer: -60*sqrt(7) + 1579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (36\/(-60))\/(1\/(-5)). Suppose -4*w + d = -4*a - 1, -3*a + 7 = -w. Suppose 6*v = w*v + 71. What is v rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*b + 5*d = -37, -2*b - 4*d = 14. Let y = -4 + 6. Suppose 0 = -0*z + y*z. Solve 0*i + i + b = z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 148048 and 720?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/184 and -2\/69?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.05 * -28.\nAnswer: 29.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12990 divided by 6.\nAnswer: 2165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.15 and -680.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 418250772 a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*s**4 + 9*s**2 - 23*s**4 - 14*s**3 - 12*s**3 + 16*s**2 + 6*s**3.\nAnswer: -5*s**2*(s - 1)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -135.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 + 3*t**2 + t**3 - 2*t**2 + (-t + t - 2*t)*(-15*t**2 - 18*t**2 - 2*t**2).\nAnswer: 71*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 2*y = -7*v - 4, -3*v - 8 = 2*y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43932768 to the nearest integer?\nAnswer: 6628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 + 2*j + 3. Let o be q(-3). Let t = -11 + o. Is (-84)\/(-8) - 2\/t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*q + 99*q = -2*f - 40, 3*q - 3*f = -12 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -154 (b) -3 (c) -3\/16 (d) -5 (e) -6\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 - 136*o - 576.\nAnswer: 2*(o - 72)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and (-42)\/(-4) - (-11)\/22?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*((0 + 4 + 0)*(3*h + 4 - 4) - 89*h + 201 - 201).\nAnswer: -77*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 135*l**3 + 1196009*l**2 + 112*l - 118300 wrt l.\nAnswer: 810*l + 2392018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 89*c**3 - c**2 + c + 1. Let b be x(-1). Let a = -6 + 12. Let j be (-33)\/b - 4\/a. Is 0 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b - 6. Let m be p(-5). Let h be (-165)\/(-1) + (-8 - m). What is the greatest common factor of 21 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3352*-41\nAnswer: 13.7432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2091 and 8468074?\nAnswer: 1041573102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -13.5. Let o = -295 + 296. Put 15, c, -2, o in decreasing order.\nAnswer: 15, o, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 5*z + 49, 11*l - 10*l - 8 = z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**2 - 48738256*h - 148463599870096 = 0.\nAnswer: -6092282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*a - 3395, -4*a = -5*t - 2700 - 14339. Let q = t + 7402. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39075140?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vffhhha. What is prob of picking 1 f and 3 h?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - c. Let j be d(1). Let x be 22\/8 + j\/(-8). Let q(b) be the second derivative of -5*b**3\/6 + 3*b**2\/2 + 103*b + 5. Determine q(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.002002717 to six dps.\nAnswer: 0.002003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -148819.5242754 and 6.\nAnswer: -148813.5242754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**2 - g + 38. Let y(l) = -34*l + 198. Let f be y(6). What is x(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 1:36 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r**3 - r**2 + 1. Let j be x(1). Suppose q = j + 6. What is the remainder when 18 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (2 - 2 - -23)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1809 divided by -27.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15109.\nAnswer: 29, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139625 - 0.8.\nAnswer: 139624.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*r + 11 = -35*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 u when three letters picked without replacement from {u: 6, f: 4, t: 7}?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1037399, -4, -2\/3 in descending order.\nAnswer: 1037399, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 95 = -5*j, 0*f + f + 5*j = 7. Let l be 325\/3 - 1\/3. Let k = -53 + l. Calculate the greatest common factor of k and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 7*o + 20 = 0, 4*o + 16 = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjz when three letters picked without replacement from {c: 1, j: 5, d: 2, z: 1, h: 3, f: 1}.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1000 is divided by 483.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/21942228 and 53\/7314076.\nAnswer: 21942228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -5. Suppose -4*j + 43 = x*p, 3*j + 8*p - 3*p = 46. Let c = j + 36. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (-30)\/(-4 + 6). What is the second derivative of q*h + 2*h**3 - 7*h - 2*h**3 - 28*h**4 wrt h?\nAnswer: -336*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8190871 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17681533 is divided by 591?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(132)\/sqrt(11)))\/(sqrt(88)\/((sqrt(64) - -2*sqrt(64))\/sqrt(8))).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = t + 8. Let i be 1 - 0 - 44\/(-4). Let w = i - -76. What is the greatest common divisor of w and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/14))**(-44) assuming t is positive.\nAnswer: t**(66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -13. Solve d = -o - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89113961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4 - 2 - c**4 - 5*c**4 wrt c?\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24336587 a multiple of 344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + 2*q**2 + q)*(-178 - 184 - 178 + 725 - 123299*q**2 - 185) as k + l*q**2 + a*q + f*q**3 + u*q**4 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three eighths of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -53 (b) -19 (c) -0.1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1458.000665 + 1458. What is d rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6350.4 to the nearest 10.\nAnswer: -6350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -327 - -331. Solve -r - 5 = s*z - 4, 3*r = -3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 22 = n + 3*b, -47 = -n + 2*b. Suppose p - 5*g = 23, -p + 11 = g - 0*g. What is the remainder when n is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -38778011, -77556022, -116334033, -155112044, -193890055, -232668066?\n\"Answer: -38778011*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 13 = -8. Sort 1, g, -2, 6 in ascending order.\nAnswer: g, -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + z + 8 + z + 6.\nAnswer: 2*z + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o + 60. Let f = 253 + -128. Calculate the lowest common multiple of o and (4\/5)\/(5\/f).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6669*s + 6690*s - 31612749 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -889*y**3\/3 - 8117. Let t(o) = -o**2. Give p(t(b)).\nAnswer: -889*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 21767 = 36*y - 40*y, -y + 5446 = 5*v. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 8:56 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 - j**2 + 0*j**2)*(0*j**2 - j**3 + 2*j**2 + 0*j**2) - 2158*j**5 + j**4 - 87*j**2 - 3*j**4 + 2159*j**5.\nAnswer: 4*j**5 - 8*j**4 - 87*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8396469?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -8*q**2 - 2*q + 1. Suppose 12 = 2*r - 0. Let o be 14\/r - (-6)\/(-18). Suppose c = 2*p + o*c - 5, -c = -3*p. Calculate d(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2077329*k + 8*k**2 + 2077329*k. Let m(x) = -3*x + 43. Determine r(m(s)).\nAnswer: 72*s**2 - 2064*s + 14792","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 45 - 93)*(y**2 + 3*y - 3*y - 5*y**2 - 8*y**2 + 0*y**2 + (0*y + 0*y - 3*y)*(-y - 3*y + 2*y)).\nAnswer: 156*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 455 and 945.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1432236 to the power of 1\/2, to the nearest integer?\nAnswer: 1197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*7\/((-14)\/(-6)). Suppose -m*t = -4*s - 238, 2*t = -5*s + 143 + 8. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119 and 4732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (7 - ((44 - 52) + (-1 - -3) + 18)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 488324 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 12 - 4 - 3*m**3 + 4*m**3 - 10. Let s(i) = 4*i**3 + i**2 - 7. Give -14*p(h) + 4*s(h).\nAnswer: 2*h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, s: 1, e: 1, p: 1, k: 1}. What is prob of sequence ep?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 402498370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*w - 5691. Let y = w - 34289\/6. Find the common denominator of y and (-2)\/(-7) + 85\/(-14).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**5 - 328600*n**4 + 1314440*n**3 - 1971680*n**2 + 1314460*n - 328616 = 0. What is n?\nAnswer: -82154, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*m - 2*b - 10 = 0, -4*m + b = -17. Is 8 a factor of m\/6 + ((-1840)\/6)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.8 + -1.8. Let j = -10 + d. Which is bigger: j or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 + 2*d - 2*d - 3*d**2 + d**2 + 4*d**2 + 0*d**2 + d**2 - 3*d**2 + (2 - 2 - d)*(4*d + d - 3*d) + (2*d + 17 - 17)*(5*d - 2*d - 4*d).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222030 + 11321001?\nAnswer: 12203031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -9, -18?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 3. Suppose -i + 0*i = -m. Suppose -v + 3 = i*d + 1, 4*v + 24 = 4*d. Solve -d*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 + 80 - 236*l**3 + 508*l**3.\nAnswer: 272*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 27. Let r be (-56)\/(-35) - 9\/n. Which is smaller: r or 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 2*b**2 + b + 2. Let x be h(-3). Suppose 0 = -3*l, 5*q - l - x + 3 = 0. Calculate the remainder when q is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -3) + 6 + 3 + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-6) - (-435)\/(-6). Let j = z - -75. Let g = 1 - -2. Calculate the highest common factor of j and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/156 + 139\/52. Which is bigger: 4 or p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/141770 and -167\/65497740?\nAnswer: 65497740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -105.3395687 + 105.34. What is z rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*j = -2*d - 3*d - 6*d - 305*j + 27, -3*d + 3*j = 27 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34629892 to the power of 1\/4, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 4*y = -7*y, -4*l - 3 = 5*y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 - 86 - 3*j**2 + 4*j**2 - 163.\nAnswer: j**2 - 185","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s + 70. Calculate t(32).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 9*c + 7. Let f be u(-6). Let i = f - -35. What is the highest common divisor of i and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, i: 4, r: 1, h: 2, q: 2, z: 1}. Give prob of picking 1 r and 1 i.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - n - 2. Suppose 0*u = -3*u + 18. Let r(y) be the third derivative of 0*y + 1\/60*y**5 + 1\/24*y**4 + 1\/3*y**3 + 0 - y**2. Give u*h(z) + 7*r(z).\nAnswer: z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7e0b0a (base 15) to base 6\nAnswer: -333102044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/16 and (3\/24)\/((-21)\/(-1164)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*z - 64, -4*z + 8*z + 256 = 4*i. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(4)\/sqrt(2) - ((sqrt(8) - sqrt(128))\/sqrt(4) - sqrt(2)).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -40, -39, -38, -37, -36?\n\"Answer: i - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3150798 divided by -147\nAnswer: -21434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-229 - -266) + (-33 - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1347\/9 - (-1)\/3. Factor 56*r**3 - 13*r**2 - a*r**5 - 96*r**4 + 116*r**4 - 3*r**2.\nAnswer: -2*r**2*(3*r + 2)*(5*r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 3*y - 33. Solve -y*o**3 - 4*o**2 - 5*o**4 + 0*o**4 + 4*o - 2*o**3 = 0 for o.\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6*(-12)\/(-18))\/(-1). Suppose 4*p - o*w - 149 = -3*w, -5*p = -2*w - 190. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**6\/120 + j**5\/12 + j**4\/12 + j**2\/2 + 1. Let q(b) be the second derivative of i(b). Let f = -106 + 104. Determine q(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.763 rounded to 0 decimal places?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270) + sqrt(270)*-2)\/sqrt(9))\/(sqrt(10)*1*-4 - sqrt(10)).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r*r**4\/r*r))\/r)\/((r*r**(-12))\/r)*(r**(3\/7)*r*r*r)**(-25) assuming r is positive.\nAnswer: r**(-558\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -178 at least as big as -178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -58793 equal to -58793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8586047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*k - 979 - 69051, 4*k = -y + 14021. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of a**3\/3 - 9*a**2\/2 + 8*a - 19. Let u be z(8). Solve u = 3*y - 2 - 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**3 + 15*l**2 - 3*l + 25. Determine y(8).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -645963, -1291923, -1937887, -2583855?\n\"Answer: -2*z**2 - 645954*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-161*w - 70*w + 66*w)*(5*w - 5 + 5)*(w**2 - w**2 - 2*w**2).\nAnswer: 1650*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1908 + 1908. Solve -8*k + 26*k = u for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 - 3 - (-2)\/1 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1922 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 2:34 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*p + p + 3*n - 5, -2*p + 2566*n + 55 = 2563*n for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 minus -29896.20097?\nAnswer: 29896.27097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 559580 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -3*l**2\/2 + 101*l - 20. What is the remainder when f(0) is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*m - 101*m - 3409 + 1407 = 1148 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25967\/3, 3, -4.6, 5, 0.4 in ascending order.\nAnswer: -25967\/3, -4.6, 0.4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310*i - 293*i = 7106. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 2*x + 6. What is o(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -18. Is a less than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2859 = 708. Find the common denominator of (18\/(-20) + 1)*i\/(-290) and 41\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 6:35 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 1 + 1)*(0 - 3 + 1) + 21 + 32 + 21)*(-4*p**3 + 0*p**3 + 1 + 3*p**3) in the form q*p + a*p**3 + b + v*p**2 and give b.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + (sqrt(102) - 2*(-1*sqrt(102) - sqrt(102))) - sqrt(102))\/sqrt(6).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + 1 + sqrt(343) + -1)**2 + (((-2*sqrt(77) + sqrt(77) + sqrt(77))*-3 - sqrt(77)) + sqrt(77))\/sqrt(11).\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -15*b**2 + 4*b + 3. Let g(v) be the second derivative of -v**4\/12 + v**3\/6 + v**2\/2 - 27*v + 1. Give -3*g(r) + x(r).\nAnswer: -12*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2509753 at least -2509758?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(3\/2)*q*q*q)\/((q*q\/q**(-3))\/q))**(2\/43)\/((q\/q**1)**(-7))**20 assuming q is positive.\nAnswer: q**(1\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1263 - 1254. Let i(h) = h**2 - 10*h + 13. Calculate i(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146549803 is divided by 358.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3764 (base 9) to base 15\nAnswer: c77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 253723\/18 + -14090. Let u = 17939\/22 + -814. What is the common denominator of u and s?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*c + 9*c + 5*c**2)*(5*c + c + c) - 5*c**3 - 9*c**3 + 13*c**3 + 5*c**2 - c.\nAnswer: 34*c**3 + 5*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(-6*k + 5*k - 2*k)*(0*k**2 + 0*k**2 - 2*k**2).\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a**3 - a**2 + a - 1. Let o be f(1). Let z(q) = 6*q - 3*q + o*q - 4*q. Let p(m) be the first derivative of -m**2\/2 - 1. Calculate z(p(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/21 and -83\/1958418.\nAnswer: 1958418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) 0.09 (b) 1 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -116432 divided by 8\nAnswer: -14554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -128 (base 11) to base 9.\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.6, -1\/2, 1\/6, 56, -2\/47?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 22220 (base 3) to base 12\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77574, 155469, 233688, 312231, 391098, 470289, 549804?\nAnswer: 629643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23434600 rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 342005 + -20?\nAnswer: 341765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/3611718689 + -105086567012530\/67513857453477. Let s = -2\/2077 - j. Factor 2\/3*z**2 - s*z + 4\/9.\nAnswer: 2*(z - 2)*(3*z - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 941456 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 6 + 54. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 11. Let v be r(11). Sort v, -1, 3, 5 in increasing order.\nAnswer: -1, v, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (47 + (1 - 4))\/2. Let g be (-3 - (1 - x))\/(3 - 1). What is the derivative of 18 + 239*y**3 - 241*y**3 + g wrt y?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 - 3*a + 2. Let i be f(1). Sort -11, i, 0.\nAnswer: -11, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6734 times -0.3?\nAnswer: -2020.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293894489.\nAnswer: 7, 19, 71, 31123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/6)\/((-161)\/(-92)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 9*v**2 - 42*v - 7. Calculate y(4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.11 - -0.11. Let s = 0.04512 - -2.95488. Put -74, a, 0, s in ascending order.\nAnswer: -74, a, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -425 divided by -2346.\nAnswer: 25\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77040 and 69336.\nAnswer: 693360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 1:52 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 955, 0, -12 in increasing order.\nAnswer: -12, 0, 955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 2*z**2 + 3*z - 3. Let y be r(2). Suppose 56 = y*d + 2. What is the smallest common multiple of 12 and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 17. Let g be h(-15). Let w be 7 - g - (2 + 1). Solve -p + d - w = 0, -7 = p + 2*d - 4*d for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 - 3*s. Suppose q = -2*v, -3*v - 6 = -3. Let w be n(q). Suppose 5 - 1 = w*y. Solve 0 = 4*g + 18 - y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5145147 and 1323.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-30)\/(-570) + 233924\/76?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 77*u - 32*u - 33*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1193*g**3 + 605*g**3 + 594*g**3.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 11*s**2 + 3*s. Let p(f) = -f**2 + 24*f - 83. Let i be p(20). Let a(h) = -6*h**3 - 54*h**2 + 16*h. Let r(m) = i*a(m) + 16*u(m). Factor r(n).\nAnswer: 2*n**2*(n - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2 = -3*k. Let a be k\/(-3) + (-1)\/3. Round a to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of f**6\/120 + 7*f**5\/60 - f**4\/8 + f**3\/6 + f**2. Let c be d(-7). What is the units digit of (c - 0)\/(3 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = -187 + 823. What is the smallest common multiple of r and 4?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 14*v**2 - 48*v + 1. Let c(q) = 10*q**2 - 49*q + 1. Calculate 4*c(k) - 3*y(k).\nAnswer: -2*k**2 - 52*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 8481, 2\/5, 0.5, 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(1\/3)*h)**37\/(h**(-4\/7)\/(h\/(h\/(h\/(h**4\/h)*h)))))\/(h*h*h\/(h\/(h\/h**4*h))*h**(6\/5))**(-9) assuming h is positive.\nAnswer: h**(7564\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2430*t**2 + 760*t**2 + 1390*t**2 + 423*t**2 + 1123*t**2.\nAnswer: 6126*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + f. Let s(l) = 10*l**2 - 8*l. What is 6*c(b) + s(b)?\nAnswer: 4*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(102))\/(sqrt(144)\/sqrt(6)) - (5*2*sqrt(68) - sqrt(68) - sqrt(68))\/(sqrt(32)\/(sqrt(8) - sqrt(128))).\nAnswer: 27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 202 and 718009?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8507*c - 8509*c + 49 - 39.\nAnswer: -2*c + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1905)\/(-6)*(-6 - -8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56.32 + 1624.58. What is d rounded to the nearest ten?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 357a - b8?\nAnswer: 3492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 8*k**2 - 7*k - 27. Let r be h(6). Solve a - r = 2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 4*b - 14 = 0, -1736*a + 1734*a - 5 = -b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -288650 divided by -28865?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -13 - 32. Suppose 5*k = -0*k + p. Suppose -4*f = 16, -2*f = -5*d + 3*f + 30. Solve k = -q + t, -5*t + d*t - 21 = 3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (40 - 40 - 299*t**2)*(-11*t**2 + 7*t**2 - 5*t**2) + (-5*t**3 + 12*t**2 - 12*t**2)*(2*t + 0*t + 0*t) as u + j*t + a*t**4 + h*t**3 + d*t**2 and give a.\nAnswer: 2681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/23 (b) -1015 (c) -9 (d) 1\/3 (e) -2 (f) -2\/7 (g) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5 - 1 + 4 + s - 6. Let i be v(8). Let a be -2*-3*1*11\/22. Solve 3*x - 4 = 4*w - 3, -3*x + a*w = i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.13 - 0.33. Let w be (-3)\/1*10\/45. What is the closest to g in -3, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80453165\/564804 - -3\/62756. Let x = -14426\/99 + w. Let m = 167\/33 - x. What is the common denominator of m and -48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 6:50 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -351953, -351955, -351967, -351995, -352045, -352123, -352235, -352387?\n\"Answer: -r**3 + r**2 + 2*r - 351955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 932 + -947 + (5 - 41) + -3.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110100001 (base 2) to base 11.\nAnswer: -775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2844 + 1131 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2 + 3 = 0. Let q = 4 - z. Suppose q*r - 1 = -10. Let h(y) = y**3 + 3*y**2 + y + 2. Calculate h(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2663, -5\/4, -2, -3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50432 and 1260800?\nAnswer: 1260800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14724 (base 8) to base 15\nAnswer: -1e5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26\/(-42)*12\/8. Let p = 10\/7 + w. Let n = -0.04 + -1.96. What is the second biggest value in p, n, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2432 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -5*f**2\/7 - 1819*f\/7 - 20124 = 0.\nAnswer: -252, -559\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 43d - -26c?\nAnswer: 6a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 55\/(-30) - 0. Which is the closest to -2? (a) d (b) 2\/13 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/(-1120)*-28*((-26)\/3 - 0).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -1201?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 250.1762 millennia to months.\nAnswer: 3002114.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.1 less than 19369371041?\nAnswer: 19369371035.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g + 10. Let l be v(-7). What are the prime factors of (-3)\/l + (-50)\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.58303 to two decimal places.\nAnswer: -24.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/6 + 64\/12. Let l = 9 - g. Let k = -12 - -24. Calculate the greatest common divisor of k and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjjjjbbbjjjjjjjjjjj. What is prob of picking 2 b and 1 j?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-21)\/p**(2\/15)*(p*p*(p*p*p*p**26*p)\/p*p)\/(p**(-10\/11)\/p) assuming p is positive.\nAnswer: p**(2108\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**5 - 20*u**4 - 24*u**3 + 88*u**2 + 148*u + 60 = 0. What is u?\nAnswer: -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 8*t**2 - 5. Is f(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 3*y + 18 = 0, 3*o = -y + 15 - 31 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13777.1739 rounded to the nearest one hundred?\nAnswer: 13800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*v + 2*w - 1197, -2*v - 581 = w. Let i = v + 1187. List the prime factors of i\/21 - (-3)\/7.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a millennium in years?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 492515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89229114 is divided by 480.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3929, -3930, -3929, -3926, -3921, -3914?\nAnswer: -3905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 76?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9335 take away 0?\nAnswer: -0.9335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.48 - -1.52. Let r = 0.27 + 0.03. What is the closest to 0 in r, b, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 421369 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 415, -2, 2, -3?\nAnswer: 415","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, n: 10, m: 2}. Give prob of sequence nmx.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a**3 + 1919*a**2 - 4268*a + 33749. What is d(-482)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -14. Suppose -5*r + 3*r = -a. What is the remainder when (r + -4)*(-130)\/4 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (137 - 98) + 6 + -21?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f*k**3*x**2 + f*k**3 - f*x**3 - 1336*f*x + 4*k**3 - k**2 + 39367*k*x**3 wrt x?\nAnswer: 2*f*k**3 - 6*f*x + 236202*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -397*j + 796. Let n be v(2). Let o(w) = 4*w**2 - 3*w - 3. Calculate o(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**2 + 9*m**3 + 3*m**2 - 41*m**3 + (36*m + 459 - 459)*(-3*m**2 - 2*m**2 + 3*m**2).\nAnswer: -104*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 89, 2, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 573501, 573498, 573495, 573492, 573489?\n\"Answer: -3*m + 573504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 10*v**2 + 9*v + 8. Let n be t(9). Let o = -6 + n. Suppose -o*m - 20 = 3*m. Which is the third smallest value? (a) m (b) 1\/3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-2))\/(6\/(-8)). Suppose 4*n - 2*y = 8, -4*n = -3*n + 2*y - d. What is the third derivative of -n*f - f**2 + 2*f - 2*f**5 wrt f?\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1204038 - 62*y**3 + 602017 + 26*y**3 + 602021 + 23*y**3.\nAnswer: -13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 791 a factor of 7589078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17326 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -441, -885, -1329, -1773, -2217?\n\"Answer: -444*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(468) + sqrt(13) + 5)**2 + 0 + sqrt(13) + 4).\nAnswer: -1332 - 142*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/12*-4*15. Suppose -q*j - 175000 = -6*j. What is j rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p = 4*y - 27, -5*y = 5*p - 180. Is 39 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*o + 3*m - 14 = 0, 0 = 4*o + 5*m - 18. What is the smallest common multiple of -1*(-46 - (2 + -4)) and o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.775 + -0.875. Suppose -4*i - i = -15. Which is the closest to u? (a) -2\/17 (b) i (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, 5\/2, -0.4, 12, 1?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 59436\/(-34671) - 163\/(-91)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 34021 > 2109213\/62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 14) to base 15.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -5584*i**2\/3 + 92236*i = 0.\nAnswer: 0, 69177\/1396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 22912 to the power of 1\/2, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36591 + 37231. Calculate the greatest common divisor of r and 2800.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 515358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 549434 divided by -223?\nAnswer: -549434\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 814580 and 8145800.\nAnswer: 8145800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/(-8))\/((-5)\/(-20)). Suppose 5*y = z*y + 448. Let p be (-72)\/32*y\/6. What is the highest common factor of p and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/65*(60\/(-6) - -55)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 6:16 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 15 - 17 = -5*q, 5*h + 4 = -4*q. Suppose -l - 20 = n, -5*l + q*n = 106 + 30. Let k = -14 - l. What is the lowest common multiple of k and 19?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1304 + -1308. What is the third smallest value in -668, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -123 + 126. Let v(k) = 2*k - 6. Let p be v(4). Suppose s + 2*s - t*x - 6 = 0, 3*x = -p*s + 14. Solve -s*w + 7 = 2*b - 5*b, w = -4*b - 22 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 7*x + 9. Let u be w(-8). Let g be (u - 0)\/(4\/24). Let v = -2 + g. Solve 0 = -0*y - 4*y - 12, 0 = v*l - 4*y - 16 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3625.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3740.07944 to the nearest integer.\nAnswer: -3740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452*y + 312 + 432 = -476*y for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/(-2) - 1\/2. Let u(x) = x**2 - 8*x - 6. Let k be u(9). Suppose k*v = -c*a - 12, 9 = 3*a - 6*a. What is the least common multiple of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36412 (base 11) in base 16?\nAnswer: ccb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.3, -0.02, -3.\nAnswer: -3, -1, -0.3, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2548.12 + 2547. Which is the smallest value? (a) u (b) 3 (c) -4 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/(sqrt(10)\/sqrt(5)))\/(3*sqrt(588)) + (sqrt(32)\/(sqrt(32)\/sqrt(4)))\/(sqrt(18)\/sqrt(324)))**2.\nAnswer: 32258\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1 (b) -5 (c) 2\/11 (d) -1\/5 (e) 7139 (f) 4\/5 (g) -50\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4609 = -3021*g - 1588 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - i + 21, 2 = -n - 2*i - 0*i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105196 divided by 119.\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -50*h + 254. Let t be x(5). Suppose 230 = 5*d + t*o, 13*o - 17*o = 20. Suppose 0*i = -5*i + 150. What is the highest common factor of d and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 16 + -5 + -32 + 11.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 412 - 659. Let c = 10 - d. What is the remainder when c is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-5 + (2*sqrt(2736) - (sqrt(209)\/sqrt(44) - sqrt(19))) - (-1 + sqrt(2299) + -1 + sqrt(2299) - -2*(-1 + sqrt(2299)))))**2.\nAnswer: -156*sqrt(19) + 28963\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -1)*(12 - -3005)\/7. What is the first derivative of -73*c**4 + 431*c**2 + 240*c**4 + 90 - v*c**2 wrt c?\nAnswer: 668*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33741 is divided by 126.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 697.52 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1497, 600, -299, -1200, -2103, -3008?\n\"Answer: -t**2 - 894*t + 2392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 + -68. Which is the smallest value? (a) s (b) -1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-5)\/t)\/t)\/(t\/(t\/t**11))*(t*t**(-1))**(-23))**(-1\/48) assuming t is positive.\nAnswer: t**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*z - 2. Suppose -4*t = -z - 13. Suppose -t*i + 36 = -3*i - 3*u, -2*u = 0. 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: Let t(p) = 7*p**3 - 8*p**2 + p - 600. Let n(r) = 6*r**3 - 7*r**2 + r - 599. Let s(h) = -6*n(h) + 5*t(h). What is the tens digit of s(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 3:08 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*r + 6*r + 130 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21407510 to the nearest integer?\nAnswer: 4627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -609 divided by -596.\nAnswer: 609\/596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, i: 1, d: 4, c: 1, w: 3, u: 1}. What is prob of picking 1 t, 1 i, 1 d, and 1 c?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 822 and 1695199366?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l**5\/11 - 9116*l**4\/11 - 18244*l**3\/11 + 72926*l**2\/11 + 164115*l\/11 + 82062\/11 = 0. What is l?\nAnswer: -3, -1, 3, 9118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 86*x. Let i(z) = -41*z**2. Determine c(i(q)).\nAnswer: -3526*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.54 - 0.04. Suppose -x + 3*p = 2*x - 21, p = -x + 7. Let n = -10 + 7. Sort x, o, n in descending order.\nAnswer: x, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4434672.6 rounded to the nearest 100000?\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 74*y - 5113. What is f(69)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -374*p**2 - 377*p**2 + 745*p**2.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/18 - (-1561)\/63?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (182\/(-42))\/((16\/8)\/6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*(k*k\/k**(3\/16))\/k*k*k)\/(k\/(k*k**(-7))))**37)**(-1\/61) assuming k is positive.\nAnswer: k**(1295\/976)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + z = -k, 3*k = 2*z. Let y = 0.12 + -0.09. Which is the closest to y? (a) -1\/5 (b) z (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425) + ((sqrt(425) + -2)*5)**2.\nAnswer: -495*sqrt(17) + 10725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68*a**2 - 12560*a + 3807563.\nAnswer: -136*a - 12560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299*j**2 + 583 - 583 - 298*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 834353 is divided by 2357.\nAnswer: 2332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**3\/6 + 3785*u. Let t(n) = -11277*n. Give t(o(s)).\nAnswer: 11277*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 599106125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u**3 - 38*u**2 - 6*u + 24. Suppose -528 = 41*h - 118. What are the prime factors of i(h)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*u + 2*x - 10, -2*x - 28 = -4*u. Suppose 5*r = -4*k + u - 18, -5*k = 15. Suppose -f = -5 - r. Which is the biggest value? (a) 4 (b) 4\/21 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 1. Let s be i(-2). Suppose -n - 2*v - v = 17, 0 = -3*n - 5*v - 35. Let m = 118 + -117. What is the closest to s in 2\/7, n, m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 8*p**2 - 6*p - 7. Let n be r(7). Suppose n = -k - k - 8. Is -1 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -123\/16 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/8845410 and 107\/3150.\nAnswer: 132681150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 400 and 192.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 6\/4 - (-11)\/2. Find the second derivative of -37 - 4*v + 3*v - 14*v**x + 36 wrt v.\nAnswer: -280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*j - 19*j = 21*j - 2583 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153108525.\nAnswer: 3, 5, 2041447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 5*u - 4*u + 886, -3*u + 878 = 4*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, -0.0614, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + w + 39 = -g, 82 = 3*g + 4*w. Calculate the remainder when g is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 864413 + 463207. Suppose 10*s - k + 277620 = 0. Round s to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 216, 322?\nAnswer: 428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8189935 is divided by 2729952.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1601113 (base 7) in base 5?\nAnswer: -24001033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-27)\/(v**(2\/9)*v))**(-25) assuming v is positive.\nAnswer: v**(6350\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 10. Let v = 18.4 - w. Let q = 1\/189 - -559\/1512. Which is greater: v or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/12*-6*(-8)\/4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 + 3*j - 3*j + (0 - 6 + 1)*(-1 + 18*j**2 - 17*j**2 + 0*j + 8*j)*(40 - 24 - 19).\nAnswer: 16*j**2 + 120*j - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert aa6a7b (base 12) to base 14.\nAnswer: 506a2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 + 133. Let h = 6 - 4. Suppose -5*u = -4*r - 63, -h*u + u = -4*r - 19. What is the greatest common divisor of x and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -729 - -721. Suppose -19 = -u - 7. Let b = s + u. Solve -h + b = -2*h, 2*h = -3*o + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 154*k - 2278. Determine z(15).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbnnqdddqqbq. Give prob of sequence qqq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/90 and 67\/300.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014953791 rounded to five decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.006390313 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 + 4*c - 11. Let u(b) = 4*b**2 + 8*b - 7. Let i(l) = -3*l**2 - 7*l + 8. Let p(v) = -3*i(v) - 2*u(v). Let t(w) = -4*j(w) + 5*p(w). Factor t(n).\nAnswer: -3*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -1) + -4 + 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008333 to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 80527 - 46128. Let r = b - 1238249\/36. What is the common denominator of r and 24\/(-128)*33\/2?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.9 - 43.1. Let x = -48.393 - g. Let p = x + 1.4. What is p rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 5*r**2 - 5. Let g(s) = -s**3 - 1. Let w(k) = -f(k) + 2*g(k). Let t be w(-5). Solve 4*z - j + 8 = 0, -5*j = t*z + 13 + 16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 33 = -5*p + 3*x + 21, 2*x = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 849325 and 11225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.6 - 3. Let m be 1\/((-5 - -3)\/4). Let r be (-18)\/(-168)*7\/m. Which is the third smallest value? (a) r (b) x (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (-90 - -31 - -17).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 3439880.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 67570 to the nearest 1000.\nAnswer: 68000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 365*v + 87*v + 18080 for v.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 12) + (2 - -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1222113 - 11022?\nAnswer: 1211041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.753236 millilitres?\nAnswer: 0.009753236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*i**3 - i**2*s**2 + 1008*i*s**2 wrt i?\nAnswer: 30*i - 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - z = -2. Suppose 5*v + 19 = a - 15, z*v = 0. Suppose 3*h - 3*m - 276 = 0, -55 - a = -h + 2*m. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -669\/80 + 83\/10. What is the common denominator of 7\/152 and l?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/4193?\nAnswer: -1\/4193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5 + 1660*w**4 - 1102240*w**3 + 365943680*w**2 - 60746650880*w + 4033577618432.\nAnswer: -(w - 332)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -736827533 times -1\nAnswer: 736827533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/44492 and 13\/5880?\nAnswer: 1334760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/4*2\/(-21). Let l = 1319\/210 - d. Let m = 29131\/6974 - -3\/634. Calculate the common denominator of l and m.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12980240 and 74886.\nAnswer: 38940720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**4\/12 + r**3\/6 + 3*r**2 - 14*r. Let q(v) be the first derivative of p(v). Calculate q(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**3 - r**2 + 33287. Is l(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-15)*3*5. Let v be (2\/4 - 2)*-2. Suppose -5*a = -10*a + 15. Solve -l - 5*k = v, -x*l - a*k - 9 = -5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -10800*23\/((-414)\/2220). Round c to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, -22, -71, -124, -175, -218?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) 1\/5 (b) -1 (c) 3 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a millennium in months?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 3 + -1 - -13. Let q be (5\/(-4)*-3 + -4)*0. Suppose 4*r - 64 - x = q. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 4611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q + 744*q**2 - 732*q**2 + q + 3*q in the form l*q + n + g*q**2 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -10*h**3 + 19*h**2 - 21*h - 148. Let g be z(-19). What is g rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1220307*p**2*r + 57227078*p**2 + 5*p*r + r wrt r?\nAnswer: 1220307*p**2 + 5*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*i - 20*i**2 - 28*i)*(0*i + i + i - 6*i + 3*i + i + (0*i + 3*i - i)*(3 + 0 - 4) + 4*i - 4*i - 2*i).\nAnswer: 80*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkk. What is prob of picking 4 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -95.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3962 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3102.8 and 70.\nAnswer: 3172.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (2 - 5) + -3 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-32)\/(-56))\/(0 - 18\/21))\/((-28)\/2478)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/6 of a century?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -202 - -1014\/5. Let q = 123\/2 + -60. What is the nearest to 1\/2 in -2, d, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -99*i**2 - 9069*i + 10. Give t(-92).\nAnswer: -3578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -401 + 416. Suppose 0 = -4*l - 1 + 5. What is the smallest common multiple of l and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - -6. Let z = -34.2 + i. Let n be -9*(28\/441)\/((-4)\/(-3)). Put n, z, 1\/2, -1\/9 in descending order.\nAnswer: 1\/2, -1\/9, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 348 - 354. Calculate the highest common factor of g and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/(h*h*h**(-10)*h*h*h)*h)\/(h\/(((h\/((h\/(h**(-2\/27)*h))\/h))\/h)\/h)))\/(h**(3\/7))**(-24))**(-2\/29) assuming h is positive.\nAnswer: h**(-6506\/5481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 296303 to the power of 1\/2, to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 142723981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/37 and 36\/111*360\/160?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25923113 is divided by 44313.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/(j*j**(-29))*j*j**(-6)\/j assuming j is positive.\nAnswer: j**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -216, -499, -916, -1479, -2200?\nAnswer: -3091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 11319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**6\/6 - 2*x**5 + 4*x**4 + 2504. Solve j(u) = 0.\nAnswer: 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -537 - -529.86. Let h = 15.816 - g. Let w = h + -23. Round w to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlutuauarauu. Give prob of sequence ar.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 - j**3 + 0*j**3 - 6*j**2. Let m(c) = 2*c**2 - 860*c - 3480. Let u be m(-4). Determine s(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 339, 705, 1095, 1521, 1995?\nAnswer: 2529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.945 - -0.055. Let t = v + -25. Let c = t - -24. What is the third smallest value in c, 5, -1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 6*x + 2. Let r be i(7). Let n(f) = 3*f + 3 + 2*f - r*f. Let m(d) = -d + 1. Give -6*m(u) + n(u).\nAnswer: 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (72\/42)\/(4\/14). Let h be ((-20)\/f)\/((-15)\/45). Let j(z) = 9*z**2 + z + 3 - h*z**2 + 5*z. Determine j(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g. Let h(c) be the third derivative of 1\/24*c**4 - 13 - 2*c**2 + 11\/6*c**3 + 0*c. What is h(u(z))?\nAnswer: -z + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120212211 (base 4) in base 12?\nAnswer: 261885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 4, -56987 in descending order.\nAnswer: 4, 1, -4, -56987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/15*((-2 - 2) + -50). Suppose -1212 = 30*p - d*p. What are the prime factors of p?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -81 in 16, 3\/2, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**3 - 5*c**2 + 7*c - 13. Let a(r) = -5*r**3 + 15*r**2 - 21*r + 38. Let v(f) = -3*a(f) - 8*g(f). What is the tens digit of v(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/((-63)\/(-18)))\/(1\/2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 7\/5 + (14\/(-10) - -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -801*d + 58*d**2 + 801*d.\nAnswer: 58*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -85688 != -85659?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -101 + 95. Let d = -72 + 101. Calculate the remainder when d is divided by 24 + r + -3 + 2 + -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 984 (base 15) in base 4?\nAnswer: 201211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(20790\/36)*22?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*-3*3027\/(-450). Let g = 128227\/1600 - x. Find the common denominator of g and 149\/12.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*g - 1057*g**3 - 29*g - 33*g.\nAnswer: -1057*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-344)\/(-1376)*(-7 + 9 + -1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1736, -1677, -1604, -1523, -1440, -1361?\n\"Answer: -f**3 + 13*f**2 + 27*f - 1775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 605 and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gugu when four letters picked without replacement from gguggggguggggggggggg.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35 + 39 + 3994\/(-1008) and 103\/112.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/4)\/(-2 - (120\/16 - 10)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - 39.3. Let w(l) = -l**2 + 3*l + 1. Let x be w(3). Which is the closest to x? (a) d (b) 1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 466204, 465512, 464820, 464128, 463436, 462744?\nAnswer: 462052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1998 - 300. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/5)\/h**(-1\/5))\/(h*(h\/(h\/(h\/h**(-1)))*h)\/h*h*h\/(h*(h\/h**6)\/h*h)) assuming h is positive.\nAnswer: h**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 8*d**2 - 21*d + 10. Does 8 divide z(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/15 - (-332)\/10. Solve i*t - 35*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -52806*c**2. Let x(d) = -d**2. Give x(b(h)).\nAnswer: -2788473636*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4530 is divided by 609.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*j - 59 = 2*w, -2*w - 38 - 8 + 104 = -4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 9:34 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 186422?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1386 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvm when three letters picked without replacement from {z: 4, v: 1, t: 2, l: 3, m: 7}.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 (base 8) in base 14?\nAnswer: 1c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30.9 - 35.9. Sort k, -7, 5, 0.4 in descending order.\nAnswer: 5, 0.4, k, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 201*d**2 + 1531*d - 57. Calculate r(-8).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/4)\/(-5)*(-324)\/(-27)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 61, -3, -2 in increasing order.\nAnswer: -3, -2, 2, 4, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-8)*7\/(294\/14)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 2*k + 2*k)*(-10 + 0 + 3)*(-28783 + 28783 - 863*k).\nAnswer: 12082*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 230771?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -569d (base 15) to base 3\nAnswer: -221012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2381 + (-713)\/138 + (-1)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 206 and -0.98183.\nAnswer: 205.01817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19383?\nAnswer: 3, 7, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -7484*l. Let v(d) = 63*d + 1. Give x(v(c)).\nAnswer: -471492*c - 7484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 43? (a) 1\/420 (b) -3 (c) 10.6 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3 + 23*i**2 + 165*i + 261 = 0. Calculate i.\nAnswer: -3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 2176248\nAnswer: 13\/2176248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2*w - 91530, 2*n + 16561 - 108084 = -5*w. List the prime factors of n.\nAnswer: 2, 17, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -225 + 223.93. Let j = -1.3 - -1.37. Let w = y + j. What is the closest to w in 0.4, -5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/160)\/(1\/4).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)\/sqrt(2) - sqrt(52) - sqrt(52)) + 1 + sqrt(52))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.26563 * -8.\nAnswer: -2.12504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 410839, 410859, 410875, 410887, 410895, 410899, 410899?\n\"Answer: -2*n**2 + 26*n + 410815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-1 + 2) + (-344 - -407 - 245\/5)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*x - 276 = 120 - 128. Is x less than or equal to 406\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuduuuduuduuuud. Give prob of picking 2 d and 2 u.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*i**3 + 2*i**3 - 13*i**3.\nAnswer: -28*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 o, and 1 e when three letters picked without replacement from zezzzezzoofz.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 667900 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15352 + -15352. Put q, 3, -1588 in descending order.\nAnswer: 3, q, -1588","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/195135)\/(3\/2). Let t = 389332\/30506105 + l. Let f = t + -7083\/3752. What is the common denominator of f and -89\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -599749\/3 (b) 1\/2 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-10)\/x**(-5)*(x*x**11*x)\/x**(1\/3) assuming x is positive.\nAnswer: x**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-281637)\/(-11529))\/(6*1\/14).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/8)\/((-5)\/(-10)). Let z be (-4)\/(-5 + f)*11. Put -4, 2, z in ascending order.\nAnswer: -4, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 8*g**2 + g - 3. Suppose 2*t = o, -2*o - t = 4*t + 36. Let y be k(o). Let w = 13 + y. What is the least common multiple of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5))**(-36)\/(h**16*h**(4\/15)) assuming h is positive.\nAnswer: h**(2456\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 50027371883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 506 or 540?\nAnswer: 540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-1 - -2)\/(-3 + 2). Suppose 3*k - 4*v - 281 = 0, y = -5*k - 3*v + v + 451. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218796 is divided by 499?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 + -45 - -14 - 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3614 divide 1102721750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + j + 5. Let w be a(-4). Let q be (-69)\/w - 6\/(-15). Let v(l) = -l**2 + 7*l - 6. Let f be v(6). Sort -4, q, f.\nAnswer: -4, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + u - 2*b = -9, 0 = -2*u + 4*b - 6. Let r = -190 - -186. Sort r, 14, u, 0 in increasing order.\nAnswer: r, 0, u, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a = z - 32, 0 = z - 3*a - 29 + 25 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-1 - (9 + -18))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 5*y - 28, 21 = 4*l - 5*y. Let x = -0.6 + -1.4. Let g = 2 + x. Which is the nearest to l? (a) 2 (b) -0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i = 0. Suppose i = k + k - 8. Solve w + 1 = k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7*f - 3*f - f. Let s(x) = 65 - 35 - 30 + x**2. Give s(n(p)).\nAnswer: 121*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*r + 8890 - 29785. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2716 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -123712322 + 1486109401\/12. Let q = y + -130037. Let s = q + -91. Which is the closest to -5? (a) -1 (b) s (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-463)\/(-169) - (-3)\/(-6). Let q be ((-6)\/(-8))\/3 + (-4048)\/10816. Let l = n + q. Find the common denominator of -137\/6 and l.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -423*g = -849*g + 411*g - 159840. Are g and -10658 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -141*a - 379. Give u(-4).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*6\/(5\/((-260)\/273))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1\/9, -2, 4\/7, 7\/2, -9, 0 in decreasing order.\nAnswer: 7\/2, 4\/7, 0.1, 0, -1\/9, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 3*r**2 + 4*r + 3. Calculate n(4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 2*o**2 + 47*o + 102. Determine h(-6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 406, 411, 418, 427, 438, 451?\n\"Answer: w**2 + 2*w + 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002263 rounded to seven decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 8:49 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.3 + 11.2. Let j be 4\/(-9) + 4\/6. Which is the closest to f? (a) 4 (b) -6 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + 1. What is the highest common factor of x and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2302368*z**3 - 283137*z**2 + 1 wrt z?\nAnswer: -13814208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35f97 (base 16) in base 4?\nAnswer: 311332113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*m - 594 = 111*m + 132*m for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -14. Let y(k) = -9*k**d + 7*k + 7*k + 422 - 419. Let v(t) = -3*t**2 + 5*t + 1. What is -8*v(w) + 3*y(w)?\nAnswer: -3*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/sqrt(9))\/sqrt(2) - (-2*sqrt(11) + sqrt(11) + -3)**2.\nAnswer: -20 - 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*o - 145 = -5. Suppose -o*g = f - 4*g - 145, -3*g - 6 = 0. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, t: 9, m: 2, l: 4}. What is prob of picking 1 q, 2 t, and 1 l?\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -15*k**4\/2 + 13*k**2\/2 + 151*k + 1. What is the derivative of c(r) wrt r?\nAnswer: -180*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*h + 5*o, -22*h + 24*h + 3*o = 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 643 = 3*q + 10. Suppose q + 69 = 4*r. Suppose -3*k + r = 2*k. Solve 0 = 4*z - k - 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -5*m**4\/2 - m. Let h(a) be the first derivative of a**3\/3 - 321. What is h(x(u))?\nAnswer: 900*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*p**2 - 30*p**2 + p - p to q + m*p + g*p**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 32*s + 329. What is i(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3 + 9. Let z(i) be the first derivative of -1\/3*i**o - 1\/2*i - 2 - 3\/4*i**2. Factor z(r).\nAnswer: -(r + 1)*(2*r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 403 + 68*o**2 + 598 - 8*o**2.\nAnswer: 60*o**2 + 1001","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 3. Let t be k(4). Let z be ((-42)\/(-4))\/((-3)\/4). Is 4\/z + (-86)\/t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 14*r**4\/9 - 17170*r**3 + 24196790*r**2\/9 - 2289390*r - 3437764\/9 = 0.\nAnswer: -1\/7, 1, 158, 10879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248 = 5*r - 277. Suppose 3*u - r = -4*y, 2*y - 4*u - 11 - 69 = 0. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 + 48. Solve t - 4*r - 10 = -25, 3*r = z*t + 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/((-153)\/(-72)))\/((55\/5)\/22).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6*x - 6)*(0*x + 0*x + 2*x)*(10*x + 3*x + 3*x).\nAnswer: -192*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 - 9237*r + 10568862.\nAnswer: (r - 7899)*(r - 1338)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -49 + 16 + 48 + 71 - 3*l**2 + 182 in the form d*l**2 + z + g*l and give z.\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000100010 (base 2) in base 5?\nAnswer: -4141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 3*o**2 + 3*o + 1. Let g be t(3). Suppose -2*f - 83 = -n - 4*n, -22 = -2*n - 2*f. Let i = n + g. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-1 + -3 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62 + 1 + (-26 - 21) + 15.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6*s**2 - 2*s**2 + 5 - 2*s**2. Let v = 1 + -5. Is t(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 27 = 48 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - (55 - 37 - ((11 - (8 + -2)) + 3))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2038485979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/(-4) + (-18)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -10 - 86. Calculate the remainder when a is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -2, -3, -0.2, -0.4, -1\/22.\nAnswer: -3, -2, -0.4, -0.2, -1\/22, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**3\/6 - k**2\/2 - 2073*k. Let s(t) = 3*t - 3. What is 15*i(h) - 6*s(h)?\nAnswer: -3*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*d = 0, -4*d = -5*g - d - 34. Let q be 2\/1 + (g - -2). Let y = -20.946 + -0.054. Which is the third smallest value? (a) q (b) 4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -32*q. Let v(x) = 164*x + 113. Let r(s) = 5*n(s) + v(s). What is r(-30)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*c - 5*l = -18*c - 27*c - 27, 4*l = c + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5564826 or -5564828?\nAnswer: -5564828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160320241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*c + 117. Find the common denominator of -101\/12 and (4 - (0 - -3)) + 54\/c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wpwg when four letters picked without replacement from {p: 2, o: 3, f: 1, g: 2, w: 3, e: 4}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 50*n - 27. Let s be q(-26). Which is greater: s or -1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-12)\/(-14)*((-297)\/81 + 6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19901*q**4 + 12*q - 364390.\nAnswer: 79604*q**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4029 = -3*a + c + 4959, 0 = -5*a - 3*c + 14994. What is the highest common factor of 148 and a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3667, 7335, 11003, 14671, 18339, 22007?\n\"Answer: 3668*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1993 and -2.\nAnswer: 0.3986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, 1\/142, 16, 5, -2.3?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 32e - -5b?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1143 + -41020?\nAnswer: -42163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/7 - 33*c**3\/7 - 47*c**2\/7 + 465*c\/7.\nAnswer: -c*(c - 3)*(c + 5)*(c + 31)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7*b + 8. Give s(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 10:11 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 2*l**2 + l. Let h be (-2)\/5 + (-24)\/(-10). Let q be c(h). Suppose 2*j + 0*j = -5*u, 2*j = q*u. Solve j*z - 15 = -5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 145 in -0.1, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 5:48 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 - 101. Let n be 43 + 0 - (-18 + 16). Let p be (-2)\/(-6) + (-33)\/n. Which is the smallest value? (a) p (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 120, 5, 248, -3 in increasing order.\nAnswer: -3, 2, 5, 120, 248","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2 - (-4 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from {q: 3, d: 1, v: 4}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.043 - 43.043. Let d = 128 + v. Let o = d - 90.1. Round o to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.7 and 5059630.55809.\nAnswer: 5059629.85809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52479 and 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 4, -1.\nAnswer: -1, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9542668mm to micrometers.\nAnswer: 954.2668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -33b8 (base 16) to base 8\nAnswer: -31670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/3 + 3*c**2 + 8*c + 16\/3.\nAnswer: (c + 1)*(c + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58914\/(-9819)*(-10)\/(-48).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**5 - z**4 + z**2 - z. Let m(h) = 17*h**5 - 215*h**4 - 1101*h**3 - 1319*h**2 + 893*h + 1752. Let o(d) = 9*b(d) + m(d). Factor o(s).\nAnswer: -(s - 1)*(s + 2)**3*(s + 219)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27854 is divided by 2785.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 60856891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ananec. What is prob of sequence cea?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12394 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 12:24 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + 1 - 1)*((3*h - 9*h - 5*h)*(7*h + h**2 - 7*h) + 11*h**2 + h**3 - 11*h**2) to t*h + g*h**4 + k*h**2 + o + i*h**3 and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/11816 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 13*c**2 - 16. Let i be r(-13). Find the common denominator of 27\/4 and (3 + (-2103)\/711)\/(i\/(-228)).\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4680 and 60?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -0.230722.\nAnswer: -1.845776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.45433 + 238874.60035.\nAnswer: 238875.05468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 t, and 1 v when four letters picked without replacement from {i: 2, q: 2, v: 7, t: 4, j: 2}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 10 = 24. Suppose 0 = -r*g + g + 402. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-2))\/(8 - 215\/27). Suppose -b + 5*b = 2*l, 3*b - 14 = -2*l. Suppose 0 = -l*m - 8, y + 6*m = 4*m + z. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 3 + -3 - -5 - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102460.\nAnswer: 2, 5, 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -7*s + 4*s + 65, -2*s = -4*n + 218. What is the highest common factor of n and 1960?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4 + sqrt(75) + -1 - sqrt(75)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1223 or 150?\nAnswer: 1223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -513\/2590 + -3\/185. Let v = x - 19\/42. Which is the third smallest value? (a) 4\/3 (b) v (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30381.22 to the nearest 10.\nAnswer: 30380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*y - 3*g, -4*y + 8*y = g + 9 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5\/11, 0, -5, -0.12, 6?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f - 104 = -4*f - 14 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 3*m + 32, 0*j - 2*m = -5*j + 17. Suppose -n - 3*a = -2*a + 22996, 3*n + 69020 = j*a. Round n to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 10 - 7)*(-28*c - 23*c - 14*c + (-5*c + c + 2*c)*(-2 + 2 + 1)) as y + a*c and give a.\nAnswer: -536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -13 - (10\/5 - (2 - 0)). Which is the second smallest value? (a) -1 (b) y (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.429 * -33116.\nAnswer: 113554.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*z + 818 = 4*z, -4*z = -2*b - 1666. Let h = b + 2922. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(4 + 9\/3). Suppose 5*y - 43*d - 18 = -39*d, 4*y - 3*d - 13 = 0. Sort z, y, 3, -1 in descending order.\nAnswer: z, 3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6035 - 51017 = 918*j for j.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 - 7*m**2 + 7*m**2 + (4 - 4 + 1)*(3*m**3 + 22*m**3 - 4*m**3) + m**3 - 3*m**3 + 0*m**3.\nAnswer: 18*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 8*i**2 - 6*i - 3. Let z be x(7). Suppose 0 = -0*k + 2*k - z*w + 4, 4*k - 2*w - 4 = 0. What is j in -2\/3*j**k + 2\/3*j + 2\/9*j**3 - 2\/9 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + -20 + (2 - (5 - -10)) + (0 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 21190660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -1\/5, -3 in increasing order.\nAnswer: -3, -1, -1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 26*o**2 + 53*o + 120. Let j be c(-24). Solve j = 2*i + 4*m + 8, -5*i + m - 25 = -5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - 1*sqrt(700) - -5*(2*sqrt(7) + sqrt(7)) - sqrt(49)\/sqrt(175)*-1)**2.\nAnswer: 6727\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1544 - -12042?\nAnswer: 10054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 25*p + 145 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -449*j**2*w**2 - 1645*j**2*w + 34*j*w + 42*w**2 wrt w?\nAnswer: -898*j**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20665 - 578511\/28. Find the common denominator of g and 3 + 1 + 2*1146\/(-336).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -71536.\nAnswer: -71536.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.9 - 2.6. Let m = -0.3 - 0. Sort m, k, -0.1 in descending order.\nAnswer: k, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12476337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2507 a factor of 18963221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*p = 1267*p + 407*p + 46197 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*s - 2172 + 115. Calculate the highest common divisor of s and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 276*h**3 - 137*h**2.\nAnswer: 1656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*s - 15. Suppose 4*q - 5*q = m - 38, -q = -m - 40. Let v = -42 + q. Sort 3, s, 5, v in increasing order.\nAnswer: v, 3, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 10*c - 28. Let i(j) = -5*j + 14. Let h(z) = -5*i(z) - 2*n(z). Calculate the least common multiple of (1\/2 - -1)*6 and h(5).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 + 270*h**2 - 532*h. Determine t(133).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -2. Suppose 0 = o*l - 2 - 3. Let d = l - -7. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*j - 2*j - 105, -t = -5*j + 297. Let i = j - 59. Solve i = -p - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 1251.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by (-8)\/(-32) + 47\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 6*u = -5*u - 543, -2*x + 3*u = -351. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**4\/12 + 2*u**3\/3 + 2*u**2 - 18*u. Let c(i) = -i - 1. Let s be (9\/18)\/((-9)\/(-6) - 3)*-12. Determine s*c(w) + n(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 9:58 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 4*w**2 - w**2 + 9 + 0*w**2. Let n(u) = -2*u**2 + 4. Determine -3*g(x) + 7*n(x).\nAnswer: -2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 5274?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 + 78. Suppose 36*y = 1150 + 1118. What is the remainder when y is divided by n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*o + 3090 = -4020 for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2301992 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 36*k + 0*k**2 + 23\/3*k**3 + 5*k**4 + 1. What is the second derivative of x(l) wrt l?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17834880 a multiple of 896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 - 10?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, v: 1, w: 3, n: 3, a: 1}. What is prob of sequence law?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {f: 9, s: 3, u: 4}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 + 2*k**2 - 2 + 2)*(5*k - 364 - 470 + 610).\nAnswer: 5*k**4 - 214*k**3 - 448*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-1)*196\/(-84).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -1197 - 2641. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00112624671 rounded to seven dps?\nAnswer: -0.0011262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 22*k**2 + 131*k - 100. Let h be b(-8). Suppose 0 = 5*v - 0*v - 200. Suppose w - v = -w. Calculate the highest common factor of h and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 25 = -0*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -278*t - 2082. Give v(-3).\nAnswer: -1248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2010800 to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/5 - (-6)\/15. Suppose p = -2*j + 2*x - 16, j + x + 21 = 0. Let b be -1 - 0 - (j + 1). Calculate the greatest common factor of 112 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91 (base 10) to base 9\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76480046.\nAnswer: 2, 229, 166987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4356.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by -1 + 5\/7 - (-4864)\/266.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39\/4 + 133\/12. Let n be 1 + 5 - (3 + -6). Let o(k) = k - 7. Let x be o(n). Which is smaller: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 1. Let z be w(-1). Solve -3*t = p + 2*p - 21, 3*t - 3*p - 3 = z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**3 + d**2\/2 + 2*d + 15. Let x be r(-1). Solve -4*u - x = -0*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 315 = f, 3*y - 1651 = -5*f + 4*y. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 82*q**2 + 2*q. Let z be u(-1). Find the common denominator of (-11)\/(-2)*z\/(-32) and 39\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -1053*h - 23147. Give x(-22).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 651067 + -368802. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - -1) + -21 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8042642 is divided by 804257.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 46*u + 1192. Give m(-9).\nAnswer: 778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 105 - 527\/5. Sort 0.3, 3, p.\nAnswer: p, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 242\/2729?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvx when three letters picked without replacement from nlllnlxxlxcunllvlcl.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 57999*l - 2. Let z(x) = 75*x. Give r(z(k)).\nAnswer: 4349925*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + r**3)*(3 - 3 + 2) - 7*r**3 + r**3 + 3*r**3)*(0*r - 2*r**2 + 0*r).\nAnswer: 2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*i**2 - 2 + 195*i**2 + 2.\nAnswer: 255*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27685902 and 1626.\nAnswer: 1626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/154 (b) 166 (c) 0.3 (d) -4 (e) -8 (f) -2 (g) -8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 8:52 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 151334 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/20 of a kilometer?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2 = -2*u, 0 = 2*s + s - u + 2. What is the common denominator of 29\/6 and (5\/40)\/(s\/106)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*h + q, -2*h - 2*h = 4*q. Suppose -x - h = -8. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14888, -14805, -14666, -14471, -14220, -13913, -13550?\n\"Answer: 28*s**2 - s - 14915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/6*2052\/855)\/(4\/(-34))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 - 41. Suppose d*r = 34*r - 21832. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51065, 51052, 51027, 50984, 50917, 50820, 50687?\nAnswer: 50512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 9. Suppose -c + d = c. What is the second derivative of 4*a**5 + 4*a - 3*a**5 - a**5 + 4*a**c wrt a?\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-2 - 5 - -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63*c**4 + 3*c**3 + 121*c**4 - 51*c**4)*(29 - 29 - 2*c).\nAnswer: -14*c**5 - 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) 19 (b) 1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10585083?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101 + 24404?\nAnswer: 30010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*f**2 + 0*f**3 + f**4 - 2*f**3 + 17 + 35 - 52 in the form g*f**4 + i*f**3 + d*f + p*f**2 + c and give p.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 413.3037cm?\nAnswer: 4133.037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h**3 - h**2 - 4*h - 2. Calculate the remainder when 21 is divided by c(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.47 + -0.77. Which is the third biggest value? (a) -438 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20 and -5.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*m - 12*m + 21 + 3*m)*(2*m**3 + 0*m**3 - 4*m**3) + 10*m**4 + 4*m**3 - 9*m**4 - 3*m**4 to v*m**3 + z + q*m + n*m**2 + w*m**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 24 = -1. List the prime factors of q\/((-5)\/2) - -37.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73 (base 11) to base 4.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + b - b + (-96 + 96 - 54*b)*(1 - 6 + 3) + (-2*b + 0*b + 4*b)*(-2 - 4 + 5).\nAnswer: 105*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -132*k**2. Let z(l) be the first derivative of -l**3 + 701. Give m(z(d)).\nAnswer: -1188*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 4. Find u such that 1 - 3*u**2 - u**3 + 4*u**2 + l - 4 + u = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -7. Let v be (-1)\/3*d*-1. Factor v*g + 4\/3*g**4 + 0*g**2 + 2\/3*g**3 + 2\/3*g**5 + 0.\nAnswer: 2*g**3*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*-0.213.\nAnswer: -0.1704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 369817, 1479309, 3328463, 5917279, 9245757, 13313897, 18121699?\nAnswer: 23669163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.2 and -134.5459.\nAnswer: 296.00098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -17000 to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*i - 147, -2*b - 3*i + 192 = 92. Solve 0 = 75*j - 34*j + b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 13) to base 4\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -9016*s**2 + 8*s - 377. Let o(j) = 24043*j**2 - 21*j + 1019. Let u(q) = -21*k(q) - 8*o(q). Let r(x) = 51*x**2 + 4. Determine -235*r(d) - 4*u(d).\nAnswer: 47*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 34c3 (base 15) in base 14?\nAnswer: 4128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54584340 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/258 and 109\/3690.\nAnswer: 158670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -1982*p**2 - 25378*p - 24. Let a(q) = 662*q**2 + 8459*q + 9. Let x(t) = -8*a(t) - 3*m(t). Find the second derivative of x(w) wrt w.\nAnswer: 1300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 78656 to the power of 1\/2, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 - 0.98. Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54\/5 of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24745 (base 8) to base 13\nAnswer: 4b60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 7*z + 12. Suppose -z*v + 2*s - 7 = -1, 5*v + 15 = 5*s. Solve v*d = -3*d + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + 4)\/(-14 + 16 - (2 - 2)). Solve -287*z + 280*z - 21 = i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24572?\nAnswer: 2, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000184 to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 11:45 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + -5 + 7 + 30?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((9 - 3) + -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 m when three letters picked without replacement from {u: 6, m: 4}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6464124 (base 7) in base 3?\nAnswer: -1111002021000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/3320 and -77\/1067380.\nAnswer: 2134760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 391800616 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 13. Let j(l) = -23*l - 6*l - 8*l + 31*l. Let y(a) = 2*a + 0*a + a. Give g*y(w) - 4*j(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, -9, -4.\nAnswer: -9, -4, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + j. Let h(v) = -3*v**3 - v. Suppose 0 = 15*s - 3 - 12. Give s*h(t) + 4*x(t).\nAnswer: t**3 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -112.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2393*g**2 - 114*g - 1. What are the prime factors of k(1)?\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/33)*g\/g**(-11) assuming g is positive.\nAnswer: g**(394\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 5*v - 15, 2*v + 0*a + 4*a = 0. Calculate the lowest common multiple of v and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5055 + -2964. Is y a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 259958596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*o - 5*o - 6*o - 20*o to d*o + l and give d.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from jmbljblwwwbbblwwjb.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 521 is divided by 260.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 1.2 (c) 7\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, e: 1, l: 3, b: 3, c: 1}. What is prob of sequence ellb?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 - -50.9. Let m = -1.6 - u. Let s = 0.5 - 0.9. What is the smallest value in s, m, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 17*d**2 + 117*d + 117. Let c be o(-1). Let f(x) = x**3 + 12*x**2 - 15*x + 8. Let s be f(-13). What is the highest common divisor of s and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*m - 2*m + 2*m)*(-m**2 + 2 - 2) + m**3 - 2*m**3 - 3*m**3 - 6*m**3 + 3*m**3 - 2*m**3)*(0 + 0 + m).\nAnswer: -11*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 3:34 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 77*v**2. Let k(u) = -308*u**2. Let i(w) = -5*k(w) - 21*z(w). Let t(a) = -2*a**2. Determine i(t(g)).\nAnswer: -308*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -4, -1\/9, 32, 0.144?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -21*f - 2. Let b(q) = 0 - 1235*q - 1 + 1256*q + 4. What is 2*b(w) + 3*n(w)?\nAnswer: -21*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(8\/3)\/c)\/c)\/(c\/(c**(-1)\/c)*c) assuming c is positive.\nAnswer: c**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*q + 10 = -7*q, -5*v = -4*q - 19. Suppose -2*o + 44 = -v*j, 0*j - 13 = -o - 3*j. Let m = 33\/2 - o. Sort -3, m, 0 in increasing order.\nAnswer: -3, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -321?\nAnswer: -4\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l + 0*l - 1 + 2*l. Let t(z) = z. What is -3*t(b) - 2*v(b)?\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 + 181 + -67 - -20?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -161 - -164. Solve d*t + 4 = 4*k - 0, 2*k + 3*t - 2 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-16)*16\/36.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 5 - 3*a**2 + 3*a**2 - a**2 + 0*a**2 + (-a**2 - 5*a**2 + 5*a**2)*(2 + 0 - 1) - 6 - 3*a**2 + 6 to o*a**2 + p + d*a and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*j + 8*w - 3*w, -5*j - 5*w = 0. Let f = 13 + -7. Calculate the remainder when 43 is divided by (-6)\/(j - 0)*69\/f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*g + 0 + 0)*(g**2 - 5*g**2 + 3*g**2) - 4*g - g**3 + 4*g)*(87*g + 390 - 390) to the form p*g**2 + r*g**4 + h*g + b*g**3 + i and give r.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + p + 1. Let y(l) = 10*l**2 - l - 2. Let x(f) = 4*c(f) + y(f). What is the remainder when x(-1) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + v - 5. Let q(m) = -21*m + 2. Determine q(y(s)).\nAnswer: 21*s**2 - 21*s + 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 7603410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.870739155 rounded to 4 decimal places?\nAnswer: 0.8707","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -741303, -741276, -741253, -741234, -741219, -741208?\n\"Answer: -2*c**2 + 33*c - 741334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2530 and 43109?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2 + 22*o - 61. Let r be c(-13). Calculate the highest common divisor of 100 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 18544064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, 14, -2\/3.\nAnswer: -2\/3, 3, 9, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 114 - 107 = 0, 143 = 3*x - 5*l. Calculate the smallest common multiple of x and 882.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a minute?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -494695 (base 11) in base 5?\nAnswer: -200012002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 7*d**4\/4 + 25*d**3\/3 - 277*d**2\/2 - 106. What is the second derivative of k(i) wrt i?\nAnswer: 42*i + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9867 + 9872. Solve 0*k - 5*k = q + 31, 4*q + n = -3*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 10:54 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-12 - -12 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, -3, 1\/123, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 9:42 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.1, 3\/2, -2\/9, -5\/811, 7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -482340 > -482343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -19 - 1. Put 7\/2, 0.1, f in decreasing order.\nAnswer: f, 7\/2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1490 - -1.42202058339.\nAnswer: -1488.57797941661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24.925 + -0.075. Let z = -25 - j. Let w = 3.95 + 0.05. Which is the closest to -2\/7? (a) z (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5454.422 years to months.\nAnswer: 65453.064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 0*h + 0*h**2 + 6 + 1\/3*h**3. Let g(z) = -3*z - 2*z**2 + 3*z. Calculate k(g(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 62476.668 and -4.\nAnswer: -249906.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**4\/24 - 5*t**3\/6 - 13*t**2 + 21. Let i(l) = -l - 1. Determine -10*i(j) + 2*n(j).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bll when three letters picked without replacement from okbkelkodkollkoll?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34 by 379.\nAnswer: -34\/379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 24*k - 17. Let v be w(-16). What is the highest common factor of v and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 24*p**4 + 14*p**2 + 23*p**4 + 21*p**4 - 75*p**4 - 80*p**2 to q + t*p**2 + m*p**4 + o*p**3 + y*p and give t.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 16, 33, 56?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(385\/(-28)))\/(14\/(-5)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*s = 16, -2*v + 4 = s - 3. Suppose 3*t = 46 - v. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/12*8*-1*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3098*c**2 - 6191*c - 2. Give w(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 4, -40, 1\/6 in descending order.\nAnswer: 4, 1\/4, 1\/6, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -751 - -751. Suppose -2*n - o + 6 = o, -5*n = 4*o - 14. Let q(w) = w**2 + 6*w - 5. Let b be q(-7). Solve 0 = -d*u - n*u - 2*v, -5*u - 4*v + b = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 16*g**2 - 14*g - 11. Let p be s(15). Suppose -4*v - 52 = c, p*c + 143 = 2*c + 5*v. Round c to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 10:13 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*z + 822 + 309 = 209 + 142 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**3 + 0*d**3 - 15*d - 3*d**3 - 5*d**3 wrt d.\nAnswer: -36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 268.775 - -0.225. Let x = y + -268.8545. What is x rounded to 2 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*(-1 + -2 + sqrt(720)*-1 + sqrt(720) + sqrt(720))*-3)**2.\nAnswer: -2160*sqrt(5) + 26145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**2 - m**2 - 3*m**2 + (-4*m + 0*m + 3*m)*(-8*m + 22*m + 8*m) - 4*m**2 + 5*m**2 + 4*m - 3*m**2 to j + y*m**2 + u*m and give y.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8845 and 1275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + z + 2*z - 2 + 2 + (4 - 4 + z)*(5 - 1 - 3) + 2*z + 0*z - 13*z - 1.\nAnswer: -7*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -71*f**2 - 21*f - 2. Let b(o) = 284*o**2 + 85*o + 9. Let m(j) = -2*b(j) - 9*p(j). Find the second derivative of m(t) wrt t.\nAnswer: 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/295535 and -26\/25.\nAnswer: 1477675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/2 - 51\/6.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 121 - 19. Suppose 6*r = -x + 3*r + 31, i = 4*x + r. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (630\/35)\/(2\/218).\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 + 94*l - 6*l - 48*l.\nAnswer: l**2 + 40*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*-56*(-576)\/896.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/(-95))\/((48\/15)\/4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from {b: 2, c: 1, k: 7}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 683614*b*d**2 + 131*d**2 + 18199 wrt b?\nAnswer: 683614*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 617713 (base 15) in base 5?\nAnswer: 2141211333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 3*k**2 - 3*k + 1. Let b be s(2). Let y be (-14 + 0)*(b - 0). Suppose 2*r - 22 = -3*j, 0 = -2*r - j - 0 + y. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2894149*a = 2894165*a - 144 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m + 4*m - 13*m - 297635 = 0. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -18 + 3\/2*m - 7\/4*m**2 + 5\/6*m**3 - 1\/8*m**4. Factor s(o).\nAnswer: -(o - 3)*(o - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 7:12 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-6)\/5)*64\/(-128)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16502 divided by 223.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*(-33 + 1)*8\/(-20). Let c = 410 - j. Suppose 4*w = 82 + c. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2271895341 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0274025804 to three dps.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/29 (b) 8 (c) -8\/9 (d) 1\/2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114975 * 123.\nAnswer: -14141925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3588992?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.8273482 - 30.\nAnswer: -43.8273482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 525 and 300.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*h + 97 = 82*h - 1955 for h.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -7*u**2 + 0 + 1\/6*u**3 - 7\/12*u**4 + 0*u. Let r be v(-1). What is the greatest common divisor of r and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 31 (b) 1 (c) 2\/7 (d) -32 (e) -0.5 (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2759300188 to the nearest integer?\nAnswer: 52529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 49144449 divided by 2631\nAnswer: 18679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/(-75))\/((-1)\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10728 + 21649. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40255719 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -1 + 5*v**2 - 5 + 3 + 7. Let f(z) = -6*z**2 - 3. Determine 4*f(g) + 3*i(g).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 135798.3 litres in millilitres?\nAnswer: 135798300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1198 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 6*t + 5*t + 49, -p + 3*t = 3. Suppose -4*n = -p*n + 320. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-29)*((p*p**(2\/5)\/p)\/p*p)\/p*p*p**(-2\/93)\/(p**(-4\/9)\/p) assuming p is positive.\nAnswer: p**(-37912\/1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 - 9*d. Let s(n) = 3*n**2 + 11*n + 1. Let l(h) = 3*s(h) + 4*u(h). Let o be ((-160)\/48)\/((-4)\/6). Determine l(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*k + 1408 = -10*k - 4754 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6094 = -600*b - 2494 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -2*h. Let k be (-62)\/5 - 8\/(-20). Let i be -1 + (-7)\/(14\/k). Sort i, -4, h in descending order.\nAnswer: i, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204 a factor of 189648060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2944.2 or -36?\nAnswer: 2944.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 6*q**2 - 7*q + 3. Let j be n(5). Suppose 3 = -h + 4*h. Let y = h - j. What is the remainder when 22 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 27*p - 32 - 22*p + 6 + 17. Let b(g) = 9*g - 17. What is -7*a(w) + 4*b(w)?\nAnswer: w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*f**3 + f**2 + 449*f.\nAnswer: -96*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 10*h - 1. Calculate f(-3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.21 - 2.31. Which is the second biggest value? (a) -1\/2 (b) i (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.96 + 0.04. Suppose 0 = -4*j - 5*q + 14, -4*j = -0*q - 4*q + 4. Let c = -5707 + 5705. What is the nearest to b in 3\/5, c, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 76*d + 588. What is the lowest common multiple of 81 and m(61)?\nAnswer: 13527","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2685 from 7.\nAnswer: 6.7315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.32 and 4.\nAnswer: 1.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*o + 37, v - 25 = -5*o - 4. Let u(p) = 5 + 5*p**2 - 17 + v. Let w be u(1). Solve -w*f + 1 + 14 = -l, 0 = 5*f - 5*l - 30 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36044909.\nAnswer: 31, 97, 11987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -1809*p - 160971. What is v(-89)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13004, 26013, 38988, 51911, 64764?\n\"Answer: -3*i**3 + i**2 + 13027*i - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*i + 14*i - 5*r + 393, 2*i - 751 = -3*r. Calculate the remainder when i is divided by 81.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/((-4)\/(-2)) - (-209 - -204)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (220 + 82*a**2 - 220)*(a - 2*a + 2*a) + (4*a**3 - 5*a**3 + 2*a**3)*(3 - 31 - 12).\nAnswer: 42*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-4 - -7 - 1) + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2. Let z(v) = 3*v + 6. Suppose -6*u = -60 + 54. Let g(x) = u*z(x) - 3*i(x). Let b(n) = 3*n - 8. Determine g(b(o)).\nAnswer: 9*o - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/4 - (23 + 1). Let i = d + 89\/4. Let g = -2292 - -18293\/8. Calculate the common denominator of g and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - l = -9, -221 = 4*l - 197 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160456 is divided by 38312.\nAnswer: 7208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k**2 - 8 + 10*k - 4*k**2 + k**3 + k**2. Let b be c(6). Let j = 79 - b. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 42 - 393*b**3 + 18 + 18.\nAnswer: -393*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14150 - 4?\nAnswer: -14154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**4)**20\/(i**(-4\/7)\/i**0) assuming i is positive.\nAnswer: i**(704\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-5))\/((-1)\/10)*159\/2040606*186.\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**3 - 22. Let v be y(5). Let f = 1482 + v. What are the prime factors of f?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 56. Let s be w(0). Suppose -4*r = -4*v + 116, -3*v + s + 35 = -4*r. Calculate the remainder when 63 is divided by (-3)\/5 + 415\/v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m - 6. Let p(u) = 127*u + 391. Let a be p(-3). Determine b(a).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.21 (b) 52 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 7. Let u(r) be the second derivative of -r**3\/6 + 4*r**2 - 3*r + 67. What is -7*o(y) + 6*u(y)?\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*u - u**2 + 615 - 21*u.\nAnswer: -u**2 + 615","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6095000 rounded to the nearest 100000?\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -671.078512 to the nearest integer.\nAnswer: -671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -4\/7 (c) -1\/131 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -12*h**3 + 5*h**2 - 5. Suppose -4*m + 9 = 3*x - 14, -3*x = -3. Let g(l) = -m*l**2 + 18*l**3 - 11226 - 2*l**2 + 11233. Give -5*g(v) - 7*t(v).\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**5\/60 + r**4\/8 + r**3\/3 + 25*r**2. Solve c(q) = 0 for q.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + -30. Let d = -31 - p. Suppose 3 = -d*j + 39. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*n**5 + 20*n**4 + 2*n**3.\nAnswer: -2*n**3*(n - 1)*(11*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - -27125126.\nAnswer: 27125126.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + n + 2*n)*(1 - 1 + n**2) - 41*n + 41*n + 45*n**3 + 12*n**3 - 2*n**3 + 0*n**3.\nAnswer: 56*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2337 and 18884805?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/16*(-4)\/2)\/(-10)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*m = -114. List the prime factors of m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -21\/17 and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 15 + 134*w - 3.\nAnswer: 134*w - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -2 - (49 - 6 - 38) - 23\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/(l*l*l\/l**(-3\/25)))*l\/(l\/(l*l**(-5)*l))*l*l**(-27)*(l*l**(-1\/2)*l)\/l assuming l is positive.\nAnswer: l**(-1269\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + a**2 + a - 70. Give g(7).\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 + 16*v - 11. Let d(z) = -z**2 - 5*z + 4. Give -7*d(p) - 2*j(p).\nAnswer: p**2 + 3*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 3*l = 11, -6*w = -5*w + 2*l for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 3*h + 2, -143*b + 2*h = 141*b - 282*b - 8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 489 and 212457460.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnxxxxxxu. What is prob of sequence xux?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47709100?\nAnswer: 2, 5, 477091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*c - 216 = 0. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1. Suppose 0*u + u - 2*a = -k, 7 = 2*u - a. What is the remainder when (-88)\/(-440) - (-268)\/10 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -732455*b**2*w*y**2 + 2*b**2*w*y - 12*b**2*w - b**2*y + b**2 + 6*b*y + 15*w wrt y?\nAnswer: -1464910*b**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -33. Calculate the highest common factor of 15 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 632379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -4*t - 16, -27049 = 12*t + 9*u - 26989 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-31)\/(-2) - 10\/20. Suppose -3*x + 29 = 2*s - f, -4 = -x + 2*s. List the prime factors of 2\/1 + 27 + (x - 15).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d260c (base 15) to base 9.\nAnswer: 1224813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 21*y + 1114. Give o(-50).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43837 * 5422.\nAnswer: 237684214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.045 + -1.855. Let u = -3.55 + v. Let h = u - -0.36. Which is the closest to 1? (a) -3 (b) 2\/21 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -9*d + 7. Let j(i) = -5*i + 4. Let x(p) = 7*j(p) - 4*n(p). Let g(u) = -u. Suppose 0 = -3*a - a + 4. Let f(o) = a*x(o) - 6*g(o). What is f(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*14\/(-231)*((-30)\/(-16) + 96\/(-64)).\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -18, 25.18, -1?\nAnswer: 25.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 + 11*a + 23. Let p be c(-3). Differentiate 12 + p + 6 + 64*y + 3 wrt y.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, 5, 0.16, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29590592, 29590597, 29590604, 29590613, 29590624, 29590637?\nAnswer: 29590652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 4*t - 29. What is a(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/10 + (-7)\/(-35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 423 and 4465?\nAnswer: 40185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (((-2448)\/85)\/24)\/((-7)\/(28\/(-6)))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 155*j**3 - 12*j**2 + 10*j**2 - 21320*j**4 + 21322*j**4 as k*j**4 + v*j**3 + m*j + o*j**2 + p and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.017875 - -0.018. What is c rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4647 + 4646.8. What is the nearest to x in 7, -7, 6\/11, -5?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338990550.\nAnswer: 2, 3, 5, 2259937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence emme when four letters picked without replacement from {e: 9, m: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 - 10*d**2 + 51*d + 99. Give z(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**2 + 6*v**2 + 7*v**2 - 7*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 39708715483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**3 - 2*a + 1. Let x be r(1). Suppose 42 - x = 4*l. Let c be l\/25 - 69000004\/10. Round c to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1338 divided by -18.\nAnswer: 223\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 11*r + 2*r - 22.\nAnswer: 13*r - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z - 9*z + 3*z. Let i(k) = -2*k**2. Determine i(f(o)).\nAnswer: -288*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 7. Suppose -n = -d*n + 12. Let x be 315\/(-10) + n\/6. What is x rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -428796*p - 1286397. Give m(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(18\/12)\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56.6 * -0.047674.\nAnswer: 2.6983484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1302 + -1297. Solve -16*s - 22 = -g*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 - 10*k**2 + 20 + 12)*(1 + 5*k**2 - 1).\nAnswer: -50*k**4 + 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*w + 1. Let p be 8\/(-6)*(-1)\/4. Let t = 0.973 - -0.027. What is the nearest to w in p, -2\/9, t?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-3)\/(63\/(-98)))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -61*r + 1. Suppose -5*k = -0*k + 40. Let l = k + 7. Is n(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -6573 + 23593. Suppose -a = -16*l + 1236. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 17 = 4*y, -3*g - y - y + 19 = 0. What is the second derivative of 5*n**4 - n + 6*n**g - 10*n**3 + 4*n**3 wrt n?\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*k + 112 - 58 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*w + 3*w - 62*w + 1106 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001 + 10110010001100110?\nAnswer: 10110010000011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -50.40977 and 37.\nAnswer: -13.40977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 619192 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1844*z = -1853*z + 4320. What is the greatest common factor of z and 420?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 136. Let z = d + 115. Sort 2, 4, -4, z in increasing order.\nAnswer: -4, z, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(468) + sqrt(468) + 0) + sqrt(468) + sqrt(468) + 4*sqrt(468)*-4 + -4)**2.\nAnswer: 480*sqrt(13) + 46816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzzz. What is prob of sequence zz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 9:05 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -6*c**4 + 5*c**3 + 5*c + 2. Suppose 5*h - h = -4. Let l(a) = a**4 - a**3 - a - 1. Let r(t) = h*n(t) - 5*l(t). Differentiate r(u) wrt u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13948 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122137 (base 10) to base 3.\nAnswer: 20012112121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 16*g - 7. Let p(c) = 5*c - 2. What is 7*p(l) - 2*t(l)?\nAnswer: -2*l**3 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-160)\/60)\/((6\/(-4))\/((-90)\/8))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 - -53. Sort -4, h, 5.\nAnswer: -4, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -141 * -14.42.\nAnswer: 2033.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 1 + 158\/26 + (-118)\/767?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 87, -165, -5 in decreasing order.\nAnswer: 87, 5, -2, -5, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 957 = d, -3*d + 0*b = 3*b - 2880. What are the prime factors of d?\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -318160*l*p**2 + l*p - 1686342*l wrt p?\nAnswer: -636320*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-6))\/(1\/(-12)). Let j = -4 - 2. Let b = 8 + j. What is the third smallest value in 0, b, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + c + 3*t + 53276 = 0, -5*c + 3*t = 66568. Let o = 681 - c. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*w**3 - 58*w**2 - 99*w + 1694443 with respect to w.\nAnswer: 12*w**2 - 116*w - 99","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3.381078ns?\nAnswer: 0.003381078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 303020 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.46 + 0.36. Let r = k + 4. What is the third biggest value in r, -2, 3, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 68281?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -11. Calculate the least common multiple of 16 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19290120, -19290118, -19290116, -19290114, -19290112?\nAnswer: -19290110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2958644 is divided by 12425.\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, f: 1, g: 1, z: 4, x: 1}. What is prob of sequence fx?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 114530 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11350923 divided by 80503\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16347 - 2?\nAnswer: 16345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -465, 14, 5 in decreasing order.\nAnswer: 14, 5, -6, -465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -11. Suppose -5*g + 5*r - 10 = 0, u = 3*g + 3*r - 9 - 9. Solve -3*k = g*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 121 = -4*l. Suppose 3*f + 51 = k, -l*f - 101 = -2*k - 13*f. Which is greater: k or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*d + 40 = -t, -t + 5*d = 0. Calculate the remainder when 1239 is divided by t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, h: 18}. What is prob of picking 1 h and 1 e?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 17*s**2 + 5234*s + 51. Let o(n) = n**2. Calculate f(o(u)).\nAnswer: 17*u**4 + 5234*u**2 + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 3)*(-2 - 5*i + 2)*((2 - 4 + 3)*(1 - 2*i - 1) - 3*i - 2*i + 4*i + 0*i + i + i + 2*i - 6*i + 3*i)*(-i**2 - 1 + 1).\nAnswer: 50*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-3))\/((2090\/(-33))\/19)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2088\/(-435)*(0 - 20\/(-6)). Let d(w) = w**2 + 5*w - 175. Let n be d(p). Solve 2*l = n + 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 18, h: 1}. What is prob of picking 2 b and 1 h?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -458\/23. Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (36\/(-8) - -4)*(-3 + -113). Solve 25 = 53*a - y*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -0*k - 35. Let t = 11 + k. Solve t*d = -3*a - 5, 0 = 2*a - 0*a - 2*d + 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, a: 6}. Give prob of picking 4 j.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 16025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/35)\/((-21)\/126)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**8*z)**(-10\/7)\/(z\/(z*(z*z\/z**(-1\/5))\/z*z*z))**(4\/17) assuming z is positive.\nAnswer: z**(-7202\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -15766530 rounded to the nearest one hundred thousand?\nAnswer: -15800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 116*p**4 - p**3 + 360*p**2.\nAnswer: 2784*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/3*2*3. Factor -j**5 - j**5 - 3*j**3 - j**3 - 6*j**3 + q*j**4 + 4*j**2.\nAnswer: -2*j**2*(j - 2)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (2 + 0 + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-56)\/(-10))\/(20\/(-1000)). Let n = j - -399. Is 28 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-144)\/(-102))\/(-8)*929\/8361.\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/5695 and 139\/74256?\nAnswer: 24875760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 102057933 to the power of 1\/4, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 4*p**2 + 13*p - 17. Let a be l(6). Let k = a + 153. What are the prime factors of k?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 1. Let v be g(-6). Suppose -19 - 17 = -3*s. Determine h so that -2*h - 3*h**3 + 24 + s*h**2 + v*h - 41*h + 6*h**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130 and 9?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -5*n**3\/2 + 363*n**2\/2 - 2066*n - 19470 = 0?\nAnswer: -6, 118\/5, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1053*i + 8?\nAnswer: 1053","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -12*x**3 + 15*x**2 - 61*x. Let v(c) = 6*c**3 - 9*c**2 + 31*c. Give -5*v(g) - 3*z(g).\nAnswer: 6*g**3 + 28*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10284279.\nAnswer: 3, 53, 71, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -36*t - 6. Let i be v(-5). Suppose 5*l + 24 = i. Let s = 147 - 102. What is the highest common factor of s and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -454*d**2\/5 - 3172*d\/5 + 42\/5 = 0. Calculate d.\nAnswer: -7, 3\/227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 39858896 or 199294473\/5?\nAnswer: 39858896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3773698 rounded to two decimal places?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 44 = 4*u. Suppose 0 = -r - b - 8, -5 = r - b - 1. Let p = r - -10. What is the remainder when u is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c**3 + 3*c**2 - 4*c + 3. Let g(u) = -u**3 - u. Let w(h) = 3*g(h) - o(h). Let a be w(3). Suppose -4*k + 49 + 27 = a. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 2 - g - 5\/6*g**3 + 3*g**2 + 1\/12*g**4. Determine l(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/4 (b) 0 (c) 0.5 (d) -5\/28 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 7*m**3 + 7*m**2 + 6*m + 6. Let l(a) = 6*a**3 + 6*a**2 + 5*a + 7. Give 6*l(r) - 5*v(r).\nAnswer: r**3 + r**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 34636673297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 15 - 1 = 5*l, l + 1 = -3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.2, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**3 - 29*a**3 - a**3.\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 74602, 297919, 669954, 1190707?\n\"Answer: 74359*o**2 + 240*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**3 + 13*z**2 + z**4 + 44*z - 41*z - 18 - 8*z**3 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/3 (b) 2 (c) -0.076\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(-2\/15)\/o)\/o*o)\/(o*o\/o**(-4)*o))**(3\/7))**(-2\/35) assuming o is positive.\nAnswer: o**(244\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*q + 20. Suppose -5*c + 2*c = -q. Factor 8*d + 3*d**c - 8*d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 10*v - 60. Let b be t(5). What is the tens digit of (b\/(-7))\/(11\/2002)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.02 - 0.28. Let f = -1.9 - x. What is the second smallest value in -0.2, f, -17\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2356120895 to the nearest integer?\nAnswer: 48540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 46.8 and -0.04?\nAnswer: -1.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/13 (b) -64 (c) -2 (d) -8\/15 (e) -0.5 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1551\/170 - -93\/10. Are h and 1\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3 - 0. Let k = n - -4. Suppose 2*j = -5*t + t + 24, -2*t - 20 = -k*j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 14.00012. Round l to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48514128 divided by 4\nAnswer: -12128532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - 9) + 1 + -4 - -12.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -8*t + 20. Suppose -t*h = -7*h + 80. Calculate the lowest common multiple of 10 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9983 and 134?\nAnswer: 19966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 543 divide 19723389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124568 is divided by 720?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 1072.\nAnswer: 5360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s - 4. Let t(p) = -3*p - 11. Suppose 0 = -11*j + 9*j + 16. Let l(w) = j*z(w) - 3*t(w). Determine l(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 10*d**2)*(-4 - 3*d**2 + 4 - 5*d**2 + 4*d**2 + 0*d**2 + (-d - d + d)*(3*d - d - d) + d**2 + d**2 - 3*d**2)*(-10 - 10 + 4).\nAnswer: -960*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**5\/60 - 12*k**2 - 3. Let f(n) = -17*n**2. What is f(d(y))?\nAnswer: -17*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(2057) + 2*sqrt(2057))*-1*-6 + (sqrt(2057) + -1 + 1)**2 + -2)*-2.\nAnswer: -4106 - 396*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 + 24*m - 5*m + 42*m - 10*m to the form o + d*m + h*m**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2584*v - 2*v**3 + 3091*v - 5675*v.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (100\/(-12))\/(13\/234). Let q = 313 + -531. Let l = g - q. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -20*r + 23*r. Suppose 0*g = -2*g - r*d - 32, -4*d + 71 = -5*g. Let v = g - -80. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 5 + 3)*(2 + 2*p - 2) + 2*p - 2 + 2)*(-p - 2*p + 0*p).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 3*w**2 + w - 7. Give g(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -742 divided by 12.\nAnswer: -371\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(2*1\/8). Let q(z) = b - 1 + 6200001*z - 2. Let c be q(-1). Round c to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 3*v + 15, 0 = 261*v - 129*v - 130*v + 5*o + 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 4*f = 40, 342*f - 345*f = 4*o - 45 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y - 5*x + 5 = 0, -15*y + 5*x = -16*y + 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/2449 + 115169\/53878. Calculate the common denominator of m and 100\/55 + -2 - (-4593)\/396.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 55 = -3*p, 16*f + 3*p + 95 = 20*f. Let y be 3 - (2 - -1) - -210. Calculate the greatest common divisor of f and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.012 and 3.7.\nAnswer: 3.712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 184979 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 233279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 100*u**2 + 177*u?\nAnswer: 200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -9 + 3 - 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2. Suppose 21 = 2*i + 9. Let p(n) = -16 - i*n + 16 - 16*n. Calculate l(p(t)).\nAnswer: 484*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 715471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 4*s**3 - 3*s - 10 - 3*s**4 - 2*s**3 in the form o*s**3 + k + x*s + n*s**4 + d*s**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fvvfbtttvttrtvt. What is prob of picking 2 v and 1 r?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -585*s + 4467. Let l be i(-5). Calculate the highest common factor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -121, -119, -117, -115?\n\"Answer: 2*s - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - m + 2*m)*(-2*m**2 - 2*m**3 + 2*m**2) - 3 + m**4 + 3 + (61*m**3 + 63*m**3 - 92*m**3)*(-5*m + 4*m + 4*m).\nAnswer: 101*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 18*c**2 - 14*c + 6. Let o(d) = d**3 + 16*d**2 - 13*d + 7. Let q(b) = -4*o(b) + 3*u(b). Determine q(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*g + 2*q - 142522, 142532 = 4*g + 4*q. Suppose 0 = 4*r + 828 - g. What is r rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 16*d + 4. Let x be b(16). Let h be x\/(-6) - (5 - 5). Let p be (-23)\/(-5) - 4\/(-10). Put p, -2, h in decreasing order.\nAnswer: p, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*b - 132, -3*x - 34 = -5*b + 128. Suppose 10*v - b = 4*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 205 and 22140.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 12:55 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -99 > -81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 30270600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1064 by 4.\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2622 divided by 874\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 2. Let m be c(14). Let z be 6\/(-9)*(-6)\/m. Which is smaller: z or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59789672?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*n - 1672 = 578. Calculate the highest common divisor of n and 1750.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 11*f**5\/150 - 611*f**4\/60 + 22*f**3 + 6408*f**2. Let d(m) = 0. What is m?\nAnswer: 6\/11, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 11:12 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3823159 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: Let f = -1 + 1.1. Let g = 100 + -104. Which is the closest to f? (a) -1\/5 (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1047 + 1050. What is the biggest value in -1\/4, q, -91\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**5\/30 + 2*c**2. Let l be (3 - 1)\/(5\/65). Let s(w) = -l*w**2 + 60 - 60. Give s(y(a)).\nAnswer: -104*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -11) + 10\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 9:59 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 340.3906 kilometers to centimeters.\nAnswer: 34039060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3*l**3 + 1020*l**2 + 494100*l = 0.\nAnswer: -270, 0, 610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 406678577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*h + 19 + 15 = 0, -15 = 5*x + 4*h. Let o be x\/(-3) - 1\/3. Solve 3*z + 10 = -o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 12. Let b = 56 + -39. List the prime factors of q\/(-20) + b\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 615*p + 37908*p**2 - 615*p - 37991*p**2.\nAnswer: -83*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbhchbbhchhbbbbhhc. Give prob of picking 2 b and 1 h.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 4. What is s(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -11 (b) -1\/4 (c) 4 (d) -1\/64 (e) -30\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -3\/4, 361984?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/11)\/(l**(2\/11)*l))**(13\/5))**(-31) assuming l is positive.\nAnswer: l**(1209\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 15*s**2 - 38*s + 40. What is the lowest common multiple of 33 and z(-17)?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -44174, -44196, -44218, -44240?\n\"Answer: -22*l - 44152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5 - 56*x**4 - 943*x**3 - 5352*x**2 - 4464*x = 0. What is x?\nAnswer: -31, -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8*c**3 - 6*c**2 + 4*c - 4. Let i be u(2). Let s = 25 - i. Which is smaller: s or -18?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2808 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*n**2 - 30*n - 10753.\nAnswer: -12*n - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 45, -1, -5, -4, -2 in decreasing order.\nAnswer: 45, 4, 3, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 155, -4, -1, 5 in ascending order.\nAnswer: -4, -1, 2, 5, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1944) + -4*sqrt(1944)*1)\/(-5*(sqrt(512) - (sqrt(512)*-3 + sqrt(512) - sqrt(512))))*1.\nAnswer: -4 + 27*sqrt(3)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 7. Calculate the remainder when ((-475)\/15)\/(25\/(-75)) is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4438 = -78*x + 554. Suppose -2*c = -5*b + 2*b + 746, -5*c = -10. What is the remainder when b is divided by x?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - 30\/(-36 - -51).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 68, -2, 6 in ascending order.\nAnswer: -2, 6, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2*q - 5*q + 6*q)*(-4 - 26 + 7).\nAnswer: -69*q + 138","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2913 is divided by 162.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxq when three letters picked without replacement from {x: 4, o: 1, q: 2, c: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 6:11 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 203106551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.18 + 4.18. What is the smallest value in 2\/13, -21, 4\/5, l?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 10, s: 3, f: 3, l: 3}. What is prob of picking 2 s?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*k**4 - 699*k**3 + 13455*k**2 + 4563*k = 0. Calculate k.\nAnswer: -1\/3, 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of 15*b**8\/112 - 107*b**7\/210 - 2*b**6\/3 + 14*b**5\/5 + 14*b**4\/3 + 8*b**3\/3 + 35*b**2 - 1. Determine j so that z(j) = 0.\nAnswer: -1, -2\/5, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 98069 - 65576. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 6 = 3*z, -4*z = 5*l + 23 - 34. Solve -l*f = -5*w - 35, 7 = 3*f - 12*w + 14*w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*h + 3*i - 8, -2*h = -2*i + 4. Let g = 4 + -7. Let p(m) = m + 7. Let v be p(g). Put 0, h, v in ascending order.\nAnswer: h, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004831 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6039 - -6123. Let v = 14 - -35. What is the remainder when s is divided by v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 75\/4 (b) -1 (c) 20558\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -3) + 90\/91 + 712\/(-623).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 7*z**2 + 55 - 98.\nAnswer: -7*z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15767753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = -31*n + 195. Let v(b) = -b**3 + 5*b**2 - 4*b - 10. Determine v(n).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 + 4203243?\nAnswer: 4203220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1715707 is divided by 85780.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) 0.54 (c) -4\/5 (d) -272\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -10621 less than -10621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a meter in millimeters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-49)\/(-3))\/((-6)\/(-108)). Suppose -u = -5*a - 3*x, a = 2*a + 5*x - 72. List the prime factors of a.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199644.\nAnswer: 2, 3, 127, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8682.968l to millilitres.\nAnswer: 8682968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, -1\/2424, -5\/2, 4, -1\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 19*f - 4. Let j(p) = 58*p - 13. Let s(v) = 7*h(v) - 2*j(v). Let t(q) = -9*q + 1. What is 6*s(n) + 11*t(n)?\nAnswer: 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 2 - (77 - 11). Let u = -42 - q. Calculate the remainder when 95 is divided by u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-10 - -1) + (-4 - 0)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10884 - -17197. What is the tens digit of g\/15 + 10\/75?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - q - 2. Let l be s(2). Suppose 13 + 0 = 3*u - 2*n, 3*n = 5*u - 23. Let m be (-9)\/(-6)*-2 + u. Sort -1, l, m in decreasing order.\nAnswer: m, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**5\/21 + 176*d**4\/7 - 29270*d**3\/21 + 434300*d**2\/21 - 539744*d\/7 - 2083328\/21 = 0. Calculate d.\nAnswer: -313, -1, 8, 16, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -0*u + 4*u - 20, j + 4*u - 14 = 0. Is 3\/5 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2435 a factor of 2123043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96530 by -13790.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 69253119259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebbr when four letters picked without replacement from rbereereerrbeer?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**6\/360 - c**4\/6 - 2*c. Let o(k) be the third derivative of h(k). Let f(u) = 3*u. Give o(f(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -914 divided by -914?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**2 + 0*h**2 - 5*h**4 + 2*h**4 - 2*h**4 wrt h?\nAnswer: -120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 12*i**2 + 13*i + 8. Let c be g(13). Suppose -k - d - 3*d + 60 = 0, -d = -2*k + 75. Calculate the greatest common divisor of c and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 523 = -661. Suppose 7*t - 3*t + z = 0. Let k = -6 - t. Calculate the highest common factor of 279 and k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**5\/20 + n**4\/12 + n**3\/6 + 5*n**2\/2 - 6*n. Determine g(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18316 + -15763. Which is smaller: 2552 or g?\nAnswer: 2552","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*m - 2*h = 205, 3*h + 276 = 4*m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.12, -1\/2, -66, -0.1.\nAnswer: -66, -1\/2, -0.1, 0, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 9:04 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*v**6 - 5*v**5 - 432*v**2 wrt v.\nAnswer: -4320*v**3 - 300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.2 + 0.8. Let v = -302.5 - -303. Which is the second biggest value? (a) v (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.49 + -13.49. What is the nearest to 8 in v, 0.1, -5, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -32. What is the second biggest value in 4, t, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8978956.\nAnswer: 2, 7, 61, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 0*c**3 + 0*c**5 + 0*c**2 - 3*c + 0 + 1\/2*c**6 - 5\/6*c**4. What is the third derivative of j(u) wrt u?\nAnswer: 360*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 2*y**2 - 3*y + 4. Let z be s(3). Let m(j) = -2 + 3*j - 1 + j**3 + 1 - z*j**2. Let a(q) = -q**3 - 7*q**2 + 3. Let r be a(-7). Calculate m(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/5 + (-6)\/(-30). Suppose p - 5*x - 1 = -10, 0 = 2*x - 6. Put p, m, -1 in decreasing order.\nAnswer: p, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 9*v**2 + 6. Let l(a) = -60 + 34 + 31 + 3*a**2 - 13*a**2. Let b(d) = -6*l(d) + 5*m(d). Factor b(j).\nAnswer: 5*j**2*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 - 153526*y - y**3 - 623626*y.\nAnswer: -2*y**3 - 777152*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-25)*c**(3\/8)*((c**(4\/3)*c)\/c)**(-1\/12))**27 assuming c is positive.\nAnswer: c**(5673\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*y - 65, 6*y - 10*y + 55 = -n. Let i be y\/(-20)*(160\/12)\/(-5). Determine d, given that 4\/13*d + 0 + 2\/13*d**i = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39360 by 2624.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-6 - 1) + (3 - -1) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*v = 1119, 4*i - 2*i - 438 = -4*v. Let p = i - 222. Sort -60, p, 3.\nAnswer: -60, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0.05, -1.3, -0.5, -1927?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 409*a + 40 = 399*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2) - (-74)\/(-36). Let f = -8\/9 - l. Let u(g) = -g**3 + 7*g**2 + g - 8. Let y be u(7). Which is the nearest to y? (a) -0.4 (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*f = -107 - 46. Suppose 2*d = -d - 3*j - 6, 2*d - 5*j = 31. Solve -d = -f*a - 0*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11120122111 (base 3) in base 15?\nAnswer: 1ba94","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 728789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(720) - -5*sqrt(720) - sqrt(720)))\/(sqrt(32)\/(-2*sqrt(800) + sqrt(800) - sqrt(8))).\nAnswer: -11*sqrt(2)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -10. Suppose -2*w + u = -63, 6*w - p*w + u = 87. Suppose w = 2*s - s. Calculate the highest common divisor of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -9. Let x(f) = 12*f**2. Let g be x(l). Suppose -c + 8 = -g. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14cac + -1?\nAnswer: 14cab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.04 + -0.095. Let d = 0.945 - a. What is the smallest value in d, -2, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (25*c - 4*c - 51*c)*(9*c**2 - 6*c**2 - c**2) + (0 - 2 + 1)*(-c**3 + 4*c**3 - 2*c**3) as g*c**2 + o + p*c**3 + q*c and give p.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.178043 times -15\nAnswer: 2.670645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 71*r**5 + 3*r**4 + 3*r**3 + 64*r**2 - 3. Let s(b) = b**5 + b**4 + b**3 + b**2 - 1. Let o(w) = 3*s(w) - u(w). Find the third derivative of o(p) wrt p.\nAnswer: -4080*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 13*p**6\/3 - p**4\/2 - p**2 + 26*p - 704. What is the second derivative of h(r) wrt r?\nAnswer: 520*r**3 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16792*s**3 + s**2 - 39110 wrt s?\nAnswer: -50376*s**2 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1389556.73 - 1389876.899705. Let a = 0.020295 - w. Let u = -322 + a. What is u rounded to 1 dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3 = -v, -3*q - 4*v - 3 = -3*v. Suppose 5*h = s + 91, q = 5*h + 4*s - s - 87. Let x = -12 + h. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 39 in 0.3, -3, 2.2, -0.4?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express k + 11*k**3 - 8*k**2 + k - 10*k**3 in the form u*k**2 + s*k + m*k**3 + x and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -1102102?\nAnswer: 1102102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*o + o - 3, 5*o - 2*z - 23 = 0. Let r be (-8)\/2 - o*-3. Solve -4*t + 1 = -r*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 68, 137, 206?\n\"Answer: 69*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**4 + p**3 - 73*p**2 wrt p?\nAnswer: 48*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 + 4 = 4*a + g, 5*a = g + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 29105*h. Let b(d) = 298*d. Determine u(b(w)).\nAnswer: 8673290*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + 2 + sqrt(1573)))**2 + (sqrt(1573) + 2*sqrt(1573) + 0 + sqrt(1573))**2 + 2*sqrt(1573) + 1.\nAnswer: 1012*sqrt(13) + 39551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**4 + 264*p**3 - 19992*p**2 + 76832*p + 74. Solve u(b) = 0.\nAnswer: 2, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z - 4. Suppose -7*t + 6 = -8. Suppose 15 = t*y - 25. Let r be (-2)\/((y\/(-25))\/(-2)). Give n(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41014 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: 45652 divided by 6\nAnswer: 22826\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 1 + 1 - -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 + -3. Let w be ((-28)\/f)\/((-2)\/85). Suppose 29 + w = 3*a. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2220 + 2438. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 8581 + 2520 = -w, 4037 = -2*t - 3*w. Let g be t\/(7\/42*3). What is g rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 78*a + 1017 + 621 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, e: 8}. Give prob of picking 3 e.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9376\/55 + -846\/5. Which is greater: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.11 + 1.51. What is the second smallest value in 4, t, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (4 + -7) - 19 - (0 + -6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159, 277, 369, 435, 475?\nAnswer: 489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28*((-6440)\/(-168))\/115*6\/4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25984 + -25981. Let w be 26\/6 + 2\/(-6). Solve y*k = -k - w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 0, 4, -1, -3, 13, 1 in ascending order.\nAnswer: -3, -1, 0, 1, 4, 13, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -649, -710, -771, -832?\nAnswer: -893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 a factor of 10777915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/3 and ((-89)\/3)\/(36\/27).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 0*w**3 - 4*w**2 + 0*w + 1\/8*w**4 + 0. Let l(y) = -4*y**2 + 3*y**2 + 0*y**2. Give l(o(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -4. Let o = -410.3 - -464. Let u = o + -53.8. Which is the nearest to 0.1? (a) q (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -55*b - 12. Let g be l(6). Let k = 103 - g. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*k - 7*k**2 - 138*k.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = s. Suppose -4*x = -2*h - 42, 2*x - 2*h + 8 - 34 = s. Is 8 a factor of -12*(1 + (-26)\/x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -115*n**2 + n + 1. Let q be f(-2). Let w = 2313\/5 + q. What is the second biggest value in -4, -1, w, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -52*j**5 - 36*j**4 + 184*j**3 - 130*j**2 - 750*j + 1042. Let v(a) = 3*a**5 + a**2 - a - 1. Let k(n) = -b(n) - 18*v(n). Solve k(t) = 0.\nAnswer: -2, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*v + 2 = 14, i + 4*v = -12. Suppose s + i*s = 2*h - 303, -9 = -3*s. What is the remainder when h is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 9*g**2 + 11*g - 4. Let x(s) = -5*s**3 - 37*s**2 + 45*s - 17. Let c(d) = 9*w(d) - 2*x(d). List the prime factors of c(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/36 and 23\/1811016.\nAnswer: 1811016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, -1\/2, -0.17, -0.4, -2821, -27?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*l**2 + 10*l**2 + 6*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -7. Let i = q + 0. Which is bigger: i or -2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000021719 rounded to six decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -46. Suppose -3*i + k = -11. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.9 or 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/(2\/(-10)*5\/(-2)). Let t = v - -41. Solve 3*f + 1 = t*m + 4, 0 = -m + f + 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 + -14. Let p = 0 + q. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/((1*sqrt(36))\/sqrt(6)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1601 + 41*o - 1601 in the form k*o + i and give k.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3520.5? (a) -2\/7 (b) -1\/9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*y**2 + 10*y**2 + 2*y**5 - y**5 + 0*y**5 wrt y?\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 84337.67 millilitres?\nAnswer: 84.33767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**3 - 28*d**2 - 148*d?\nAnswer: -12*d - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -372.\nAnswer: -1\/186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2430 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 6*b**2 + 11*b - 8. Let k be l(7). Let n be (-30)\/k*(-4)\/3. Suppose -4*u = 3*y - 26, -12*u + 20 = 5*y - 17*u. Solve -y*s = -n*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1664, 1919, 2174, 2429, 2684?\nAnswer: 2939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 5.8. Let z = n - -7.8. Let w = 14 + -14.5. Which is the biggest value? (a) 4 (b) w (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -131*y. Let i(u) = -2*u**2. What is k(i(w))?\nAnswer: 262*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27530?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -26, -96, -216, -398?\nAnswer: -654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 42. Suppose -6*n = -2*n + a - 8, 0 = -l*n - 5*a - 14. Which is bigger: n or 11\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 123*s**2 - 3770*s - 722. What is o(62)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o + o + 26*o**2 - 24*o**2 - 6.\nAnswer: 2*(o - 3)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.68822 rounded to 0 decimal places?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 + (-846)\/288*16.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 29. Put -2, 0, w in descending order.\nAnswer: 0, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -543*x - 3799. Let t be w(-7). Let g be 1\/((-3)\/(0 + 9)). Let s = g - -5. Solve s - 4 = t*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.3 + 10.8. Let l = 0.4 + -0.3. Which is the closest to l? (a) f (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 95 - 130 = -t, -2*p - 5 = -7*t for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**4\/24 - 2425*a**2. Let y = 1 + -5. Let f(d) = -9*d. Let l(b) = 5*b. Let j(g) = -6*f(g) - 11*l(g). Give y*z(t) + 5*j(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*o*q + 548*o - 6*q + 7 wrt q?\nAnswer: 16*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -12 - (-71 + 72 + -27 + 1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 78449759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375*y - 4*y**2 - 375*y.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -1323*j**2 + 5*j - 5. Let b be l(2). Let p be (-4 + b\/(-3))\/(4\/144). What is p rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*z - 229 = 0, n + n = -3*z + 103. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -19*r + 158. Give d(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10396 + 10396 - 13*t)*(15*t - 3 + 0 - 20*t) as f + k*t + p*t**2 and give k.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/10 + (-26)\/65. Let f = -4.09 - -0.09. Which is the third smallest value? (a) f (b) j (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 497868422 to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-22)\/(1 + (-9)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 5 = -8*d + 4*q, 3*d + 6 = 3*q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9)\/(-1)*28\/(-42).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*m - 75 = 0. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*v + 5*v - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -11*a**7\/5040 - a**6\/60 - a**5\/60 + 7*a**4\/24 + a**2. Let z(r) be the second derivative of y(r). Factor z(w).\nAnswer: -(w + 2)*(11*w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -1098.\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19758 - 6*n - 123988 + 9*n.\nAnswer: 3*n - 104230","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 4*l + 10, -2 - 1 = d + 5*l. Find i such that -162 + 3*i**d - 169 - 166 + i**2 + 481 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**3 - 2*s**2 + s. Let t be h(1). Let w(i) = 0*i**3 - 2*i**3 - i**2 - 1 + 3*i**3 + t. Let k be w(1). Is k < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + 0\/(-1 + -2). Let p = w + -7. Let m(h) be the first derivative of 3*h**2\/2 + h + 27. What is m(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 93 + 32 + -50 + -31.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12213 and 369045?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -891701*t*x**2 - 1320418*x**2 wrt t.\nAnswer: -891701*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/85525 and 21\/7775?\nAnswer: 85525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5396333224?\nAnswer: 2, 29, 53, 438869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 0 + 2 + sqrt(13))**2 - (sqrt(13) - (sqrt(13) + 4*sqrt(1872))**2) - ((sqrt(1573)*-2 + -4)*-2)**2.\nAnswer: -697*sqrt(13) + 6037","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10284497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 + 13*k + 506. Let n be w(49). What is the highest common divisor of 205 and n?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -10. Let z = 597\/182 - 162\/91. Which is the nearest to z? (a) 6 (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 375*k**2*v**3 + k**2*v**2 + 13*k**2 - 5*v**2 wrt v.\nAnswer: 2250*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 17 - ((0 - (5 + -1)) + 5)?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5875*d**5 - d**4 + 3*d**3 - 811*d + 16?\nAnswer: 117500*d**3 - 12*d**2 + 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p - 9. Let v be z(-4). Let s(k) = -2*k + 2*k + 0*k - v*k. Let u(i) be the first derivative of 2*i**3\/3 - 15. Give s(u(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10091.3 * 0.5\nAnswer: -5045.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = p - 0*o + 2*o, 0 = -o - 2. Suppose 2*w - 5 = x, p = 5*w + 2*x - 0*x. Let s = -48 + 142\/3. Does w = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 17*g**2 - 38*g + 45. Let l be k(19). Suppose 317 = -44*j + l*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28 + (-5)\/((-40)\/(-48)). Solve 3*t = -4*b, 4*t + b - 9 = -n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 7. Let j(w) = -w + 8. Let r(q) = -5*j(q) + 6*t(q). Let i be r(0). Solve -a + i*m = -9, 6*m = -4*a + m + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -21928619.\nAnswer: -21928619.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 4*p**2 + 2*p - 8. What is h(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 555 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 85, 101, 123, 151?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(1\/5))\/(b*b*b\/b**(-4\/7)))\/(b**(1\/9)*b**(-1)*b) assuming b is positive.\nAnswer: b**(-593\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6\/5 of a microsecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -79498*j*t**3 + 77*t**3 + 375*t**2 wrt j.\nAnswer: -79498*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/20*2*-1. Let g = 1038.6 + -1039. Put q, g, 0 in descending order.\nAnswer: q, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/(-7 - 1) + 4. Does 19 divide 482 - n - (9 - 0 - 14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 (base 8) in base 9?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -884.8461 + 1250.8758. Let v = 0.0297 - m. Let q = v + 366.00000283. Round q to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -12, 3, -2, 4, 8, -5 in increasing order.\nAnswer: -12, -5, -2, 1, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -63770 and 4.\nAnswer: -63766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 43, 74, 117, 172, 239, 318?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -1, -4, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -32\/5?\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s**2 - s + 7. Let o = -209 + 204. Let i(w) = 3*w**2 + 3. Let r be 24\/(-6) - (3 + -7). Suppose -l + 0*l = -c, 5*l - 10 = r. Give c*h(g) + o*i(g).\nAnswer: -3*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12, -4, 825, -1.\nAnswer: -5, -4, -1, 12, 825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 24*k - 57. Suppose -4*w + 444 + 134 = 5*r, -k*w = 4*r - 433. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(2499) + sqrt(2499) + 5*2*sqrt(2499) - 2*sqrt(2499)*3)\/((2*sqrt(24)*1)\/(sqrt(8) - sqrt(512))))**2.\nAnswer: 367350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**5\/10 + 3*z**4\/4 - z**3\/2 - 7*z**2\/2 - 3*z. Is y(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 279064.66 and 0.2.\nAnswer: 55812.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/7 - 4386*f\/7.\nAnswer: -3*f*(f + 1462)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t**3 - 3*t**3 + 3*t**3)*(0 - 3 + 1) - 2*t**3 + 3 - 3 + (t**2 - t**2 - 5*t**2)*(t + 0 + 0 + 5) in the form f*t**2 + j*t**3 + n + q*t and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express g**4 + 4*g**4 - 6*g**4 + 4*g**4 - 3*g**4 - 2*g**4 + (-g**2 + 4*g**2 - 2*g**2)*(g**2 - g**2 - g**2) as h + m*g**3 + n*g**4 + x*g + i*g**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -1 + (-2)\/(-2). Let o be (0\/(-1) - -2) + -4. Suppose y = -0*y + 2*y. Put o, y, j in decreasing order.\nAnswer: j, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -0.06 (c) 6\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -0.7029?\nAnswer: 2.2971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134560 is divided by 1843.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 517 and 61241?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 73.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -561, -2445, -5665, -10221, -16113?\n\"Answer: -668*x**2 + 120*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1325 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -31 (c) -4 (d) -46980.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320864?\nAnswer: 2, 37, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 15*v**2 + 2*v + 19. List the prime factors of q(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -2 + (4 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 15*u - 33. Let b be v(17). Is 4 a factor of 2\/(2\/32*b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/5 (b) 0.3 (c) -71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - i + 3*i = -2, -3*p = -5*i - 18 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 11:15 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 36 = 6*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 11. Calculate the least common multiple of (-8)\/(-2) + (70\/5)\/7 and u(-11).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120133202 (base 4) to base 6.\nAnswer: 2052242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -8.3. Let v = -0.3 - -6.3. Let m = v + -6.2. Sort h, 5, m, 0.1.\nAnswer: h, m, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 22713*g**2. Let l(f) = 2*f. Calculate p(l(w)).\nAnswer: 90852*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 n when three letters picked without replacement from {n: 3, j: 2, y: 2, a: 3, x: 7, f: 1}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 8*n. Let m(q) = q**2 + q + 905652. Calculate m(v(l)).\nAnswer: 64*l**2 + 8*l + 905652","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 364 = -14*g. Factor -g*t**4 + 69*t**4 + 3*t**3 - 3*t + 9*t**2 - 30*t**4 - 25*t**4.\nAnswer: -3*t*(t - 1)*(t + 1)*(3*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80456746?\nAnswer: 2, 40228373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/6)\/((-6)\/(-9)). Let p = y + 4. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -110*w**2 - 260*w + 120. Let p(s) = 18*s**2 + 43*s - 20. Suppose -2*c + c + 2*o + 8 = 0, c = o + 6. Let y(j) = c*m(j) + 25*p(j). Factor y(b).\nAnswer: 5*(b + 4)*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3054 and 809?\nAnswer: 2470686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in 2\/5, -5, 0.25?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 33774.0822 to the nearest 10.\nAnswer: 33770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2450032 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 1:57 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 39*t + 2. Let o be z(2). Suppose g + o = 24. Let b = g + 78. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36\/14*14\/(-2). Let w be 60\/(-8)*-14*-1. Let o = j - w. Does 29 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 23*x + 10*x + 14*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48709 and 197017?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eaaaaaaaaaeaaaezz. What is prob of picking 1 e and 2 z?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*a = -30*a - 1306. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200 and 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -347 + 350. Which is the fourth biggest value? (a) 0.5 (b) p (c) 6 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -427*-140.\nAnswer: 59780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*u - 141*u = 28 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-258)\/215)\/((-4)\/(-5))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/((-275)\/33)*10\/4. Which is the closest to 0? (a) -4 (b) -14\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 5 - 20. Suppose 0*g + 4*h - 98 = -3*g, -3*g - f*h + 100 = 0. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2\/9 + 14174*k\/3 + 85036\/9 = 0 for k.\nAnswer: -21259, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(10\/3)\/(-5) + 7. Let o be (8\/3 - 2) + m\/(-6). What is the closest to o in 0.3, 0, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 121*u**6 + u**5 - 256231*u**3 + 84563541*u**2 wrt u?\nAnswer: 14520*u**3 + 60*u**2 - 1537386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.038 - -0.162. Let i = 13.2 + -1.2. Let h = i - 26. Which is the second smallest value? (a) -0.3 (b) u (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2 (b) 16\/93 (c) 4 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 104\/((-780)\/(-15))*6\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 332 = 4*d + 4*i, 5*d - 2*i = -396. Let z be (-48)\/d - 36\/(-15). Solve 0*p = p - z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - -4)\/(-3) - 3\/3. Let g(h) = 51100035*h + 35. Let n be g(r). What is n rounded to the nearest 1000000?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -156 or -130?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -1617*z + 4848. Give i(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.2 - -6. Let f(i) = -2*i - 10. Let s be f(-6). What is the fourth biggest value in 0.5, p, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 + 1767*b - 20909. Give g(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -17 (b) 2\/3 (c) -0.921 (d) -0.5 (e) -5 (f) 0.2 (g) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 331769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - h = 313, -3*h = -3*k - k + 631. What is the least common multiple of k and 126?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-100) - 21\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 1402*f**2 + 1421*f + 62. What is m(-1)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 3*v - 5*k, 4*v = -2*k - 104 + 86 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 5*z**2. Let g be q(-5). Suppose v = -4*m + 13, 0*m - 18 = 2*v - 3*m. Let b be -3*(v - 16\/(-6)). Is g equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -4 (b) -3 (c) -594.39 (d) 2\/3 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**4 - 35*z**3 + 40*z**2 + 140*z - 240 = 0 for z.\nAnswer: -2, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9144581 or 9144712?\nAnswer: 9144581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166597?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175219527.\nAnswer: 3, 7, 17, 41, 11971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -28. Let f = 35 + c. Suppose -5*p + 2 - f = 0, -4*p = -2*t + 14. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80441208.\nAnswer: 2, 3, 372413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, -1, 8, 42, 0, -19 in descending order.\nAnswer: 64, 42, 8, 0, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0 + 3 = 0. Suppose -v = -5 - j. Let m(h) = -1 + v*h + 1 + 0. Let s(u) = u**2. Give m(s(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from llbblblllbl?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f - 1ba?\nAnswer: -1c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127486.\nAnswer: 2, 63743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**4\/6 + m**3 - m**2 - 10*m. What is the tens digit of g(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 654523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214948?\nAnswer: 2, 17, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/5362 and -89\/4.\nAnswer: 10724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -60.17684102 to 3 dps.\nAnswer: -60.177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -4403\nAnswer: 4\/4403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/51, -9\/5, 0.1?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**2. Let x(i) be the third derivative of 0*i + 0 + 0*i**3 + 2*i**2 - 1\/12*i**4. Determine x(r(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.1 + 7. Let o = 2 - 4. Let q = 3.05 + -0.05. Sort o, q, c in ascending order.\nAnswer: o, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 12. Let r = 5 - d. Suppose r = 5*t - 4*t - 2. Solve -j = -5*g - 4, t*g - 8 = -2*j + g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1458 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: Suppose 0 = 5*d - d + 64. Let c = d + 24. Suppose 2 + 2 = k. Solve 0 = k*z - 2*z + c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2062 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -18807*k - 206883. Determine p(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3159) - (-3*sqrt(3159) + sqrt(3159) - sqrt(3159))*3)\/(2*sqrt(108))*-2.\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12312 is divided by 6141?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 5*l = -4. Let u be 12\/8 - 1 - l. Which is the second biggest value? (a) u (b) -0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3827 and 3053.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2243\/7 < 320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 1525730806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2778317 is divided by 352.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -48. Suppose b + o = 4*b. Suppose 0 = 2*m + u - 15, 0 = 3*u - 0*u - 15. Solve -k - m = b*t + 5, 0 = 3*t - 2*k - 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 14. Suppose -3*u + 4*z = -18, -3*z - 3 - b = -3*u. Calculate the common denominator of (3 - (-183)\/(-22)) + u and -17\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1289 and 2?\nAnswer: 2578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 19 = -1. List the prime factors of 45\/a*(-108)\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5 = 5*g, 0 = 10*n - 8*n - 2*g + 2. Suppose u = 5*z - 19, n = -5*z + 30 - 25. Suppose -4*r - 51 = -3. Is u != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 2*i + 4*g, 3*i - g - 4*g = 163. Let m(t) = -t**3 + 18 + 3*t + 11*t + 2*t - 2*t + 5*t**2. Calculate the remainder when i is divided by m(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5362691 is divided by 11265?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-6*4\/56)\/(9\/(-6))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 172627903 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -707 by -1.\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**3 - 6*n**2 + 5*n - 2. Let s(g) = 3*g**3 - 5*g**2 + 4*g - 1. Let x(c) = -2*b(c) + 3*s(c). Let r be x(4). Suppose 47 = 2*l - r. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14585965*h + 10342067 wrt h?\nAnswer: -14585965","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 95\/5 + ((-96)\/(-3))\/4. Solve 2 + 26 = 5*l - 3*o, -5*l + 2*o = -y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 3, -1, -48?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 5*q - 226 = 0, 104 = 4*m - 0*m - 2*q. What is the remainder when (-1904)\/(-18) + (-10)\/(-45) is divided by m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 20447, 19883, 19319, 18755?\n\"Answer: -564*w + 21011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j - 4. Let g be w(2). Suppose 3 = -q - 0*q. Let p(k) = k**2 + 2*k. Let o be p(q). Solve g*z = o*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -108 - 113. Let l be (-112)\/(-52) + 34\/q. Sort -4, -5, l, 0.\nAnswer: -5, -4, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -2*k + 6*k, k - 3*a + 15 = -0*a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-19702452)\/15)\/22)\/(2\/(-5)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 + -0.09. Let h = v + -0.03. Which is the nearest to -1\/4? (a) h (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k + 253*k + 11349 = -8*k. What is the biggest value in -0.3, -1\/3, -2\/9, k?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w + 25 = -46*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 64, 64, 80, 118?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58387 and 665?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (142\/(2272\/(-84)))\/(3\/8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623 is divided by 70?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/9)\/s)\/s**(-2\/5)*(s*s\/s**(2\/3))**17)\/(s**(1\/3)\/s*s\/(s*s\/((s**(-2\/13)\/s)\/s)))**(2\/7) assuming s is positive.\nAnswer: s**(95288\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 7:50 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3597583615 to the nearest integer?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 6*m)*(-6 - m + 6 - 2 - m + 2 + (-m + 0*m - m)*(2 - 1 - 3) - m - 2*m + 2*m - 5*m - 3*m + 4*m).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 2:13 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -44. Which is the nearest to x? (a) 4\/3 (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13036*a - 13035*a = 100. Solve 89*i = a*i + 44 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 51730.52 kilograms?\nAnswer: 51730520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23713 (base 9) in base 10?\nAnswer: -15888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**4\/2 + 73*i**3 + 6253*i**2\/2 + 33726*i + 106722 = 0.\nAnswer: -66, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(3\/3))\/((-4458)\/743)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -581213499?\nAnswer: 581213499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, 8, 4 in ascending order.\nAnswer: 3, 4, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((0 - 9) + 2)\/(-1). Let p be (-3)\/(m - 4)*-106. Suppose -j + 2*j = p. Is j a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 40.86764kg?\nAnswer: 0.04086764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 12*x - 8. What is the remainder when 35 is divided by u(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1220651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 31.\nAnswer: 15.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 4 (b) 2 (c) 0.7 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**5\/4 - 7*b**2\/2 - 13*b. Differentiate i(y) with respect to y.\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, j: 1, m: 2, h: 1}. Give prob of sequence hk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v + 26*v + 7*v + 33 + 4*v**2 - 33*v - 7*v**3 to the form o + g*v**2 + d*v**3 + x*v and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.1108 - 0.0408. Let y = n - 11. What is the third smallest value in y, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35304029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w - 1. Let k(d) = d**3 - 6*d**2 + 18*d - 31. Let v be k(4). Give c(v).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/3203485474 and 93\/22?\nAnswer: 35238340214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zeeuded. Give prob of sequence ude.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 - -0.3. Let j be (-2)\/2 - 24\/(-10). Suppose -10*o + 106*o - 342 = -75*o. Which is the fourth smallest value? (a) z (b) -4 (c) j (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/7*3549\/103935?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*n + 1290 = 90*n - 4*n - 32*n for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) -43 (b) -1\/2 (c) -1 (d) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 take away -17?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0513 + 204.9487. Let s = 205.2 - t. Which is the closest to -1? (a) -6 (b) s (c) -5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*t - 4*t - 3*t)*(-5 + 30 + 1) + (1 - 47 - 6)*(-1 + 1 + t) to the form l*t + v and give l.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 5*a + 6. Suppose c + 3*k = 0, -k - a = -c - 3*k. Suppose -2*o - 36 = -c*o. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11059 - 11014. Calculate the remainder when 5082 is divided by k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2110023 (base 5) to base 10.\nAnswer: 35013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 12*w + 10 = 0. Let l be w\/9 - (-673)\/9. Calculate the highest common divisor of 30 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 6221, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.485 - 0.485. Let i = 56\/15 - 10\/3. Let q = 0.1 + -0.2. Which is the biggest value? (a) v (b) q (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82833.\nAnswer: 3, 27611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (302 + 12)*3\/2. Let c = w + -93. Is 27 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 9:43 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(6\/5)*x)\/(x*x*x**28) assuming x is positive.\nAnswer: x**(-139\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (16\/8)\/((-1)\/(-54)) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (11 - -32) + 0 + 6. Let o = g + -48. Solve o = 5*m - 4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011 (base 2) in base 5?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/4))**(9\/13)*((b**(3\/5)*b)\/b)\/b*b\/(b*b*b*b**(1\/3)*b))\/((b*b**3*b)\/b**(-3\/4)*b**(1\/8)\/b*b*b**(-3\/5)) assuming b is positive.\nAnswer: b**(-13783\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/16 and 5\/1486.\nAnswer: 11888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36\/30*(-25)\/(-15). Solve y + b*c + 3 = 0, 2*c = -0*c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 - 3 + 3 + o**2 in the form u*o**2 + y*o + x and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 83*p - 1639. Determine s(33).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1416 = -2270*z + 2246*z for z.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -966 by -483.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 12 + 2 + 17*j - 16*j. Let i be v(-11). Suppose p + 20 = -i*p. Put -2, p, 5 in decreasing order.\nAnswer: 5, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 121901*b**2 + 2*b + 20302?\nAnswer: 243802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44667 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbqqbcqqbbqqcbbbbqbb. What is prob of sequence bc?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.789 millennia in centuries?\nAnswer: 217.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26224 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -156351*r + 21 + 78171*r + 78158*r + 2*r**4 + 6*r**3 - r**2 as g*r**2 + o*r + d*r**3 + t*r**4 + p and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/8434 (b) -0.3 (c) -0.1 (d) 6\/11 (e) 0.1 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -2*v**2 + 0*v + 5\/2*v**3 + 1\/60*v**5 + 0 - 1\/24*v**4. Is 10 a factor of m(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(120)*-2)\/sqrt(2))\/((sqrt(144)*-2*-1)\/sqrt(12)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -331141 (base 11) in base 3?\nAnswer: -222212001210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 63651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3990 = 198*w + 68*w for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/8 (b) 4\/13 (c) -1.9 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 2:25 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 25, 0*l = -2*l - 2*k - 6. Suppose -45 = -l*n - 3*n. What is the greatest common factor of 45 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 116?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - s - 109, -4*u + 5*s + 433 = -0*s. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1238077929 to the power of 1\/2, to the nearest integer?\nAnswer: 35186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -28, 0, -745, -2 in decreasing order.\nAnswer: 1, 0, -2, -28, -745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1143 + 1?\nAnswer: -1142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 9 - 16 - 11*a**3 + 15*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 5, 2, -1 in descending order.\nAnswer: 5, 2, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-39))\/(6\/3)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3357 = -y, -p + 667 = -0*p + 2*y. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -7\/2*j**2 - 1 + 1\/3*j**3 - 1\/30*j**6 - 2\/21*j**7 + 0*j**4 - 39*j + 0*j**5. What is the second derivative of w(p) wrt p?\nAnswer: -80*p**3 - 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 211\/6 + -106\/3. Let n be (-9)\/(-3) - (-34)\/(-66). Let d = n + k. Calculate the common denominator of -23\/12 and d.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 - 474*w**3 + 31*w - 5*w**2 + 1 - 29*w. Is f(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 39\/12863?\nAnswer: 39\/12863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + b**2 + 9*b + 10. Let i be o(4). Suppose 64*a - 70*a - 6 = 0. Let s(h) = -1. Let m(u) = u**3 + 2*u**2 + 2. What is a*m(r) + i*s(r)?\nAnswer: -r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16273662 rounded to the nearest 10000?\nAnswer: 16270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 4. Let j be f(5). Let k be 12\/(-16)*16\/(-42). Is j >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -19935*u - 1127. Is m(-24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3739 + 3756. What is the highest common factor of y and 2669?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 677 = 6*l + 89. Let v = l - 24. What is the remainder when v is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29704\/3 + -9901. Let q = 8 + -23\/3. Factor -q*u**2 - n*u**3 + 0 + 2\/3*u.\nAnswer: -u*(u - 1)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*x - 8\/13*x**2 + 0 - 2\/13*x**3 = 0. What is x?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18676762 to the power of 1\/2, to the nearest integer?\nAnswer: 4322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -2, 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19212077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 372484, 372502, 372520, 372538, 372556?\nAnswer: 372574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*n - 0, -5*z + 3*n = 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/2 - 57780527*b**2\/2 - 834647469550731*b\/2 - 4173235903240605\/2.\nAnswer: -(b + 5)*(b + 28890261)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 777710.3mg?\nAnswer: 0.7777103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 4*o - 844. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = v - 9. Suppose -v*b = -16*b + 60. Solve 0 = 2*g - 10 + b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from isscccs. What is prob of picking 2 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4285 a factor of 261972045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -41*p**2 - 6*p + 2 + 16*p - 2*p**2. Let t(q) = 43*q**2 - 12*q - 2. Let w(i) = 6*r(i) + 5*t(i). Let d(f) = 2*f. Give w(d(a)).\nAnswer: -172*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -37. Let s = 11 - k. Put 2, s, 4 in increasing order.\nAnswer: 2, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14\/9 - 107\/63. Which is the third smallest value? (a) 2 (b) z (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4 + 63*j**3 - 360*j**2 + 300*j.\nAnswer: -3*j*(j - 10)**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**3 + 236*z**2 + 54*z + 5. Let t(r) = 2*r**3 - 235*r**2 - 63*r - 6. What is 7*h(s) + 6*t(s)?\nAnswer: -2*s**3 + 242*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.59 + -1.59. Let o = 90 - 88.08. Let m = -0.08 - o. Sort n, -2\/3, m in decreasing order.\nAnswer: n, -2\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-196))\/(254\/(-889)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17303756?\nAnswer: 2, 17, 19, 59, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-101)\/7 + 60\/140. Let f = m - -15. Which is greater: 2\/39 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3528*o**5 - 3325*o**2?\nAnswer: -211680*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13756 = 258*h - 30526 for h.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 24.93134?\nAnswer: -9.972536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5868 and 558.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4\/3 - 20*j**3\/3 + 22*j**2\/3.\nAnswer: -2*j**2*(j - 1)*(j + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.266351 hours in weeks?\nAnswer: 0.078966375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -2\/13, -12\/617, 214 in descending order.\nAnswer: 214, -12\/617, -2\/13, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 29. Let u = g - -20.933. Let m = u - -0.06699961. Round m to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sncwnxlnsxcx. Give prob of picking 2 s and 1 n.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 148 = -156. Suppose -2*x + 2 = -3*x. Is 1\/(x - (-154)\/n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 589371813, 589371812, 589371811, 589371810?\n\"Answer: -p + 589371814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 740*m - 2517 - 1575 = 887*m + 5316 for m.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (272\/16*-3)\/7.\nAnswer: -51\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvwh when four letters picked without replacement from xlvhthwhhvvxvx?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-178*q - 178*q + 47*q + 72*q)*(34*q**4 - 14*q**4 - 41*q**4).\nAnswer: 4977*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -93 + 93. Factor n*z**2 + 16\/9*z - 4\/3*z**3 - 4\/9*z**4 + 0.\nAnswer: -4*z*(z - 1)*(z + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 4*p**2 - 4*p - 3. What is w(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3079300*l**4*u**3 - 454984*l**2*u**3 - 4*l**2*u**2 wrt l?\nAnswer: 73903200*l*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16055746 divided by 5?\nAnswer: -16055746\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 - (-3 + -2 + 8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*d = -9, -3*d = -11 - 4. Let m = g - -12. Let q = 6 - 4. Solve -q*j + m = 8 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 831\/2037 + (-9)\/21. Is f at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 39. Let s be t(-17). What is the greatest common divisor of s and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1581*l**2 - 2301*l**2 + 3035*l**2)*(l - 3*l + 0*l) + 0*l**2 - l**3 + 0*l**2 to the form t*l**2 + r*l + y + u*l**3 and give u.\nAnswer: 1693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -321.35 from -4719863.\nAnswer: -4719541.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 5 + ((4 - 13) + 7 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2894 times 316666?\nAnswer: 916431404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2728*o + 858*o - 21516 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c - 2817 + 5584 - 2806. Calculate d(-23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 - 3*v + 3. Let a be u(2). Let q = 9 - a. Suppose 0 = -q*t - 3*k + 7 + 7, 4*t - 2*k - 4 = 0. Solve -6 + 2 = t*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.333 + 0.303. Let j = k - -1.03. What is the smallest value in 5, j, 0.099?\nAnswer: 0.099","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 11:55 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99 - -33. Let g = -77 + p. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*g - 172 = 0, 7*l = 11*l - 3*g - 337. What is the highest common divisor of l and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298416901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3\/19 + 144*r**2\/19 + 1512*r\/19 - 42336\/19 = 0. What is r?\nAnswer: -42, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 28 = 40 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -7\/951661?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07229 times 15.72?\nAnswer: -1.1363988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 41*l**3 + 61*l**2 + 1. Let c(k) = 82*k**3 + 123*k**2 + 2. Give 6*c(a) - 13*t(a).\nAnswer: -41*a**3 - 55*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/435 (b) 0.12 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211 (base 8) to base 3.\nAnswer: 12002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 4*x**2 + 9*x + 23. Let k be o(-5). Let s(p) = -8 + 7 + k + 0. Let y(g) = 3*g + 3 - 3 - 2*g. Calculate s(h) + 2*y(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -245, -7, 0 in decreasing order.\nAnswer: 0, -1, -7, -245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -156797?\nAnswer: 156800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 1 = -a. Let l = 967 - 972. Put l, 0, a, 7 in decreasing order.\nAnswer: 7, 0, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**4\/8 - 10*q**3\/3 + q**2. Let w be k(-8). Suppose -w*a = -449 + 117. What are the prime factors of a?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t**2 - 67*t - 8. What is v(17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7\/v)\/v**(14\/9) assuming v is positive.\nAnswer: v**(40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 0*j = 5*r - 4, 5*j = -5*r - 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**3\/3 + 7*t**2 + 7*t - 12. Let w be g(-13). Is w equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 11532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0026074629 rounded to six dps?\nAnswer: 0.002607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2357 = 2543. Round h to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 419670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-6))\/((-8)\/108). Let c be (l\/12)\/((-3)\/10). Solve c*r + m + 1 - 3 = 0, -16 = -r + 5*m for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*((v\/v**(-26))\/v)\/v*v)\/v**(-43)*(v*(v*v*v**(2\/7))\/v)**21 assuming v is positive.\nAnswer: v**118","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 896 is divided by 75?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*t = -17, 2*t = 5*j - j - 2. Let b(l) = -l**3 + 4*l**2 - l - 3. Calculate b(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssqsqsqqwsqtqssq. Give prob of sequence qsw.\nAnswer: 7\/480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 - 13. Solve -5*c - 5 = -o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6935393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 7 + (-2 - (-1 + 10 - 22)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 6488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 divided by 107312?\nAnswer: 237\/53656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (545\/(-345))\/(-1) - 8\/(-92)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -1, 4, -33, 0.2, -1656 in descending order.\nAnswer: 15, 4, 0.2, -1, -33, -1656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3920879?\nAnswer: 23, 170473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 17 = 5*z, -5*b + 26 = 2*z - 59. Solve -19*p + 28 = -b*p - 4*q, -3*p - 4*q - 8 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 183, 265, 343, 417, 487, 553?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oopopoooopppo. What is prob of sequence oppp?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 3, 3\/4, -1 in descending order.\nAnswer: 3, 3\/4, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 298158 to the power of 1\/2, to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4676*x**2. Let p(n) = n**2. Give p(s(u)).\nAnswer: 21864976*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -78930 to the nearest one thousand.\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-90)\/4)\/(-3)*52\/78. Suppose r*u = -w - 13, 0*w = -2*w + 5*u + 34. What is the third derivative of -19*f**5 - 13*f**2 + 6*f**2 - w*f**2 wrt f?\nAnswer: -1140*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 7*i - 2*q, -24 = -i + 4587*q - 4588*q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61592?\nAnswer: 2, 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**2 - 3*s**2 + 4*s**2 - 7*s**2. Let i(n) = 2*n**2 + 10*n. What is k(i(a))?\nAnswer: -8*a**4 - 80*a**3 - 200*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzxz when four letters picked without replacement from zxzzzzxzxx.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 36\/3 - (-9)\/(-9). Suppose a*l - 143 = 110. Solve 8*q - 4*q + 5*v + l = 0, -v = 2*q + 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7270188*q**3 + 48265741*q wrt q?\nAnswer: 43621128*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i = -4*i - 504. Calculate the greatest common divisor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -135.55691244.\nAnswer: -139.55691244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 19 + 1. Let m(g) = -5*g + 1. Calculate the common denominator of m(i) and (-15)\/(-11) - 0\/(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9043 or 9040?\nAnswer: 9043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -277728*d**2 - 242865*d wrt d.\nAnswer: -555456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 195 and 624?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 5 - 6) + 2 - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/4 of a year?\nAnswer: 129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*o - 90*o + 127*o + 44*o**2.\nAnswer: 44*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmjjmojjmojj. Give prob of sequence mmm.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1210455665*o**5*w**3 + 2*o*w**3 + 983974699*o wrt o.\nAnswer: 24209113300*o**3*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 109399 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, g: 2}. What is prob of sequence ag?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 83, 76?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2)*x*x*x*x\/(x**(-1\/6)\/x)*(x**(-2\/3))**(3\/41) assuming x is positive.\nAnswer: x**(767\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**4 - 13*d**3\/6 + 3*d**2 - 4*d. What are the prime factors of a(-3)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (49*l**3 - 115*l**3 - l**4 - 2*l**2 - 1 + 79*l**3 - 2*l)*(-3 + 8 - 1) to the form s + x*l**2 + g*l + o*l**3 + m*l**4 and give o.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11c1 - -52?\nAnswer: -116d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -4, 4, -1, -8 in ascending order.\nAnswer: -8, -4, -1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yzye?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 842\/7 + -6743\/56. Calculate the common denominator of 65\/174 and x.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1088) - (0 + sqrt(1088))) + (sqrt(1088) - sqrt(1088)*-2) + -1)**2 + 4 + -5.\nAnswer: -48*sqrt(17) + 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**3 - 3*s**2. Let n be r(-2). Suppose n*a = 0, 4*a = 2*v - 176 - 164. Let m = 284 - v. Does 19 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/1660268 and -47\/7471206?\nAnswer: 14942412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001883 rounded to seven dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(192) - 2*sqrt(192)*5) + ((4 + sqrt(432) + -4)*4)**2.\nAnswer: -216*sqrt(3) + 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -11?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(-18))\/(0 + 2\/6). Let h be u\/(-8) - (-9295)\/(-104). What is h rounded to the nearest integer?\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2980, 5961, 8942, 11923?\nAnswer: 14904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (3\/9)\/(1\/81) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -128406200 by -9877400.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*u**2 + 2*u**4 + 85*u**2 + 0*u**4 + 4*u**2 - 9*u**4 + 3 in the form q*u**3 + f*u + s + w*u**2 + a*u**4 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Express -28*c + 0*c - 5*c - 18*c as m*c + w and give m.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-2) + (-5 - -34). Suppose 6*f - t = f. What is the second derivative of 2*j + j - f*j - 5*j**4 + 2*j**4 wrt j?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 172*a**6\/15 - 406*a**5\/15 - 32*a**2 + 9*a. What is the third derivative of p(k) wrt k?\nAnswer: 8256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**3*x**3 + 557*t**3 + 184793*t**2*x**3 - 3*t*x**3 - 374*t*x**2 - x**2 wrt x?\nAnswer: 12*t**3 + 1108758*t**2 - 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htdhthtttdhdhtd. What is prob of picking 2 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m - 11. Let r be 4\/(4\/(-3))*(-100)\/(-15). Let h = r + 20. Suppose 3*n + i - 33 = -3*i, h = -3*i + 9. Give q(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -214277694 by -4.\nAnswer: 107138847\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**13\/o)\/o**(-1\/7) assuming o is positive.\nAnswer: o**(85\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -6. Let v = -29 - z. Suppose a = -p + 2*a + 2, -4*a = -v*p + 9. Calculate the highest common divisor of 2 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 2*r**2 - 2*r - 1. Let l be w(-1). Let x(t) = -2*t**3 - 8*t**2 + 10*t - 41. Let y be x(-7). Let z = y - 178. Solve l = z*j + 5 - 30 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-63))\/((-12)\/224*4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -712.851*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 34\/(-6) - 12\/(-18). Let u(d) = -d - 17. Let g be u(-19). Let q(b) = 9*b**g + b**3 - 13*b**2 + 6*b + 9*b**2 + 5 + b**2. What is q(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 9)*(-51)\/102.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1113, -1118, -1135, -1170, -1229, -1318?\n\"Answer: -y**3 + 2*y - 1114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*i**3 - 3*i**2 - 403*i + 21*i**4 - 12*i**3 + 401*i to the form k*i**2 + t*i**4 + h + j*i + c*i**3 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -372499\/9282 - -686\/17. Find the common denominator of 107\/14 and f.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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: Which is the nearest to 1? (a) 6\/19 (b) -2 (c) -0.4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = w + 142, 0 = -4*v + w + 6545. List the prime factors of v.\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -35, 2, -21 in descending order.\nAnswer: 2, -1, -21, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -65968, -131988, -198048, -264148?\n\"Answer: -20*f**2 - 65960*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*(i*(i\/(i**(-3\/5)*i))\/i)\/i*i)\/i**(-1\/5))\/(i**8\/((i\/(i**11\/i*i*i))\/i)) assuming i is positive.\nAnswer: i**(-81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7564 + -4985. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q. Let y(h) = -2*h - 1. Let n(c) = 6*c + 5. Let k(j) = n(j) + 5*y(j). What is 2*k(g) - 3*z(g)?\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 23. Suppose -u*s = q + 2*q - 572, -s = 2*q - 393. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 7073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 3. Let c be y(2). Let d be (-3 - c)\/((-160)\/30 - -4). Solve d*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-77)\/(-4) + (-15)\/(-20). Let g be (-18)\/(-45) + 2\/n. Let l be -9*4\/(-12)*(-47)\/94. Which is the closest to g? (a) 3 (b) l (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q = -66*q + 400 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-105))\/((-337)\/2359)*(2 + 6*-12)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/8495895 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4*g - 1)*(46 - 49 - 24)*(0 + 0 - 11*g) in the form l + s*g**2 + h*g and give s.\nAnswer: 1188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from gqgaigf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 4138.\nAnswer: -1\/2069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 444*s - 1987*s - 3499*s - 4032*s - 4034*s.\nAnswer: -13108*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(104) - (sqrt(104) + (sqrt(104)*1*5 - sqrt(104)) + sqrt(104))) + sqrt(104) + -6*(sqrt(104) - sqrt(104)*-2))\/(sqrt(72)\/(sqrt(225)*-1)).\nAnswer: 2 + 110*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**3 - 1. Let o be d(1). Solve t - z + 2 = -0*t, 6 = -o*t - 3*z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143544.81 rounded to the nearest 1000?\nAnswer: 144000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32.6 or 0.94?\nAnswer: 0.94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/126592 and 157\/690276.\nAnswer: 949819776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + 76\/12)*2\/(-12). What is the fourth biggest value in -5, 0.4, h, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 11*r**4\/6 - 17*r**3\/2 + 10*r**2 + 17*r - 1. Let i(j) be the first derivative of f(j). What is the tens digit of i(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjbysbsjjjbjsr. Give prob of picking 1 b and 1 r.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -557 - -561. Let r(m) = -m**2. Let h(s) = s**3 + s**2. Calculate o*r(t) + h(t).\nAnswer: t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -5, 8, 0, -28860 in decreasing order.\nAnswer: 8, 3, 0, -2, -5, -28860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.6 + -2.4. What is the third smallest value in -2, -0.07, b?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -8*u**3 - 2*u**2 - 14*u - 39. Let p(h) = -h**3 + h**2 - 2*h + 1. Let o(c) = -l(c) + 9*p(c). Determine o(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*p - 26 + 26 - 5*p + 4*p + 0*p + (0 + 0 + 2)*(0*p - p + 3*p) - 3*p - 4*p + 2*p to k + m*p and give m.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (816\/936*13)\/(-3*((-14)\/(-18))\/(-7))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 - 28. Find the common denominator of -9\/10 and (-171)\/(-12)*(-40)\/d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48224 = 637*q - 513*q - 672*q for q.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 954.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -130, -197, -266?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25264551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 11*s + 84 = 0. What are the prime factors of s?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 20. Suppose -t - 15 = 4*t + 5*k, -3*k = -2*t + 9. Suppose -5*c = -t*c + 10. Are c and x non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -62, -131, -190, -233, -254, -247?\n\"Answer: n**3 - n**2 - 73*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(448) + 2*sqrt(448) + -2 - sqrt(448)))**2.\nAnswer: -1600*sqrt(7) + 44900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {i: 13, e: 5}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifteen quarters of a hour?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-72)\/28)\/((-6)\/28). Suppose 5*b = 3 + q. Solve 8 = l - b*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75288176.\nAnswer: 2, 29, 211, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujuuubbwuuwj. Give prob of picking 2 w and 1 b.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 322*q**2 + 2377*q - 8. Calculate m(-7).\nAnswer: -869","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 - 39*f**2 + 19 + 15 as p*f**2 + t + j*f and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + 4\/2 + 3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 5*r = -4*m + 16, 12 = -3*r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1440734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*o. Suppose o = 2*w - 1 + 11. Let d = 1.5 + -1. Put d, 2\/11, w in ascending order.\nAnswer: w, 2\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10290223*t - 11107046 wrt t?\nAnswer: -10290223","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, m: 3, o: 1}. What is prob of sequence hmm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(200) + sqrt(200) + (-3*(sqrt(200)*-2 - sqrt(200)) - sqrt(200)))\/((sqrt(64) + sqrt(4) - sqrt(4))*5).\nAnswer: 2 + 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-14)*f)\/f*f)**48 assuming f is positive.\nAnswer: f**(-624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5817.\nAnswer: 3, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-8))**(5\/4))**30)**(9\/2) assuming c is positive.\nAnswer: c**(-1350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1163468480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y**2 - 10*y + 11. Let p(b) = -b**2 + b - 1. Let h(m) = 6*p(m) + w(m). Find v such that h(v) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/276 and -63\/368?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 10*b - 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -50, -73, -98, -125, -154, -185?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57645 is divided by 49?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2211298489?\nAnswer: 19, 53, 191, 11497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x - 10. What is l(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 516 and 4300.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 175824106 to the power of 1\/3, to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -76 in -0.2, -3\/2, -44, 0?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 4*o - 7*o = 0, 12*o = -4*n + 32 + 5 - 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -27. What is the remainder when 111 is divided by f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 4. Let d be c(5). Let m = -371.93 - -372.23. What is the biggest value in 1\/4, d, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 34 (b) -17.2 (c) -3 (d) -429 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8 + 3 - 5\/5. Let i(d) = -4*d**2 - 7*d + 9. Let l be i(w). Let u = -28 - l. List the prime factors of u.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccrkkporcrrccco. Give prob of picking 2 k and 1 o.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 - -8)*(8 + 2 + -1). Solve -c + v = 2*i, -i + 5*i = -c + 19 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u - 5. Let v(p) = 4*p + 4. Let w = -3 - 0. Calculate w*v(m) - 2*b(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.8725247 years?\nAnswer: 0.08725247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from omfaanoafoxm?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7003179 is divided by 2334387.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 10*p - 16. Determine d(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52\/15 - -46\/15. What is the closest to -1\/4 in 15, -0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 3476575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from {q: 5, s: 1, n: 7}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/((-12)\/227289) - 13*40\/260 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2391*h - 2335*h + 336 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-27)*6\/(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 347673 and 9.\nAnswer: 1043019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5982*n + 975. List the prime factors of a(1).\nAnswer: 3, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 8*m**2 + 8*m + 12. Let d be i(9). Let k = 3 - d. Suppose -4*n = 3*j - 12, -5*j = -k*j - 5*n + 15. What is the nearest to j in -1, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 471\/2 + -235. Sort n, -5, 4 in increasing order.\nAnswer: -5, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 19 = 3*t, 2*j = t + t + 6. Suppose -5*n = -h - 0 + 1, 0 = -3*n + 3. Let q be ((-3)\/h)\/(j\/48). Solve -z + q = -5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17344495395950 - -0.5?\nAnswer: -17344495395949.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6914, 7364, 7814?\n\"Answer: 450*y + 6464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1508793 and 3432?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, i: 2, k: 5}. What is prob of sequence ik?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4502 is divided by 2251?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 - 2.2. Let g = 12.8 + -12. Let r = q + g. Put -1\/5, -1\/6, r in ascending order.\nAnswer: r, -1\/5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3. Let f(i) = -14*i**3 + 4*i**2 - 16*i. Calculate -f(n) + 8*r(n).\nAnswer: -2*n**3 - 4*n**2 + 16*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**2 + 236*q - 236*q - q**2.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 106365 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2867 (base 9) to base 8\nAnswer: 4167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/(-27) - (-10)\/15)\/2. Solve -27*u + 0 + d = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**2 - 2*t**4 + 3*t**2 + (0*t - t + 2*t)*(31*t**3 + 28*t**3 - 66*t**3) to v*t + c*t**2 + l*t**4 + o*t**3 + y and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*j + 26*j + 10691 = 49*j + 773 for j.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 7. Is 143 + 0\/(z + -5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9 and -6404681.11.\nAnswer: -6404672.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -582\/10811?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - h - 18, -v - 3*v = 2*h - 24. Solve -v*c + 0*c + 15 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/12*(2 - 1)*-80. Let r(b) = 8*b + 60. Let x be r(0). Calculate the highest common factor of d and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 189, 197, 227, 291, 401, 569, 807, 1127?\n\"Answer: 2*r**3 - r**2 - 3*r + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*g**3 + 14*g**3 - 9*g**3 + 6*g**2 wrt g.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**2 + 18*x + 6. Suppose -p + 2*m = p + 22, -4*p - 12 = 4*m. What is the tens digit of o(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 59*o**2 - 209*o - 5295. Calculate u(-61).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*p - 40*p - 248383 = -3*l, 0 = 3*p + 3*l + 186261. Round p to the nearest 1000.\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*a - a - 15*a)*(1 + 4 - 4) - 4*a + 2*a + a + (-1 + 2 - 2)*(6*a - 3*a - 2*a) + 3*a - 8*a + a)*(a + a - a).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71041 and 23664131.\nAnswer: 3739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.431 times -0.025\nAnswer: -0.010775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85462704?\nAnswer: 2, 3, 593491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-19)\/4)\/((-46)\/2208). Calculate the greatest common factor of 304 and p.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/2 (b) -21 (c) -0.4 (d) -0.1 (e) -0.63 (f) 0.4 (g) 65\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -35053200 to the nearest 100000.\nAnswer: -35100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**4 - 1118142*k**3 + 156279632448*k**2 + 156280750592*k = 0.\nAnswer: -1, 0, 279536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*f + 458 = -13*f + 73 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*u - 15*u**2 + 6*u**2 + 2 - 4 + 25*u + 81*u.\nAnswer: -9*u**2 + 307*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/(c\/(c*c**(6\/5)*c*c)))**(-27)*(c**(4\/5))**(-12) assuming c is positive.\nAnswer: c**(-177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-120)\/(-20)*(-5)\/(-6). Suppose 0*t + t = v*s + 21, -2*t - s + 20 = 0. Suppose 24 = -t*x + 13*x. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -65*s**2 - 3*s + 5. What is q(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-2)\/4) + 2. Let a(j) = -j**3 + 3*j**2 + 3*j - 1. What is a(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 148906.1 nanometers?\nAnswer: 148.9061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/5))**(-24)\/((((z**(2\/21)*z)\/z)\/z)\/z*z**3\/z*z*z*z) assuming z is positive.\nAnswer: z**(-3349\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 32. Suppose 5*i + 26 = 3*r + i, 0 = 5*r - 4*i - j. Let k be (1\/(-3))\/((r - 4)\/2). What is the closest to k in 0.2, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -3. Let v be 2*(-3*(-2)\/12 + 2). Let l = v - s. Does 2 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 67879.24 millilitres?\nAnswer: 67.87924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1863 - -114346?\nAnswer: 116209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 1. Let z be b(1). Suppose z = -a - a - x + 12, -12 = 3*x. Solve 2*o + 0*o = -a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**4\/5 - 181*l**3\/5 - 36*l**2 = 0.\nAnswer: -180, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1592933 to the power of 1\/2, to the nearest integer?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-99)\/(-12))\/((-12)\/(-16)). Suppose -5*g + 14 = -t. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478871526 to the power of 1\/4, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r - 121426*r**2 - 94852*r**2 - 4*r.\nAnswer: -216278*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + -2*(-1 + sqrt(425))*6 + (sqrt(425) + (-2*sqrt(425) - sqrt(425)) + 0 - (2*sqrt(425) + -1 + sqrt(425))) + -5)**2.\nAnswer: -1020*sqrt(17) + 122861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 <= 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118057 is divided by 1617.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f - 1084. What is o(-269)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.24 + -3.44. What is the biggest value in 0.2, -0.06, b, 1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 33, 53, 93, 159?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + -33. Suppose 3*o = t*o. Let x(n) = n. Let f be x(o). Solve f = 4*u + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7334907.\nAnswer: 3, 23, 106303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 76 and 76 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 269, -8\/7, 4, 40.\nAnswer: -8\/7, 4, 40, 269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 0 - ((-21 + 104 - 91) + -1 + 6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/263 and (-2366)\/392 + 14\/49.\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 7*j**2 + 6*j + 2. Let y be m(-6). Suppose y*p = -2*p. Suppose -5*s + 191 + 34 = p. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 2.9, 11, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 - 26*k**3 + 156*k**2 - 216*k.\nAnswer: k*(k - 18)*(k - 6)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9790 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137380 + -78957. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/((-172)\/(-4))*(-6)\/((-2)\/(-65)*5)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4442910 divided by -5405.\nAnswer: -822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2298 - 2*c**2 - 299*c - 2298 to the form j*c + m + y*c**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-18) - ((-37)\/6 + 2). Let a(v) = -49*v**2 + 4 - i + 55*v**2. Let l(o) = -13*o. What is a(l(s))?\nAnswer: 1014*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -321441002103 + 4?\nAnswer: -321441002044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 5:32 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**3 + 45*s**2 + 194*s + 1. Calculate o(-5).\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1316 by -329.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 122.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 1. Let y(g) = 8*g - 4. What is -5*c(l) + y(l)?\nAnswer: 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*b + 686 = 2*v + 43*b, -v - 2*b = -361. What is the remainder when v is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*y - 17212 = -y, 2*i + 17198 = -4*y. Let k = i + 8301893\/965. Which is bigger: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2182523*r**3*z + 11568*r**3 + r**2 + 7*r + 1 wrt z.\nAnswer: -2182523*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 11)\/((-42)\/12 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, -5, -3701, 0, 0.4 in decreasing order.\nAnswer: 5\/2, 0.4, 0, -5, -3701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4466.3 + -4466. What is the nearest to -3 in -4, -27, k, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*n - 15, -4*o + 10 + 2 = 4*n. Let c(l) = -5*l + 8*l - l + n*l. Let r(q) = 3*q + 5. Determine c(r(t)).\nAnswer: 6*t + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -214285, -428566, -642849, -857134, -1071421, -1285710, -1500001?\nAnswer: -1714294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l**2 + 2. Let d be u(-2). Suppose 0 = -4*p + p + 9. Let f = p + -3. Solve -q + 2*s + 9 = f, q - 4*s = s + d for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -433704, -433751, -433834, -433953, -434108, -434299, -434526?\n\"Answer: -18*o**2 + 7*o - 433693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 561174.\nAnswer: 2, 3, 93529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 161 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-33) - 2\/11. Suppose w = 2*x + 2, 2*v - 7*v = -2*x + 28. Is (-12)\/10*80\/v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0\/(-2) - 2 - 135\/(-50) and 69\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 974*w**2 + 10*w - 10*w.\nAnswer: 974*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2 - 39. Let o be a(6). Find the second derivative of -11*p**2 + 97*p - o*p + 3*p**3 + p**3 - 78*p wrt p.\nAnswer: 24*p - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - -16. Let u(a) = -3*a + 9. Let j be u(g). Let f = j - -59. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/8 - 7\/(-36). Let c = -2279\/2 + 20519\/18. Determine p, given that 1\/9*p**2 + c - w*p = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4386264 to the power of 1\/2, to the nearest integer?\nAnswer: 2094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32284287 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14111333 (base 5) in base 12?\nAnswer: 6b815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000383 rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/3*(-6)\/(-4). Let n(l) = -32*l - 4. Let a be n(t). What is the greatest common divisor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mn when two letters picked without replacement from mbdmbddnbm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -c + 3*s, -2*s = -6*s - 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1389, -1388, -1387?\nAnswer: -1386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*(-3)\/(-6)*-29. Let z = -32 + p. Let f = -22 - -31. What is the remainder when z is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 6*p**2 - 2*p + 12. Determine q(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22.8626 - 0.0374. Let m = h + 22. Let s = -3.9 - m. Put 0.3, -6, s in descending order.\nAnswer: 0.3, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 333 + 107. Suppose -3*l = -8*l + h. Let g be 114\/l - 4\/22. Calculate the highest common divisor of 35 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 20. Which is the second smallest value? (a) 0.4 (b) -0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85 + -937\/11. Let d = -7 - -15\/2. Which is the nearest to -2\/5? (a) h (b) 2\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 5*m**2 + 3*m - 2. Suppose -2*q + 4*w - 14 = 0, 8*q = 3*q - w + 20. What is the least common multiple of (-1)\/(2 + -3) + q and h(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -396\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/(-117) - 5\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 243251, 243269, 243299, 243347, 243419, 243521?\nAnswer: 243659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21.2 in -142, 0.4, 0.3, 18.02, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, n: 13, p: 1}. What is prob of picking 1 p and 3 c?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.16 (b) 5\/647 (c) -0.3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.032214*-0.04.\nAnswer: -0.00128856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5762894 and 4?\nAnswer: 23051576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i - 8 = -w, -3*w + 4*i = -18. Suppose -w*a - 13 = 75. Let f = 116 + a. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83 + 83.06. Let p = 0.02 - 0.08. Let k = p - -0.46. Put k, q, 1 in increasing order.\nAnswer: q, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -784*i**4 + 1569*i**3 - 1190344 wrt i?\nAnswer: -3136*i**3 + 4707*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*q - 5*q, 4*l + q - 930 = 0. Let c(p) = 232 - l + 3*p. What is c(-6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 300469 + -300468. Let q be ((-8)\/(-70))\/((-6)\/(-15)). Which is the closest to 0? (a) 10 (b) g (c) 1\/4 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -b**3\/3 + 5*b**2 - 6*b - 14. Give z(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0, -1 in descending order.\nAnswer: 0, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tg when two letters picked without replacement from {d: 1, t: 1, q: 1, g: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.3, -9\/19 in ascending order.\nAnswer: -2, -9\/19, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 1:45 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**3\/3 - 6*h**2 - 2*h\/3 + 6 = 0. What is h?\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 - -15663444?\nAnswer: 15663463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 8*x + 5. Let j be ((-52)\/6)\/(6\/(-9)). Suppose 0 = -i + 19 - j. Calculate m(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = 41*b + 51*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4000, -8188, -12580, -17188, -22024, -27100, -32428, -38020?\n\"Answer: -2*v**3 - 90*v**2 - 3904*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -0.22 (b) -3 (c) 0.7 (d) -2 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 17*n - 13*n. Find the common denominator of 3 + 172\/(-32) + (-5)\/n and -41\/146.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89292725 - 89292529.268729. Let t = -193.73127098 + g. Let p = -2 + t. Round p to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-8)*(-68)\/1. Suppose 4*m = 45 + 7. Let t = -21 - m. Do x and t have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**6\/120 + y**5\/30 + y**4\/8 - y**3\/6 + 2*y**2. Let q be t(2). Suppose 0*n - 15 = -q*n. Solve -s + n = -4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 181462841.00001616 + -181462810. Let u = w - 31. Round u to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9674082 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2. Let t(b) = -b**3 - 4*b**2 - 6*b - 4. Let u(r) = -t(r) + 3*x(r). Let f(d) = d**3 - 8*d**2 - 2*d + 10. Let z be f(8). Determine u(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + s + 4. Let p be n(-4). Let v = -4 + p. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*k - 65551469 + 65551469.\nAnswer: -46*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 11:51 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/30 and 26\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*s - 16. Suppose -s*a + 14801 = 2421. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 241210, 973093, 2192898, 3900625, 6096274, 8779845?\n\"Answer: 243961*g**2 - 2751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -125240502 + 104?\nAnswer: -125240354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55\/3 - -18. Let t = -9 - -2. Let u = 12 + t. Which is the second biggest value? (a) -1\/4 (b) z (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + 0)*3 + 0)**2 - (1 + sqrt(1539) + 1 + -3 + sqrt(1539) + -1 + sqrt(1539)).\nAnswer: -27*sqrt(19) + 13853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**6\/240 - 41*u**4\/12 - 36*u. Let l(i) be the third derivative of a(i). Determine l(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((2\/(-5))\/((-980)\/(-350) - 2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 4, -3*m = -3*g - g - 10. Let u be 1 - 1 - (g + 3\/(-3)). Solve -u*a + 31 = 11 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2123509 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2037.67 less than 0.06?\nAnswer: -2037.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, 70, -4.38, 3, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a - 2. Let r(w) = -51*w + 33. Let g(t) = 2*r(t) + 22*x(t). What is the units digit of g(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31134491621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002838 to 6 decimal places.\nAnswer: -0.000284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {e: 2, v: 1, g: 4, m: 2, d: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + u + 363 = 0, -p = p + 5*u + 720. Let r = -514 - p. Let h = 60 - r. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2056 and 2052 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 956556 is divided by 3157?\nAnswer: 3142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186, -364, -530, -684?\nAnswer: -826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2357828 and 12956?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-14))\/((-30)\/(-24))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1346704805 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 77*g**2 + 920*g - 778. Determine o(14).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6*m**2. Let w(o) be the third derivative of -7*o**4\/24 + 11*o**2. Calculate c(w(s)).\nAnswer: -294*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 152109 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 690 * 17.\nAnswer: 11730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 272*f + 2 + 256*f - 555*f to i + m*f and give m.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2716*z + 1731*z + 902*z.\nAnswer: -83*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**2\/2 + 16. Let y(f) = 16*f**2. Determine c(y(j)).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313285 is divided by 650.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrbnqqbnqnanrb. Give prob of picking 1 a and 1 r.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000094251 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9*m**2 - 7*m + 9. Is z(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20.23 + 20.23. Let j = 71 - 66. Which is the third smallest value? (a) 2.4 (b) -0.3 (c) k (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - h - h + 458 = 0, 2*m - 244 = 2*h. List the prime factors of m.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 63, 3, 4 in descending order.\nAnswer: 63, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**10\/((w\/(((w\/w**(3\/19))\/w)\/w))\/w) assuming w is positive.\nAnswer: w**(168\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbbx when four letters picked without replacement from {b: 4, x: 4, h: 11}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s + 21. Let z(r) = -9*r + 41. What is 5*i(h) - 2*z(h)?\nAnswer: -2*h + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13.078 and 45.24?\nAnswer: 58.318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a factor of 51154448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (260\/15)\/((-2)\/(-3)). Let p be (2 + (-24)\/9)*6. Let c be (-234)\/(((-12)\/p)\/(-3)). What is the highest common factor of c and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 15974 = 12226. Let j = 11 - 8. Suppose j*w - q = 6*w. What is w rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 789.\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 214 + -214. Which is the nearest to -14? (a) k (b) 2\/7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*n**2 + 4*n**3 + 0*n**2)*(2 - 2 + n) - 2*n**4 + 2*n**4 - 2*n**4)*(-1 - n + 1).\nAnswer: -2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (408\/(-92)*644\/(-112))\/((2\/4)\/1).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 5*m + 7, -3*i + 4*m + 12 = 17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u. Let n be w(-2). Calculate the smallest common multiple of 11 and n*(-1)\/(-2)*5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*s + 20 = -0*s, 0 = 3*i + s - 14. Is i\/14 + 645\/21 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20145962984245 take away -1.6?\nAnswer: -20145962984243.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.07 and 5.662079551923.\nAnswer: 5.732079551923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 12*i**2 + 13*i + 23. Let w be h(-11). Solve 0 = 5*d + 9 + w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + y)*(30 - 2*y + 16 - 65) as d*y**2 + m + r*y and give r.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 26*v - 6 = -29*v, r - 4*v - 2 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -391*p**2 + 1564*p. Let m(y) = y. Give -g(v) + 1564*m(v).\nAnswer: 391*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79013.\nAnswer: 11, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 308762.7 rounded to the nearest 100?\nAnswer: 308800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -11*q + 5 + 9*q**2 - 3*q**3 + 2*q**3 - 1 + 2*q**3. Let s(m) = m**2 + 8*m + 2. Let v be s(-6). What is the tens digit of d(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 28 = -11*i. Find the second derivative of -5*o**i + 17*o + 3*o**4 - 5*o + 8*o**4 wrt o.\nAnswer: 72*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-17 + 3 + 9*(-135)\/(-81)). Let 0 + 5*a**j - 7\/3*a**4 + 4\/3*a + 1\/3*a**5 - 13\/3*a**2 = 0. What is a?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*k = 20, 147 = 3*f - 3*k. Suppose 0 = -2*z + 85 + f. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 7) to base 14\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3829761, -3829763, -3829765, -3829767, -3829769?\n\"Answer: -2*o - 3829759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7637637695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 100296245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.07, -5723, 1\/4, -3, -0.066?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.16 + -18.84. Let d = l + 19.4. Suppose 4*y = 2*i + 2, -3*i + 0*i - 10 = y. Which is the second smallest value? (a) i (b) 5\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -527145, -527123, -527101?\n\"Answer: 22*a - 527167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21307346?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -40*p**4 + 6*p**3 + 54 + 10*p**4 - 60 + 25*p. Let h(l) = -l**4 + l**3 + l - 1. Let f(x) = -6*h(x) + m(x). Find the second derivative of f(k) wrt k.\nAnswer: -288*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70932*d**3 - 79*d**2 - 50*d - 6 wrt d.\nAnswer: -425592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -6. Let r be 47\/(-15) + 3 - (-934)\/30. Let c = 36 - r. Sort -5, c, q in decreasing order.\nAnswer: c, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 11:22 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 7 = -x - 3*f, 0 = 3*x - f - 9. Let s(d) = 11*d**3 + 2*d**2 - 2*d + 3. Let z be s(x). Let v = -60 + z. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 134\/(-600) - 2\/(-8). Let r(z) = 21*z**2 - 337*z + 17. Let w be r(16). Which is bigger: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4635 + 3?\nAnswer: -4632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1174 by -8.\nAnswer: -587\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -356 - -601. Let f = -245.5 + p. Let h be (15 + -1)*2\/(-4). Which is the closest to h? (a) f (b) 0.2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 5*g + 1. Let h be q(-4). Suppose -h*w - 2955 = -4*o + 3631, 0 = 5*o - w - 8243. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 2)\/((-12)\/(-168)). Suppose 9*p - 11146 = 302. Suppose -i*s + 18*s = p. Is s a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/3 - 5810*t**2\/3 - 34888*t\/3 - 46528\/3.\nAnswer: (t - 5816)*(t + 2)*(t + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 4.2?\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 b, and 1 q when four letters picked without replacement from abbqaabaqvq.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaapapaa. Give prob of picking 1 p and 3 a.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 946*r + 1368*r - 659*r.\nAnswer: -237*r + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187063.\nAnswer: 283, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 3*v**2 - 3*v. Let h(o) = -o**2 - o. Suppose -2*z + 2*t = -8, -z + 2*z + 8 = -3*t. Give z*i(b) - 3*h(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-9)\/90*-10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 3*v + 7 - 3*v - 189 - 2*v**2.\nAnswer: -2*v**2 - 182","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 8*c - 85 = 0. Let g = c - -118. Suppose 0*z + g = 2*z - 5*f, -2*f = -4*z + 210. What is the remainder when z is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -6, -8, 176, 18 in increasing order.\nAnswer: -8, -6, -5, -4, 18, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -234325 - 1?\nAnswer: -234326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*t + 508 - 508 + (2 - 4 + 3)*(-1 + 1 - 2*t) + 8*t + 9*t + 19*t.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3939145.\nAnswer: 5, 7, 241, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -8*u + 9. Suppose 2*z - 6*z - u*a = -2225, -2789 = -5*z + 4*a. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 10*c. Let h(w) be the third derivative of w**8\/10080 + w**5\/15 - w**2. Let b(y) be the third derivative of h(y). Determine s(b(q)).\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*o - 14 = h, 5*h - 2*o = 14. Suppose 4 = h*p - 8. Find the first derivative of p + 31*j**3 - 2*j**4 - 31*j**3 wrt j.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 15*r**2 + 3*r + 2. Let t be b(10). Let y be ((-152)\/12)\/((-6)\/t). What is y rounded to the nearest ten?\nAnswer: -990","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -14.9 (b) -25 (c) -3\/19 (d) -0.03 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 125299320?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 29*u - 15*u**2 - 5*u**3 + 6*u**3 + 6 - 27. Let o be y(13). What is the highest common divisor of o and 1422?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/(-2*(-6)\/(-40)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g*p*w - 359*g*p + 2*g*w - g - 56209*p*w - 4*p + 7*w + 319 wrt w?\nAnswer: 2*g*p + 2*g - 56209*p + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/7))**(-42)*(s\/s**(-7\/4))\/(s*s\/s**(-3)) assuming s is positive.\nAnswer: s**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5*f - 1. Let m be l(-1). Let s be ((-2)\/(-2))\/(2\/m). Suppose -5*i + s*n + 2 = 0, 2*n = 2*i - n + 8. Solve -z + 9 = i*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -7*s + 33. Calculate d(12).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 8*l**2. Let r(g) be the third derivative of -g**5\/20 - 10*g**2. What is r(v(o))?\nAnswer: -192*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92950823 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3131eb (base 16) to base 7\nAnswer: 36255354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of 120*p**3 + 19*p**2\/2 - 199*p. Is n(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 31 = -101. Suppose -3*v - 13 = 5*g, 3*v - 2*g = 8 + n. What is the smallest common multiple of v and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.68890143 to 1 dp.\nAnswer: -18.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3255*b**3 + 204*b**4 + 994*b**2 - 8354*b**2 - 3*b**5 + 10*b**2 = 0. Calculate b.\nAnswer: -2, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -14 - 4\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqrdccrc. Give prob of picking 1 r and 1 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 3*p - 13, 5*n + 5*p - 20 - 50 = 0. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 227\/(-4))\/(5\/(-20)). Let n = m - -314. Let y(i) = -16*i - 3. Let g be y(-2). What is the greatest common divisor of n and g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -133539602*b*k**2 + 237948271*k**2 wrt b?\nAnswer: -133539602*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/101, -4, -0.5, 2\/15, 2\/207?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: 1162629 divided by -9937\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*14.48\nAnswer: 0.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1*(-6)\/12)\/(-1))\/(-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443750310?\nAnswer: 2, 3, 5, 149, 33091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b. Let y(r) = 248*r - 126*r - 120*r. Determine -3*k(u) - 5*y(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 31*s**2 + 36*s + 184. Let c be r(-30). Which is smaller: c or -267?\nAnswer: -267","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/(z\/(z*z**(-1\/3)))*z**7\/z*z**(-28)\/z*z**1 assuming z is positive.\nAnswer: z**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 11) to base 12.\nAnswer: b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 1076860?\nAnswer: 4307440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 9*v + 70 = -8*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*q**3 + 462694*q + 3895830?\nAnswer: 6*q**2 + 462694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 3. Let u(w) = 1. Let n(a) = 3*u(a) + x(a). Let b(v) be the first derivative of -1\/2*v**2 - 5 + 0*v - v**3. Calculate b(r) - 2*n(r).\nAnswer: -r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**3\/2 + 3*w**2\/2 + w = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317 - 47 = 4*y. Let p = 108 + y. Solve 1 = -4*r + p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22022012 (base 3) to base 10.\nAnswer: 6053","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*l + 42*l = -l + 321. Which is smaller: 2191 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 25*j**2 - 4*j - 71. What are the prime factors of h(27)?\nAnswer: 2, 7, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473598 is divided by 2821.\nAnswer: 2491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 39556 and 2412879\/61 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21930 divided by -43?\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 2, 5*n - 11 = -5*v + n. Let r(z) = 2*z - 1. Let o be r(2). Solve -2*m + v*h - 20 = 0, -2*m + o*h = -4*m + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 42*g + 379. Let x be a(-29). Solve 3*q = 7*p - x*q + 34, 4*q - 16 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3 + (-3 + 4 - 3)*(1 + 0 + 1) + (1 + 3 - 2)*(-1 + 0 - 1))*(3*u + u - 6*u).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4\/15 - 2*b**3\/3 - 14*b**2\/15 - 2*b\/5.\nAnswer: -2*b*(b + 1)**2*(b + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 137515, 137544, 137573, 137602?\nAnswer: 137631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41462586533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -26*j + 25*j + 3*f, 4*j + 5*f = 25. Solve c - 2*z - 18 = -6, -3*c + 3 = j*z for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 + 2*g - g**2 - 5 - 11 + 5 + g**3 in the form s + u*g**2 + t*g**3 + d*g and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*z + 518 = 98 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/15)\/((234\/120)\/13*(-328)\/10086)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 127748136 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2637552032 to the nearest integer?\nAnswer: 51357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(343) + 3 + -2))**2 - (((sqrt(21) + 2*sqrt(756))\/sqrt(3))**2 + -3).\nAnswer: 56*sqrt(7) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/9*-216*2\/(-32)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 4:00 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20369.034 + 20369. Is 4\/79 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.2969 to zero dps.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38.93 + 38. Let f = q - -0.92964. What is f rounded to 5 decimal places?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -130*a - 5. Let q(j) = -j + 1. Calculate -3*q(s) - r(s).\nAnswer: 133*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 55, 93, 127, 151, 159?\n\"Answer: -w**3 + 4*w**2 + 33*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -336 or -2360\/7?\nAnswer: -336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 174 + -151. Calculate the common denominator of p and -29\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*v - v - 3 = 0, 5*l - v + 18 = 0. Let g be (-2)\/2 - 6 - (0 + l). Let j(n) = -11*n - 12. What is the units digit of j(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 to the power of 1\/9, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2826 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 1. Suppose 0 = 2*m - 5*y - 13, m = 4*m - 4*y - 2. Let q(d) = -d + 3. Let z(r) = m*p(r) + 2*q(r). Let j(f) = -12*f. Determine j(z(v)).\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + 3 + -2 + sqrt(147))**2.\nAnswer: -42*sqrt(3) + 444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -302b8?\nAnswer: -302b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*m - 8*m + 360 = 0. Solve -17 = -5*k - 2*y, -m*y - 10 = -2*k + 16 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1690, 1695, 1704, 1717, 1734, 1755?\nAnswer: 1780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 6\/13 (c) 2\/9 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -202 - -212. Differentiate 63*a - 25 + 11*a + w*a - 10*a wrt a.\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10819*h**6 - 6*h**2 - 3*h + 2339 wrt h?\nAnswer: 1298280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 6*a - 3. Let k be n(4). Suppose -q - 4*u = -16, -5*q = u + u - 98. What is the highest common divisor of q and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 392 = 3*s, -2 = -2*o - 0. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrzzlzzzrrezrrr. Give prob of picking 2 z and 1 l.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39 - 2*a - 42*a**2 - 26 - 9*a**3 + 41*a**2 + 9*a**3 - 115*a**4 wrt a.\nAnswer: -1380*a**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2784 - 2850. Sort 3, 2, m, 5.\nAnswer: m, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -10, -1.2, 570, -21 in increasing order.\nAnswer: -21, -10, -1.2, 0, 570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(0 + 0 + 2*a) + ((-2*a + a - a)*(-6 + 2 + 2) - a + 0*a + 0*a + a + 0*a - 2*a)*(-13 + 21 - 11).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*q - 153 - 125 = 232 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 173.777 + -175. Let v = -0.037 + b. Let w = 1.25886 + v. Round w to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23768025 is divided by 634?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -161, 4, -3, 5, 13.\nAnswer: -161, -3, 2, 4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**2 - 71*l + 214. Determine v(11).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 5*o**2 - o - 5. Let d be l(-5). Suppose 5*u - 10 - 5 = d. What is the derivative of 4 + u*a**2 - 5*a**2 + 3 - 4*a**2 wrt a?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n**4\/24 + 11*n**3\/6 + 2*n**2 - 4. Let h(w) be the second derivative of z(w). What are the prime factors of h(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o**8)*o**(1\/2))**(3\/26) assuming o is positive.\nAnswer: o**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -28*(-4)\/(4\/2). Suppose 0*d = -2*d + c. Let n be 176\/d - 4\/14. Calculate the greatest common factor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 721*z + 4293. Calculate j(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 862219?\nAnswer: 862219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 42.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1386\/(-72) - -20) + (-1)\/1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffmz when four letters picked without replacement from nfffnnfzfknwwzmn?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 16499\nAnswer: -6599.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 - -0.51. What is the nearest to 3 in 2, 3\/2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 + -45. Are p and -4\/127 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**2 + 43*f - 19. Calculate z(9).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(228) - sqrt(57))\/sqrt(3)) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 22834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 806 - 209 = 3*s. Suppose 0 = 5*v + 54 - s. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8952 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 195?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4474035.91 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3790.892 nanometers to meters.\nAnswer: 0.000003790892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-115) + (864\/1518)\/(-6)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*w + 2646 = 183*w + 538*w + 34. Determine r so that 8\/5*r**3 - 18\/5*r**5 + 0*r + 108\/5*r**w - 48\/5*r**2 + 0 = 0.\nAnswer: -2\/3, 0, 2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 347 - -5.\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-13)\/7 - (-1559)\/10913.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6065902 is divided by 539.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*g**3*w**4 + 2*g**3*w + 5*g**2*w - 18*g*w**5 + g*w**2 wrt w.\nAnswer: 120*g**3*w - 1080*g*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i = 9*i - 450. Let w be ((-340)\/i)\/(2\/5). Solve w = -4*c + 13 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t**2 - 10*t**2 + 2*t**2 - 6*t**2.\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4055 + 2219?\nAnswer: 6274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 20 = 2*s. Is 3 + -2 + (-90)\/s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16407250 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 67, 124, 181, 238, 295, 352?\n\"Answer: 57*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/47799 and -97\/432.\nAnswer: 2294352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - 30 - (-10)\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6670 - -6830. What is the highest common divisor of 590 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 26, 2, -0.5, 3\/5, 45?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -12*d**2 + 6*d + 6. Let h(j) = -j**2 + j + 1. Let v be -1 - 34\/(-5) - (-6)\/30. Let r(p) = v*h(p) - l(p). Let s(x) = 2*x**2. Calculate r(s(t)).\nAnswer: 24*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**6\/120 - m**5\/4 + m**3\/2 + 5*m**2. Let c be v(15). Solve 6 = -c*i + i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from yyyyyyyyyyyyyyyyuy.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -4 - (-2 - 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2884 + 3700 = 16*r. What is the highest common factor of 136 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*z - 177*z - 4*s + 38 = 0, -z - s + 4 = -4*s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 952886.2us to milliseconds.\nAnswer: 952.8862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(392))\/sqrt(7))\/(sqrt(8)*1*-3).\nAnswer: -5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjpunjejpnjujjpe. What is prob of sequence pjnj?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14953 less than 14953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**8\/(r\/(r*r**(3\/2))))**(-4\/3) assuming r is positive.\nAnswer: r**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayp when three letters picked without replacement from {p: 2, x: 4, a: 4, b: 3, y: 1}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3455*h**2 + 6185 wrt h?\nAnswer: 6910*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 76*h**3 + 23*h**2 - 6*h. Let x(u) = -76*u**3 - 27*u**2 + 7*u. Determine -7*w(o) - 6*x(o).\nAnswer: -76*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(684) + 0)*5 - (-2*(sqrt(19) + sqrt(19) + 0) - (4 + (-3*sqrt(19))**2)).\nAnswer: 34*sqrt(19) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 21 - 3 = 0. Suppose 248 = -t*o + o. Let y = -84 - o. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -10*c + 4*c. What is the remainder when 16 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -65*i. Let v(t) = -t. Calculate k(v(f)).\nAnswer: 65*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1032218.\nAnswer: 2, 11, 46919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99654.\nAnswer: 2, 3, 17, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -77844.8437659663 plus -2?\nAnswer: -77846.8437659663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**5 + s**5 + s**5 + (13*s + 18 - 18)*(2 + 2 - 1 + (-5 + 5 - 1)*(-4 + 2 + 3))*(2*s - 2*s + s**4).\nAnswer: 27*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/35 and -64\/175.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5478923 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - q = 19, -2*a + 4*a - 15 = -5*q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -57803876093 and -0.2.\nAnswer: -57803876093.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -67153 and -0.2.\nAnswer: -67153.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 4 (b) 0.1 (c) -112 (d) 0.5 (e) 0.076\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-3)\/1))\/((-360)\/(-2880))\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1999d5 + -41?\nAnswer: 199994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-775)\/(-682)*2*-11.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1311.5958 + -2876.39.\nAnswer: -4187.9858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.43 - -0.53. What is the smallest value in 2, 0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((8 - 3 - 0) + -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3366 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44777 is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100 (base 2) to base 4.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.595951 rounded to 1 decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*((sqrt(245) + sqrt(245)*-1)*5)**2*-2 - (-3 + (sqrt(245)*2*-6 + sqrt(245))**2 + 3)).\nAnswer: -59290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujfnkuvf. What is prob of picking 2 u and 1 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(3\/13))**46\/((g*g**(-10\/9)*g*g)\/((g*g**(2\/91))\/g)) assuming g is positive.\nAnswer: g**(27451\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -9*q**3 + 61*q**2 - 31*q - 35. List the prime factors of n(-12).\nAnswer: 11, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11920056 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6989*c - 4 = 6987*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**2 + 3315*x + 86000 = 0.\nAnswer: -25, 688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 3551 and 3549 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -14*h - 1. Let z be ((-18)\/(-12))\/((-3)\/(-8)). Let j(n) = 7*n. Let q(i) = z*m(i) + 7*j(i). Let g(l) = -15*l - 9. Give -6*g(x) + 13*q(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddrddddfscffsrldfcds. Give prob of sequence csc.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 3 = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -200.79 + 7.39. What is m rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-14)*2\/(-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.71 - 1.791. Let y = n - 0.319. Let z(x) = x**3 + 3*x**2 + 8*x + 13. Let i be z(-2). Which is the third biggest value? (a) -1\/4 (b) i (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixiizxzzxzu. What is prob of sequence uzx?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/10 and 55\/852.\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 356*n - 65*n + 442*n. Let f(v) = 2*v**2. Give f(l(t)).\nAnswer: 1074578*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9420708 divided by -6?\nAnswer: 1570118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1466.9 * -20.2\nAnswer: -29631.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 11*b - 27. Suppose b*v - 5 = 3, -2*j - 4*v + 498 = 0. What are the prime factors of j?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -134.57 + 134. Let u = q + 0.07. Which is the smallest value? (a) -4 (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9184 - 38?\nAnswer: -91bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, x: 1, l: 6}. What is prob of sequence ixl?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 65a + 0?\nAnswer: 65a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2371398 (base 10) to base 16\nAnswer: -242f46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7*z. Let h(m) = 359*m**2. Determine v(h(k)).\nAnswer: -2513*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*z = 22, 0 = 5*s - 0*s - 5*z - 25. Let r(g) = 4*g + 1. What is the remainder when s is divided by r(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -a - 12, 5*a - g + 4 = a. Let x = 7076\/27 + -262. Which is smaller: x or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1 = 19. Let l be z\/(-4) - (-140)\/8. Suppose 0 = -h + l - 0. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.2, -1.7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 73*m**5\/20 - 27*m**2\/2 - 45*m. What is the derivative of c(k) wrt k?\nAnswer: 219*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 6. Let u be 4\/42 + 31 + (-1973)\/63. Put -44, p, u in decreasing order.\nAnswer: p, u, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/7*(-4)\/(-6). Let l be ((-1)\/3 + 0)*12 - -5. What is the closest to l in 1, -0.5, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -52757*k + 52839*k - k**2 - k**2 = 0?\nAnswer: 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nononrnttnnnernnor. What is prob of picking 1 e and 1 n?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34299 = -268*q + 38597. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 9:11 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/7020 and 77\/29520?\nAnswer: 1151280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3168)*-2)\/(sqrt(128) - sqrt(32) - sqrt(2))*-2)**2 + -2 + 5)*-4.\nAnswer: -11276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2826050 rounded to the nearest one hundred thousand?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(12) + ((sqrt(120)*2)\/sqrt(10) - sqrt(12)) - -4*(sqrt(12) + sqrt(36)\/sqrt(3)))\/(sqrt(864)*-1*-1) + -5).\nAnswer: -5*sqrt(2)\/3 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -1. Find the common denominator of 50\/475 - 5*1952\/3192 and (-190)\/24 + f - -1.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189099316, 378198636, 567297960, 756397288?\nAnswer: 945496620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -3.5. Let m = 0.38 - -3.12. Let n = m + j. Which is the closest to 0.1? (a) 0.4 (b) 9 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**3\/3 + 794*b**2\/3 - 265*b = 0?\nAnswer: -795, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + o = 4, 3*o + 62 = 4*j + 72 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26692 divided by -13346.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2086\/(-5215))\/((-26)\/(-20)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*s = 25 + 28, -5*d + 90 = -5*s. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t - 5. Let j = 139 + -138. Let p be o(j). Suppose 2\/3*g + p - 2\/3*g**2 = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12401*t**2*x + 10*t**2 + t + 2260324*x wrt t?\nAnswer: 24802*t*x + 20*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 3. Let z(a) = -307*a. Is z(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z + 3*z - 60 = 0. Let y(u) be the first derivative of -9 + 13\/2*u**2 - z*u. What is the first derivative of y(p) wrt p?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5354103 - 5354103 + 2*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/428256 and 25\/9981?\nAnswer: 474935904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12134.7 - 0.5\nAnswer: 12134.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -759 (b) -3 (c) 0.2 (d) -69.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33.2 + 33.1575. Let u = -0.041792 - n. Round u to five decimal places.\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 8\/5*h**5 + 7\/12*h**6 + 11\/8*h**4 + 1\/3*h**3 + 0*h**2 - 19 + 0*h. Solve j(m) = 0 for m.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 5) + 8 - (4 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of z**3\/9 + 157*z**2\/3 + 24649*z\/3 - 7007. Factor h(g).\nAnswer: (g + 157)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97036 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 2\/9 (c) 123.2 (d) 4\/5 (e) -1\/2 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -8*o**3 - 2*o**2 + 3*o + 2. Let c = 10 - 4. Let a = c - -12. What is the remainder when d(-2) is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33852.15l?\nAnswer: 33852150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1022 + 266 = -4*o. What is the highest common factor of o and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 111, 75, 5, -105, -261?\n\"Answer: -l**3 - 11*l**2 + 4*l + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 229875721 and 1138511.\nAnswer: 2528632931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 5*k**2 + 6*k + 2. Let r be m(-2). What is the second derivative of -6*n**2 + r + 5*n - 7 + 0*n wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/5*3\/(-1)*126\/(-2457).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -4, 1 in increasing order.\nAnswer: -4, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in -1\/5, 2, 0.5, 4, 2\/11957?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**3*v))\/v*v)**(1\/10)*(v*v**(-1)\/v)**(-3\/2) assuming v is positive.\nAnswer: v**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 7:17 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**6\/6 + i**5 + 5*i**4\/3 + 473*i. Factor j(d).\nAnswer: 5*d**2*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (4 + 11) - 30 - (-35 + 53)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*m = -18*m - 741 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 1\/20*g**5 + 0*g**4 + 3\/2*g**2 + 3 + 3*g + 1\/6*g**3. Let i(k) be the first derivative of f(k). Calculate i(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26329872 divided by 3291234?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cp when two letters picked without replacement from cacccyppc.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(16)\/sqrt(4))\/(sqrt(8)*-1 + sqrt(2))*-3.\nAnswer: 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -27, -5, 0.2, -12\/49, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven eighths of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1539607 and -0.3.\nAnswer: -1539607.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*l - 2*m - 72, 3*l - m - 43 = 0. Let a = 5 + 3. Calculate the lowest common multiple of l and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27714.13609 rounded to the nearest ten?\nAnswer: 27710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(119) + sqrt(119)*-2)*1)\/((sqrt(84)\/sqrt(3))\/sqrt(4) - (-1*sqrt(28))\/sqrt(4)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*l. Suppose l*n = -5*n - 20. Which is the nearest to 1? (a) n (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -9. Let g(z) = z**3 + 4*z**2 - 4*z + 2. Let j be g(-5). Let f be 2\/3 - (-11)\/j. Which is smaller: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141.4 * -21616\nAnswer: -3056502.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4*l + 5. Let a be (3\/(-10)*2)\/(6\/(-90)). Let f be m(a). Let h = f - -135. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 471 - -1166. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1160 and -0.0526.\nAnswer: -1160.0526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.69 + -15.\nAnswer: -13.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 732*4\nAnswer: 2928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6014 and 229114.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -10. Suppose 2*d = d + 2. Calculate the remainder when b is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1093645.\nAnswer: 5, 7, 31247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 16, -0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4340002*g - 2. Let a = -76 + 123. Let n = -46 + a. Let v be o(n). Round v to the nearest one hundred thousand.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(9\/5)\/n*n)**(16\/7)\/((n*n**(10\/3))\/n**16) assuming n is positive.\nAnswer: n**(271\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f - 125\/2*f**2 - 5\/12*f**4 + 0 - 25\/3*f**3. Let l(j) = 0. Calculate j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (0 + (-7 - -3)). What is the third derivative of -3*y**2 + 0*y**j - 2*y**6 + 0*y**2 + 4*y**2 wrt y?\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 30577757 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.58 - -3.62. Let l = x - 0.04. Let h = -293\/63 - -31\/7. Which is the second biggest value? (a) h (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 33 = 4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 702838 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -7, 2, 3, -1\/13799, -2\/103, 0.1?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (430\/(-4))\/(141\/(-1410)).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, -32, 3 in ascending order.\nAnswer: -76, -32, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 113274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 97*o*q + 5711*o - 1868819*q wrt o?\nAnswer: 97*q + 5711","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 216, 200, -294, -1506, -3676, -7044, -11850?\n\"Answer: -40*b**3 + b**2 + 261*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 3*a**2 + 264*a - 207. What is t(-18)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4351 a factor of 2530058639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -7. Let s = 34 - 31. Solve -j*n + 2 = -v, 0 = v + 2*v - s*n + 12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 0 + 3638 - (-38)\/133*-28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, 1, 11, -402, -5 in decreasing order.\nAnswer: 11, 1, -2, -5, -7, -402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 2:04 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1014 * -0.063.\nAnswer: -63.882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000813237919 rounded to seven dps?\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67853 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 34\/3 (c) 10\/9 (d) -0.4 (e) -0.5 (f) -42 (g) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -897*r**3 + 66346 - 1418*r**3 - 66346 + (0*r + 4*r + 0*r)*(0*r**2 + 3*r**2 - r**2) - r**2 + 2*r**3 + r**2.\nAnswer: -2305*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 25 = 5*w - 5*a, -w + 25 = 5*a. Is w equal to 1\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27 + 21 + 145 - 2)*(-24*v**2 + 0*v**2 - v**2) to the form a*v**2 + w*v + l and give a.\nAnswer: -4775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41818 - 41818 + 5*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -37, -204, -493, -898, -1413, -2032?\n\"Answer: u**3 - 67*u**2 + 27*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + k - 5*k - 100 = 0, 0 = 4*z - 3*k + 189. Let y be 237*(-1)\/4*-4. Find the common denominator of 95\/18 and ((-2)\/z)\/((-2)\/y).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 8*w - 8 - w**2 + 7*w - 7*w. Let r be z(6). Suppose 7*l - 18 = -r. What is l rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5*s = -35, 2*g - 4*s = -g - 25. Let a be (11 + -1)\/(g + -14). Which is bigger: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 15) to base 13\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -132194, -528758, -1189698, -2115014?\n\"Answer: -132188*f**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35\/2, -2, -0.5, -4\/3, -0.4 in ascending order.\nAnswer: -2, -4\/3, -0.5, -0.4, 35\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 203722816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -23656*u + 1407 + 1384 - 2791 in the form w + x*u and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 + 75 + 103*u + 282*u + 380*u - 139.\nAnswer: 765*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10291394?\nAnswer: 2, 73, 70489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9802.29l in millilitres?\nAnswer: 9802290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 762 a factor of 3381857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 619135313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 26 = -110. Which is the second biggest value? (a) r (b) -1\/4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + (-2 + sqrt(1573))*-2 + 3)*-4.\nAnswer: -36 + 88*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 4\/291?\nAnswer: 4\/291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 - 144*l + 2204. Let u be h(22). Solve 2*j + 16 = -u*b + 4, -3*b = -2*j - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(204)\/sqrt(3) - (-3 + sqrt(17) + sqrt(51)\/sqrt(3))) - (sqrt(2448) + sqrt(2448)*2 - (sqrt(2448) + -1)))**2*6*-3.\nAnswer: -176706 + 4320*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1) + -1 + 5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 3*s + 2*s + 4*m, 0 = -2*s + 2*m + 22. Suppose -2*g = -3 - s. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7159.732 kilometers in millimeters?\nAnswer: 7159732000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 185 (b) 2\/19 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10480 or -1455?\nAnswer: -1455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yazyrrlcrll. What is prob of picking 3 l?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47369 + 23681 + 35*r + 23690 - 2*r**3 + 17*r**2 + (r + 0*r + r)*(-2*r**2 - 1 + 1).\nAnswer: -6*r**3 + 17*r**2 + 35*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15*(-11)\/33*3)\/((-2)\/18). Suppose -k + 2*n - 12 = 0, 3*k - n = -k - 41. Let r be (-12)\/k*50\/4. Calculate the highest common factor of r and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = o. Let v(y) = 2*y - y + o*y. Let b(c) = 4*c**2 - 3. Let x(k) = 3*k**2 - 2. Let u(s) = 2*b(s) - 3*x(s). Determine v(u(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2522036?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -652643904 divided by 902\nAnswer: -723552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4375 (b) 0.1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/5474 and -1\/13685.\nAnswer: 27370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**4\/3 - 4*h**3 - 120*h**2 + 1600*h\/3 = 0.\nAnswer: -10, 0, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 y when three letters picked without replacement from ztbtvvzttvyvtvv?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 651*h**5\/5 - 297*h**2\/2 - h - 812. What is the second derivative of b(l) wrt l?\nAnswer: 7812*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 346, 449, 616, 847?\n\"Answer: 32*n**2 + 7*n + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*n**2 - 6378*d**2*n + 2*d**2 - 2*d*n**2 + 4*d*n + 4*d + 723*n wrt d.\nAnswer: -4*n**2 - 12756*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -1\/1029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1841 is divided by 37.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*y + 48*y - 1. Are y and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 328 and 6?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*b + 8699 - 8527 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -974, 15, -0.2, -21\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2231315234 to the nearest integer?\nAnswer: 1307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r + 6*r + 87*r**2 + 0*r - 13*r**2 as q + b*r + k*r**2 and give k.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/3))**(-7\/2)*t**8*t**(1\/3) assuming t is positive.\nAnswer: t**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)*1*4)\/(sqrt(54)\/(sqrt(30)\/sqrt(5)) + sqrt(9)))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 17 = 29 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-42) + ((-92)\/28 - -3). Let y be 4\/(-14) + (-4194)\/21. Let x be (1 - 22\/20)*y\/(-160). Is j at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 9*b + 20. Calculate w(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46\/387 + -14\/43. Is 0 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 2\/3 (c) 0.02 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2327 divided by 3?\nAnswer: -2327\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -669477\nAnswer: -7\/669477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b - 7. Let d be r(5). Suppose -5*a = -h - 1124, -d*h + 1128 = a + 4*a. Let v = -160 + a. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*z + 4*y, -4 + 2 = -y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180589 is divided by 1825.\nAnswer: 1739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 40, -3, 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 180.0002 days?\nAnswer: 4320.0048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 + -39. Let t = -111 - -118.3. Let p = -7 + t. What is the fourth smallest value in 2\/17, 1\/4, h, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1188304 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54.1 + -57. Let v = -3.9 - b. Sort 3, v, 5 in ascending order.\nAnswer: v, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230022 - -2?\nAnswer: -230020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 2*h + (0 + 3*h + 0)*(-3 + 1 + 0) + 1 + h - 1 to the form f*h + y and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2520804 by 7458.\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*l**3 + l**3 + 2*l**3)*(-101*l + 68*l - 68*l).\nAnswer: -1212*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 13*g + 16. Let r be a(-14). Suppose -4*k + 6*k - 8 = -c, 3*k - 3*c = -6. Suppose k*y - 7 = 3. Solve 0 = -u + 1, 2*u - r + y = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i - 6*i + 7*i**2 + (1 - 1 + i)*(2*i - 1 + 1) + 5*i**2 - 5*i**2 + 2*i**2 + i**2 + 0*i**2 + i**2.\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((60\/7)\/12 - (-990)\/(-154)) + 6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 16*a - 61. Let k(b) = -9*b + 139. Let v be k(15). Let o be q(v). Solve 2*p + 3*c = -2 + 3, -o*c = p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87961766, 175923530, 263885294, 351847058, 439808822, 527770586?\nAnswer: 615732350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 45, -84, -213, -342?\n\"Answer: -129*v + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 2\/9, 9, 0.1, -39, -3?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-3\/4)*s*s*s**(-1\/2)*s**(-3)*s**(1\/2))\/(s**(-1\/4)\/(s*s**(2\/13)*s*s))**(-2\/57) assuming s is positive.\nAnswer: s**(-859\/988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 + 3*y**3 - 4*y**3)*(-1 - 124*y + 280*y - 130*y).\nAnswer: 52*y**4 - 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10042722*f**2 - 10042733*f**2 - 10042737*f**2 + 30128199*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*q + 12*n + 851 - 535, 0*n + 3*n = -2*q - 55 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 = -6*i + 232. Suppose 10 = 4*n - u - 0, i*u - 10 = 0. Let r(y) = y**3 - 2*y**2 - 2*y. Determine r(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 33885839?\nAnswer: -4\/33885839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36.41 - 0.29. Let u = -36.5 - a. What is the nearest to u in 5, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -18380*h - 48 - 24542*h - 2 - 1 - 13. Let u be y(-12). Round u to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -5. Let c(a) = a + 1. Let f(s) = -3*s**2 + s + 2. Suppose -18*n + 13*n = 5. Let m be 0 + -3 + n - (10 - 13). Determine m*c(x) + w*f(x).\nAnswer: -3*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c**5\/c)\/c)*c\/c**15)\/(c**(-2\/11)*c**9*c*c*c) assuming c is positive.\nAnswer: c**(-306\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-151827)\/(-156) + 30\/4*7\/70?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101*i**2 - 85*i**2 - 76*i**2 - 41*i**2)*(-2*i**2 + 7*i**2 - 2*i**2).\nAnswer: -909*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15642 + -15435. Which is the fourth smallest value? (a) -0.3 (b) -4\/3 (c) -6 (d) 3 (e) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 2*o - 30, 4*o + 0*o = 2*f - 28. Let t be (-2)\/f*-4*100. Calculate the highest common factor of t and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 11:36 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-14)*(391 + -235 + -159).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*(-6)\/4 + -1. Suppose 6556 = -f*d - 6*d. Let x = d + 1269. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h = -5*t + 320, -h + 70 = -t. Calculate the remainder when h is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -310*a**3 + 1941*a**3 + 2 + 446*a**2 + 871*a**2 wrt a?\nAnswer: 9786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1122136 > -1122144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -217*a**2 + 3*a - 3. Let c(u) = 31900*u**2 - 440*u + 440. Calculate -3*c(h) - 440*d(h).\nAnswer: -220*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/234 and 109\/234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 19 = d, -1184*x + 1180*x + 212 = 56*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, u: 10, s: 1, w: 7}. Give prob of sequence umuw.\nAnswer: 35\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/144)\/((-1)\/8). Suppose m*t**2 - 1\/3*t**3 + 0 - 1\/3*t = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 743016880?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7942 and 194218?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*h - 4. What is the tens digit of (-1 - h) + 34\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (44\/(-8) + 4)*(-3 + 7). What is the second smallest value in 5, 4, 3\/2, h?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 3*y - 2. Let c(r) = -3*r**2 + 6*r - 4. Let x(p) = -2*c(p) + 5*v(p). Let n be x(-5). Is n\/14 - 44253\/(-63) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 174862298?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i + 2 - 2)*(-461*i + 45*i - 399*i) in the form g*i + s*i**2 + v and give s.\nAnswer: -2445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o - 15. Let g be x(10). Suppose 0*d - d = -r - 7, 7 = d + g*r. Solve d = -5*y - 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**4 + 9*l**2 - 3*l - 6. Let i(f) = -f**4 - f - 1. Let h(x) = -i(x) + r(x). Find the second derivative of h(j) wrt j.\nAnswer: -12*j**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 6972?\nAnswer: 55776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) 0.3 (c) -0.2010208\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 875?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/8)*w**10*w*w\/w**11*w*(w**(-5\/2)*w)\/w assuming w is positive.\nAnswer: w**(-7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 15 + 129 = 0. Suppose 57 = -5*k - 48. Let r = -12 - k. Calculate the remainder when i is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1041, -2025, -3009, -3993?\nAnswer: -4977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2628*x**3 + 2447*x**2 wrt x?\nAnswer: 15768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-34)\/(-3)*((-102)\/12 - -10). Solve z*p - 24 = 44 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/4 of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 8*y - 8 = 0. Let u(i) = -14*i**2 - i - 1. Let a be u(-2). Is a\/(-4) - 1\/y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-140)\/1925 + 3893\/(-50380)\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -n + 16, -2*n + 3*p = p. Let c be 11 + (-8)\/(-4) - 3. Let g be (-38)\/(-95) - (-46)\/c. Put n, g, 2 in increasing order.\nAnswer: n, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.1172, 0.128, 0.1?\nAnswer: 0.128","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k - 8. Let l be v(0). Let u be (2 + 8)\/(l + 10). Suppose -5*y + 250 = -4*w + w, -3*y - u*w + 116 = 0. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7496 - -7501. Let n = 16 - 15.68. Which is the third biggest value? (a) j (b) n (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 627873?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g - 1. Let t(j) = -2*j - 2. Suppose -6*s + 167 = -31. Suppose 74*o - 63*o = -s. Calculate o*v(b) + 2*t(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjcjjccjjc. What is prob of sequence ccjj?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, p: 1, w: 4, y: 8}. Give prob of picking 2 y.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 121*d**5 + 4922*d**4 - 89634*d**2 - 14.\nAnswer: 7260*d**2 + 118128*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*g - 3*z + 4*z, -4*g - 3*z + 24 = 0. Suppose 4*j - 2*a - 287 = g*j, -4*j + 2*a + 1160 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 8:55 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/15)\/t)\/t)**(-2\/109) assuming t is positive.\nAnswer: t**(56\/1635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*m + 24 = 41*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 463\/30 + -95\/6. Let z = -238 + 236. Sort f, z, 0.8, -3 in descending order.\nAnswer: 0.8, f, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 12. Let a be (s - 2)\/((-1)\/3). Let c(x) = x**2 + 5*x + 7. What are the prime factors of c(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -150*p**4 - 457*p**4 - 359*p**4 + 2179 + 3386 - 2283*p**4 wrt p?\nAnswer: -12996*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**4\/5 + 4345264*q**3\/5 - 13035774*q**2\/5 - 8*q\/5 + 17381032\/5 = 0. Calculate q.\nAnswer: -1, 2, 2172629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*o**2 + 8*o*w + 127*w wrt o.\nAnswer: -34*o + 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1192\/1043)\/(3\/3)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/2 + 3531*v\/2 + 17705.\nAnswer: -(v - 3541)*(v + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 8 = o - 5*o, 5*o - 25 = -5*b. Suppose -b*t = 35 - 51. Solve 4*i + 5*c = 0, 0 = i + 5*c + t + 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.8 + 2. Let s = 2616.9 - 2617. What is the closest to s in 2, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 2*s - 16, -d = -s - 12*s + 48 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 11:12 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-8)\/64*0)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 260459 and 362?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14997138 divided by 7498569\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.1 + -6.1. Let d = 254.8 + -255. Which is the nearest to -0.1? (a) h (b) d (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzdbbzdzzbzzzddz. Give prob of sequence zz.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/693)\/(15\/(-9) + 5 + -4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 14446619?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 320 and 760.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**6\/360 - f**3 - 5. Let q(u) be the third derivative of d(u). Let q(a) = 0. Calculate a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -469904 divided by 10928.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1, 0.003, -4.\nAnswer: -4, 0.003, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -2. Suppose u*b = -2*k, 0*k = -2*b - k. Solve -2*t - 6 = -b*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 2953.747028\nAnswer: -2948.747028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2*b + 1160, b = 2*r - 1181 + 406. What is the greatest common factor of 325 and r?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 106*o - 1. Let s(l) = 214*l. What is 7*b(a) - 3*s(a)?\nAnswer: 100*a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25\/72 - -161\/360. Factor -a*q**2 + 1\/10*q + 0.\nAnswer: -q*(q - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28227209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3319 is divided by ((-1)\/(-14)*74)\/(105\/735).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 444742095*v**3 + 960*v**2 + 2083*v + 2.\nAnswer: 2668452570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 0, -5, 8 in decreasing order.\nAnswer: 8, 0, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1965 - -2081. Is 29 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b - b - b)*(b - 4*b + 2*b) + 1446*b**2 + 904*b**2 - 1806*b**2 to the form m + c*b**2 + g*b and give c.\nAnswer: 545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 4*q - 8. Suppose 4*m - 7*m + 21 = 0. Let f be d(m). Suppose 20*h = 21*h - f. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/6 + (-1)\/3. Let m(g) = -3*g**2 + 0 + w. Let u(y) be the second derivative of -y**3 + y + 3. What is u(m(v))?\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 3*r**2 + r. Let y be s(3). Let f = -5507 + 5492. Which is the second smallest value? (a) f (b) 1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 2. Let p be v(-6). Suppose w + w - z = 91, 4*z = -p*w + 212. Let l be (42\/(-49))\/(2\/(-14)). Calculate the greatest common factor of w and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 3*v**5\/20 - 485*v**4\/8 - 81*v**3 + 3211*v**2. Factor h(n).\nAnswer: 3*(n - 162)*(3*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1564\/322 + (-10)\/2\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 792 and 6600.\nAnswer: 19800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3*-2*sqrt(720) - 2*sqrt(720)*2))**2 - ((-3 + sqrt(720) + 3*sqrt(720) - sqrt(720))**2 + ((sqrt(720) + -3 + sqrt(720))*-4 - sqrt(720))).\nAnswer: 324*sqrt(5) + 5019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111001111 + 10110101?\nAnswer: -101100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 191.9 + -192. Let q = -3.2 + 2.7. Which is the closest to -0.1? (a) v (b) 2\/7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-15))\/p**(3\/11)*(p*p\/p**(-9))\/p**(-7) assuming p is positive.\nAnswer: p**(41\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**2 + 85*u - 257. Calculate w(25).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2. Let l(d) = 14*d. Let f(m) = -21*m. Let z(a) = 5*f(a) + 7*l(a). Calculate s(z(y)).\nAnswer: -98*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 1 - 1. Let m be (-9)\/(4 - h) - -7. Suppose 6 = -3*i + i, -5*p + 112 = -m*i. Solve p = -4*f + 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32871.6608 rounded to the nearest 100?\nAnswer: 32900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b + 3. Suppose 4*j + 17 = 5*q + 1, 0 = -3*q - 12. Let a(i) = i + 7. Let t be a(j). What is p(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 b when four letters picked without replacement from bjwjaowyoaojajjaojj?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (158\/(-154) - (-1 - 0))*-7. Let h*a**2 + 4\/11 + 6\/11*a = 0. Calculate a.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/14 and 41\/1299106.\nAnswer: 9093742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3\/8, 3097, 10, 3, 1\/20?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751981?\nAnswer: 41, 18341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/50239 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -34. Let u = 13.00000037 - g. What is u rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 133 = -227. What is the least common multiple of (5*132\/(-275))\/((-1)\/5) and q?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 62, -3.9, -2\/3?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/7 and 110\/(-28) - (-6 + 4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*f - 14 = -2*u, -12 = 4*u + 2*f. Which is the nearest to u? (a) 1\/4 (b) -0.2 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 6 = -9*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 668 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -595*y**3 + 476*y**2 - 17. Let f(b) = 99*b**3 - 79*b**2 + 3. Let d(i) = -17*f(i) - 3*w(i). What is the third derivative of d(l) wrt l?\nAnswer: 612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 86511203?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*y + 7631570, y = 2*s - s - 1526306. Suppose -5*k - 3473689 = s. What is k rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 24259?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 4 = -0*g + g, g + t = -4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(440\/12) + (-40 - 1360\/(-32)).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2826 is divided by 189.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-320)\/96*15\/(-5). Let x(t) = -10*t + 95. Give x(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1137182 and -109\/10.\nAnswer: 5685910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 17. Let o(u) = u - 8 + m - 4. Let q be o(9). Put 2, q, -2 in ascending order.\nAnswer: q, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 10. Let a be o(-12). Let q(n) = -13*n + 1. Calculate the remainder when q(a) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 2:00 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31549274 divided by 543953.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -5)\/(1 - (-6)\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2903.5.\nAnswer: 5807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00094237059 to five decimal places.\nAnswer: -0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 240 divided by 4\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 598 + 7*t - 18*t + 5*t + 4*t.\nAnswer: -2*t + 598","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + (-3*(-5*-3*sqrt(119) - sqrt(119)))\/((sqrt(1008) + (sqrt(1008) + -4*sqrt(1008) - sqrt(1008)))*-3).\nAnswer: -7*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (1 - -3) + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8010 and 2670?\nAnswer: 8010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22506331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 342519?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 2)*(-2 + 0 + 0)*(43*u + 515 - 515)*(u**2 + 0*u**2 + 0*u**2) as g*u + p + y*u**2 + r*u**3 and give r.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12775\/2 - -102297\/16. Find the common denominator of 65\/68 and r.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 11:55 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, -0.1, -4, 204 in ascending order.\nAnswer: -4, -0.1, 0.07, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.9 + 25.1. Let q = 24 - w. Suppose -2*u + 0*g - 14 = 3*g, 5*g = u - 6. Sort 5\/2, q, u, 4 in ascending order.\nAnswer: q, u, 5\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 971620776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5057 and 474191?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.3 in 2, -0.028, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 308804 and 308803 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.1 - 0.1. Let n = -2.92 + -0.08. Which is the nearest to 2\/7? (a) 0.2 (b) n (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3519.8, -0.2, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -80 - (-4 - -2)\/1. Let m = -74 - y. Calculate the lowest common multiple of m and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 66. Let b = c - -35. Suppose 9*q - 11*q + 4 = b. Calculate the greatest common divisor of 22 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24342977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 976296\/5 - 194450. Let s = 814 - c. Factor s*n**2 + 24\/5 - 44\/5*n - 4\/5*n**3.\nAnswer: -4*(n - 3)*(n - 2)*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 140 + -1437\/10. Let o = -46837\/20 - -2338. What is the common denominator of o and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -23*t**3 - 5*t**2 + 7*t + 5. Let k(l) = -11*l**3 - 3*l**2 + 4*l + 3. Let n(b) = -5*k(b) + 3*m(b). Determine n(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(54\/(-4))*(-54)\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42348507240 - 0.1.\nAnswer: 42348507239.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-485)\/1164*12\/(-10))\/((-28)\/40)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1943, 8781, 20489, 37067, 58515, 84833, 116021?\nAnswer: 152079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 9:45 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 - 34. Suppose -66 + 20 = -i + p, -140 = -3*i + p. Suppose -i = -4*u + d + 2, -d = -5*u + 60. What is the remainder when s is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 10*g**2 - 10*g - 170. Let p be k(12). Let l(y) = -22*y**2 - 10*y + 7. Let n(i) = 7*i**2 + 3*i - 2. Determine p*l(r) - 7*n(r).\nAnswer: -5*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010031 (base 7) to base 11.\nAnswer: 82237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*s**3 - 2*s**2 - 4*s**2 + 6*s**2.\nAnswer: -23*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1047.4 - -1153. Let g = m + -100.458. Round g to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 22371736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + -22. Solve -4*u - 2 = l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1291450, -1291458, -1291466, -1291474, -1291482, -1291490?\nAnswer: -1291498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.98 - 7.02. Sort o, -3, -2, 0.4.\nAnswer: o, -3, -2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 9*l**2 + 11*l - 10. Let i be z(8). What is the second derivative of -4*s**5 + i*s + 9*s - 32*s - 4*s**5 wrt s?\nAnswer: -160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 704427 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (0 - -4 - (-22 + 23))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 13*b**2 + 13*b + 6. Let q be i(-12). Suppose 0 = 2*k - 0*k + 12. Is k > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 630389162 = 50196722. Let v = w + -82648110. What is v rounded to the nearest one million?\nAnswer: 62000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 1940*c - 545139. Determine g(281).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9114 and 4116.\nAnswer: 127596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -328448 + 805026125\/2451. What is the common denominator of -43\/18 and f?\nAnswer: 14706","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 15, 0 = -p + 4*l + 6 + 25. Suppose -13*m = -2*m - p. What is the least common multiple of 79 and m?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y. Let c(j) = -3*j. Let l(d) = -5*c(d) - 4*z(d). Let q(t) be the first derivative of 0*t**2 - 5 + 0*t + 4\/3*t**3. Give l(q(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*sqrt(3) - (-5 + (sqrt(9)\/sqrt(3))**2).\nAnswer: -5*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 138 = g + 5*s, -g + 2*s = -46. Suppose 0 = -6*z - g - 20. Let x(q) = q - 2. What is x(z)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 5*r = 12, -n + 2*r = 4187 - 4197 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2629\/18 - 458\/3. Find the common denominator of -85\/2 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 13, -2\/11, 4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -432240 + -1433?\nAnswer: -434223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*u = -23, 71 = 5*n - 2*u + u. Suppose -4*w + 189 = -27. Suppose z + n = w. Calculate the highest common divisor of z and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 31. Let t be i(10). Let y(b) = -20*b + t*b - 22*b. Let p(h) = 19*h + 18. Let u(g) = -p(g) - 4*y(g). What is the derivative of u(f) wrt f?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1140 times 0.719392?\nAnswer: -820.10688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from {w: 4, x: 2, l: 1, p: 10}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2808)\/(-42) + 3 - (-1)\/7. Find the third derivative of n*k**3 + 6*k - k**2 - 18*k + 14*k wrt k.\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*y + 10. What is the greatest common factor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*l**2*p**3 + 23*l**2*p**2 - 478*l*p**3 - 2*l*p wrt l.\nAnswer: -60*p**3 + 46*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 * -4239.\nAnswer: -63585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2 - 3 - 1. Let c(j) = -j - 5. Let p(u) = 2*c(u) - 5*f(u). Let n(b) be the first derivative of b**3\/3 - 14. What is n(p(d))?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 2) + 7 + -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.021 and -528?\nAnswer: 11.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -85*j**5\/6 + 195*j**4\/2 - 560*j**3\/3 + 90*j**2 + 40*j\/3 = 0.\nAnswer: -2\/17, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 22764 (base 9) to base 5\nAnswer: 441310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.434 + 0.334. What is the nearest to u in 0.3, -2, -2\/11, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**4\/12 - f**3\/2 + 8*f**2 + 131*f + 1. Suppose 0*x + 9 = 3*x. Is m(x) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 bigger than 1022755\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/(-64))\/((-15)\/(-8))*-10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g**(-1))*g))\/g**2*(g*g\/(g*g**1\/g)*g)\/(g*g\/(g\/((g**(3\/7)\/g)\/g)))*((g**(1\/2))**(-1\/7))**(-33) assuming g is positive.\nAnswer: g**(27\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28806 divided by -9602?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 9:10 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 5*k + s, 2*s = 4*k + 5*s - 86. Solve -3*o + 6*o = -5*f - 22, 4*f + k = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 985140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12494802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -2*k + 428. Let j = k - -192. Let r = j - 33. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 6680 + 390*r**2 + 6765*r + 20166 + 0*r**3 + 20394.\nAnswer: 5*(r + 11)**2*(r + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 105*c**3 + 5*c**2 - 15*c - 4. Let q(u) = 158*u**3 + 7*u**2 - 21*u - 6. Give 5*q(g) - 7*y(g).\nAnswer: 55*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence onbe when four letters picked without replacement from eebno?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -16*t + 95*t - 95530. Calculate the remainder when 3515 is divided by t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 3\/(0 - -1). Suppose 0 = 3*p - 8*p + 275. Suppose 0 = -x*d - 2*d + p. What is the highest common factor of 99 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5 - 6*c - 17 + 0 - 8. Suppose -5*r - 204 = -9*r. Calculate the remainder when r is divided by h(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -242*a**2*c**2 - 25096*a**2*c - 3862373*a*c**2 + 9*a*c + c**2 wrt a.\nAnswer: -484*c**2 - 50192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 48\/18)*30\/(-25). Solve 2*i - 3 = 7, v + b*i = 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/7, 2\/3, -932?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(-g**3 - g**3 + 0*g**3) + 5*g**3 + 7*g - 7*g + 41*g**2 - 41*g**2 - 22*g**3.\nAnswer: -21*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v + 1. Let z be g(1). Let u be (52\/28 - z)\/((-2)\/7). Suppose b + 7 - 44 = -m, 0 = u*m - 2*b - 178. Is 21 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from qqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**4 + 18*m**3 - 97*m**2 + 144*m - 64 = 0. Calculate m.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttchththcthh. Give prob of picking 4 t.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(600)*-1).\nAnswer: -sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112044954 and 777?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 19*r**2 - 65*r - 901. Determine o(-20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*u = 244, 50*u - 54*u = 16. Calculate the remainder when 249 is divided by w.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 30 - 39 = 0. Let a(m) be the first derivative of m**3\/3 + m**2\/2 + m + 1. Let q(b) = b**3 - 4*b**2 - 3*b - 3. Determine p*a(k) - q(k).\nAnswer: -k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 - i + 1. Let o(f) = -f**3 - f**2 + 1. Let t be o(0). Determine n(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.175? (a) 1 (b) 1\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 12 = -6*w. Let b be (-3)\/(-9) + (-17)\/w. Let j(y) = b*y + 0 - 3*y - 4*y**2 - 5 + 2. Determine j(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -10. Let i(g) be the first derivative of -g**3\/3 - 3*g**2 - 5*g + 1. Let t be i(n). Solve 4*p + 0 = a + t, 4*p - 13 = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 5)*(0*p + 0*p - 2*p) - 3*p - 4*p + 6*p + 3*p + p - 2*p + (49 + 101 - 38)*(-3 - 1 + 3)*(0*p - p + 2*p)*(-1 - 1 + 3).\nAnswer: -113*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 422 - -3?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h + 101*h + 493878 = 2027691. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38\/55 - -1\/11. Suppose 0 = -w - w. Which is the closest to -1? (a) w (b) 0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, a: 1, c: 2, e: 2, t: 1, z: 1}. Give prob of sequence cit.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -n, 2*p = -0*p - 4*n + 274. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1338350 a multiple of 725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffrfrfrr. Give prob of picking 4 r.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55 (base 8) to base 10.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8c - -19?\nAnswer: a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, o: 2, p: 2, v: 2, i: 1, t: 4}. What is prob of sequence iot?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278567677.\nAnswer: 278567677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 less than or equal to -1\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 337 * 0.140038\nAnswer: 47.192806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10639.7 * 97\nAnswer: -1032050.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 5094, -55, 2, 5 in descending order.\nAnswer: 5094, 5, 2, -9, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 + 6 + -30 + -45?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.644? (a) 13 (b) 30 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 + 4*m + 4. Let g be r(-3). Let o be (-4 + 28)*g\/6. Let f be (-4)\/3 + 1 - o\/(-12). Solve -f*p = 4*k - 4, k - 27 = 5*p - 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/((-2)\/24*-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 135 - 108. Suppose -3*h + 3*g = 3, 0 = -h + 4*h + 5*g + n. Let u(s) = -2*s + 4. Let r be u(3). Sort h, r, 1 in decreasing order.\nAnswer: 1, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**5\/20 + g**4\/2 + 2*g**3\/3 + 7*g**2\/2 - g. What is the least common multiple of 12 and z(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-4)\/4 + 3. Let s = 2 - u. Suppose -12*g + 33 = 9. Solve -x = -s*x - h + 1, 4 = -4*x - g*h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -49*h**3 + 10*h + 2. Let k(m) = 47*m**3 - 11*m - 1. Let o(u) = 3*j(u) + 4*k(u). Find the second derivative of o(w) wrt w.\nAnswer: 246*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**2\/2 - 3*p - 2. Suppose -237*v + 5 = -238*v - 5*w, 0 = -3*v + 3*w + 21. What is q(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 + 22490*n - 5049285.\nAnswer: -5*(n - 4261)*(n - 237)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i**5 + 55*i**2 + 63*i**2 - 123*i**2 - 5*i + 2*i**4 wrt i.\nAnswer: 180*i**2 + 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100 - -11?\nAnswer: -110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -22506, -22724, -23012, -23406, -23942, -24656, -25584?\n\"Answer: -6*s**3 + s**2 - 179*s - 22322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3000)\/2200 - 422\/(-11)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-19)\/(-5) - 6\/(-30). Find the second derivative of s + w*s**5 + 61 - 61 wrt s.\nAnswer: 80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2603.1 + 2603. What is the fourth biggest value in 7\/18, y, 5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 14 = 3*m, 0 = 12*m - 8*m - 3*l - 4. Let o(j) = -j + 1. Determine o(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 13*s**2 + 9*s - 19. Calculate the remainder when 47 is divided by u(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 3*q + 21 = 0, -1295 + 1251 = 4*f + 4*q for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 0*o - 8 = -3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0.08, -718?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12215, -12210, -12195, -12164, -12111, -12030, -11915, -11760?\n\"Answer: n**3 - n**2 + n - 12216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 10*v + 4. Calculate p(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*g - 1320 + 332 = 114 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 4180?\nAnswer: -4185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.64, 0.4.\nAnswer: -0.2, 0.4, 0.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 6*q**2 + 7. Let g be r(8). Let v be ((-144)\/(-4))\/(21\/(-70)). Which is smaller: v or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7248.525 rounded to the nearest ten?\nAnswer: 7250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1157 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9474 by -1.\nAnswer: 9474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*r + 52, 0*r - 4*r + 2*t = -108. Calculate the smallest common multiple of 12 and r.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1361 + -1369. Put 14, -4, 5, s in ascending order.\nAnswer: s, -4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -7*k - 6. Let p(x) = 7*x + 5. Let u(t) = 3*p(t) + 2*q(t). Let r be u(-2). Let b = r - -34. Calculate the remainder when b is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1801*v + 42. Let k(s) = -1801*s - 61. Give -3*b(q) - 2*k(q).\nAnswer: -1801*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*(-252)\/2835*(-30)\/(-14).\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 54*v + 5 + 0 to p*v + s and give p.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 m when two letters picked without replacement from {r: 4, m: 16}?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 270350 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**6\/60 + f**5\/12 - f**4\/8 + 2*f**3\/3 - f**2. Let i = -220293 - -220296. Calculate d(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -57 (b) 8 (c) -1 (d) -1\/6 (e) 0.075 (f) -2 (g) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -109475\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 48165 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: Is 67527502139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(15\/(-3)))\/((60\/4)\/3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 59*z + 39 + 143*z - 299*z. List the prime factors of c(-4).\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r**2 + 4*r - 3. Let x(l) = 11*l**2 + 11*l - 8. Suppose 0*q = 3*q + 18. Let p(v) = 2*v + 4. Let t be p(q). Let a = 6 - 3. Give a*x(h) + t*g(h).\nAnswer: h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 22. Let d be (7 - a)*1*-2. Let f = 3 - d. Sort f, 4, 2 in increasing order.\nAnswer: 2, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1126, -4572, -10318, -18364, -28710, -41356, -56302?\nAnswer: -73548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1251, -2525, -3799, -5073, -6347?\nAnswer: -7621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5489 divided by -2?\nAnswer: -5489\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3649 + 72999\/20. Let u = 193031\/20 - 9648. Calculate the common denominator of u and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 6*q - 10. Suppose -5*y + 2*w = -2*w - 56, 2*y = -3*w + 4. Let k be i(y). Is (268\/k)\/((-2)\/(-6)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -2ba9c1?\nAnswer: -2ba9c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 6, -7, 1, 0 in increasing order.\nAnswer: -7, 0, 1, 6, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 o when three letters picked without replacement from {p: 2, c: 2, y: 1, x: 1, o: 2, t: 7}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19170716 is divided by 323?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -262*c**2 - 5771*c + 112. Give o(-22).\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {z: 6, b: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -3 + (-66 - -48) - (31 - 0).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 0 + 4*n - 5)*(25*n**2 - 38*n**2 + 21*n**2).\nAnswer: 32*n**3 + 16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + w = 4*g + 2, 0 = -4*g - 3*w + 19. Let c be 64364\/(-440) - (g - 1). Let a = -1498\/11 - c. Calculate the common denominator of 31\/22 and a.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2749, 2757, 2775, 2809, 2865, 2949, 3067, 3225?\nAnswer: 3429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = -0*u + 294. What is the highest common divisor of 14 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7609\/3 in 5, -2, -1\/4, -1\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 378176, 378271, 378366, 378461, 378556?\nAnswer: 378651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = o - 6, 3*h - 5*o - 885 = 0. Calculate the remainder when h is divided by 21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-4) - -2)*8. Let t be (-2)\/c + (-70)\/(-20). Suppose -55 = -5*x - 5*k, -3*x + 6*x = t*k + 9. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 19588, 19590, 19592, 19594, 19596?\n\"Answer: 2*z + 19586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) + 3*(-2 + sqrt(931))**2 - (sqrt(931) + -3 + 3)**2.\nAnswer: -77*sqrt(19) + 1874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/5 (b) 0.4 (c) -0.1 (d) 0.00221 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 7)*(a + 2*a - 4*a) + 34 + 10*a - 34)*(-3*a**2 - 4*a + 4*a).\nAnswer: -39*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, 169.9, -1\/37?\nAnswer: 169.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-9)\/3)\/1)\/(-1). Let o(r) = -39*r + 7*r**h - 4 + 39*r. Let g(l) be the first derivative of -3*l**4\/2 + 3*l - 88. What is 4*g(z) + 3*o(z)?\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5173597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -105 + (9 - (10 - 4) - (-70 - -55)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 164398387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-7) + (-122)\/14. Let x = l - -6. Let h = x - -26. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/9, 0.1353, 3\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 1. Let c(a) be the second derivative of a**2\/2 - 405*a - 1. What is 4*c(x) + 2*p(x)?\nAnswer: 2*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 5*r - 19 = -44, -5*g = -2*r + 23 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 16*f - 11. Let u be x(14). Suppose 16*l = u*l + 4. Is (-2)\/((-8)\/756) + l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 at least as big as 146\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84739826.\nAnswer: 2, 571, 74203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 903 (base 15) to base 9.\nAnswer: 2703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 572 = -128541*u + 128567*u for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/442 and 45\/68.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 11*f**3\/2 - 66839*f**2\/2 + 142698*f - 36432 = 0.\nAnswer: 3\/11, 4, 6072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -9*i**3 + 4*i**2 + i - 5. Let y(w) = -4*w**3 + 2*w**2 + w - 3. Let l(a) = -4*h(a) + 7*y(a). List the prime factors of l(2).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 161 and 35.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (84\/(-12) + 37).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3030 times -0.06\nAnswer: 181.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -65 + 19. Let y be k - -1 - (-1 - -1). Calculate the greatest common factor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-460)\/(-16) + -2)*20 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5974584223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/14*24\/(-15)*280\/224\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41\/5 - -8. Let v = 2.96 - -0.04. Which is the closest to -1? (a) x (b) 0 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 307 and -0.04.\nAnswer: -12.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -112 + 115. Let n(m) = -7*m**3 + 5*m**2 + m - 7. Let p(w) = 3*w**3 - 2*w**2 + 3. Let t(q) = 4*n(q) + 9*p(q). What is the units digit of t(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -46 - 144*d + 42 + 279*d - 138*d. Suppose 0 = z - 5. Let l(g) = -g - 2. Give z*l(a) - 3*k(a).\nAnswer: 4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r**2. Let u(j) = -51*j. What is a(u(f))?\nAnswer: -13005*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -16)\/20*15\/10.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 4*b - 28, 4*b + 13 = y - 5. Suppose 0 = -3*j, -5*s - j - 2*j = -500. What is the greatest common factor of y and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3880 divided by 1940?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1782\/324*1960\/22. Let b be 78\/8 + (-3)\/(-12). What is the greatest common divisor of c and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 573616982 - 1055455168679\/1840. Let t = g + -1\/1840. Find the common denominator of t and (147\/9)\/((-4)\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17008 is divided by 653?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.13 - -0.23. Let v = s + 1.6. Let g = 0.4 - v. What is the third biggest value in g, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15416 + -10615. What are the prime factors of k?\nAnswer: 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 26*g + 181. Let n be o(14). Suppose 0 = 8*l - n + 185. Calculate the remainder when 159 is divided by l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = -3*s + 646. Let q = s - 110. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/3)*z*z)\/z**(5\/2)*z*z**6*z**(-6\/7)\/z assuming z is positive.\nAnswer: z**(139\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wkwwmwwmwkwwpkwwwkw?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 2*z - 4. Suppose -45 = -3*h + 3*v + 2*v, 0 = -4*h - 2*v + 60. Let y be (-8)\/(-3)*h\/(-10). What is the smallest common multiple of 4 and i(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 14 = -3*a, 4*o + 3 + 1 = 3*a. Let l be a\/18*(-18)\/(-4). Suppose -l = 3*q - 32. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431638.\nAnswer: 2, 107, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -157*s*y**5 + 11523*s*y**3 - 502919*s*y - 2*s wrt y?\nAnswer: -3140*s*y**3 + 69138*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -49 (b) -1 (c) 1\/6 (d) -5 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 3:05 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (4 - 10 - (17 - 16))) + -11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -2 + 0 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight fifteenths of a hour?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 20325 + 20329 - 40659 - 196*u**2 in the form r*u**2 + h + q*u and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5 + 9 = 0. Calculate the common denominator of (p + (-502)\/8)*(-2)\/(-21) and 25\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -18*d**2. Let a(m) = 5201680*m**2. Determine a(v(q)).\nAnswer: 1685344320*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.36976559 rounded to two dps?\nAnswer: -1.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.406 + 282.594. Let d = i - 282.8. Which is the biggest value? (a) d (b) -3\/2 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 53639341?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5636\/3*88\/896. Let u = -1305\/7 + l. Find the common denominator of u and 8\/38 + (-132990)\/(-56544).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -1 + 8*o + 15*o + 11*o - 41*o. Determine s(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 49042218011272?\nAnswer: 49042218011267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.7 - 3.7. Let m = 2.00005 - k. What is m rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(45) - 5*(sqrt(45) + sqrt(45) + sqrt(45) + sqrt(180)\/sqrt(4))))**2.\nAnswer: 64980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.3415384ug?\nAnswer: 0.0000000003415384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2300114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 659*h + 59*h + 17232 = 0 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43 - 43 + 8144*l**2 + 10908*l**2 to the form t*l**2 + z*l + c and give t.\nAnswer: 19052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + x. Let n be d(0). Find the third derivative of -g**3 + n*g**2 - 2*g**2 + g**2 wrt g.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-14 + 8))\/((-3)\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6, -2, -28, -84, -182, -334?\n\"Answer: -2*a**3 + 3*a**2 - 3*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 191901467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 18*w + 1.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39841333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2835305654 to 5 dps.\nAnswer: -0.28353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-155)\/(-4))\/((-56)\/((-4480)\/100)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 418355 a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13302219*t**5 + 13805*t + 57 wrt t?\nAnswer: 266044380*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -33. Let s(w) = w + 64. What is the remainder when s(-26) is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**4\/3 - 2926*h**3\/3 + 77330*h**2\/3 - 145874*h\/3 + 23824 = 0.\nAnswer: -1489, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1171057*29\nAnswer: 33960653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-31)\/(-6) - -6*2\/(-8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/6, 19\/2, 3, -2, -11?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 157\/56 - 17\/7. Suppose f = 5*j + 21, -2*j + 2*f = f + 9. Sort 2\/11, s, j in ascending order.\nAnswer: j, 2\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 45?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/68)\/((74\/1110)\/(2\/(-5))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-56*d - 334 + 334)*(0 - 2 + 4) - 4*d + 0 + 0)*(2 - 4 + 1).\nAnswer: 116*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) + 6*sqrt(25)*-2)*-3*4)\/(2*-2*-6*sqrt(20)\/sqrt(4)).\nAnswer: 11*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29779 a multiple of 307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 44*m**3 + 5*m**2 + 5*m + 5. Let h(o) = 22*o**3 + 2*o**2 + 2*o + 2. Calculate -5*h(d) + 2*y(d).\nAnswer: -22*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -1. Suppose -5 = -5*c - h + 2*h, 4*h - 2 = -2*c. What is the tens digit of 9\/(-18) + 302\/f*c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -5*o + 4*m, -3*m = 2*o - 1 - 22. Suppose j = -5*v + o*v - 80, -2*j = 5*v - 95. Solve -n + v = 4*r, 3*r - 23 = -3*n - 2*r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g + 0*g - 4*g**2)*(-2 - 2*g**2 + 35*g**2 - 56*g**2) to x*g**2 + k*g + r + q*g**3 + n*g**4 and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/(-60) - -1997*(-1)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40 - 112 - 137*o + 11 + 14 wrt o.\nAnswer: -137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 398045?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.20581 - -4.33669. What is t rounded to 1 dp?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*l + 4*n, -15*l - 20 = -20*l + 2*n. Is 45\/28 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*k**2 - 192*k**2 - 216*k**2 - 158*k**2 - 20*k**2 + 1.\nAnswer: -628*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a hour in seconds?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 34. Suppose a - 11 = -3*r, 0*r = -2*a + v*r. Calculate the common denominator of (a\/(45\/51))\/3 and 52\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 91 = -v - 0*s, -v + 101 = -4*s. Suppose 0 = y + 453 - v. Let m = -197 - y. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/13, 70\/13, 2\/11, 0, 4\/9?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -189 equal to -201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**0)\/(u**5*u) assuming u is positive.\nAnswer: u**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4 = -4*s - 24, 2*j - 30 = 3*s. What is the highest common factor of 18 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*m**4 + m - 102*m**3 + 48*m**3 - 2*m**2 + 53*m**3 wrt m?\nAnswer: 144*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 647 - 617. Calculate the greatest common divisor of u and 408.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 6*n**2 - n - 5. Let s be a(5). Suppose s*l - 567 = 288. Calculate the remainder when l is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 4367*l - 4338*l. Factor 2 - l*b + 1\/2*b**2.\nAnswer: (b - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1180718.\nAnswer: 2, 7, 11, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1428\/(-1092))\/((-1)\/(-39))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9638170 rounded to the nearest 10000?\nAnswer: -9640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 4*g + 193. Let h be t(30). Let o = h + 833. Solve -2*k = -u - 6, -3*u - k = -o*k + 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*r = 13503, -4*u - 5*r + 27001 = -10*r. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 6*j + 12. Let r be z(5). Let p be 9\/15 - 885\/(-25). Suppose 38*s = p*s + 12. What is the highest common factor of r and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-25) + (-62)\/(-10). Suppose 3*z - 11 - r = -4*c, -3*z + 5*c - 1 = 0. Let w be 4\/z + (-528)\/(-36). Calculate the highest common divisor of w and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3969.7917 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 399895.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 v when two letters picked without replacement from {p: 9, v: 10}.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 254 - z + z - z**2 - 236 as s + w*z**2 + m*z and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -o - 63, 162 = -0*p - 5*p - o. Calculate the common denominator of 115\/6 and (-6)\/p - 6\/((-64152)\/(-1713)).\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/353 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/72)\/((-105)\/3402)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*i**4 - 2 - 2*i**2 - 5*i - 2*i + 6*i to the form q*i + p*i**4 + b + u*i**3 + r*i**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9534 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 greater than 9\/385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.5944*-21.\nAnswer: 243.4824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 7:13 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + (1*sqrt(75))**2)*3.\nAnswer: -960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*(sqrt(15)\/sqrt(3) + sqrt(5))*3)**2.\nAnswer: 9720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02346 rounded to 3 decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 180 + -124. Let k = -75 - -51. Let n be k\/(-20) - 1 - (-34)\/5. Calculate the highest common divisor of w and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - h - 1. Let l(v) = 30*v**2 - 12*v - 18. Calculate -18*d(b) + l(b).\nAnswer: 12*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8812 + -478671.666.\nAnswer: -478673.5472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1573551 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 9:31 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l + l - 2*l + (-9 + 2 - 2)*(-3*l - 13*l - l).\nAnswer: 154*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 18 - 2 = 0. What is the biggest value in 1, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**3 + 6*g**2 + 5*g - 21. Let h be ((-153)\/17)\/9 + 4. What is s(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 38*p + 4 - 72*p + 15*p**2 + 8*p**2 + 35*p. Let h(v) = -39 - 2*v**2 - 44 + 83. Determine q(h(d)).\nAnswer: -92*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s**3 + 170*s**2 + 2*s + 71. Let y be n(-34). Suppose -4*b = -y*b - 5*w + 8, -4*b + 5*w = 2. Determine g so that -1\/4*g**b + 0*g + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.17028436 rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4127 is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a century?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22*(-2)\/(-5)*85\/68?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3447086947 to the nearest integer?\nAnswer: 1511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**5\/3 - 7604*g**4 + 173439626*g**3\/3 - 146440784880*g**2 - 440074314225*g + 586457293500 = 0.\nAnswer: -4, 1, 7605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03206685416644 + 0.5?\nAnswer: 0.53206685416644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3 = -3. What is the remainder when q is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 228 + -445\/2. Let j = 250\/47 - 438547\/82438. Let p = j - 28053\/19294. Find the common denominator of s and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 - -0.75. Let s = -0.7 + n. Let b be (3\/(-33))\/((-2)\/(-4)). What is the closest to s in -2, b, 1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11950.9248 less than 70.4?\nAnswer: 12021.3248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9245002, 18490006, 27735010, 36980014, 46225018, 55470022?\n\"Answer: 9245004*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28173468 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15241\/60 - 254. Let x(v) be the third derivative of 1\/300*v**6 - 1\/150*v**5 + 0*v - 4*v**2 + 0 + 1\/15*v**3 - n*v**4. Factor x(h).\nAnswer: 2*(h - 1)**2*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21376533743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, z: 2, t: 1, m: 2, e: 7, s: 1}. Give prob of picking 1 l and 1 e.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -4. Which is the second smallest value? (a) -5 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) + (2*sqrt(240) + sqrt(240) + sqrt(240))\/sqrt(6))\/sqrt(8) - (sqrt(560)\/sqrt(7) - -2*sqrt(80)))**2.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14274\/(-427)*105\/(-90)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 245 - 258. Do r and -11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 224236140\nAnswer: 1\/56059035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -38 + 3c30?\nAnswer: 3bd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5 = o, 7 = -4*m - 3*o + 3. Let z be 0 + 0 + 1 + m. Suppose -4*p + 16 = 4*n, 3*n + n + 2*p = 8. Is z smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 6 = -2*t. Suppose 0 = -p + t + 1. Suppose -3 = -d - p*h + 3*h, 0 = h + 4. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98669, -98670, -98671, -98672, -98673, -98674?\nAnswer: -98675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2152430 - 207.6\nAnswer: -2152637.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 37 - (-2)\/(8\/12). Suppose 4*d - 6*d + s = 0. Suppose 0 = -44*n + 47*n - 57. Is n less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/(-180))\/(23\/46)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 77a7 - 204?\nAnswer: 75a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 107*r**2 + 605*r + 12. Determine u(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 118737240 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - p - 10 = 0, c - 3*p + 3 = -0*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.2560362 to three dps.\nAnswer: 7.256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -287 or -19150\/67?\nAnswer: -287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19884167 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of q**2*s**3 - 71*q**2 + 245*s**3 + s + 3 wrt q?\nAnswer: 2*q*s**3 - 142*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 54, 55, 56?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 40*f + 434. What is p(-11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9808 - -18.02405336.\nAnswer: 9826.02405336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -54, -12, 58, 156, 282, 436?\n\"Answer: 14*h**2 - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351762056.\nAnswer: 2, 43970257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 1636.\nAnswer: 11452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16803 - 16803 + 16*o.\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-34)\/(-17)*(2 - (1 - 0)). Suppose 58 - 4 = -r*m. Let h be (-2)\/(-27)*3 + (-21)\/m. Solve -w + 6 = -2*u, -w + 2 = -u - h for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 6*i + 220 = -20*q, -33 = 3*q - 0*q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i. Let z(u) be the third derivative of u**4\/6 + 24*u**2. Determine f(z(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 5356.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/10*30\/4. Let g = t - 5. Let s be (1 - (g - 0))\/(-2). Are -3\/4 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*1\/3*15. Let k(g) = 4*g - 7. Let p(s) = -5*s + 7. Let z(u) = 6*k(u) + 5*p(u). Let t be z(l). Is 2 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8623*f - 5*f**2 + 0*f**2 + 8623*f.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/15)\/t)\/t*t**(-3\/4)*t\/(((t*t\/(t*((t**(3\/2)*t*t)\/t)\/t*t))\/t)\/t)*t**7)\/((t**1*t)**41)**49 assuming t is positive.\nAnswer: t**(-240563\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 8199 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37305 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 71\/6 > 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 128 or 10110\/79?\nAnswer: 10110\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 0*w + 0*w)*(-w + 2*w - 3*w) - w**3 + 0*w**3 + 0*w**3 + 10 - 1773*w**3 + 1776*w**3 - 38.\nAnswer: 6*w**3 - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1372.5 minus 29.68266?\nAnswer: -1402.18266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/6*(1 - -2). Let m = -147.4 + 322. Let f = m + -175. Which is the closest to -1? (a) w (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1529 - -1529.1. Let j = 55784\/685 - 142\/137. Let h = -80 + j. Put 3, q, h in ascending order.\nAnswer: q, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21228*k = 21153*k + 750 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -190 - -342. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8552, -34448, -77686, -138266, -216188, -311452?\nAnswer: -424058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -1398086.\nAnswer: 11\/1398086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -3, 9095 in increasing order.\nAnswer: -3, 24, 9095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43675 or -43924?\nAnswer: -43675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 419, 835, 1251, 1667, 2083?\n\"Answer: 416*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.005 - -0.095. Which is the nearest to 1? (a) -2 (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - 504\/(-49)) + (-16)\/56. Let q be -3*1*15\/9. Sort -4, 2, d, q in ascending order.\nAnswer: q, -4, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-36 - (-3390)\/90)\/(1\/3). Solve -7*i + 6*i - 3 = -w, -15 = 3*w + b*i for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -2198, -1 in ascending order.\nAnswer: -2198, -1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28476135.\nAnswer: 3, 5, 31, 137, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + 3*d**2 - 2*d**2)*(6 + d**3 - 6) + 2*d**5 - d**5 + 0*d**4 - d**4.\nAnswer: -d**5 - d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4730, 9453, 14176, 18899, 23622?\n\"Answer: 4723*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000104283402 to 7 decimal places.\nAnswer: -0.0001043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 73\/501680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 o when four letters picked without replacement from aoaowwooboooobwb?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010010 + -1010?\nAnswer: -1011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01865218 - -6768039?\nAnswer: 6768038.98134782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1259?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.7033681 grams?\nAnswer: 703368100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6008 - 3475. What are the prime factors of l?\nAnswer: 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.067.\nAnswer: -0.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 652865.371299 - 652858.6. Let d = s + -6.77. Round d to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2 - 486*s + 102060 = 0. What is s?\nAnswer: -378, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -1428*i. Let g(x) = -2*x**2 - 54*x - 3. Let f(k) = 7*k**2 + 180*k + 10. Let m(t) = 3*f(t) + 10*g(t). Calculate a(m(u)).\nAnswer: -1428*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 8*u + 1. Let f be k(1). Let h = f - 5. Let 4\/3*j**h + 2\/3*j**3 + 0*j**2 + 2\/3*j**5 + 0*j + 0 = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 2*x + 21. Let v = 74 - 66. Calculate the remainder when x is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -10, 4, 87, -2 in decreasing order.\nAnswer: 87, 4, -1, -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*n + n + 2*n)*(2*n**2 + n**2 - 4*n**2) - n**3 + 5*n**3 + n**3)*(-3*n**2 - n**2 + 5*n**2).\nAnswer: 8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2390, -2387, -2384, -2381, -2378?\nAnswer: -2375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3231*w + 93702. What is c(29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 590675280 at least as big as 590675280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 6. Suppose 10 + 5 = 3*d. Suppose d*v = -3*z - 5, -z - 3*z - 26 = -3*v. What is the biggest value in z, 1\/4, r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -10*k - 93. Calculate f(-35).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1300305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y**2 + 1063*y + 6541. Determine i(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 33668318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, v: 2, s: 1, c: 2}. What is prob of picking 1 d and 1 v?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.22 + 10.78. Let q = x - 7. Let y = -0.1 + -0.1. What is the closest to -1 in 0, q, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6099 - -6138. Let f = -13 + 21. Let m = c - f. Solve -q + 3*n + 17 = -2, -4*q + 3*n + m = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -8) + -284 + 328 + -3\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**4 + 7*z**3 + 261*z**2 - 7*z - 260 = 0. What is z?\nAnswer: -13, -1, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x + 3. Suppose 188 = 4*l + 4*c, -3*c - 233 = -5*l - 6*c. Let a = 51 - l. Let b be ((8 - 4) + -2)*a\/2. Give t(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178202 = 3959*i + 71309 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103465661*s**4 - 178155145*s wrt s.\nAnswer: 1241587932*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/45 + (-250)\/3870?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 3\/16 (c) -0.12 (d) -0.4 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/(i\/i**(2\/13)))*i**(-9\/5) assuming i is positive.\nAnswer: i**(-62\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -292874, -292873, -292872?\n\"Answer: r - 292875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19538191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/1157 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*(-2 + sqrt(1700))**2 - ((-3 + sqrt(17)*-2)**2 - sqrt(51)\/(sqrt(3) - ((sqrt(3) - sqrt(27)\/sqrt(9)) + sqrt(3) + sqrt(3)) - sqrt(3))).\nAnswer: -8593 + 375*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-5 + -6) - (-2 + 1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**2 + 19*n - 2. Let f be l(-7). Solve -3*p - 27 = 3*b - f, -5*b + 10 = -2*p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4 + (0 + sqrt(19))**2 - (3 + (sqrt(19) - sqrt(19)*2))) + sqrt(19) + (sqrt(209)\/sqrt(539))**2 + 5*sqrt(171).\nAnswer: 803\/49 + 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -69*(-272)\/18*90\/24. Suppose -b - g = -6*b. Suppose -3*u = x - b, 7*x - 4*x = -5*u + 2358. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469406026 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 10 = -5*o, 175*r - 173*r = -5*o + 10. Let l(z) be the third derivative of 0*z**3 + 1\/6*z**4 + r*z + 0 + 17*z**2. Let t(h) = 2*h. Give l(t(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let a be -7*((-6)\/7)\/2. Let w(u) = -4*u + 12*u - 1 - 3*u**a + 2*u**3 + 0*u. Let o(i) = 2*i. Determine -9*o(g) + 2*w(g).\nAnswer: -2*g**3 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5042795.\nAnswer: 5, 17, 41, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 212550 + 5455?\nAnswer: 222445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-428)\/(-10) + -2)*32400\/(-864)*(-2)\/45\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ugq when three letters picked without replacement from {d: 1, g: 8, t: 1, q: 4, u: 6}.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10\/7 + 5\/21. Suppose -2*m + 145 + 117 = 0. Let f = -135 + m. What is the second smallest value in 3, y, f, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + d**2 - d + 1. Let b(g) = -4*g + 1 + 3*g + 1. Let u be b(0). Suppose -n + 2 = -u*n. Give k(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 - -49. Let d(q) = q + 15. Let c be d(0). What is the third derivative of 8*s**2 - c*s**2 - 3*s**6 + 9*s**b wrt s?\nAnswer: -360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9387563 to the power of 1\/3, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18434, 73666, 165718, 294590, 460282, 662794, 902126?\n\"Answer: 18410*v**2 + 2*v + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -147*o**3 + 409*o - 409*o + (-194 - 8*o**2 + 194)*(-2 + o + 2).\nAnswer: -155*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2862 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -4 - -6 - 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3 - 2*l**4 - 21*l**2 + 22*l**2 to x*l**4 + z + y*l**3 + w*l + o*l**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13699401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7\/3 - 2. Which is the closest to x? (a) -6 (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342564175 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 30*s**5 - 93*s**4 + 69*s**3 - 6*s**2 = 0.\nAnswer: 0, 1\/10, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 353*g**3 - 2*g**2 - 299*g**3 + 2*g**2.\nAnswer: 54*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d - 490 = -29*d. What is the remainder when 557 is divided by d?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilometer in millimeters?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12612 (base 14) in base 3?\nAnswer: 2021212020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1035052*t**2 + 12*t + 3999.\nAnswer: 2070104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 - -60.4. Let w = n + -4.4. Let f be ((-27)\/18)\/((-153)\/(-12)). What is the third biggest value in f, 1\/4, w, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*j + 26. Suppose 5*r = 2*g - 93, g = j*g - r - 89. Let x be (-6)\/9 + (-400)\/(-6). What is the highest common divisor of g and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-37)\/(-3) + 8\/12. Let y be 36\/24 + f\/(-2). Let p = 4.6 + -4.1. Which is the closest to 2\/3? (a) p (b) y (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1450 + 5837. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**3 + 2*b**2 + 15 - 6 - 10. What is z(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.7, -7, -5, 0.4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nny when three letters picked without replacement from {n: 2, y: 1, a: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81597 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/5*p**2 + 108\/5*p + 98 = 0. Calculate p.\nAnswer: -49, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 171*q**2 - 15*q + 1. Let v(l) = -86*l**2 + 8*l - 1. Give 9*v(h) + 5*z(h).\nAnswer: 81*h**2 - 3*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 2. Let l be i\/((-3)\/(-1467)) + -1. Round l to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from {v: 3, d: 2, q: 5, p: 1, n: 1, b: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 7*r**2 - 3*r + 115. Let d(p) = -6*p**2 - 110. Let a(x) = 8*b(x) + 9*d(x). Give a(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -696148\nAnswer: 696143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -17 + 37. Let g = 1369 + -1358. Put p, -3, g in increasing order.\nAnswer: p, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((435\/117)\/(-5) - (-10)\/15)*-3.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -12*w - 20. Let p be q(-2). Let x = 67 - p. What is the greatest common factor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -171 (base 8) to base 9.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + (-40)\/25)\/(2\/(-20)). Let s be ((-12)\/(-120))\/(p\/10). What is the second biggest value in -0.2, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 1)*(3 - 3 - r + (2 + 0 - 3)*(-2*r - 2 + 2) - 168*r + 13834 - 13832 + 687*r) in the form u*r + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 42148.\nAnswer: 547924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 25. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + 2*sqrt(216) - sqrt(6) - ((2*sqrt(726) - sqrt(726)) + sqrt(726)))\/(sqrt(75)*-1*5))**2.\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-47)\/188)\/((-2)\/(-12))*110\/(-15)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 12 = -0. Let l be 0\/c - 0 - -1. What is the greatest common factor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 4*u - 11 + 1, 0 = -5*n + 2*u + 17. Factor 99*y**n - y**2 - 200*y**3 + 4 + 95*y**3 + 24*y.\nAnswer: -(y - 2)*(y + 2)*(6*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7406 + 4419. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**2 + 0 + 3*r**2 - 4*r - 3. Let g be f(-2). Let n(q) = 13*q + 1. What is the remainder when 68 is divided by n(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in micrograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67585296?\nAnswer: 2, 3, 1408027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbprpbrbps. Give prob of picking 1 p and 2 r.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -70*g + 9756. Give z(137).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 3)*(n - 4*n - n)*(-3 + 5 + 0 + (21 + 15 + 7)*(-43 + 2 + 3)) as g + x*n and give x.\nAnswer: 6528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m. Let h(a) = -40633*a. Determine h(f(j)).\nAnswer: -81266*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(432)*-2 - sqrt(432)) + sqrt(432) + (sqrt(432) - (sqrt(432)*3 + 0 + sqrt(432))) + 0 + -4 + sqrt(432) + sqrt(432)*2 + 3)**2.\nAnswer: 144*sqrt(3) + 15553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 3 - -4 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 82, 174, 266, 358, 450?\n\"Answer: 92*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26863 + 2.\nAnswer: -26861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - 4636\/(-427)*3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -7*i - 594. Suppose 0 = -7*m + i + 242. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-363*v + 238*v + 271*v + 17)*(-2 - 6 - 4 - 3) in the form z*v + l and give l.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -536*y + 1084*y - 620 - 544*y + 62.\nAnswer: 4*y - 558","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 142?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 996052541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k + 23*k = -5*a + 3125, -4*k + 2488 = 2*a. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -8*z**2 - 12*z - 4. Let x(h) = -9*h**2 - 13*h - 4. Let o(t) = 6*n(t) - 5*x(t). Let s(l) = -l - 4*l**2 - 2*l - 2 + 3*l**2. Give 2*o(i) - 5*s(i).\nAnswer: -i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -94, -85, -58, -7, 74, 191, 350?\nAnswer: 557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6\/29, -85366.9, -2\/7?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 603749000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 8*o - 4*o)*(6 + 1 - 2) + 2*o - o + o.\nAnswer: 32*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r + 24. Let b be t(8). What is the units digit of b - (-339)\/(-1 + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4971562?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 8:20 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qyb when three letters picked without replacement from bqbsbyob.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 8:49 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 108?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 96853.08 meters in kilometers?\nAnswer: 96.85308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 76\/16 + (-1)\/(-4). Suppose -5*v + 10 = -k. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + i)*(-5 + 2 + 1) + 0*i - i + 0*i - 19*i + 17*i - 44*i)*(-3 - 2 + 0).\nAnswer: 245*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*y + 6*y + 0*y)*(-889 - 2295 - 5981 + 752 + 1673) in the form n*y + b and give n.\nAnswer: -13480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q**3 + 2*q**3 + 4*q**2 - 11*q + 6*q + 2. Give r(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 60284*y + 21. Let i(q) = q**2. Determine h(i(t)).\nAnswer: 60284*t**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3632.81955 - 3633. Let c = 22.18 - 22. Let x = c + w. Round x to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -11039512.\nAnswer: 3311853.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 8:57 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 10*k + 5. Let y = -9 + -1. Let h be x(y). Suppose -w + 62 = 4*q, -5*w = h*q - 12 - 73. Solve b = 4*b + q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/4)\/((-5)\/(-2)). Let c(m) = m**2 - 58*m - 116. Let i be c(-2). Factor 4\/5*r + 0*r**2 - w*r**3 + 0*r**i + 0 + 4\/5*r**5.\nAnswer: 4*r*(r - 1)**2*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69790361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a54378 + 3c?\nAnswer: -1a54339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15 + 107*h**2 - 6*h**2 + 17 + (5*h - 3*h + 0*h)*(-3*h + 0*h + h) + 40*h - 36*h**2 - 40*h.\nAnswer: 61*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -2011120?\nAnswer: 2011120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.503 rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 1) + -1 + -24. Let c = x + 49. Suppose s = 4*m + 1, 5*s + 2*m - c = 4*m. Calculate the highest common factor of s and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/21)\/(31\/930*10)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/6)\/(-3))\/((-945)\/(-700)*-5).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4325 - -4327. Which is the closest to y? (a) 0.064 (b) 0.3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001152805314 rounded to seven decimal places?\nAnswer: 0.0001153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/268 and -103\/12.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4102.79 and -0.3.\nAnswer: 1230.837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -137 + -4 - (-2126 + 2059)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3627 + -58081\/16. What is the common denominator of b and ((-31)\/10)\/(18\/(-5))?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*z - 20 = -75*z. Let s(i) = 6*i**2 - 6 + i**3 - 4*i**3 - 4*i**3. Let p(r) = -8*r**3 + 7*r**2 - 7. What is z*p(m) - 6*s(m)?\nAnswer: 2*m**3 - m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2027 or 500?\nAnswer: 500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5639052311?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w + 10. Let i(k) = -k + 1. Let n(q) = g(q) - 3*i(q). Let o(y) = -5*y - 6. Give -6*n(x) - 7*o(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**4 + 1824*m**3 + 3*m**2 + 47532*m.\nAnswer: -12*m**2 + 10944*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -4) + 6 + -38 + (-46 - -53).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 134385500 rounded to the nearest 100000?\nAnswer: 134400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -1. Suppose 6*a = u*a + 39. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*c + 204 = -6*c - 20*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(65) - -1*(sqrt(65) + (sqrt(65) - sqrt(65)*2) - sqrt(65)))\/(sqrt(5) - 2*sqrt(20)\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 50929291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.2 * -0.01.\nAnswer: 0.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12573 + 1?\nAnswer: 12574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-338)\/6929 + (-570)\/82?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -4*q - 5, -5*n - 19 = 2*q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 13*t - 80. Let i be h(7). What is the greatest common factor of 341 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 - -0.1. Let l = -0.22 - -0.02. Let f = -2.2 + 0.2. Sort v, l, f.\nAnswer: f, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 11*i**2 - 12*i + 8. What is t(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 2*v - 1. Calculate t(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30587 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 41568338 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.084864 days in microseconds?\nAnswer: 525732249600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4007127?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 7*b. Suppose b*y = -3*y + 48. Suppose 3*m - 9 = -p, p = -5*m + y - 1. What is the highest common divisor of m and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**5\/4 - 7*a**4\/24 + 74*a**3\/3 + 3*a**2 + 126*a. Find the first derivative of q(l) wrt l.\nAnswer: -30*l - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -150156, -600639, -1351444, -2402571?\n\"Answer: -150161*d**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 838132 and -1?\nAnswer: 838133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4419035 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(((s\/(s*s\/(s*s*s**(-2))))\/s)\/s)*s))**(6\/13)\/(((s**(-1\/5)*s)\/s*s)\/(s\/(s**(3\/2)\/s*s*s*s))) assuming s is positive.\nAnswer: s**(-669\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z - 12. Let x be j(4). What is the greatest common factor of 28 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 49 in 3\/8, -7, 0.2, 884?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**2 + 6*d + 6. What is the remainder when y(-4) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1191 = -o, -2*o = o + 12. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 d, and 2 z when four letters picked without replacement from ztptzxzdzz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1565042?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l**3 - 7*l**3 + 3*l - l - 5*l**3.\nAnswer: -4*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.09 - -19. Let h = j - 1.91. What is the nearest to h in -2\/3, -3\/7, -1\/8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24.3 + -2.3. Let r = l - 38. Let t = 17 + r. Which is the third smallest value? (a) -1 (b) 8\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 2*y - 40 = 0, 2*u - 247 = 5*y - 231 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -4*k - t + 12, 4*k + 3*t + 12 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4046250475?\nAnswer: 5, 61, 107, 137, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 0. Let g(z) = -3*z**2 + 4*z**2 + 0*z**c. Let i(m) = -8*m. What is g(i(p))?\nAnswer: 64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 691138110 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + 0*k - 4*k + (k + 0*k + k)*(-6 + 3 + 1) - 2*k - 2 + 2 + 2*k - 2*k + 2*k - 2*k - 2 + 2 + 8*k + 2 - 2.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -10*h**2 - 5*h - 6. Let l(g) = -19*g**2 - 9*g - 11. Let v(p) = 6*p - 13. Let u be v(4). Let x(i) = u*q(i) - 6*l(i). Calculate x(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2\/125 of a milligram?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 - 30*s + 17. Calculate the remainder when 218 is divided by l(15).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -330, -2, 395, 0 in increasing order.\nAnswer: -330, -4, -2, 0, 395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 + -52. Which is smaller: s or -1\/42?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 14. Let m be v(-12). Suppose -1 = -3*o + m. What is the remainder when (16\/(-12))\/o*-24 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - 2212220111210011?\nAnswer: -2212220111210101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*f**3 + 10 - 29*f**3 + 6*f**4 + 100*f**3 + f - 38*f**3 in the form m + v*f**4 + w*f**3 + q*f**2 + r*f and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16 + (-8)\/(-2))\/2. Let c(v) = -2*v - 12. Let n be c(f). Solve -u - m = -2, 5*u - m - 2*m - 10 = n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 396470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 1:05 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/146359014 and 157\/61624848.\nAnswer: 1170872112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/((-630)\/108 - (-1 + -4)). Let s(a) = 8*a - 39. Let w be s(i). Which is bigger: 12 or w?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(130)\/(sqrt(50)\/sqrt(5)))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 115 + 19 = 4*h, -68 = -3*n - h. Let y = 10 + -10. Suppose y = 4*k - 2*v - 25 - 23, -v = 0. Calculate the remainder when n is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 272 times 0.053\nAnswer: 14.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 1256\/24 - (-48)\/(-36). Solve a*o + 34 - 178 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -2. Let f = -4.24 + 0.24. What is the third biggest value in f, 3\/2, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -21*g**3 + g**2. Let m(d) = -d + 6. Let a be m(5). Let r(f) = -f**3 - f + 1. Let s be r(a). What are the prime factors of z(s)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 450 = 5*k + 590, 0 = -4*t + k + 832. What is the smallest common multiple of t and 96?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 16202.\nAnswer: 16201.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12570 - 12584.926. Let i = s + -0.174. Let v = i - -15. Which is the nearest to v? (a) -3 (b) 2\/7 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(1\/7)\/q))**0*(q*q**11)**(2\/67) assuming q is positive.\nAnswer: q**(24\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 16*r**2 + 57*r + 23. Let c be m(-11). Let o(q) be the third derivative of -q**6\/40 + q**5\/30 - q**4\/12 + q**3\/6 - 4*q**2. Determine o(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 5*c + d - 1, -2*c = 4*d - 4. Suppose 0 = -c*y + 5*y - 25. Solve y*m + 3*k = 28, 3*m = -5*k - 7 + 27 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.4, 1\/173, 0.3 in decreasing order.\nAnswer: 0.4, 0.3, 1\/173, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 55133.6 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l + 1. Let r(q) be the first derivative of -11 + q + 1\/2*q**2. Let b be 13\/(-52)*12\/(-1). Calculate b*r(j) - h(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 27 = 23. Let n = 4 + 1. Solve -k = -n*u + 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/2157 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(22) - sqrt(44)\/sqrt(2)*-1))\/(2*sqrt(10)\/(sqrt(10)\/sqrt(2))).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-3 + 8\/6). Sort g, -1, -17 in decreasing order.\nAnswer: -1, g, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 160.552 + 0.348. Let u = 161 - w. Is -2\/119 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -d - 21, d + 6 + 8 = 2*v. Solve -4*b + 15 = -v*b, k = 2*b + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q. Suppose -3*f - 2*a = -11, -f - 2 = 4*a - 19. Suppose 0*o + 3*o - 6 = 0. Suppose -o*s - 6 = s. Let l(m) = -m**2 + 2*m + 2. What is f*l(n) + s*w(n)?\nAnswer: -n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -747 and -58.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -7. Let u = n + 8. Factor -8 + 2*i + 4 + u*i - 2*i**3.\nAnswer: -2*(i - 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21802403 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/10 and -33\/20552.\nAnswer: 102760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10816 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-5) + (-4368)\/(-140). Solve 0 = 32*q - d*q - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/12)\/b)**(-49)*b\/b**20*b**(3\/10)\/b)**(-33) assuming b is positive.\nAnswer: b**(-22033\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13717601 and -0.27.\nAnswer: 13717600.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29257?\nAnswer: 17, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 3:56 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*i = 2*i + 102. Which is the third smallest value? (a) 0 (b) 4 (c) -0.09 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v - 9. Determine y(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5951981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3033982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4004 + 9074. What is t rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + s. Let q(d) = 2*d**2 - 4*d. Let y(g) = 4*l(g) + q(g). Suppose -2*k + 2*j = 3*k - 10, 0 = j. Let a(f) = 4*f + 0*f + k*f. Calculate y(a(t)).\nAnswer: -72*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 3*s - 5*n + 35, 0 = s - n + 1. Solve 0 = 4*p, 4*g - s*p = 2*p + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 2 - (53 - 38)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 4*p - 16. What are the prime factors of g(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o = -o + 35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-34)\/40 + 17\/68. Let d = 20 + -19.9. Sort x, d, 2\/3 in decreasing order.\nAnswer: 2\/3, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -49*s + 1. Suppose m + 3 = 3*y + 17, y - 5*m - 14 = 0. List the prime factors of n(y).\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2146*d - 164886 = 1026*d - 17318 + 131568 for d.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**8)\/(l**(-1\/3)\/l*l))**11*((l**(-2))**(27\/4))**0 assuming l is positive.\nAnswer: l**(308\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2181*-7.76.\nAnswer: 1.692456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -32046103 and -5.\nAnswer: -32046108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 3295ce?\nAnswer: -3295cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (156\/27)\/((-728)\/234*(-24)\/56).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/(-5))\/((-232)\/(-5104)))\/((-6)\/10)\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*a + 80274 = -45*a - 51536. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1657 + 2324. Let a = -667.1 + x. Let p be (2 + 32\/(-10))*-4. Is a less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144025 is divided by 539.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(5\/((-25)\/5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*w + 6*w + 8*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -230, -103, -1, 0 in ascending order.\nAnswer: -230, -103, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4934*r**3 - 228*r**3 + 714*r**3.\nAnswer: 5420*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, f: 3}. Give prob of sequence nf.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 6*d = -2*d + 41, 3*z - 5*d = 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.81, -1\/4, 9, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6 = 3*m. Is 424\/14 + m\/(-14) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 293535060 divided by -1820?\nAnswer: -161283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 - 0.53. What is the nearest to -1 in x, -4, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 368531.9 litres to millilitres.\nAnswer: 368531900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110320 (base 4) to base 13.\nAnswer: -7ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l**2 + 6116*l - 3060 = 0 for l.\nAnswer: -765, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48569, 47656, 46745, 45836, 44929?\nAnswer: 44024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/7 in -2\/27, -1, -18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 874 is divided by 837.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 4:52 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7445989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a microsecond in nanoseconds?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3021907l?\nAnswer: 302.1907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60 + 59.9095. Let s = u - -6.1805. What is s rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 397.\nAnswer: 5\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 24, 5, 72, 1, -5, 3 in descending order.\nAnswer: 72, 24, 5, 3, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 + 24. Suppose r*b - 69*b - 194 = 0. List the prime factors of b.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12 and 42251987.\nAnswer: -5070238.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2258 less than 2258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5408 and 169?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 39\/(-91) + (-58)\/(-70). Let n = 2\/19 - -28\/95. Factor n*a - z*a**2 + 0.\nAnswer: -2*a*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 5. Is (l - (-2 + 2)) + 29 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 7:40 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99542?\nAnswer: 2, 71, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + sqrt(300) + 3 + sqrt(300)*-2 - (sqrt(300) + 2*(sqrt(300) + 1))*-4).\nAnswer: -440*sqrt(3) - 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -75 + 83ddb?\nAnswer: 83d66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150140*q**3 + 325688*q**3 + 208163*q**3.\nAnswer: 383711*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 o when three letters picked without replacement from opnopyypop.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttl when three letters picked without replacement from {t: 2, l: 5, j: 4, u: 4}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -4 - 5 - 0\/(-76))\/(6\/(-213)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -49239\/172 or -287?\nAnswer: -49239\/172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 0*x + 0*x + (-4*x + 3*x - 9*x)*(3 - 3 - 4*x))*(16*x - 10*x - 4*x).\nAnswer: 84*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9*(-1180)\/450 + -20)\/(4\/10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5470790 bigger than 5470790?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 37*j**2 - 6*j + 4. Let u be p(-6). Suppose 22*s = 3380 + u. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2120335 (base 9) in base 4?\nAnswer: -10111023200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/((-170)\/(-10))*3\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 5:55 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**0\/f)\/(f*(f\/f**(-3))\/f*f))\/(f**(-6)\/f**(-2)))\/((f**(2\/11)\/f**(2\/7))\/(((f*f**(-4))\/f)\/f*f**5\/f)) assuming f is positive.\nAnswer: f**(-223\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 93.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2112)*-2 - sqrt(2112))\/((-2*sqrt(36) - sqrt(36))\/sqrt(12)).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -800*s - 8417. Determine n(-11).\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millennium in months?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -106 divided by 53\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17595738?\nAnswer: 2, 3, 499, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22.4 - -22. Let y = -2.8 + 3. Which is the closest to -1? (a) k (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 7*q**2 - 5*q + 6. Let h be z(6). Suppose -340 = -11*u - 9195. Let g = u - -809. Solve h = -k - 4*d, 3*k - 2*d + g = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 17 = 3*r, 2*r + 2*x - 6 = 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-3\/5)))\/(z*z**(3\/8)))**(-1\/46)*(z\/(z*z*z*z**(-3\/4)\/z*z*z*z)*z**(2\/7)\/z)\/(z\/z**(4\/7)*z**4) assuming z is positive.\nAnswer: z**(-107883\/12880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(2*sqrt(864)))**2.\nAnswer: 7\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 526078 and 770196?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 332208330 - 332208329.9639001077. Let y = -0.0361 + a. What is y rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 9) in base 13?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1480783 (base 9) to base 3\nAnswer: 1112200212210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 17*t**2 + 3*t + 4. Let a(j) = -j**2 - 3*j - 1. Let k be a(0). Let o be s(k). What is the highest common divisor of 90 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11130130 + -314243?\nAnswer: -11444423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18653 divided by -220.\nAnswer: -18653\/220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 20279, 53168, 86057?\n\"Answer: 32889*t - 12610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -12*m - 12. Let y(k) = 22*k + 25. Let i(w) = 7*j(w) + 4*y(w). Give i(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 1)\/(53\/(-106)). Does 57 divide (66\/18 - 7)\/(g\/(-189))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 798 less than or equal to 798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*h = 0. Let v = 5 - h. What is the greatest common divisor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 183, 407, 745, 1215, 1835, 2623?\nAnswer: 3597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 40. What is the least common multiple of 24 and o?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 7 (c) -0.5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 21\/53 (b) 3\/11 (c) 5 (d) 11\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 62, 3, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(-2 + 307200016\/(-12)). Let f = -35 + 40. Suppose d + 59284377 + 17515625 = -3*t, l = -3*t - f*d. What is t rounded to the nearest 1000000?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -228+1679818572\nAnswer: 1679818344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(3\/(-75)*-5). Let a be ((-28)\/(-2))\/(-1 - -3). Solve -3*f + 4*r - 16 = -a*f, 0 = -t*f - r + 24 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, o: 7}. Give prob of sequence ou.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5595592 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -3603 + 3607. Which is the second smallest value? (a) -0.4 (b) -12 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4 = 5*s, -5*s + 0*b - 1 = 3*b. What are the prime factors of (-4)\/(-12)*291 - s\/(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -7*f + 3*f - 25, -25 = -4*f + 5*w. Solve -5*k + 4*v = f, -3*k - v - v - 22 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53311.\nAnswer: 89, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 531 from -836.\nAnswer: -1367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -119 - -110. Let n(h) = h**3 + 9*h**2 - 7*h + 3. Is 11 a factor of n(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -694*j**2 - 12*j + 112. Let p = -284 + 328. Let b be m(p). What is b rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/181241014 and -75\/16?\nAnswer: 1449928112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/7)*n)**(-3\/5)*(n**(4\/7))**(-4))**47 assuming n is positive.\nAnswer: n**(-4888\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-22)\/(-44))\/((-2)\/(-60)) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 4*z + 14, -3*z = -6*z + 6. Solve -g + 12 = f*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n**2 - n - 7. Suppose 0 = 5*w + 32 - 97. Let m(s) = -9*s**2 - 2*s - 15. Suppose 4*y - 20 = 0, -y + 22 + 1 = -3*i. Determine i*m(c) + w*l(c).\nAnswer: 2*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyy. Give prob of sequence yy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(-14)*(-304417)\/(-11). Let h = 13834 + v. Calculate the common denominator of (-31)\/(2*(0 - 1)) and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53124026 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/42*((-123)\/(-328))\/((-6)\/(-192))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 9*g**2 + 124*g - 1648. Give o(11).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 3*a + 2*m - 2, -5*a = -5*m + 5. Suppose -5*t + t + 116 = a. What are the prime factors of t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1821 - 5385 = -11*m. Suppose -29*k - m = -33*k. Does 27 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (87\/(46371\/41))\/(2\/4).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 792*r**2 - 26620 - 112*r**3 + 1257*r + 99174*r**4 + 679*r - 99170*r**4 = 0. Calculate r.\nAnswer: -5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(2\/17)*a))**4)**(2\/47) assuming a is positive.\nAnswer: a**(-152\/799)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 339\/6 + (-6)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -1\/30*x**3 - 168 + 3\/2*x**2 + 31\/10*x. Let r(c) = 0. What is c?\nAnswer: -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2518110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1532 + -1527. Which is the second smallest value? (a) v (b) -0.2 (c) 23\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)\/((sqrt(33) - sqrt(297) - sqrt(33))\/sqrt(3)))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6326132 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.05 (c) 0.5 (d) 0.64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azzfaazzzaazaz. What is prob of sequence zz?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*n = 12, -5*p + 70*n - 66*n = 12. Solve x + 9 - 6 = p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7) - 880\/140. Let l be 3\/s + 1\/(-4). Which is the nearest to 2\/9? (a) -3\/2 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -1\/3*r**3 + 101*r + 0 + 0*r**2. What is k(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 74, 3 in ascending order.\nAnswer: 3, 8, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 212222210001 (base 3) to base 13\nAnswer: 136c36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 284.1684 to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20137?\nAnswer: 13, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21803*w**2 - 15585*w**2 + 9404*w**2.\nAnswer: -27984*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 - 8*o + 9. Let l be v(7). Let r = l + 70. What is the remainder when r is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 36*m**2 - 2094*m + 353. Give b(58).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 812227 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((529\/184)\/(4\/32))\/(1\/1).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k**2 + k. Let l(x) = -10*x**2 + x - 3. Let m(b) = -11*b**2 + 2*b - 4. Let w(y) = -4*l(y) + 3*m(y). Give -5*f(p) + 4*w(p).\nAnswer: -2*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17834, -35669, -53504?\n\"Answer: -17835*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 12 = -6*f, f - 2*f - 6 = 3*f - 2 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 4*z**2 - 5*z - 3. Let a be i(-3). What is the second derivative of -8*f**4 + 5*f**4 + f + f**3 - f**a wrt f?\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**3\/3 + 3*t**2\/2 - 4*t - 2. Let s be y(-6). Suppose 0*u + 3*p = -u + s, 0 = 2*u + 5*p - 25. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32d (base 15) to base 14.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2660299, 2660330, 2660381, 2660452, 2660543, 2660654?\n\"Answer: 10*u**2 + u + 2660288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 11*m + 1. Let s be g(-2). Suppose -5*v - t + 203 = -360, -t = -3. Let k = s + v. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(6\/13)\/t**9)\/(t**(-3\/14))**(-43) assuming t is positive.\nAnswer: t**(-3231\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49 - 32 - (0 + 38)) + -4 + 1.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 128*c - 47*c**3 - 3 + 2*c**2 - 1 - 31*c**3 + 75*c**3 + 1 in the form b*c**2 + u*c + i + s*c**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3*3\/18)\/((-5)\/(-18)*-3))\/(-6)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - (-124 + 4 + -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**4\/4 - 5*f**3\/3 - 3*f**2\/2 + 8*f - 22. Let z be s(4). Let t = 94 - z. List the prime factors of t.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 8*j + 10. Let g be q(-9). Put g, 4, -5 in increasing order.\nAnswer: -5, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 - 3*g**2 + 5*g - 5. Let r(k) = -47*k**2 - 4*k - 48*k**2 - 2*k**3 + 97*k**2 + 4. Give -5*r(l) - 4*x(l).\nAnswer: 2*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**5\/60 - 5*l**4\/8 - 17*l**3\/6 - 13*l**2\/2 - 9*l. Let p(o) be the first derivative of k(o). Is p(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1232 and -0.2.\nAnswer: -246.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n - 2*n - 3*n - 2*n + 3 - 3 + n + n - n + (n + 3*n - 2*n)*(4 - 1 - 1) - 5*n - 5*n + 0*n + 2*n - 3*n - n in the form h*n + q and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -164*d - 1142. Let h be p(-7). Let s(q) = 4. Let b(t) = t. What is h*b(z) - s(z)?\nAnswer: 6*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 315555\/61047 - 4 - 4\/(-18). Let g = -12\/2261 + x. What is the common denominator of g and 105\/152?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2510089570 to the nearest integer?\nAnswer: 50101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -920*j**3 + 13080*j**2*t - 25*j*t + 7608*j - 22*t wrt j.\nAnswer: -5520*j + 26160*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 + 5*s**4 - 2*s**4)*(-1 - s + 1) + 632*s**5 + 0 - 2*s**3 + 4*s**2 - 648*s**5 - 1.\nAnswer: -18*s**5 - 2*s**3 + 4*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + (sqrt(72) - (sqrt(72) + 1))*-2 + (sqrt(72) + 0 + -4)**2.\nAnswer: -42*sqrt(2) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 74332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 2 = -o - 5, 5*o - 25 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*d + w, 3*w + 9 = -0*d + d. Let q(r) = r**2 - 2*r - 3. Let k be q(-2). Solve 0 = d*t + k + 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + 19. What is the greatest common factor of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260284*b - 275273*b - 84039*b + 135446*b.\nAnswer: -484150*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eighteen fifths of a second?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-4)*10\/5. Suppose j*d - 25 + 5 = 0. Let k be ((-292)\/365)\/((-8)\/(-10) + -1). What is the highest common divisor of k and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5874.28 days in milliseconds?\nAnswer: 507537792000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/9*(1428\/8)\/17. Let z(n) = 2*n + 10. Let k(p) = 1. Let f(r) = -3*k(r) + z(r). What is the tens digit of f(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1375 is divided by 680?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/3*-11 + (-7965)\/(-2065))\/(8\/112)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 q, and 1 k when three letters picked without replacement from kubuuvuqbk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q - 7*q = -10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (10 - (20 + -9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 8:48 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 93, 92, 91, 90, 89, 88?\n\"Answer: -x + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 18*r. Let m(v) be the first derivative of v**2 - 7. Calculate m(i(g)).\nAnswer: 36*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 8. Solve -7*p - 12 = -4*w - 3*p, m*w - 7 = p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/5)\/(q*q**(-1\/2)\/q)*(q*q**(1\/2)*q)\/(q\/q**(1\/4)*q*q))**(-6) assuming q is positive.\nAnswer: q**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1969 divide 1797697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3742302154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**28\/(b*b**(5\/2)\/b) assuming b is positive.\nAnswer: b**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*g - 40*g + 75*g + 1 - 1.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**2. Let i(f) = 10*f**2 - 1. Determine -7*c(b) + 2*i(b).\nAnswer: -b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 - 166*i + 45*i + 673*i.\nAnswer: 552*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -1. Let d(y) = -3*y**3. Let s(u) = u**3 + u**2. Let k(x) = h*d(x) - 2*s(x). Find the third derivative of k(i) wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*y = 4392760, -2*y - 1276185 - 3116567 = -3*x. Suppose 12 = -k + 18. Suppose -2435752 = k*f + x. What is f rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of 1\/4*l**5 + 0*l**4 - 5\/2*l**3 + 0 + 4*l**2 + 0*l. What is the first derivative of h(y) wrt y?\nAnswer: 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -200, 43, 2, -6 in descending order.\nAnswer: 43, 2, -6, -45, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -575*m**6\/24 + m**5\/30 + 17*m**4\/8 - m**3\/2 + 7*m**2 + 3*m + 3. Find the third derivative of f(b) wrt b.\nAnswer: -17250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 287\/42 + -6 - (-2)\/12. Suppose 7*w + p = 2*a + 2*w, 0 = 2*a - 3*w - 3. Solve 0*k = -a*k - 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3377907 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - j + 0*j)*(4*j - 2*j**4 - 4*j) + (-3*j**4 + 4*j**4 - 2*j**4)*(2*j + j - j) + 3*j - 3*j - j**5.\nAnswer: -13*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21581791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 70 = -17*l - 125, l - 5*m + 23 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 23*t**2 + 26*t + 9. What are the prime factors of l(-14)?\nAnswer: 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + l - 3*c - 876, -4*l + 1164 = -3*c. What is the greatest common factor of 18 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 - y**3 + 5*y**3)*(3 - 2 + 0)*(0 - 5 + 3).\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 12 = 0, 4*h = -5*y - 0*h + 24. Suppose 0 = -3*f + y - 5. Let u be (4\/8)\/(f\/440). What is the greatest common factor of u and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 443248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 3. Let m be d(-6). Factor -i**2 - m + 4 - 2*i - 2 + 0*i**2.\nAnswer: -(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -15*g - 3575, 4*h + 5*g + 1432 = 2*h. Is -1441\/2 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 5 + 5, -4*i = -2*h - 14. Solve -i - 1 = -2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-24)*(-16680)\/139.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 3*q + 36489 = 36448, c - 2*q = -32 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11392810, -22785618, -34178426?\n\"Answer: -11392808*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 224.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4410118 is divided by 244996?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 9:56 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2 - 57\/(-51)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + -2 + (4 - 3). Let z = -371 - -306. Which is the closest to h? (a) 2 (b) z (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 7:18 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/6 + 7*t**2\/3 - 17*t\/6 - 5.\nAnswer: (t - 2)*(t + 1)*(t + 15)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 5 (b) -0.4 (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + f + 4*o + 24, -3*f - o = 15. Let p be 0 - 0 - 1\/f. Which is the second biggest value? (a) -1\/4 (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 4:36 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -234*s**2 - 241*s**2 + 92*s**2 + 44*s**2. Let i(g) = -g**2. What is p(i(h))?\nAnswer: -339*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 0 - (11 - ((5 - -4) + (9 - 12))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/111 and -29\/162759.\nAnswer: 6022083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 20 = -13*l. Suppose l*m - m = 5*g - 157, 2*m = -g + 37. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21417900 and 1529850?\nAnswer: 21417900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532341331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 6, -4, -118 in descending order.\nAnswer: 6, 5, -3, -4, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(936)*2 + sqrt(26) - (sqrt(104)*-3 - sqrt(104)))\/(-3*(1*sqrt(50) - sqrt(50) - sqrt(50) - sqrt(2))*2).\nAnswer: 7*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i**13))\/i)\/i**(-12))**(-6\/7) assuming i is positive.\nAnswer: i**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -8 + 4 + 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 - 147. Let b be (101 + 0)\/1 + r\/37. Let m = 26 + b. Is 34 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7*g**2 - 4*g + 7. Let a be c(-3). Suppose -221*w = -242*w - 945. Do a and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4586, 4587, 4588?\nAnswer: 4589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from 82780634397791.\nAnswer: 82780634397793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 783558 divided by -130593.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + f - 6. Solve 10 = 3*n - f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -76 - 108. Let v = u - -158. What are the prime factors of v?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 13410.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -1. Differentiate -v - 204*a**2 + 204*a**2 - 12*a**3 with respect to a.\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 1 - 5. Suppose -5*m - 2*z - z = 2, -2*m + 4*z = j. Let q(s) be the second derivative of -s**5\/20 + 30*s. What is q(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15180 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 - 3. Let s(z) = -61*z**2 - 1 + 29*z**2 + z + 31*z**2. What is -i(y) + 3*s(y)?\nAnswer: -y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 11:26 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1291 = 17*x + 5*v + 1272, -4*x - 7 = 5*v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**4. Let p(d) = -19*d**4 + d. Let k(c) = 6*p(c) - 34*z(c). What is the second derivative of k(j) wrt j?\nAnswer: -144*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 77*p + 91. Let g(q) = 231*q + 285. Calculate 19*d(u) - 6*g(u).\nAnswer: 77*u + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2714146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*6\/9*((385\/(-15))\/7 + 3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a day in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 224921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(14\/(-10) - -1). Let z = l + -10. Solve 3 = -z*y - y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 9:19 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 73*p - 12332. Determine n(169).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 3 = 27. Solve -z + d*o = z - 4, 3*o + 10 = 5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivv when three letters picked without replacement from vwiviibbvvvvviwiww.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 312690000 to the nearest one million.\nAnswer: 313000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 6309 and 6347 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a tonne in kilograms?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -63, 0.1, -7\/4, 582, 1?\nAnswer: 582","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7*6\/(-63)*3. Let k be (1\/x)\/(3\/42 + 0). Solve -1 = 2*l + k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 171325 and 59543225?\nAnswer: 654975475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 82003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 51, 197, 485, 963, 1679?\nAnswer: 2681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101001010011 - -1010100011001100?\nAnswer: 101111001111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -106 - -100. Let r = 61 - 67.2. Let d = m - r. Is 1 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-55)\/10)\/((-2)\/4). Let j = 0 + t. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016193571 to four decimal places.\nAnswer: 0.0162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -256597, -3, -5, -1, 71 in decreasing order.\nAnswer: 71, -1, -3, -5, -256597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/449, 2\/15, 0.3, -1\/2 in descending order.\nAnswer: 0.3, 2\/15, -1\/449, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 113*c**3*n**3 - 3*c**3*n - 2*c*n**3 + 13*c*n**2 + 3*n**2 wrt n?\nAnswer: 678*c**3 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -204 - -369. Suppose 218*h - 14714 - 1859 = 5009. What is the highest common factor of h and s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5 + 3 + 2 + 79*l**2 - 66*l**2 - 5*l**2 - 3*l**3 - 4*l. Let s(h) = -h**3 + h**2 - h. Let r(d) = 3*d + 2. Let w be r(-2). Determine w*s(g) + j(g).\nAnswer: g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -986 - -994. Let z be (k\/20)\/(3\/45). Let y(a) = 10*a. Let c be (-1166)\/18 + (-2)\/9. Let n(m) = m. Give c*n(q) + z*y(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25608 is divided by 130.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 2*q - 2*q - 2*x + 23 = 0, 4*q = 288*x - 1172 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 54*q**2. Let l(n) = -3*n. Give y(l(j)).\nAnswer: 486*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2290 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341*a - 89*a = -141*a - 777 - 1581 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9, -7, -19, -51, -109, -199, -327?\n\"Answer: -i**3 - i**2 + 12*i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3\/9 + 3572*w**2\/9 + 7150*w\/9 + 1192\/3 = 0.\nAnswer: -1, 1788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -136903 * -0.3\nAnswer: 41070.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.77905 and 6.\nAnswer: 22.6743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13838008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*g**2 + 2*g**3 - 31*g**2 + g**4 + g + 7*g**4 in the form t + x*g**2 + k*g**3 + v*g + u*g**4 and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -353.2 + 353.1. Let f = 5 + 0. Let p = -14.4 - -12.4. Which is the closest to q? (a) 17 (b) p (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5\/4 - 7*w**4\/4 + 2*w**3 + 4*w**2.\nAnswer: w**2*(w - 4)**2*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + 37. Suppose -5*z + 491 = 2*a, -z + 5*a + 23 = -j. Is (1 - (-3 + 4)) + z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130005602.\nAnswer: 2, 137, 617, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**6\/120 - 23*g**5\/60 - 25*g**4\/12 + g**3\/6 - 149*g**2. Let p be x(25). Solve 0 = -0*k + k - d + p, -4*k - d = -11 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2\/2 - 324235*z + 648480.\nAnswer: -5*(z - 2)*(z + 129696)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 + 50 = 5*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/2220 and -133\/192.\nAnswer: 35520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1*1)\/(311\/(-155) + 2).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5919 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3440?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.257 (b) 0.56 (c) 2\/11 (d) 38 (e) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 + 9*g + 9. Let h(t) = 3*t**2 - 17*t - 18. Let a(i) = -3*h(i) - 5*l(i). Calculate a(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 570 in -0.4, 0.1, 0.5, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 at most 95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 295 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18.7 + 20. Let l = -191694 - -2492028\/13. Which is the third smallest value? (a) 1\/6 (b) h (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222942 divided by 1527\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 5*a - 4. Let s(j) = -j**3 - 16*j**2 - j - 16. Let p be s(-16). Suppose -2*m + 6*m - 20 = p. Give r(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of ((-21)\/(-7))\/(6*2\/304)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 9*x + 2. Suppose 332 - 317 = 3*w. Let n(a) = -a**2 - 5*a - 1. Calculate w*n(f) + 3*i(f).\nAnswer: -2*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65515, -65512, -65509, -65506?\nAnswer: -65503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -131252 or -2200?\nAnswer: -2200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y**2 + 105*y - 437. Determine a(36).\nAnswer: -1841","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 81763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-2)\/(-5)) - 0. Let p = m - -3. Does 2 divide 3 + (1 - (p + 1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 16*z**2 - 2*z**2 - 4*z**3 - z - 9*z**2 - 4*z**2. Let y(d) = -5*d**3 + 2*d**2 - d. Determine -4*i(x) + 3*y(x).\nAnswer: x**3 + 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (10 - ((-5 - -2) + -3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -3 + 2*sqrt(153) - (-1*sqrt(153)*1 + 1))*-4 + 4)**2.\nAnswer: -2592*sqrt(17) + 23328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q**9)*q**(-8)*(q\/q**(1\/5))**(-2\/87) assuming q is positive.\nAnswer: q**(-7403\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23331\/38065 + -7\/1655. Solve -20\/23 - k*y - 2\/23*y**2 = 0 for y.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*a - 13*a + 3. Find z, given that -z**4 + 25*z**3 - 26*z**3 - 2*z**2 + z + a*z**2 + 0*z**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 619 + 2876 = 5*j. List the prime factors of j.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 10 + 0 = 0. Solve -p*m = -5*m + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/sqrt(20))\/(sqrt(21)\/(1*sqrt(7))))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (1 + 5 + -5 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 4) + -3 + -1351 + 1380?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -1621*l**4 + 4*l**3\/3 - 923*l**2\/2 + 12118. Find the third derivative of h(u) wrt u.\nAnswer: -38904","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -16\/3, -4, -6.47, -1 in descending order.\nAnswer: 2, -1, -4, -16\/3, -6.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1420.909187 - 0.164913. Let t = r + 1421. Round t to three dps.\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ucucuuuucuckuaguuu. What is prob of picking 1 c, 1 a, and 1 k?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - (sqrt(192) + sqrt(192)*-4*-4))*-4)**2.\nAnswer: 786432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20.35 - -20.3499067. What is w rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0 = -9. Suppose -q*s = s. Suppose -30*f - 10 = -35*f. Sort -4, s, f in decreasing order.\nAnswer: f, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 10*d**2 - 2*d + 1. Calculate w(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from fllxllxxlxflfxfxl?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -54*b + 171 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**6*j)\/(j\/((j**5*j*j*j)\/j))*j*j*j\/(j**(-1\/3)*j*j)*j*j**(2\/5) assuming j is positive.\nAnswer: j**(251\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 215617463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 198 - 54. Let l = a + -142.74. What is l rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2570*g - 25584. Determine x(10).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 6 (b) -11 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millisecond in microseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -2\/33, 88\/25, -0.2.\nAnswer: -0.2, -2\/33, 3\/8, 88\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74094*q**3 - 92320*q.\nAnswer: -444564*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1368 - -20513\/15. Which is greater: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120\/331 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 4*x + 19, 2*q + 2*x = -3*x + 11. Which is smaller: 15\/4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f**2 - 46*f - 361. What is y(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 7:00 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*k - 6, -4*k = 4*x. Suppose x*n = 13 + 27. Let s be n\/(-5)*(-20)\/8. Solve -5*b - 3*f + 20 = -4*f, s*b - 25 = -f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*t + 50171 + 268122 + 78390. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6659*y**2 - 6659*y**2 - 2*y**3 + y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**3 + 8*c**2 + 17*c - 9. Let v(g) = 5*g**3 + 12*g**2 + 26*g - 14. Let s(u) = -8*r(u) + 5*v(u). Is s(6) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/17866233 and 6\/180467?\nAnswer: 17866233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 10:28 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 800*y.\nAnswer: 4*y*(y - 200)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 - (24 - 41) - -3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 370187 and 1161?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 48, 78, 108, 138, 168?\n\"Answer: 30*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 2.94, 2737 in decreasing order.\nAnswer: 2737, 2.94, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5124 and 546.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.553508 litres?\nAnswer: 1553.508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, q: 2, c: 3, o: 8}. Give prob of sequence ooq.\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2519351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*r = -2*l - 1, -l = 5*r + 28. Let o be (3\/(-2))\/(l\/8). Suppose -9 = -5*x - 4. Solve -x = -o*z + 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 24204, 48524, 72834, 97134?\n\"Answer: -5*i**2 + 24335*i - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m*(m\/(m\/(m*m*m*m*m*m*m*m\/(m*m**(1\/3))*m*m*m)*m))\/m*m)\/m)**(-2))**(-27))**50)**24 assuming m is positive.\nAnswer: m**561600","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**3\/2 + 13397*v**2\/2 + v\/2 - 13397\/2 = 0.\nAnswer: -1, 1, 13397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*k + 4*b - 269, 5*b = -15. Let s = 105 + k. Suppose 5*y = g + s, 0*y - g + 19 = 3*y. Sort y, -1\/5, 0.2.\nAnswer: -1\/5, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*n + 31*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52b37 (base 14) to base 16.\nAnswer: -30c5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 4:37 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63 by 9593.\nAnswer: 63\/9593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**5\/60 + 11*l**4\/24 + 5*l**3 + 2045*l**2. Calculate n(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c**3 - 2*c**2 - 2*c + 15. Let l(w) = -w**3 - 7*w**2 - 10*w + 3. Let m be l(-5). List the prime factors of x(m).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -528*d**3 - 833*d**3 + 1379*d**3.\nAnswer: 18*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-16\/3)\/d*d*d*d**7)\/(d**(-3\/5)*d)**(6\/5) assuming d is positive.\nAnswer: d**(164\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 261043\/3311980 + -127\/24234. Find the common denominator of z and 109\/10.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 808 - 803. Solve -q - 2*r = -u, -2*r = -q - r - 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 710 a factor of 3346230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -36 - 24. Suppose -6*l + l + d = 0. Is 15 a factor of -30*(27\/(-6) + l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -7*i + 9. Calculate x(6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 9:13 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 1:33 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -7*c - 35. Which is smaller: c or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40)\/(-14) - 69\/322*4. Factor 3\/7*c**4 - 9\/7*c**y + 6\/7 + 3\/7*c**3 - 3\/7*c.\nAnswer: 3*(c - 1)**2*(c + 1)*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdppqpddqpddddpdd. Give prob of sequence pq.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-11\/3))\/(d**(1\/19)\/d) assuming d is positive.\nAnswer: d**(-98\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - h - 2)*(-5 + 3 + 1) + 3*h - 3*h - 2*h + (-h + 0 + 0)*(1 + 2 - 2))*(-5 - 5 - 3) to the form y + b*h and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -4154474 greater than or equal to -4154476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11905 - 30*h + 11909 - 23812.\nAnswer: -30*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7463361, -7463359, -7463357, -7463355?\n\"Answer: 2*h - 7463363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a = -33007 + 453637 + 53347. What is the ten thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*y - 4*y + 0*y)*(0 - 6 + 5)*(3 + 3 - 4)*(136*y + 133*y - 173*y) + (0*y - 4*y + 5*y)*(-3*y + 3*y + y) to k + p*y**2 + q*y and give p.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 53? (a) -3 (b) -3\/25 (c) 32272\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 + s + 0*s**2 - 3*s**2 + 4*s**2 - 1. Let o be 78\/104*12\/9. Let i(y) = -y**3 + 8*y**2 - 4*y + 6. What is o*i(m) + 6*q(m)?\nAnswer: -m**3 + 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 4*s**2 + 12*s - 3. Let b = 277 + -271. Calculate a(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1037 or 1038?\nAnswer: 1037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -4.3. Let x = 37 + -36. Put 4, 3, l, x in decreasing order.\nAnswer: 4, 3, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b = 22 + 22. Suppose 4*o = 2*a + 42, -9*o - b*a - 16 = -11*o. Solve -6*j - 43 = -o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.871998 + -0.7781. Let t = 0.015 - -0.079. Let f = z - t. Round f to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - (0 - 1)) + 2. Let f = -2 - -7. Suppose 16 + 10 = f*r - 2*x, 3*x = -3*r + 3. Solve -3*y + s = r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*11 - 560\/(-182)*1144\/110.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 24 = 30 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.091068l?\nAnswer: 91.068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 28, 140, 432, 994, 1916, 3288?\n\"Answer: 15*b**3 + 7*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 13*v**2 - 55*v - 9. Let q be b(-3). Solve 90 = q*o + 6 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104763239 to the power of 1\/2, to the nearest integer?\nAnswer: 10235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 2131, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2293*h - 2287*h + 4583*h + 0.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*i - 2. Suppose -o + 4*o + 110 = 4*r, -74 = -3*r - i*o. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 337 by -6.\nAnswer: -337\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (z + 4*z - 3*z)*(-1 + 1 + z) + 0*z**2 + 2*z**2 + 0*z**2 + (35 - 74 + 3*z + 42)*(2*z - 2*z + z) as a*z + c*z**2 + r and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1054.6 + -1258. What is h rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 328 - 353. Suppose 4*j - 1 = -9. Is 28 a factor of (10\/n)\/j - (-139)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) - (sqrt(1700) + 0)) + 5 - (-1 + sqrt(153))**2*-3.\nAnswer: -18*sqrt(17) + 467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 227. Let s(c) = 17*c**2 - 39. What is i(s(t))?\nAnswer: -17*t**2 + 266","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/47, -0.3, 6, 22, -11?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5146\/15141 - -52\/147. Let x = m + 39415\/17304. Calculate the common denominator of -10\/63 and x.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210914.\nAnswer: 2, 11, 9587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/8 and 2\/(-5) + (1398257\/122430 - 4) + -7.\nAnswer: 13992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10472, -20969, -31488, -42029, -52592, -63177?\n\"Answer: -11*b**2 - 10464*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r + 2 + 10*r + 4*r to the form z + m*r and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -802, -806, -808, -808, -806?\n\"Answer: t**2 - 7*t - 796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 124 + -12223?\nAnswer: -12055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -1110110110100010111000?\nAnswer: 1110110110100010110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-34)\/8*32\/(-4). Calculate the highest common divisor of p and 3553.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(11*(-14)\/(-69454)). Calculate the greatest common factor of g and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -57e + -3?\nAnswer: -582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 2*k - 12 - 17, k = -5*p + 18 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -2*m**7\/147 + m**6\/21 + 3*m**5\/35 - 4*m**4\/21 - 4*m**3\/21 + 3*m**2\/7 - 4*m - 21. Let q(c) = 0. What is c?\nAnswer: -1, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 163*-1178\nAnswer: -192014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27863 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 128*x - 707. Determine z(6).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-54 - -42) + -24 + 67\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 282 + -278. Suppose 36*p + 128 = y*p. Sort 0, 7, p, -31 in ascending order.\nAnswer: -31, p, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2 = 2*r. Let x(q) = -q**3 + q**2 + q. Let f be x(r). Let b = 2 + f. Solve -b*w = -4*u - 0*u + 13, 0 = -u + 4*w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t*t*(t*t**15*t*t)\/t)\/t**(-37))\/(((t\/(t**25*t))\/t)\/t**(-4\/9)) assuming t is positive.\nAnswer: t**(752\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33132490, 66264996, 99397502, 132530008, 165662514, 198795020?\nAnswer: 231927526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 5) in base 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.818439 to 3 dps.\nAnswer: -0.818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, g: 2, a: 1, p: 4, j: 2, e: 6}. What is prob of picking 1 e and 1 g?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**6\/120 + 11*a**5\/240 + 5*a**4\/96 - a**3\/12 + 2*a**2. Factor o(y).\nAnswer: (y + 1)*(y + 2)*(4*y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23055.02 + -22757. Let k = y - 295. Let s = -0.02 + k. Which is the biggest value? (a) 0.06 (b) -0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -812 = -2*f + f. Suppose -2*a - 3*a + f = 4*g, 2*g = -4. Is a a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 850 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25620)\/2340 - -11) + (-11515)\/195.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440441503 to the power of 1\/2, to the nearest integer?\nAnswer: 20987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -494*z = -3*g - 498*z + 14, 3*z = 6*g - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**4 - r**3 - r**2 + r - 1. Let i(n) = n**4 + 4*n**3 - 16*n**2 - 4*n + 4. Let u(g) = -i(g) - 4*k(g). Find the third derivative of u(d) wrt d.\nAnswer: -120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(560\/9190)*-7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -252, -660, -1402, -2646, -4560, -7312, -11070?\nAnswer: -16002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*z**3 + 0)*(1 - 4 + 57)*(2*z**2 + 3*z**2 - 4*z**2).\nAnswer: -108*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**3 - 11675*h**2 - 34990*h - 23320 = 0. What is h?\nAnswer: -2332, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2262 and 2.\nAnswer: 4524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5*w**2 - 5*w - 5. Let z be a(-2). Let f(l) = -l**3 - 17*l**2 - 38*l - 22. Calculate the remainder when f(z) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31.4, 6, -4, 3 in increasing order.\nAnswer: -4, 3, 6, 31.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12251 (base 6) to base 5.\nAnswer: -24311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (68 + -72 + (-18)\/2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6712387 and -0.47.\nAnswer: 3154821.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1920243*k**2*m**4 + 4*k**2*m**2 - 2*k**2*m + 142266*k - m**4 wrt m?\nAnswer: 46085832*k**2*m - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**3 - 1 + 1)*(2*k + 2 - 2) + (2 - 4 + 1)*(3*k**4 - 5*k**4 + 0*k**4) - 5*k**4 - k**4 + 3*k**4.\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 426706, -10.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 8\/133 (b) -2\/5 (c) 1 (d) -6.4 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 3*v**5\/5 - 63*v**4\/4 + 19*v**3 + 63*v**2\/2 - 60*v - 654. Determine g so that n(g) = 0.\nAnswer: -1, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 5*l - 235 = 0, 115 = 21*x - 24*x - 2*l. Sort -5, 0, -3, x in descending order.\nAnswer: 0, -3, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*v + 65602 = 0, 5*o - 30*v = -35*v + 109330. What is the ten thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 12:30 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (35259 + 30141 + 2509 + 9606)*(-3 - 3 + 5)*(3*b + 0*b - 4*b) in the form h*b + n and give h.\nAnswer: 77515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 33, 60, 4, 1, -2 in descending order.\nAnswer: 60, 33, 8, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2*o*(o*o*o\/(o\/(o*o**(-6\/5))*o))\/o)**(-45)\/((o\/o**(-6)*o\/o**(1\/2))\/(o*o**0)**18) assuming o is positive.\nAnswer: o**(-231\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 - 2552*q + 35924.\nAnswer: -(q - 14)*(q + 2566)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 16. What is the third smallest value in 2, r, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + (-1 - 12) + 11 - -16.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/425 - 14677\/42075. Calculate the common denominator of z and 16\/715.\nAnswer: 6435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)*w*w\/((w**(-2\/7)\/w)\/w))\/(w**(2\/9)*(w**(2\/7)\/w)\/w)*w**(-3)\/(w\/(w**5\/w))*w**(-2\/13)\/(w**(-4)*w) assuming w is positive.\nAnswer: w**(541\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 e when four letters picked without replacement from eovomoomof.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 117*t - 87*t - 357*t - 120*t - 7*t**4 - 5*t**2 + 201*t**4 wrt t.\nAnswer: 2328*t**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**5\/5 + 16*s**4\/5 + 12*s**3\/5 = 0. What is s?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 166, 255, 344?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/45 + 13\/(-18) + 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2798\/69 + 124\/3. Suppose 47*l - 59 + 12 = 0. Which is smaller: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 - -28. Find the common denominator of 72\/y*(-30)\/(-32) and ((-123)\/(-30))\/(-2 - -1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 + 2.3. Let m = -7.4 + u. Let l = -4 - m. What is the nearest to -1 in -2, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23011 - 23010 + 69043 - 23022 - 69607*n**2)*(-n**2 + 0*n + 0*n).\nAnswer: 69607*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 22782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*h + 60916, 3*t - 36558 = -210*h + 213*h. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 193*q**3 - 96*q**2 - 57*q - 5. Let c(r) = 116*r**3 - 48*r**2 - 28*r - 3. What is 5*c(m) - 3*g(m)?\nAnswer: m**3 + 48*m**2 + 31*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/191 and 41\/313.\nAnswer: 59783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4829\/22)\/((-3)\/(-6)) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 4, 6, 5 in descending order.\nAnswer: 51, 6, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q. Let l be u(1). Suppose l*c - 4 - 4 = 0. Suppose 0 = c*r + r - 25. Solve 3 = -r*z - 7, -2 = i + z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v. Let l(u) = 19*u - 177 + 177. Calculate l(m(g)).\nAnswer: -19*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.3874648 - 0.6125322. Let l = j - -4. Round l to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 8*x**2 + 33*x - 282. What is the remainder when v(-62) is divided by 217?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04 - 37.04. Let u = w - -64. Let z = u - 26.99931. What is z rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-66)\/(-10))\/((-1)\/(20\/(-8)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(2 + -1) + 0. Suppose v - 3*v - 6 = l, -4*c = -3*v - 17. Sort 1, c, 3.\nAnswer: 1, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(243) - (sqrt(243) + 1) - sqrt(243)) - sqrt(243)*2*-6 - (sqrt(108)\/sqrt(4) + 2 + 1).\nAnswer: -9 + 51*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9075477 is divided by 4101.\nAnswer: 4065","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9215674865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 3 = 2*s, -s - 2 = -g - g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in months?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 1. Let a(k) be the second derivative of k**6\/360 - k**5\/30 - k**4\/12 + 28*k**3\/3 - k + 55. Let o(j) be the second derivative of a(j). What is o(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39855*k**2*m**2 - 1250*k**2 + 2*k*m**2 - 2*m**2 - 3 wrt m.\nAnswer: -79710*k**2*m + 4*k*m - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-784)\/168 - (-2)\/3. Let l(g) = -21*g**3 - 5*g**2 - 3*g + 1. Is l(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**5\/20 - 7*a**2. Let s(w) = -2*w. What is n(s(u))?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/11 + 8*n\/11 - 10\/11.\nAnswer: 2*(n - 1)*(n + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10131.9 - 10132. What is the third smallest value in f, 8, -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 559762550 to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 16. Let j be ((-4)\/(-6))\/(u\/18). Find the third derivative of 0*h**3 + 2*h**2 - 3*h**j - h**3 wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -330368.6 to the nearest one thousand.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -23. Let w be (-1)\/(-2) - 35\/(-2). Calculate the highest common factor of w and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.09683 + -0.0975509. Round r to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 31. Suppose 790*c - 761*c = 580. Let t = w - c. What is the highest common factor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 4*k + 3. Let j(u) = -u**3 - 12*u**2 + 11*u - 24. Let t be j(-13). Give q(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.2 in -5\/3, -2\/7, -56\/17?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3242013 (base 5) to base 16\nAnswer: -da4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxxzznxnnx.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-5)*(5 - 0). Let l = 7 - s. Suppose l*i - 4*r - 232 = 0, 2*i + 4*r - 122 = -0*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 815592320 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.519 - 0.519. Which is smaller: b or -38\/7?\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -343*j**2*w**2 - j**2*w*z - 2*j**2*w - 2*j**2 + 3*j*w**2*z - 701*j*w + w**2*z wrt j.\nAnswer: -686*w**2 - 2*w*z - 4*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 c, and 1 b when four letters picked without replacement from ggaabcr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9680108987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 250\/(-3)*72\/(-12). Suppose -72 = -4*v + f. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4697 + 4697 - 19*z.\nAnswer: -19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*o + 4*u = 43*o + 67 - 27, -3*o = u - 17 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from hmhmomhmkomo?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12383 + 142*w + 12383 + 1468*w)*(3*w + w - w).\nAnswer: 4830*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (262\/96547*67)\/(42\/110)\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 215945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58599804.\nAnswer: 2, 3, 163, 29959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 19586?\nAnswer: 19585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*h**6 - 2*h**6 + 8*h**6 - 14*h**2 wrt h?\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/44 and 115\/66?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/40 and -203\/1292940.\nAnswer: 2585880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 158, -17, -2 in decreasing order.\nAnswer: 158, 3, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*q + 11*q**3 + 10*q)*(11*q + 14*q - 37*q).\nAnswer: -132*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12670*v - 25075*v + 12417*v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.030933 rounded to four decimal places?\nAnswer: 0.0309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/3? (a) -3\/2 (b) -3 (c) -1\/7 (d) 4\/24237\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 15056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from irrrrir. What is prob of sequence rr?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/39 + ((-357)\/(-39) - 5). Solve 4*c - 4*v = -20, v + a = -c - c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 142620759 = 16080759. What is o rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + sqrt(208) + (sqrt(208) - (sqrt(208) + -2)**2) + -4.\nAnswer: -216 + 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110111110000000 (base 2) in base 10?\nAnswer: -94080","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r + 79 + 320 = -37*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tddo when four letters picked without replacement from {t: 5, d: 5, o: 1}?\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of ((-18)\/8)\/(1\/((-120)\/9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 88*u + 1331. Determine d(-95).\nAnswer: 666","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 728008 is divided by 356?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2025 and 445095.\nAnswer: 2225475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 128670828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.565 + -0.005. Let o = 0.07 + y. Let l = -125\/14 - -66\/7. Put o, 3\/7, l in decreasing order.\nAnswer: l, 3\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 3. Let s be (-1)\/(x*(-3)\/6). Which is bigger: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52869 smaller than -52867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2\/4 - 7*h = 0. What is h?\nAnswer: 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*i**3 + 418929*i**2*u - 6*i*u + 7519497*i wrt i.\nAnswer: -156*i + 837858*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-216294)\/(-13) - ((-1)\/1 + -1). Suppose -15*z + q = 800. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 3:58 AM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 81\/5 (b) 659\/48 (c) -4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2741729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 855 - 854. Let k(f) = -f - 5. Let t be k(-6). Let j be (-3)\/21*5 + t. Is o smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -10041200331?\nAnswer: 10041200333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*r**6 + 128100241*r**3 + 139*r**2 - r + 260144 wrt r.\nAnswer: -360*r**3 + 768601446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3303, 4, 6312 in decreasing order.\nAnswer: 6312, 4, -3303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 5*q**2 + 17*q - 10. List the prime factors of u(-15).\nAnswer: 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -4, 0.5, 3\/4, -0.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccczzcczcccz. Give prob of picking 2 z and 1 c.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1660 is divided by 265.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-15) - (124\/20 + -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 277816\/(-3444) + (-14)\/(-21).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152)*-2)\/sqrt(8))**2 - (sqrt(133)*2)\/sqrt(7) - (sqrt(228)\/(sqrt(120)\/(-2*sqrt(10))) + 3)) + -5.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 - 13*x**2 - 6*x - 3. Let a be f(11). List the prime factors of a\/50*(-10)\/(-4).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -12 (c) 21772\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 185*j**3*n - 9*j**3*t + 2*j**2*n*t + 3*t wrt t.\nAnswer: -9*j**3 + 2*j**2*n + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610073271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h - 41. Let c be s(-13). Let a be (-120)\/(-32)*c\/10. Let g(p) = p**3 - 9*p**2 + p + 2. Give g(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 581 - 581. Suppose 199*u - 177*u - 325886 = k. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/18 and 103\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x - 6 - 2*x + x. Suppose 44*m + 194 - 62 = 0. What is the remainder when 17 is divided by j(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 916 and 30686.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 63 and -1233287837193.\nAnswer: -1233287837130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5, 17, 31, 47?\n\"Answer: f**2 + 9*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 26686023 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (10 - (10 + 20 - 8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 at most as big as 459902?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3360, -6729, -10098, -13467?\nAnswer: -16836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/2, -5, -1\/3, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27 - 93*r**5 - 11517*r**3 + 3*r + 5758*r**3 + 5757*r**3 wrt r?\nAnswer: -1860*r**3 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 10:05 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*i + 10, -2*n + 4 = i - 6. What are the prime factors of (2 + -14)*n\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-3))\/(3 - 95\/30). Suppose -5*t = -0*t + 15. Is m <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3415203.\nAnswer: 3, 11, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.74 * 2077948.\nAnswer: 16083317.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -v**4\/24 - v**3\/2 - 12. Let g(u) = 0. What is u?\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 1:41 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267184 is divided by 15689?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 12, -63809, 1, 0 in descending order.\nAnswer: 12, 2, 1, 0, -63809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -491 - -497. Suppose j*l = -10*l + 11680. Does 51 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 70, 276, 682, 1354, 2358, 3760?\nAnswer: 5626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108981 is divided by 1067.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -96\/1415 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by -146.\nAnswer: 13\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03695 in 2, -0.5, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 + -70. Let z be (10\/b)\/(2\/(-6)). Suppose z*s + u - 67 = 0, -2*u = 3*s - 4*s + 41. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, k: 2, r: 1, d: 1}. What is prob of picking 1 k and 1 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 234, 340, 440?\nAnswer: 534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -49343, -49342, -49341?\n\"Answer: h - 49344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*w + 27. Is 5 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122918526 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**5\/60 - p**4\/12 + p**3\/6 - 5*p**2. Solve l(i) = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2187) - 5*sqrt(2187))*1 + -5*(sqrt(2187) + sqrt(2187) + (sqrt(2187) + -4 - sqrt(2187))))**2 + -5.\nAnswer: -15120*sqrt(3) + 429047","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 206.7 - 207.1. Let n = 14.72 + -15. Which is bigger: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 822117?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, t: 6, l: 3}. Give prob of picking 2 t and 2 l.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4 = -16. Suppose v + s*v - 15 = 0. Solve 0 = v*b - 1 + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.2 + -7.2. Let p = g + 2. Let q = 3 - 2. Which is the nearest to -1? (a) p (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4678, -4, 3\/5, -148?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*h + h. Suppose d = h*d - 143. Let a(r) = -r**3 + 11*r**2 + 2*r - 19. Give a(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 652 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41022 and 12384?\nAnswer: 656352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2 - 4 = 5*n, n + b - 2 = 0. Suppose 3*x = n, 4*x = 5*a - 35 - 35. Suppose 4*r - 707 = -z, 0 = -3*z - 1 - a. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + sqrt(320) + 3).\nAnswer: -32*sqrt(5) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 8. Let o = 23 + -29. Give i(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 24, -3, 4 in descending order.\nAnswer: 24, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -459, -1597, -3815, -7473, -12931?\nAnswer: -20549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (-23 - (8 - 11)) + (0 - 16).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.5 + -2. Let p be (-9)\/(-10)*(-10)\/12. Let l = -43009 + 43010. Which is the second smallest value? (a) p (b) l (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 3:28 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - y + 4 = 0, 0 = 4*a - 8*a - 3*y - 27 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -12*h - 77. Let l be m(0). Let x = 79 + l. Suppose 1\/5*c**x + c - 1\/5*c**3 + 3\/5 = 0. Calculate c.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104373060?\nAnswer: 2, 3, 5, 11, 158141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1389 - -206653154252?\nAnswer: 206653152863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 455 divide 62325757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 3*o - 2. Let j be t(-2). Let v be 110\/j - (-2)\/8. Suppose 4*h - 2*h - v = 0. Calculate the remainder when 19 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 5)*(0 - 6 + 4)*(-j + 0 + 0)*(0 - 1 + 0) + 1 + 2*j - 1 as i + f*j and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 s when two letters picked without replacement from {w: 1, s: 11, v: 1}.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/6653623 and -117\/10?\nAnswer: 66536230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 75*y**2 + 142*y - 151. Is p(-69) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3299*h - 3291*h - 8. Solve q - 3 = 0, 2*q - 9 = 2*x + h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1090\/5 + -1)*-4. Let u = s + 1570. Suppose -5*x = x - u. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c + 78 - 742. Let z be ((-40)\/18)\/(-2 - c\/42). Let x = z - 115. Calculate the common denominator of x and -35\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*r + 5*r - 3, -r = -o - 2. Suppose -o*k + 878 = -310. What is the highest common factor of 44 and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2 - 31*u + 41. Determine i(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -465 not equal to -5100\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.15 + -4.15. Sort -1, 2, c.\nAnswer: c, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wtwllwtltltwtt. What is prob of picking 1 l, 2 w, and 1 t?\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -34056, -136237, -306540, -544965, -851512, -1226181?\n\"Answer: -34061*a**2 + 2*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = g + 1 - 393, -5*f = g - 407. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 3*y - 4*z - 286 = 0, 0 = -y + 2*z + 56. What is the lowest common multiple of y and (-2)\/((63\/(-14))\/9)?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47953306.\nAnswer: 2, 23976653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 8*y**2 + 11*y - 10. Calculate the lowest common multiple of 8 and n(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 2 = 0, -5*p - 31*o - 176 + 29 = 0 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 339*x**2 - 169*x**2 + 263*x - 170*x**2 + 1537*x + 1087*x**3 wrt x.\nAnswer: 6522*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 732 = 176. Let c = 83 - i. Is (c\/(-8))\/((-1)\/(-37)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -8*m + 4. Let u(s) = 15*s**2 - 6*s**2 - 11*s**2. Determine u(n(z)).\nAnswer: -128*z**2 + 128*z - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o - 126. Let v(r) = 3*r + 168. Let y(w) = -4*j(w) - 3*v(w). Let i(k) = 2*k**2 - 630*k. Calculate y(i(t)).\nAnswer: 6*t**2 - 1890*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(2541) + -2*sqrt(2541) + sqrt(2541) - sqrt(189)\/(sqrt(9) - sqrt(144)))\/(-1*sqrt(243)*-1 + sqrt(243) - sqrt(243)).\nAnswer: -sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) 2\/13 (c) 32 (d) 2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.44671 centuries in decades?\nAnswer: 24.4671","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 90*t = 89*t + 21, 3*p + 5*t = 105 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20344681 or 20344677?\nAnswer: 20344681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -6*f + f. Let y = 21 - f. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -1563.8.\nAnswer: -1563.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/44*84\/(-21)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/10 + (-6)\/(-90)*6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5\/7 + o**4 - 2*o**3\/7 - 2*o**2 + o\/7 + 1 = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**8\/112 + 4*p**7\/35 + 21*p**6\/40 + 7*p**5\/10 - 5*p**4\/2 - 12*p**3 + 25*p**2. Solve i(m) = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2 + l + 3. Determine z(4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -9, -474, -2, 1 in descending order.\nAnswer: 1, 1\/2, -2, -9, -474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 440 + 225 + 215.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 4:16 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, x: 2}. What is prob of sequence xe?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 + 853608*v + 45540413604.\nAnswer: 4*(v + 106701)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 320398, 320404, 320410, 320416?\nAnswer: 320422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*z**3 + 17*z**3 - 11*z**3)*(-z + 0 + 0).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 11:54 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 6. Let n = -22 - -39. Suppose -i*t + n + 27 = 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**5\/210 + 11*w**4\/12 + 158*w**3\/21 + 19*w**2 - 43. Determine r so that l(r) = 0.\nAnswer: -2, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*t + 73*t**2 - 33*t**2 - 34*t**2 + 13*t as g*t + w + c*t**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**5\/2 + 275*u**4 - 929*u**3\/2 - 368*u**2 + 370*u = 0.\nAnswer: -185, -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 8 - 7 + 2 + 4*a**2. Let p be y(-4). Let c be (-18)\/(-6) + -3 + 3 + 22. Solve -p*v + c = 2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457286 is divided by 822.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.3261 millilitres to litres.\nAnswer: 0.0253261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.07 times -16383?\nAnswer: -17529.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*n = 90, -3*l + 3*n - 8*n = -54. Suppose 2*c + l = 3*c - 2*v, 3*c - 3*v - 51 = 0. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 4*y**2 + 3*y - 1. Let t be u(-3). Let a be t + (119 - 4) - 2. Suppose a = 9*l - l. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 z when three letters picked without replacement from xxzpxppxpxxxpp?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3\/4 (b) -2\/7 (c) 355\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2867063 + -1826710. Suppose -3*x - 249643 - a = -v, 4*x + 1719980 = 5*v. Round x to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.09 and -0.507.\nAnswer: -0.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.08 + -2620976.\nAnswer: -2620973.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 40*u. Let z(s) = -10*s. Suppose 0 = -3*v - 198 + 225. Give v*z(a) + 2*c(a).\nAnswer: -2*a**2 - 10*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 111*s + 434. Give h(-3).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 327 a factor of 1964557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p. Let a(h) = -2*h + 1. Let w(x) = 2*x - 1. Let v(t) = 7*a(t) + 6*w(t). Let o(q) = -q + 1. Let m(u) = 2*o(u) - 2*v(u). What is b(m(g))?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.33 (b) -7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = x + o, 9 = 2*x - 0*o - o. Suppose -x*u - 11 = -5*a + 490, 4*u + 519 = -a. Is -128 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a - 14. Let h be n(11). Suppose -5*i + 5*y - h = 0, -2*i - y + 8 = -4*i. List the prime factors of 2\/(-3)*(i + -40).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22788782?\nAnswer: 2, 31, 367561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 9483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 7. Suppose -3*s - 20 = -k*s. Calculate the remainder when (-3 - (-2 - 119))*1\/2 is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18475 is divided by 6148?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -171 + 171.09. Let m = 2967 - 2962. Let l = 0.3 - 0. What is the nearest to t in l, 1\/2, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + n**2 + 1. Let u(y) = 4*y**3 - 5*y**2 + 4*y - 8. Let d(v) = u(v) - 6*x(v). Let b be d(-6). What is the units digit of (b\/(-2))\/((78\/12)\/13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 57\/15)\/(2\/(-15)). Suppose m*y - y = 4*g + 70, 4*y - 5*g = 56. Let n = y + -10. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0537 - -123.8537. Let v = 124 - o. Let w = 5 - 8. Which is the second biggest value? (a) v (b) w (c) 0 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 1.6 (c) 28 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, 1\/8, -7.4753, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 2*w**2 - 2*w**2)*(0*w - 3*w - 10*w) + 2*w**3 - 5*w**3 + 5*w**3 + 2 - 2 - 2*w**3 + (-2*w**2 + 3*w - 3*w)*(3*w + 0*w - w).\nAnswer: 22*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 56 = 91. Calculate the highest common factor of y and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 788508454422.\nAnswer: 788508454426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**3 + 33*x**2 - 17*x - 1. Let z be q(-17). Let i(c) = 4*c**2. Calculate i(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21\/10? (a) 1\/2 (b) 1\/3 (c) -1\/10 (d) -1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -75 + (-20)\/(-5) - 0. Let r = -14 + i. Let d = -79 - r. What is the highest common factor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2060)\/35 + (-4)\/28. Sort 3, -2, 5, v.\nAnswer: v, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u - 1 = 0. Let v be 2\/(-4) + 0 + (2 - u). Is v greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254594 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -254*f**4*v + 6*f**2 + 17*v wrt f?\nAnswer: -6096*f*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o - 7. Suppose 4*r = -c + 16 + 6, 0 = c - 2*r + 2. Let x be k(c). Let t = -55 + 57. Solve -w - x*j + 11 = 0, 5*j = t*w - 5*w + 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157702951 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (30\/(-3))\/(6\/3). What is the closest to 1 in 0.5, f, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2735 + -388. What are the prime factors of k?\nAnswer: 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-154)\/(-784)*14)\/1\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1582 (base 11) to base 13.\nAnswer: bcb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -2 (c) 0.0185 (d) -2\/13 (e) -21\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 take away 0.58?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5548*j**4 + 162*j**2 + 2851618*j wrt j.\nAnswer: 66576*j**2 + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -345 - -301.9. Let y = -80 + 123. Let i = f + y. Which is greater: i or -0.41?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -344 + 368. Suppose 0 = -3*n - 4*f + 167 - 45, -2*f = 8. What is the remainder when n is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 5) to base 7.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -182d49 (base 14) to base 5\nAnswer: -204301003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 6*v - 3. Let s = 6 - 10. Let h be n(s). Calculate the greatest common factor of 45 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -2*r**3 + 19*r. Let x(c) = 1. Let y(o) = o - 1. Let p(f) = x(f) + y(f). Give v(p(m)).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/8 and (9\/(-30))\/((-6)\/(-145)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8.553963 milligrams?\nAnswer: 8553.963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3 = -3*h - 2, h = -2*q + 9. Let i = 3\/14 - 55\/126. What is the biggest value in h, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**6\/15 - h**3 - 11*h**2. What is the derivative of j(v) wrt v?\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**6\/150 - 11*u**5\/50 + 33*u**4\/20 - 64*u**3\/15 + 26*u**2\/5 - 2*u + 27. Solve l(k) = 0 for k.\nAnswer: -26, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/13 and 8\/(-56)*220\/52.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 11*z + 29. Let o(u) = 4*u + 10. Calculate 17*o(a) - 6*q(a).\nAnswer: 2*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c + 5. Let h = 208 - 201. Determine x(h).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 72*u**3 + 2*u - 2. Let q be g(1). Suppose 25 + 3 = -2*d. Let l = -5 - d. What is the highest common factor of l and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = -588*p + 620*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2 = -2. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3383368?\nAnswer: 2, 19, 22259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12042 - -2?\nAnswer: -12040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-6)*(84\/(-8))\/7. Let u be ((-2)\/(-10) + a)\/(3\/(-1995)). Suppose -5*x + 28 + u = 0. What is the remainder when x is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, s: 3, h: 9, e: 1}. Give prob of picking 3 j and 1 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n + 5 + n**3 + 2*n + 2*n + 6*n**2. Let p be f(-5). Solve -y + p = -4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -438 = 5*p - 11*p. Suppose -p = w + 22. Let a = -52 - w. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -12*b - 7. Let w(r) = r**3 - 4*r**2 - 5*r - 7. Let t = 5 + 0. Let u be w(t). Is q(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 15*i**2 - 35*i - 9. Let f be o(12). Suppose f*k - 2*s = 3341, s = -0*k + 3*k - 3343. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 60192, 9 in descending order.\nAnswer: 60192, 9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from osooessooseboeb.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**2 + 3*k**2 - k**3 + 0*k**3 - k**3 + 2*k**3 + (0*k**2 - 3*k**2 + 2*k**2)*(-k - k + 0*k) in the form y*k + o + g*k**2 + v*k**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 0*l - 1467 = 0. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (90*i + 21*i - 11*i + (i - 3 + 3)*(1 - 5 + 5))*(2 - 2 + 2).\nAnswer: 202*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 4978.\nAnswer: 9956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 2, -2, -165, 4, 1 in increasing order.\nAnswer: -165, -2, 1, 2, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)*(z**(-2)*z)\/z)**(-7)*(z*(z\/(z\/(z\/(z*z*z\/z**(2\/7)*z))))\/z)**(1\/18)\/(z**(-6)\/z**(-4)) assuming z is positive.\nAnswer: z**(3761\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 y when two letters picked without replacement from yyppyp?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 3 = -10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 12 = i, 2*i + 2*i - 24 = -4*v. Let a be (-9)\/9*(i - 2). Put 4, 3, a in ascending order.\nAnswer: a, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - t - 1071. Let k = 6 - 24. What is the common denominator of 47\/10 and 2 + t\/k + -1?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {e: 2, k: 9, f: 2}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3*-59448\nAnswer: 178344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9240822 rounded to the nearest 1000?\nAnswer: 9241000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 5*q**2 - 5*q - 2. Let z be x(-4). What is the derivative of 0 - 2*t**z + 0 + 0*t**2 - 1 wrt t?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2 + 54*r + 144 = 0 for r.\nAnswer: -24, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68\/411875 or 1?\nAnswer: 68\/411875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = n - 103, 2*v + 2*n = 54 + 8. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2404, -3809, -5174, -6505, -7808?\nAnswer: -9089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2954 - -10556. Does 165 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 5*x - w, -2*x = -x + 3*w - 27. Let s = x + -20. Solve -s = u + g, -15 - 10 = 5*g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10805*o**5 + 402*o**2 + o - 2 wrt o?\nAnswer: -648300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + d**2 - d. Let r(s) = s**2 + 6. Determine 2*a(b) - r(b).\nAnswer: 2*b**3 + b**2 - 2*b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) -9627 (c) -3 (d) -114 (e) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 71443.948 to the nearest 100.\nAnswer: 71400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-44)*97713\/3807?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a - 1. Let x(z) = 10*z - 12. Let y(t) = -18*g(t) + 2*x(t). Let k be y(5). Solve k*o = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 6:29 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -8*x + 6. Let p(q) = q - 1. Let n be (12\/16)\/((-1)\/8). Let l(a) = n*p(a) - u(a). Let j(k) = -15*k**2. What is l(j(v))?\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/62688 and 23\/135228.\nAnswer: 706431072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -20. Let x = -3.32 - b. Let a = x + -0.6861. What is a rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15926.486258 to the nearest 10.\nAnswer: -15930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 29*c - 10. Let o(b) = 28*b - 12. Let w(r) = -5*i(r) + 4*o(r). What is the first derivative of w(y) wrt y?\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/16)\/1 - (153\/34)\/9\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8654 + -7524. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5403 + -3313400?\nAnswer: -3303553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**4\/12 + 11*i**3\/6 - 7*i**2 - 9*i. Let d be p(12). Let a = -18 - d. What is the remainder when a is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*b = 16*b - 46*b. Suppose t - 2*t + 55 = 0. Suppose t = 3*s + a, b = 4*s - a - 3*a - 68. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7789*-161.05.\nAnswer: 1254418.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -11. Let i(g) = -g**3 - 2*g**2 + g - 4. Let h be i(-3). Suppose h*o - 7 + 1 = 0. What is the remainder when k is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*z - 2. Let u be -2 - 0 - (-9)\/3. Let g = z - u. Let p(k) = k - 2. What is p(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -323741.4 - -1?\nAnswer: -323740.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c - 5*c - 5*c**2 + 4*c**2 - 2. Let h be k(-2). What is the second derivative of h*q + q**4 + 0*q**4 - q wrt q?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 4:03 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 1. Let z = 18 + f. Let i = 27 - z. Let p(y) = -y**3 + 6*y**2 - 2*y + 7. Give p(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 + 5*a + 5. Let k(i) = 1 - i - 1 - 1. Determine -5*k(q) - x(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 768548 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: In base 7, what is -21246 - -66456?\nAnswer: 45210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 51371, 102738, 154105, 205472, 256839, 308206?\n\"Answer: 51367*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*m**5 + 41*m**2 - 41*m**2 + (-2*m**2 + 2*m**2 - 3*m**5)*(-1 + 0 - 7).\nAnswer: 8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.716 - -144.646. Let v = -139 + j. Round v to one dp.\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0216878 to 3 dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggccggcclcccgggccgg. Give prob of picking 2 g and 1 l.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**4*f**3 + 17042*d**2*f**3 + 10*d*f**3 + d*f**2 + 68*d + 2*f**3 wrt d?\nAnswer: 24*d**2*f**3 + 34084*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/5658 and 26\/2091.\nAnswer: 96186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1155 and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, -15, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 + 1 - 1)*(-32*p - 12*p + 40*p - 20).\nAnswer: -12*p**3 - 60*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/7 + (-6138)\/13440. Let p = -14551\/320 + b. Calculate the common denominator of 41\/2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 6:51 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, x: 3, a: 1}. Give prob of sequence xz.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, g: 7}. What is prob of picking 2 g and 1 p?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttyytltki. What is prob of sequence tl?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -290 - -887\/3. Factor 40\/3*o**2 + u*o + 16\/3*o**3 + 2\/3.\nAnswer: (o + 2)*(4*o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 69a + -25aa?\nAnswer: -1d10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.8 + -14.9. What is the closest to z in 5, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-1)\/k))\/k**(-2)*k**(-1)\/(k*k**(2\/9)\/k*k)*(k**(1\/4)*k**5*k)**(-42) assuming k is positive.\nAnswer: k**(-4675\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cec. Give prob of sequence cc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times -0.4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**3 + a**2 - 12*a. Let o(w) = 10*w**3 + 4*w**2 - 36*w - 1. Let q(y) = 7*g(y) - 2*o(y). Let n be q(-3). Sort 3, 19, n.\nAnswer: n, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000440743 to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 - ((0 - -3) + -1). Suppose -2*y = -d + 9, -5*d + 9 = -0*d - y. Let r = h + d. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 3*m + 1. Suppose -2*f - 2*r = r + m, -3*r = 3*f + 21. What are the prime factors of (-60)\/f + 4\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 140.515 and -10.1?\nAnswer: -1419.2015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3270078?\nAnswer: 2, 3, 7, 41, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46026 (base 9) to base 5.\nAnswer: -1440032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20*73\/(-40)*-2?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16, 0.2, -0.4, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*q + 69*q = 24*q + 110 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpr when three letters picked without replacement from vkrpkkzvkkkzzr?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 761, -5, 0.072?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*sqrt(343) + -4)**2.\nAnswer: 168*sqrt(7) + 3102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*d - 3*g + 2, -g = -2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/2163 and 42\/5.\nAnswer: 10815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3357119943 to the power of 1\/3, to the nearest integer?\nAnswer: 1497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*w + 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.085 - 84.085. Let x = -56 - d. Let i = x - 27.9977. What is i rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**9\/168 - 11*j**5\/30 + 21*j**2. Find the third derivative of p(k) wrt k.\nAnswer: 360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a**2 - 28*a + 10. Let m be x(5). Let y(j) = 4*j**2 - 8*j - 1. Let h(c) = -3*c**2 + 6*c + 1. Let u(s) = m*y(s) - 7*h(s). Give u(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -16.94\nAnswer: -16.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = c - 20, 5*c - 40*y - 157 = -44*y. Calculate the remainder when -3 + -86*(1 - 2) is divided by c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2794 - 67195\/24. Find the common denominator of -13\/102 and d.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 4:08 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - -5. Suppose 3*c - n = q - c, 2*c + 193 = -3*q. Round q to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/10 + 0\/(-51 - -11).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18361359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 440 (base 9) to base 5.\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(0 + (-3)\/9). Solve i = -5*x + 8 - 23 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 21*x + 40. Let i be w(19). Solve 3*j = 2*j + i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -21, -3, 23?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572 is divided by 155.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16420.\nAnswer: 2, 5, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**4\/4 + 16*p. Let r(s) be the third derivative of -s**4\/24 + 4*s**2. Determine r(u(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 98*x**2 - 1965*x + 248. Give q(70).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19, -3, 31, 89, 177, 301, 467?\n\"Answer: y**3 + 3*y**2 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62341 divided by -231?\nAnswer: -62341\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 1:36 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 + 683*u - 86175. Determine k(98).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 81*r - 16*r - 34*r + (2 + 0 + 0)*(3*r - r - 3*r) + 3*r - 13*r - 3*r.\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 7. Let i = v - -8. What is l in -4\/7*l**2 + i + 0*l + 6\/7*l**3 - 2\/7*l**4 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5089 or 300323\/59?\nAnswer: 5089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppiixixpxpppixl. Give prob of sequence xpip.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**6\/120 + k**5\/60 + k**4\/6 + k**3\/2 + 4*k**2. Is g(-3) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h + 3*h + 5*h. Let k(y) be the third derivative of y**5\/30 + y**2 - 10. What is j(k(v))?\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 2700?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 356a5 + -58a9?\nAnswer: 2a8a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/55950 and -86\/27975.\nAnswer: 55950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 6*c - 616. What is the units digit of -4 + c\/21 - 2\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -14.03. What is the second smallest value in z, -2\/7, -4\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -s + 32, -2*s + 3*s = 3*r + 16. What is the second derivative of -28*f - s*f + 55*f - 20 + 45*f**2 wrt f?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + n - 7, 0 = -4*y - 2*n - 2*n + 4. Suppose -3*v + 24 + 36 = 0. Let u = -9 + 14. Solve -3*x + a + 8 + u = 0, -y*x = 5*a - v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.8 - -13. Which is the smallest value? (a) u (b) 4 (c) -4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -8*z + 35. Determine s(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 770928623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 4. Let q be o(-4). Suppose q*u = 3*u + 50. Solve -4*k + u = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 c when three letters picked without replacement from dcdcd?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3*o**5 + 48*o**4 - 183*o**3 - 42*o**2 + 672*o + 480 = 0?\nAnswer: -1, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*q = 52*q + 1798. Solve q*w + 152 = -9*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide ((-90)\/4)\/(2\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1587646353 rounded to two decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1166, 9614, 32608, 77420, 151322, 261586, 415484?\n\"Answer: 1212*h**3 + h**2 - 39*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13790.93 rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*r + 43*r - 5 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(60\/90*3\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*-1*(-9)\/81. Let g = -2714 + 13669\/5. Which is smaller: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 67 + -1?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -6582.59342 to the nearest ten.\nAnswer: -6580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*(sqrt(272) + (sqrt(272)*-3*-5)**2 - (0 + 2 + sqrt(272))).\nAnswer: 734376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*r = -85, -3*g - 4*r = -4*g. Let f = -19 + g. Suppose 0 = 5*x + 2*c - 5, -3*x + 4*c + 2 + 1 = 0. Calculate the highest common factor of f and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(((y*y\/(y*y**(-8)*y))\/y)\/y))**(-29)*(y*y\/(y**(-6\/11)\/y*y))\/y*y\/(y*y**(-1\/10)) assuming y is positive.\nAnswer: y**(16131\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*x - 2 + 1, x + 5 = 0. Let o(m) be the first derivative of 2*m**3\/3 + m**2\/2 - 4*m + 1. Let g(w) = 4*w**2 + 3*w - 9. Give p*o(s) - 3*g(s).\nAnswer: 2*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1. Let t = l + 5. Let r be 24\/(-63) + 4\/(-14). Put t, r, -0.5 in ascending order.\nAnswer: r, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.242831 litres to millilitres.\nAnswer: 242.831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*t - 10. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + 5. Let o be ((60\/9)\/5)\/(4\/(-6)). What is the units digit of m*1 - (o + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 + (-18 - -26 - (7 + -2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 25239129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -147 + -755?\nAnswer: -1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 10) + (-7 - (-34 + 17))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/284 and 9\/4.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*f - 2*f + f)*(2*f + 6*f - 2*f) + 2*f**2 - 3*f**2 + 3*f**2)*(f**2 - 4*f**2 + 2*f**2).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 72 = i. What is the remainder when i is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136799 divided by -10?\nAnswer: 136799\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4 + 0 + 2 + t + 4. What is the units digit of o(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212\/6*(-21)\/(-21)*-9*(-2)\/6?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.23121nm in micrometers?\nAnswer: 0.06923121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x*x*x**(2\/9)\/x*x*x)))**(-12)\/(x**(-2\/5)*x*x**(-12)*x*x))**(-2\/19) assuming x is positive.\nAnswer: x**(878\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - o + 16. Let u(g) = 8*g**2 - 4*g + 1. What is u(k) - w(k)?\nAnswer: 9*k**2 - 3*k - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64585.\nAnswer: 5, 12917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a + 2 - 4*a - a - 17. Let z be i(-11). Let r = 67 - z. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 5*c - 6. Let k(l) = 7*l**3. Let i be k(-1). What is the units digit of s(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 2:33 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1717950 and 6150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -277*d + 4*d**5 - 4*d**4 + 309*d + 16 - 20*d**3 + 0*d**4 + 4*d**2.\nAnswer: 4*(d - 2)**2*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/36 - -1)*594\/(-396). Which is the fourth smallest value? (a) -5 (b) -0.11 (c) x (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 70 and 75175.\nAnswer: 5262250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + -3 + 10 + -1 - 21.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (228586*g**2 - 106153*g**2 - 99421*g**2)*(-2*g - 5*g + 2 + 5*g) to the form o*g**3 + p*g**2 + i + b*g and give p.\nAnswer: 46024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 401*o + 400*o = 0, -2*x - 2*o = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*(-17)\/(51\/(-6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.48 - 0.38. Which is the closest to 1? (a) w (b) 2\/9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p - 4*p + 3*p + 0*p + 0*p + p + (-2 + 4 - 1)*(3 - 3 - 2*p) + (37*p - 52*p - 133*p)*(-3 + 3 - 2) to t*p + s and give t.\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 - 61. Let o(g) = g**2 + 5*g + 5. What is o(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 42\/18 + 2\/(-6). Suppose 2*f + 10 + c = 0. Let p(r) = r**3 + 5*r**2 - 8*r - 8. Let a be p(f). Solve -13 = -a*w + 5*h, 0*w - 5*h + 5 = 5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/47, -1\/11, -87.9, 4 in increasing order.\nAnswer: -87.9, -1\/11, -4\/47, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.33147 rounded to two decimal places?\nAnswer: 1.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98522 is divided by 119?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1249*h - 446*h = -688*h + 94778 - 845 for h.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 317 = 317. Suppose c = -10*w - 7*w - 374. Is w equal to -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2449*v + 4304*v - 1843*v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 234 (b) 1\/3 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 4)\/(1*(-2)\/6). Suppose 4*r - o*k = 2767, -5*r + 4*k = -573 - 2886. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.318114 times -0.1?\nAnswer: 0.8318114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -8 + 60. Suppose 0 = -3*w + w - 2*u + 336, 0 = 2*w + 4*u - 334. What is the highest common divisor of w and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 16 + 19 + 23*q**2.\nAnswer: 23*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5952 - 5943. Calculate the remainder when 2924 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 16, 37, 64, 97, 136?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 775896 and 82315512.\nAnswer: 905470632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1.01. Let p = v - 4.99. Let y = p + 5.08. Round y to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-864)\/(-144)*2\/3)\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l - 6*l - l + 4*l - l + 0*l - 1 + 1 + l + (-l + 2*l + 0*l)*(0 - 2 + 4) + 3*l + 0*l - 2*l + 0 + l + 0 + 2*l - 2*l + l - 2*l - 3 + 3.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-27)\/21 - 2\/(-7))*70. Let q be (-9)\/24*d + (-1)\/4. Calculate the highest common factor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20211 - -332?\nAnswer: -13213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.886 + -1.114. Put -0.08, r, 1\/8 in descending order.\nAnswer: 1\/8, -0.08, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 1 = -6*y. Suppose -3*x = y*x. Suppose 2*k - k - 2 = x. Solve -j + k = -2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - o + 19, -3*q - 6*o + 8*o + 25 = 0. What is the units digit of 9 + (3 - q) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 6*q**2 - 4*q + 4. Calculate the remainder when c(5) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/14)\/(-5) - (-58)\/(-70).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009298 to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 10*k + 3. Give i(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 324 + -320. What is the lowest common multiple of f and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 220 and 134288?\nAnswer: 671440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1429208.\nAnswer: 2, 11, 109, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -253 + 1a0b0?\nAnswer: 19b5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7\/11 (b) -3 (c) 1 (d) -138 (e) 0.67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -6.3. Let a = -1 + 0.99. Let c = a + -2.99. What is the smallest value in -1\/4, c, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, d: 2, v: 1}. Give prob of sequence vd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(60\/(-21))*28\/98?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 10*a**2 - 13*a + 7. Let y(t) = 3*t**2 - 4*t + 2. Let v = 3 - 1. What is v*b(l) - 7*y(l)?\nAnswer: -l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.9 + 5.9. Sort -15, o, -1\/4, -1\/3 in decreasing order.\nAnswer: o, -1\/4, -1\/3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 286 + -202. Suppose 0 = 18*b - 6 - c. Sort -3, b, -48 in increasing order.\nAnswer: -48, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1496063269.\nAnswer: 389, 3845921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55895\/16 - -3489. What is the common denominator of n and -95\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fho when three letters picked without replacement from {o: 1, l: 1, h: 1, f: 2, v: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*m + 101*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5997133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 767*n**5\/10 + 373*n**3\/3 + 183*n. Find the second derivative of s(h) wrt h.\nAnswer: 9204*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 454, 1194, 2276, 3700?\nAnswer: 5466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 15*x**2 - 12*x + 1. Determine h(2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -451, -1 in decreasing order.\nAnswer: -1, -3, -451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -16, -19, -18, -13, -4, 9?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11455 by -236.\nAnswer: 11455\/236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*t + 8*t - 15*t + 12*t**2.\nAnswer: 12*t**2 - 129*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i**3 + 5*i**2 + i + 5. Let l(d) be the first derivative of d**3 + 0*d**2 + 30 + 1\/2*d**4 + 3*d. Determine -5*l(g) + 3*t(g).\nAnswer: 2*g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**2 - 3*v - 3. Let d be s(-2). Let w be (-272)\/85*(-95)\/76. Solve 0 = -j - w*f + d, 5*j = -3*f + 2*f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 460 + -31.88?\nAnswer: 428.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*r + 1034 = -2*r + 189 - 819 for r.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -z + 5. Factor -98*b + 235*b - 81*b - 196 - z*b**2.\nAnswer: -4*(b - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 216445.2t?\nAnswer: 216445200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b - 7. Let x = 2 - -3. Let t be v(x). Let f be (-156)\/t - (-4)\/18. Calculate the greatest common divisor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003903790863 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - -41. Let z = j - 778\/15. Let h be (-8)\/(-6)*1\/(-4). Which is the biggest value? (a) 0.2 (b) h (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -2\/55, 2629, -1, 0.3 in decreasing order.\nAnswer: 2629, 5, 0.3, 0, -2\/55, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2978 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5569793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**4\/24 - 2*a**2. Suppose -u + 84 = 3*u. Suppose 0 = -5*l - 1 + u. Calculate o(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d**3 + 5*d**3 - 15*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4*o = o - 28, 0 = -2*b - 4*o + 20. Solve j - b*k - 14 = 6*j, 4*k = -2*j + 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442 a factor of 46462989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j + 17. Let l be b(-7). Solve -l*m + 18 = -3*i, 0*m = -4*m + 20 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -26*j - 4. Let x be m(3). Let f = -42 - x. What is the least common multiple of 6 and f?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 80 and -0.4.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/9*(-4)\/16*6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 3 + 4*i - 9 - 12*i.\nAnswer: -8*i - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -323?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/45, 5, 2\/11, 1\/4.\nAnswer: -2\/45, 2\/11, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -16956100 rounded to the nearest ten thousand?\nAnswer: -16960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 63\/206, -5, 0.1 in decreasing order.\nAnswer: 63\/206, 0.1, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j. Suppose -5*n = 252 + 123. Let x = n - -77. Let v(k) = -5*k**2 + 6*k**2 - x*k**2 + 0*k**2. Give h(v(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(3 + (-5)\/(-1)). Let h = 1 + i. Let y be h\/(-6) - 7\/(-6). What is the nearest to 0.2 in y, -2, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*(sqrt(343)*-3 - (sqrt(7) + 6*(sqrt(7) + 2)**2))*6.\nAnswer: 1977 + 1380*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 860914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 + 77 + 335)*(153*m**4 - 77*m**4 - 77*m**4) to the form x*m**3 + p + i*m**2 + f*m**4 + k*m and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 827 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 8*i**2. Let p(r) = 239807*r. Calculate a(p(w)).\nAnswer: 460059177992*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = o - 34, 0 = -4*o - 393*l + 399*l - 327 + 229 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 204 = 2*r - 181, 0 = -5*r + 5*u + 940. What are the prime factors of r?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {r: 1, d: 3, h: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, w: 2, b: 3, q: 1, c: 7}. What is prob of sequence vqb?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 19. Let q be 2\/6 - (-22)\/6. Suppose u = m*u - q. Solve 0 = -5*r + d - 19, -5*r = -u*d - 12 + 28 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 3*z**2)*(z - 67 + 59 + 0*z)*(-3 + 1 + 1) to m*z**3 + f*z + v*z**2 + a and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 407964 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 10:10 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((3*-1*sqrt(133))\/((sqrt(21) - 2*sqrt(21))\/sqrt(3)) + -5)**2 + 5).\nAnswer: -1206 + 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2\/7 + 34224*y\/7 = 0. Calculate y.\nAnswer: -34224, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76 - -406. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**5 - 3780*b**4 - 260680*b**3 + 279600*b**2 + 1042784*b - 1057920 = 0.\nAnswer: -870, -76, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -36, 1, 3, 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1763381555 divided by -5\nAnswer: -352676311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34693 is divided by 570.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -93 + 95. Calculate the greatest common factor of l and 256.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268725*v - 268675*v = 900 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2369625047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvjjjyvjvvjvsvvyj. What is prob of sequence ysy?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o + 2. Let w(j) be the first derivative of -13*j**2 + 10*j + 18. Give -16*n(v) + 3*w(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30175 - -45494. What are the prime factors of o?\nAnswer: 15319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5745b + -23?\nAnswer: 57438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -111. Let v(a) = a**2 - 18*a - 30. Let y be v(20). Calculate the greatest common factor of w and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.154 to zero decimal places.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + -31.013. Let i = 0.01358 + c. What is i rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7871, -15940, -24009, -32078?\nAnswer: -40147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 446140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14291971, 14291970, 14291969?\n\"Answer: -y + 14291972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-595)\/21)\/17\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssqsqsqsssssqsqs. What is prob of sequence qssq?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 28687*y**2 - y - 28684*y**2 + y. Let o(b) = 12*b**2. Give i(o(t)).\nAnswer: 432*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 289825913 to the power of 1\/4, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -143207*n - 1145643. Determine k(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 16*h**2 - 41. Let d(u) = -3*u**2 + 8. Give 11*d(p) + 2*n(p).\nAnswer: 2*p**3 - p**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*x - 2172, -3*x + 1328 = 25*g - 20*g. List the prime factors of x.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 2*o**2 + o - 1. Let p be r(2). Let c be (p - (-2 - -2))*-70. What is c rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vcv when three letters picked without replacement from {v: 3, c: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7*i = -3*l + 230, -60 = -l - 2*i. Suppose -c - c = -l. Suppose -g = 4*j - c, 15 + 17 = 4*j + 4*g. Solve -6 = 3*z + j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324055 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 2*k**5\/15 - 17*k**2. Let z(j) = 3*j. Calculate g(z(r)).\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r. Suppose 0*f = -4*f + 3*z + 11, z = 2*f - 5. Let p(s) be the first derivative of -3\/2*s**f + 0*s - 3. Calculate p(l(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 n when four letters picked without replacement from {n: 6, j: 13}?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -22. Let k = -17 + o. Let b be (k\/20 - 0)*-1. Is 1 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(1\/2)\/q))**(-35)\/(q\/q**2*q*q**(-1)\/q))\/((q*(q*q**5)\/q*q\/(q*q**(2\/13)))\/(q**(1\/3)\/q**(-2))) assuming q is positive.\nAnswer: q**(-1483\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 376 and 773432?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3866*j + 257*j - 1384*j + 806*j.\nAnswer: -4187*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31056 + 160562?\nAnswer: 221651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/281 + -1114\/1405. Suppose 0 = 3*z - 10 - 2. Let u = -225 - -225. What is the closest to u in i, -1\/3, z?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1350054 - -125?\nAnswer: 1350223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 12 = -3*n, 28 = 6*b - b + n for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44195 is divided by 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/sqrt(4) + sqrt(21))\/sqrt(7) + 2 - (1 + (sqrt(72)\/sqrt(2))\/sqrt(12)))**2.\nAnswer: 2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from epcpeepeppptppt.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87 - 81. Solve -2*b + o*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18*((-1)\/(-2))\/1. Calculate the highest common factor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*y - 37*y + 654*y - 240*y - 89.\nAnswer: 394*y - 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04868878333 + 0.64838?\nAnswer: 0.59969121667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 o when four letters picked without replacement from oobobbooobbbb?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 13 + 12 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 413580 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = m - 3*k, -2*m - 4*k + 12 = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 172*j - 2208. Give h(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -6340\/772531 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -41*r - 2041. Calculate v(-50).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2. Suppose 7*g - 9 = 12. Let t(s) be the second derivative of 2*s - 2\/3*s**g + 0 + 0*s**2. Give t(o(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-108)\/(-26) - (-8)\/(-52). Suppose 2*m - c*x - 4 = 0, -m - 3*x + 6 = 2*m. Suppose r - m*q = 2*q + 52, q = -2. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 202210220011?\nAnswer: 202210212222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16370 (b) 17 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(9 + (-2)\/1). Suppose 3*y - 100 = -2*y. Let w = y + b. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -261, 0.3, 0, -150, -7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 7*d**2 - 14*d - 4. Let b be p(-4). Solve -v + r + r + 3 = 0, -2*v - 10 = b*r for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1165970287.\nAnswer: 61, 1223, 15629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 18. What is the remainder when 47 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -17*t**2 - 3*t - 2. Determine g(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**4\/4 + 3*m**3\/2 - 5*m + 4. Let d(i) be the first derivative of l(i). What is t in d(t) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229526910.\nAnswer: 2, 3, 5, 37, 68927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 683*m**2\/2 + 1252. Let s(x) = 2*x**2. What is h(s(q))?\nAnswer: 1366*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**3 + 0 + 0)*(0*w + 0*w + 6*w**2).\nAnswer: -24*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -211357, -422716, -634085, -845470, -1056877?\nAnswer: -1268312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677437 a multiple of 909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*266385.\nAnswer: 79915.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvr. Give prob of picking 2 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17180, -17171, -17064, -16859, -16556, -16155?\nAnswer: -15656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -11. Suppose -j*v + 7*v - 4 = 0. Solve 0 = v*i + 3*i + 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10546 (base 10) to base 7\nAnswer: 42514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + 1*(sqrt(70) - sqrt(70)*-2) - sqrt(70))\/(sqrt(30)\/sqrt(3)*-3)*1 - (sqrt(189)\/sqrt(3)*-6 + sqrt(63))\/(-5*-3*sqrt(9)).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*z = -142*z - 96. Let l(x) = -14*x - 222. Let a be l(z). Let u(c) = -6*c - 4. What is u(a)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 15. Suppose -5*d + 27 = 3*n - 2*d, j*n - 2*d = 26. Is n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**5\/4 - 17*z**4\/16 - 13*z**3\/4 - 7*z**2\/8 + 5*z\/2 - 3. Let s(u) = 0. What is u?\nAnswer: -1, 2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-6) - 6)*(-9 + 4)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2 + 2*y)*(-11*y + 16 - 5*y + 14*y).\nAnswer: -4*y**2 + 30*y + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -40*m + 62. What is c(16)?\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - d + 21 = -3*c, -3*c = d - 61. Suppose -2*w + 2*z + 14 = 0, -2*w = -3*z - 23 + 4. Sort c, w, -5.\nAnswer: -5, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-7))\/(-6))\/(415\/581)*155?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -16*t**2. Let b(i) = -1183*i**2. Let s(r) = 6*b(r) - 442*u(r). Let g(x) = 3*x. Give s(g(z)).\nAnswer: -234*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83524 and 304.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 2*r - 2*g - 17, 16 = -4*g. What is the least common multiple of r and 35?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 3*n**2 - 4*n - 1. Let y be a(-4). Let g = 43\/4 + -11. Which is greater: y or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12295 (base 10) to base 8.\nAnswer: -30007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*s + 2*p - 204, 71*s - 71*s + 2 = p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 3108990453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8413*h - 8413*h - 2*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, c: 16}. Give prob of sequence tttt.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 0*r**2 + 0 - 25\/6*r**3 + 120*r. Let m(n) be the second derivative of n**4\/6 - n. Give m(s(y)).\nAnswer: 1250*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000113 rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 3 - 1 - (9 - (39 - 47)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52146 (base 8) to base 13.\nAnswer: -9ab0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 24*u - 60. Let n be y(-30). Let q = -115 + n. Solve -h = -2*g - q, -4*h + g - 2*g = 16 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-8))\/((-15)\/1300))\/((-1645)\/5922)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m - 4. Let d = -5 - 2. Let f be p(d). Suppose 0*k = -2*k + f. Let w(h) = -h. Let u(i) = -4*i - 1. Determine k*w(y) - u(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.17 - 0.08. Let h = i - -0.11. Which is bigger: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2099456747.\nAnswer: 7393, 283979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -2 (c) 25.46 (d) 2\/541\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3057, -11191, -24729, -43671, -68017, -97767?\n\"Answer: -2702*a**2 - 28*a - 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -1\/5, -2\/11, -28.6362.\nAnswer: -28.6362, -3\/2, -1\/5, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 29492.39 minutes?\nAnswer: 1769543400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - -1 - -17) + -7\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 2*h + h)*(-4*h + 2*h + 4*h) + 8 - 13*h**2 - 8 + (-h - h + h)*(3*h - 2*h + h).\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 53 = 3*n, 3*l + 6 - 32 = -n. Suppose 10*r = 11*r - n. Calculate the remainder when 31 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/4? (a) 5 (b) -1\/4 (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 v, and 1 r when three letters picked without replacement from zvbviirzzoziiov?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4340 at least -138915\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1480)\/(-84) - (-92)\/(-322))*(-6)\/4.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -1642*p + 37205. What is m(23)?\nAnswer: -561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-38)\/(-14) + (-6)\/(-21). Suppose 0 = 4*n - 3*y - 116, -s*n + 66 = 5*y - 50. Let u(g) = -7*g**2 + 32 - n. Determine u(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -8*u**2 - 2*u. Let z(y) = 392*y. Calculate z(k(o)).\nAnswer: -3136*o**2 - 784*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*p**2 - 18*p**2 + 26*p**2 to a*p + w + x*p**2 and give x.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -398.4 + 322.393. Let u = 0.007 + l. Let s = u - -81. What is the closest to -8\/3 in s, -1\/11, 1?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 7*s + 9. Let y be j(8). Suppose -15 = -3*b - 2*b. Suppose -k + y = -b. Solve 3*t + 1 = -4*f, -3*f - 26 - 6 = -k*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/92822788 or 0?\nAnswer: -5\/92822788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -2. Let t = w + 13. What is the greatest common factor of t and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -5, -38, 5, -4, 2 in decreasing order.\nAnswer: 37, 5, 2, -4, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94 - 66. Let y be (-2)\/4 - (-31)\/2. Suppose 0*i - i = -y. Calculate the remainder when w is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**7\/21 - 2*n**6\/5 + 11*n**5\/10 - n**4\/3 - 4*n**3 + 8*n**2 + 3*n. What is f in y(f) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 - 454*m - 11472.\nAnswer: (m - 478)*(m + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*x - 4 + 2 - 5*x wrt x?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 100 = 10*p. What is the remainder when 78 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(26 + 8 + 21)*(-2*g + 0*g + 0*g + (2 - 2 + 2)*(-g - 4 + 4)).\nAnswer: -220*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - m - 2*m)*(-m**3 - 2*m**3 + 2*m**3) + 4*m**4 - 2*m**4 - 4*m**4 + (-5*m**3 + m**3 + m**3)*(-9*m + 14*m - 3*m).\nAnswer: -9*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*l - 115 = -l, -4*h - l + 113 = 0. Let d = -25 + h. Which is the nearest to d? (a) -3\/7 (b) 0.1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44887?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 237*b**3 + b**2 - b - 1. What are the prime factors of w(1)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80606 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15\/4 (b) 2\/19 (c) -0.1 (d) -1 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 23*g = -28*g + 14, -4*t - 2*g - 4 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/7030934 and 44\/1091007?\nAnswer: 63278406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5 = -0*t. Let x(g) = 8*g**2 - 3030 + 6191 - 3161. Determine x(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 4*y - 3. Let t be c(5). Let x = -9265 - -9275. What is the derivative of -2 + t*g - x - 11 wrt g?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -15, -4 + 44 = 5*r + 5*q. Suppose 4*t + 2*m = 2856004, 2*t + r*m = 5*t - 2141994. Round t to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4 = -2*o, -26*g + 31*g = -o + 28. What is the nearest to -1\/6 in -1, o, 4\/9, 0.5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29287.01 to the nearest ten.\nAnswer: -29290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26771110 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6*z - 3*z**2 - 1 - 6 + 3*z**2 + z**2. Let m be c(7). Is m at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 5 (b) 6 (c) 1\/154\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 29 + 20 = 0. Suppose -c*a - 35 = -10*a. Solve 5 = -a*v + 5*j, -5*v - 4*j + 8 + 14 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003282 rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 119 + -170. Let b = -67 - s. Is -18 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - o = -9, -2*m - 4*o + 0*o - 24 = 0. Let l(d) = 6*d + 9. Let w(u) = -3*u - 4. What is m*l(b) - 13*w(b)?\nAnswer: 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) -5 (b) 6\/257 (c) 0.5 (d) 3\/2 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 1152565?\nAnswer: -11\/1152565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3022 + 3023. Which is the biggest value? (a) 166 (b) r (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**3 - 10*q**3 - 2*q**3 + (-3*q + q + 3*q)*(0 + q**2 + 0).\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -115\/3 - -823\/30. What is the common denominator of -61\/356 and f?\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46.2 - -771796.\nAnswer: 771749.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 59 * 0.10281\nAnswer: 6.06579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/32928 and -31\/27440.\nAnswer: 164640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 9*f - 24. Determine h(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -972540\/3347 or -291?\nAnswer: -291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 22. Let f be z\/(-9)*(4 + -1). Find the third derivative of -2*j**4 + 2*j**4 + 7*j**5 - f*j**5 - j**2 wrt j.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, l: 2}. What is prob of picking 2 l and 1 r?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 141*y + 12*y**3 - 141*y + 796*y**4 + 17*y**3 - 30*y**3 + 2 as b*y + g*y**3 + f*y**4 + n*y**2 + i and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4164803 is divided by 2784.\nAnswer: 2723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5488 - 4*z - 5*z - 112*z**2 + 5489 - 15*z**3 + 8*z**3 + 4*z**3 to s*z**3 + d*z + y + n*z**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36, 125, 232, 327, 380?\n\"Answer: -5*a**3 + 39*a**2 + 7*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2. Let i = 11 - 32\/3. Let r(n) be the first derivative of 0*n**2 + 0*n + i*n**3 + 1. Give j(r(m)).\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 1271.9.\nAnswer: 635.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in 997, -1\/38, -2?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 5.683192148.\nAnswer: 6.083192148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10c4 (base 15) to base 2\nAnswer: -110111100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 10:23 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/15)*g)\/(g\/(g*g**(-7)*g)) assuming g is positive.\nAnswer: g**(-77\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m + 70 = -5*y, 0 = 3434*m - 3435*m + 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-13044)\/21 - (60\/14 + -4). What is the highest common divisor of 135 and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dodddddddo. Give prob of picking 2 d.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 131028719\/2 = 65514359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/18144*24 - 307\/(-9)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1232 - -212101111?\nAnswer: 212103003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 437, 448, 471, 512, 577?\n\"Answer: t**3 + 4*t + 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1121, 5, 0.11, 33?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -25*w**2. Calculate p(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n - 6*n + 45 = 4*q, 2*q = -4*n - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i + 0*i - i**2 - i. Suppose 70 = -3*t - 2*t. Let s be 4\/t - (-57)\/(-21). Let d(u) = -2*u**2 + 2*u. What is s*n(w) + 2*d(w)?\nAnswer: -w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3024363800 to the nearest one million.\nAnswer: 3024000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w - 12. Let v be u(9). Let c be v\/(-1) - (1 + -3). Suppose -5*f - 15 = -5*q, 0 = -c*f - 6*q + 2*q + 3. Put -2\/11, f, -4 in decreasing order.\nAnswer: -2\/11, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0*x\/x**10)\/(x**(-3\/5)*x**(-8)) assuming x is positive.\nAnswer: x**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 33 = -407. Let q = 45 - k. What is the remainder when q is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -a - 5 + 1\/2*a**2. Let w be k(-4). What is the closest to 0.2 in -2, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111110001 (base 2) to base 10.\nAnswer: -1009","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 - 14 + 38)*(4*n**4 + 0*n**4 - 2*n**4) + 9 + 14*n**4 + 1984*n**2 - n**3 - 1984*n**2 to the form t*n**4 + l*n**2 + u*n + p*n**3 + r and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1583 - -3.8417. Let s = 215\/4 + -54. Let w = 0.52 - 0.02. Which is the second biggest value? (a) -3 (b) s (c) y (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-147)\/(-35))\/(-7)*-5. Solve 9 = -o*k + d, 4*k - 3*k - 4*d + 3 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -6. Sort 3, p, 2 in decreasing order.\nAnswer: 3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-15))\/((-6)\/15)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 0 + 6721\/4 + (-40)\/160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/110 - (-114)\/22. Suppose s*k = 3*k. Solve g - 5*g + 3*x - 17 = k, -2*g - 2*x = 12 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/3))**(-10\/7)\/(j**(-2\/17)*j**(-4)) assuming j is positive.\nAnswer: j**(1300\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -97?\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -4*u**4 - 60*u**3 - 288*u**2 - 560*u - 384 = 0.\nAnswer: -8, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z. Let t(s) = 5*s + 13. Let o(h) = 3*q(h) + t(h). Let m be o(-5). What is the second derivative of -3*c**5 + 21*c**5 + 16*c + 4*c**m - 4*c**3 wrt c?\nAnswer: 360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 take away 2756.65?\nAnswer: -2763.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 895 (b) -29\/6 (c) -117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 297, 546, 799, 1056, 1317?\nAnswer: 1582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -98\/3 + 499\/15. What is the second biggest value in -1\/2, f, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3708505 to the nearest integer?\nAnswer: 1926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 11\/32?\nAnswer: 11\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -40. Suppose r*w - 23 = d, 3*w + 44*d = 43*d + 19. Solve 3*p + w = -3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -49)*(-26)\/(-91) - 4. What is the third derivative of 147*l**6 - b + 9 - 37*l**2 + 23*l**2 wrt l?\nAnswer: 17640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 - 20*z + 24. Determine o(-4).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 + p**2.\nAnswer: -p**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 6) to base 5\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1860 and 6889161?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -26 + (-5340)\/(-165) + -6. What is d in 0 + 24\/11*d**4 + 0*d + 10\/11*d**5 + g*d**2 + 18\/11*d**3 = 0?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 42276*y - 142723 wrt y.\nAnswer: 42276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -4, -28.4?\nAnswer: -28.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -9*f - 329. Calculate q(-36).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 3*r**4\/4 + r**3\/3 + 5*r**2. Calculate the remainder when l(2) is divided by 2\/(-10) - (-1120)\/100.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-310)\/620 + 2\/4 + 0. Let c(v) = -130*v**2. Let u be c(-1). Let w = -654\/5 - u. Which is smaller: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/((-3)\/((-27)\/(-6))). Let o = 3 + -1. Let f be (o + -1 - 0)\/(-2). Which is the closest to -1\/2? (a) 1 (b) h (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70023.7 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -1 + -2 - -1. Suppose m = 2*n - 0*n - 6. Suppose -n*g + 365 = -d, -6*g + 476 = -2*g + 4*d. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 10*u**2 - 45*u + 2. Calculate m(-4).\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1228 or -1250?\nAnswer: -1228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8460cb - 19?\nAnswer: 8460b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4146 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 5b?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 42*i**2 - 37*i + 72. Determine u(-41).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 658.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -2322231103121?\nAnswer: -2322231103132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 114 + -114. Suppose q = 58*d + 17*d - 150. Factor -2\/3*s**d - 200\/3 - 40\/3*s.\nAnswer: -2*(s + 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*w**3 + 21*w**3 + 26*w**3.\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (1 + 3)\/(-4). Let m be s\/6 - (-112)\/(-12). Let c(r) = r**3 + 11*r**2 + 4*r - 14. Is c(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 + 350 = 5*p. Let t = p + -62. Let o = t - -42. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/30 and 31\/(-186)*(-278)\/(-8)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 + 0.4. Let k(t) = -t**3 + 10*t**2 + 15*t - 2. Let y be k(12). Let d = y + 105. What is the nearest to x in 0.2, d, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -546 divided by -6.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y - 16. Let b be l(6). Suppose -12*c + 12 = -b*c. Suppose -3*x = -3*t + 2643, 0 = 4*t - 0*t + c*x - 3510. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -1012*w**2. Let g(z) = 2*z + 6. Let q(p) = -3*p - 8. Let h(l) = 4*g(l) + 3*q(l). Calculate r(h(o)).\nAnswer: -1012*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2645 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -124 + 5?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7060808 decades in centuries?\nAnswer: 0.07060808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-18)*(570\/(-220))\/(-19)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57704 = -3197*f - 809*f + 946*f - 83056 for f.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*s**3 + 4776*s**2 + 99072*s - 497664 = 0 for s.\nAnswer: -48, 54\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1592 and 889536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28732412 divided by 51677.\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from {b: 4, n: 2, r: 7, w: 3, s: 3}.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 886 and 5?\nAnswer: 4430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14952443 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2022563496?\nAnswer: 2, 3, 113, 131, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 213.556178 take away 173923?\nAnswer: -173709.443822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33734915 is divided by 845.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9233054*n**2 + 9233054*n**2 - 56*n**3 + 83*n**3.\nAnswer: 27*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, -16.\nAnswer: -16, -6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -97*x**2. Let p(g) = 6*g + 5. Let n(v) = v + 1. Let i(t) = -10*n(t) + 2*p(t). Give i(o(k)).\nAnswer: -194*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10233 + 0?\nAnswer: -10233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113 + 113 - 12*p**2 - 36*p**2 + 46*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4023 is divided by 139.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-480)*10\/(-1)*4\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1511.\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6768 is divided by 483?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 58395136 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 5*z + 50 = 0, -9490*z = 5*r - 9488*z + 4 - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -193*a**2*g**2*n**3 + 3*a**2*g**2*n - 2*a**2*g*n**3 - a**2*g*n - 10*a**2*g + 2*g*n**3 wrt g?\nAnswer: -386*a**2*n**3 + 6*a**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.19815652 and 5769?\nAnswer: 5768.80184348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/((-12177)\/574)*6\/(-14).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/3, -205, -69 in decreasing order.\nAnswer: 7\/3, -69, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1278495*d*i*z + 137*d*i - 37*i + 7309856*z with respect to d.\nAnswer: 1278495*i*z + 137*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 216496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, -2\/286635, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -76*o + 40. Calculate l(2).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, -3, 5 in increasing order.\nAnswer: -6, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6982 * -7.888\nAnswer: -55074.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*sqrt(405) + 2 + 0)*5.\nAnswer: -270*sqrt(5) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 149*v + 154*v - 3, 15 = 5*v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 232 (b) -0.5 (c) -3\/19 (d) 67 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 4*k + 12. Let b be x(6). Suppose 0 = 2*c + 3*t - 27, c + 0*c - 3*t + 9 = b. Calculate the remainder when 23 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*u + 2*w + 3, 0 = -4*u - w + 1. Suppose u = -0*k - 5*k + 270. Suppose f = -2*f + k. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010010 - 100?\nAnswer: 101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**4\/12 - 5*m**3\/2 + 5*m**2\/2 + 47*m. Let q be v(11). Is q greater than -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, b: 2}. What is prob of sequence rrr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from asxcxxhx. Give prob of sequence xcxs.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*m - 9 = 0. Suppose 5*j - 95 = 2*w + 6, -3*j = m*w - 69. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1598, 3318, 5038, 6758?\n\"Answer: 1720*u - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 0*h - 1 + h**2 + 1. Is 2 a factor of c(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/7 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100 - 100.084. Let d = a - -0.34. Let h = d - -0.06. Round h to two decimal places.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (90\/27)\/((-4)\/(-6)). Suppose -u - 5*p = 25, -5*u + 18 = -m*p - 7. Suppose 4*s + 254 - 1098 = u. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 21. Suppose 0 = -5*o + y*o + 8. Suppose -2*b = -2, 26 = o*d - 3*d + 5*b. Is 18 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77680296 and 1020888?\nAnswer: 854483256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 15*t**2. Let n(h) = h - 9. Give n(s(l)).\nAnswer: 15*l**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 4*p**2 + 10*p + 9. Let a be m(-8). Let b = a - -464. Let y be b\/10*(-2640000)\/9. What is y rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p + 22568 = -60922. Does 121 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 25 = -2*d, 3*n + 3*d - 20 - 4 = 0. Suppose 3*s - 42 = n*w, 3*w = w + s - 30. Let u = 18 + w. Solve 0 = -4*k + u*k - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*i + 2*i - 419 = 0, 0 = -5*i. Is k a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + r + 1. Let a be ((-9)\/6)\/(1\/(-2)). Is d(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*q - 8 - 11 - q**3 + 19 to r*q + p*q**3 + j*q**2 + v and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + 21. Calculate the remainder when (-10)\/4*(-5)\/50*584 is divided by r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -n + 96. Find the second derivative of -2*x**4 - 3*x + 24 - n wrt x.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4099*y + 4121*y = -22 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/382 and -93\/2.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -z + 6*z - 112, 3*j + 9 = 0. Let l = -4 + 4. Solve -3*x - x + z = l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -722 + 725. Let o(x) be the first derivative of 3\/4*x**2 - 1\/2*x**b + 9*x - 14. Suppose o(j) = 0. Calculate j.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -28*r - 3 + 4*r**2 + r**3 - 3 + 3 + 22*r. What is g(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 309636 divided by -1.\nAnswer: -309636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 - -1611?\nAnswer: 1625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.185 + 2.38. Let n = 5.195 - x. What is the nearest to -2\/17 in -5, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-11)\/1)\/((-1 - 1)\/2). Is j smaller than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, j: 4, k: 1, u: 5, b: 1, q: 1}. Give prob of picking 1 q, 1 i, and 2 j.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k*(((k**(-1\/4)\/k)\/k)\/k)\/k))**5)**(-7\/2))**(2\/29))**(-29) assuming k is positive.\nAnswer: k**(595\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82612 and 1682.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1092 (base 15) to base 8\nAnswer: -6670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109089 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 236, 1046, 2428, 4382, 6908, 10006?\n\"Answer: 286*s**2 - 48*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2564, -2573, -2594, -2633, -2696, -2789, -2918?\nAnswer: -3089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-816)*-15)\/((-10)\/(-16)).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 380885410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18450 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121980 is divided by 5303.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6*k - 4. Let b(r) be the second derivative of r**3\/6 - r**2\/2 - 12*r. Let v(t) = 4*b(t) - p(t). Let h(o) = -2*o. Give v(h(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - r - 12 = 0. Let x(d) = -d + 5. What is the units digit of x(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c + 72 = -6*c + 4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 107999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x + 23 + 10*x - 6*x**2 + 10*x. Let o(p) = 1497*p - 1531. Let v be o(1). Let s(h) = -h**2 + 3*h + 4. Calculate v*s(i) + 6*j(i).\nAnswer: -2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1121 + -1121.00656. What is s rounded to 4 decimal places?\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 74 = -3*u, 0*n = 4*u + 2*n - 142. Let f(m) = 2 + 2 + 6 + 6 - u*m. Is f(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/10 + (-754)\/130\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 833 is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/2)*t)\/(t\/(t\/(t*((t**(-2\/9)\/t)\/t)\/t)))*((t**(-2\/7)*t)\/t)**(-12\/17) assuming t is positive.\nAnswer: t**(8405\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 53.267 * 0.03283.\nAnswer: 1.74875561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -597, -1214, -1869, -2562?\nAnswer: -3293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1043 - 1038. Put 16, -3, s in descending order.\nAnswer: 16, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 12:20 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 10050.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 3. Let m = w - 2. Let r = 1.6 - -0.4. Which is the closest to m? (a) -0.5 (b) r (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 22808763, 91235065, 205278903, 364940277, 570219187?\n\"Answer: 22808768*x**2 - 2*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 18200*h - 18200*h - 474*h**2 as s + g*h + l*h**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 435, 875, 1315, 1755, 2195, 2635?\nAnswer: 3075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -7*h**4 - 272*h**3 + 4*h**2 + 129*h - 2. Let g(v) = v**4 + v**3 - v**2 + v. Let k(z) = 4*g(z) + w(z). What is the second derivative of k(d) wrt d?\nAnswer: -36*d**2 - 1608*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 255 and 61710.\nAnswer: 61710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-18) + 205\/30. Let q be ((-2)\/(-5))\/(s\/(-595)). Let b = -34 - q. Solve -k + 3*k - 4 = b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8109555 nanometers to kilometers.\nAnswer: 0.0000000000008109555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 259 + -256. Find the second derivative of -o*r**2 - 42*r**3 + r**2 - 74 + 297*r**3 + 2*r + 2*r**2 wrt r.\nAnswer: 1530*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 o, 1 q, and 1 p when four letters picked without replacement from {p: 2, u: 2, o: 1, d: 1, q: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36390256 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**4 - 40*x**3 - 132*x**2 - 144*x.\nAnswer: -4*x*(x + 3)**2*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*t + 2, -36 = -3*r - 4*t - 2. Suppose -4*a = -r*a + 8. Is (30 + 4)\/(a\/14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 2. Let t = -0.9 + 0.3. Let d = t + 1.6. Which is greater: y or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -20*f**2 - 35*f + 227. Calculate g(9).\nAnswer: -1708","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19929067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 2b95472?\nAnswer: -2b95473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1307092.\nAnswer: 2, 326773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00019607427 rounded to 6 decimal places?\nAnswer: -0.000196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23210890723 - -5.2.\nAnswer: -23210890717.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 19543\/(-190)*50\/(-420). Let j = 43\/266 - f. Find the common denominator of -1 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19054389.\nAnswer: 3, 97, 65479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r**3 - r**2 - 3. Let x(w) = -9*w**3 - 2*w**2 - 5. Let f(k) = 7*t(k) - 4*x(k). Suppose -33*c + 28*c = 0. Give f(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0 (c) 5\/62 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5077 is divided by 127.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1209536*p**3 + 2*p**2 - 785743 wrt p.\nAnswer: 3628608*p**2 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/r**(1\/7)*r**(-2)*(((r\/r**(4\/5))\/r)\/r)\/r*r\/r**(-4\/11)*r assuming r is positive.\nAnswer: r**(-223\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.2, -9\/14 in increasing order.\nAnswer: -9\/14, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 97125.45 millennia?\nAnswer: 97125450","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -711 + 696 = 3*f. What is the smallest value in 7, -4, f, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l*l**(-3\/2))\/l))\/l**9)**(-34) assuming l is positive.\nAnswer: l**221","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-22 + -10 + 43 + 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 69*l**5\/10 - 2*l**4 - 3*l**2\/2 + 7*l - 4. Find the third derivative of u(y) wrt y.\nAnswer: 828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 1\/4*n**4 - 3*n**2 + 0 + 15*n + 2\/3*n**3. Let z be h(2). Solve z = -2*a + 4*y, -3*a + a + y = 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.237002809 - 13.237. Round v to seven dps.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37492813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b = 17*b. Suppose 0 = -4*s - 8, -s - 34 = -4*m - b*m. Let l(f) = -f**2 - 11*f - 4. Calculate the smallest common multiple of l(-8) and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 2*q - 10, -23*k + 21*k + 5*q + 11 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2681424 and 481464.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 100291699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s**2 + 76*s + 3 - 29*s - 3 - 11*s**2 in the form z + k*s**2 + u*s and give u.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s**4 - s**4 + 0*s**4)*(-1 + s + 1) + 0 + 0 + s**5 + (3*s**2 - 5*s**2 + s**2)*(3*s**3 + 0*s**3 - 4*s**3).\nAnswer: 7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 50 = 3*q. Let b = 33 - q. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*g - 3. Suppose 15\/4*s + g*s**2 + 3\/4*s**3 + 3\/2 = 0. What is s?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 6*g**2 + 4*g + 8. What are the prime factors of q(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1033209*o**2 + 551984*o wrt o.\nAnswer: 2066418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (7 - ((-4 - 1) + 11) - (14 - 10)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**2 + 2*d**2 + 4*d**2)*(2 - 1 + 1)*((4*d + 4*d - 6*d)*(1 - d - 1) - 4*d + 4*d - d**2).\nAnswer: -6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.324 * -119.\nAnswer: 157.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 2*j**7\/21 + 5*j**6\/2 - 77*j**3\/2 - 3*j - 172. What is the second derivative of d(q) wrt q?\nAnswer: 80*q**3 + 900*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**3 - 3*s**2 - 3*s - 11. Let v(g) = -6*g**3 + 7*g**2 + 7*g + 23. Give 7*h(b) + 3*v(b).\nAnswer: 3*b**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**4\/3 - 364*d**3 + 1452*d**2 - 4352*d\/3 = 0.\nAnswer: 0, 2, 1088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1 + sqrt(1573))*4 + (sqrt(1573) + -1)*3 + -1 + 5 + sqrt(1573)*1 + 3 + sqrt(1573) + -2)**2.\nAnswer: 1188*sqrt(13) + 127451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-61)\/(-4) - 12\/(-16). Let r = -1 + y. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -69*z - 4. Let i(q) = -q**2. What is u(i(x))?\nAnswer: 69*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -210065 times 614\nAnswer: -128979910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1231128 is divided by 365?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 13. Let w(k) = -6*k - 68. What is 2*w(c) - 11*y(c)?\nAnswer: -c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*k**3 + 31*k**2 + 5*k**2 - 56*k**3 + 28*k**3.\nAnswer: -2*k**3 + 36*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*m - 154 - 222 = 0. Solve 3*x + 2 = 2*t + m, -5*x - 9 = 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -15\/46, 0.09, 0?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2 - 1 - 3 + 8*c. Suppose -4*k - 62 = 3*i - 5*i, -5*i + 1 = k. Let p(u) = 3*u - 2. What is k*p(n) + 5*b(n)?\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 143*i**2 + 398*i + 52 - 3*i**4 - 59*i**2 - 1200*i + 400*i + 400*i wrt i.\nAnswer: -36*i**2 + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.497096 rounded to 1 dp?\nAnswer: -31.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + n + 7 - 2 in the form b + o*n and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-9 + 2 + -8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120112100122200 + 2?\nAnswer: 120112100122202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6*1\/2 + -3)\/(-1). Suppose v = 3*x + 14 + 10. Let i be x*115\/(-30) - (-4)\/(-6). What is the greatest common divisor of 15 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-20)*5\/3. Let v(h) = h**3 - 2*h**2 - h + 4. Let g be v(u). Suppose 344 = 4*r - g*m, -r - 2*m = 2*m - 68. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s**3 + 142*s**2 - 57*s + 30. Let y be m(28). Solve 24 = -5*p + y*c, 4*c - 2 - 6 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 167863813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 6*y + 35. Let h be z(-11). Let u = -85 + h. What is the remainder when 47 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3010 and -0.042 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.15 - -1356.\nAnswer: 1361.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68\/(-51))\/((-4)\/3*2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 32. Suppose i*j + 20 = -2*j. Let d(h) = 26*h**2 - h - 2. Is d(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -202202222120210?\nAnswer: -202202222120211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/3))**(-1\/22))**(-12)*s**(-6\/11)*s**(-9)*s**(-1)*s*(s*s**(-2\/5))\/s assuming s is positive.\nAnswer: s**(-567\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -201.391807 and -0.24428?\nAnswer: 201.147527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32638 + -2088873\/64. Find the common denominator of k and 99\/256.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20.368 - -0.09.\nAnswer: -20.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 - z**3 + 0*z**3)*(26 + 4*z - 46 + 19).\nAnswer: 4*z**4 - z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 - 58 + 3*f**2)*(2 - 2 - 2*f) + f**3 - f + f + (4*f + 2*f**2 - 4*f)*(5*f - 4*f + 0*f).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 - 31 - (7 - (-5 + 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94\/3*((-262)\/(-4) - 4)?\nAnswer: 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55 - 61. Let j(x) = 2*x - 2*x + x**2 + 4*x + 1 - 5. What is j(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2502, -2502, -2500, -2496, -2490, -2482, -2472?\nAnswer: -2460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 16*x**2 + 6*x + 75. Let y be q(-6). Which is greater: y or -2.8?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*c*p + 10*c*q**3 - 30*p*q**2 + 4*q**3 with respect to c.\nAnswer: 8*p + 10*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 - -69. Let j = -40 + 23. Let h = s + j. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18886869633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1771 + 1772. Suppose -5*y = 3*i + 147, 15 = -5*y + 3*i - 108. Calculate the smallest common multiple of 2 and ((-12)\/36)\/(f\/y).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8536623*d**3*x**3 - 19*d**3*x - d**2*x**2 - d**2*x - 335*d*x**2 - 12 wrt x.\nAnswer: 51219738*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 8*p - 30. Let b be d(-11). Solve -m + 8 = b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 127414 divided by -266\nAnswer: -479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17682?\nAnswer: 2, 3, 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (57 - (-4158)\/(-84))\/((-3)\/(-2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81033\/14 + -5784. Find the common denominator of t and 6\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 + 2*h**3 + h**3 + (0 - 3 + 2)*(2*h**2 + 1 - 1)*(40685 - 40685 + 222*h)*(4 - 12 + 20) in the form l*h + u + b*h**3 + r*h**2 and give b.\nAnswer: -5327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7033.918 weeks in hours?\nAnswer: 1181698.224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 6:24 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 572 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000176957 rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 39\/((-6)\/32*-4). What is the highest common factor of g and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 10*g - 43. Suppose -4*s - 36 = -g*i, 2*s - 19 = 3*i - 57. Let m be (-2 + -26)*(-5)\/2. What is the highest common divisor of i and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + -49 + -29 - -161?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(8)*-2)*5.\nAnswer: -5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -4364?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4094375179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2750 + -1552. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43 by 43.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 l when three letters picked without replacement from {l: 6, o: 2, b: 4}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.4 (c) 5 (d) 1.1 (e) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 158\/3, 25, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -1229, -4.0976?\nAnswer: -4.0976","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -27721.8147 minus -376?\nAnswer: -27345.8147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1820 and 99.\nAnswer: 1919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 74 = 4*t + 5*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -10.91?\nAnswer: -2.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 0 in decreasing order.\nAnswer: 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48864*s*y - 24035*y with respect to s.\nAnswer: 48864*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2. Let s(g) be the third derivative of 47*g**4\/24 + 56*g**2. Give s(p(b)).\nAnswer: -47*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14176797 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**2 - 8*s - 1 - 1\/4*s**4 + 2*s**3. List the prime factors of g(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 12*h**3 + 6*h**2 - 8*h - 8. Let z(k) = k**3 - k - 1. Let n(i) = -q(i) + 8*z(i). What is the third derivative of n(s) wrt s?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (118\/3245)\/(2\/(-10))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5, 3*v - 6*v - 61 = j. Let f = 23 + v. Let y(x) = -x**2 - 10*x - 3. Let t be y(-4). What is the highest common divisor of t and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100100 (base 2) in base 13?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -14. Suppose -4*d = -u + 2 + 1, 0 = -2*u + 3*d - 9. Let z = g - u. Solve z*m - 29 = -9 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 8*y**2 - 5*y - 5. Let i be p(7). Suppose 0 = -i*d + 343*d + 8424. Does 104 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -5*d + 3*n, -223*n + 220*n = 3*d + 27 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -6*j - 168. Let c = j - -29. Solve 3*p = 2*a + c, 0 = 2*p + a - 3 - 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/49, -38344, 6\/37.\nAnswer: -38344, -1\/49, 6\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(50) + 0 + -4)*-6 - (5 + 3*1*sqrt(242))**2*-3.\nAnswer: 1050*sqrt(2) + 6561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 1:33 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -3, 14 in increasing order.\nAnswer: -3, 0, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11 + -9)\/((-63)\/(-18)). Let q be (-2 + (-3)\/(-2))*-1. Which is the nearest to -1? (a) -0.1 (b) q (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 1. Let w(m) = -4*m + 1. Calculate 3*f(t) - w(t).\nAnswer: 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1970 - 14?\nAnswer: 1959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -293*u**2 + 13*u - 3. Let l(b) = 877*b**2 - 36*b + 9. Calculate 4*l(i) + 11*s(i).\nAnswer: 285*i**2 - i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and 0.0028?\nAnswer: -0.0364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one quarters of a tonne?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 11*d**2 + 3*d + 4. What is the units digit of s(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*d - 12 = 0, 0 = -2*n - n - 4*d - 12. Suppose n*v - 8 = -4*v. Find the third derivative of -3*k**4 - k**4 - k**v - k**4 wrt k.\nAnswer: -120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(55)*-2)\/((sqrt(80) - sqrt(80)*-2) + sqrt(80)) - (-4*sqrt(176)*2 + -2).\nAnswer: 2 + 127*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*c - 57*c + 5100. List the prime factors of c.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21391971.999684 - -21391797. Let w = 175 + k. Round w to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 1*19\/9. Let z = 115 + -39. Let l = z + -72. What is the third biggest value in f, -0.4, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30113564.\nAnswer: 2, 13, 579107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**4 + 39*y**3 - 84*y**2 + 43*y - 7. Let w(l) = l**3 - 2*l**2 + l + 1. Let v(i) = -2*n(i) - 14*w(i). Factor v(k).\nAnswer: -4*k*(k - 1)**2*(k + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -645.27 + 0.03344949?\nAnswer: -645.23655051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10203 is divided by 3327?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 25 + (-210)\/14 + 8\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 4. Let c be o(11). Suppose c*l = 2*l + 50. Calculate the greatest common divisor of 90 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 21, 33?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i - 1 = 4*r, 0 = 3*r - i + 6. Let n(y) = 12*y + 32. Let b(x) = 17*x + 50. Let g(t) = 5*b(t) - 8*n(t). Let k be g(r). Solve c + k = 6*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/638 and 99\/232.\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -110 + 881\/8. Let s = 649 - 368. Let p = -279 + s. Which is the fourth smallest value? (a) 1 (b) p (c) w (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c - 7*c + c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 347215 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/4 and -141\/2660.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2064 greater than or equal to -76358\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4596004, -4596002, -4596000, -4595998, -4595996?\nAnswer: -4595994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -233545 divided by 3.\nAnswer: -233545\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h - 3 - 4 + 5)*(-77893380 + 0*h - 2*h + 77893160) in the form x*h + f*h**2 + s and give s.\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from {m: 2, j: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2486540107 to the power of 1\/3, to the nearest integer?\nAnswer: 1355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -227, -2\/15, 0.9?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182, -165, -66, 157, 546?\nAnswer: 1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71569 is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvzy when four letters picked without replacement from {c: 5, k: 4, z: 1, y: 1, h: 1, v: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 283669697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 635.784 + -643. Round o to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f - 4*g + 9960 = 25*f, -g = -5*f + 24955. Sort f, -5, -4.\nAnswer: -5, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 211008 or -0.1?\nAnswer: 211008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 40 = 3*s, d + 7 = s - 9. Suppose 0*f + 2*f - s = 0. Calculate the remainder when f is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t + 3*t + 2*t**5 - 2*t + (46*t**3 + 3*t**3 + 116*t**3)*(0*t**2 + 2*t**2 + 0*t**2) - t**5 + 3*t**2 - 3*t**2.\nAnswer: 331*t**5 + 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -243 take away 56.6?\nAnswer: -299.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 95*g + 395. Calculate the remainder when 402 is divided by f(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/13))**39*q**(1\/6)*(q*q**(-2))\/q assuming q is positive.\nAnswer: q**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 37*z = 30 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4118, 4122, 4128, 4136, 4146?\nAnswer: 4158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1, 1, -1.6, 14, -1\/302, 762?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.72246mm to kilometers.\nAnswer: 0.00003872246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 0*x**2 - 13\/6*x**3 + 0 - 6*x. Let k(y) = -y**2. Calculate k(z(t)).\nAnswer: -169*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 38661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1103?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13818173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 1 = -2*r + 5, 5 = h. Let o(g) = 12400001*g**2 + 2*g. Let t be o(r). Suppose 0 = -2*f - 2*f - t. Round f to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5329.9 - 4237. Let k = 995 - n. Round k to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8 + 26*u - 2*u**2.\nAnswer: -2*u**2 + 26*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1148\/23 in -2\/189, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-18)\/27)\/2)\/(2\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-25)*10\/4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -18 + t - 11*t**2 - t**3 - 18 - 16 + 50. Calculate x(-11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*1170854\nAnswer: 3512562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-198099)\/7917 + 325\/13.\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -28. Let k = z + 26. Calculate the smallest common multiple of k and 2 - 32\/(1*-2).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -266 - -296.6. Let g = 25 + -56. Let i = g + q. Which is the biggest value? (a) i (b) 15 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (4 - 1) + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 2*f - 3*f + 101 = -11*i, 45*i - 5*f = 46*i + 25 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -294823.6 to the nearest 1000.\nAnswer: -295000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -15141?\nAnswer: -15143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6999 + -6993. Solve 4*p - 22 = h for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = g + 4, 0 = 5*r + 5*g - 225. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 13*t - 6453 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3, -4*u = -2*k + 3598 - 276. Let j = u - -834. Solve -2*n - 2 = -f - j, 3*f + 3 = 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 829563.4 millilitres in litres?\nAnswer: 829.5634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*6\/(-15))\/(2*-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48138, -48134, -48130, -48126, -48122?\nAnswer: -48118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 6:27 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (36\/(-27))\/((-12)\/27). Suppose -5*s = -z - 14, z = 3*s - w*z - 22. Let p = -6 + 7. Solve -s*h = 5*q - 4*q - p, 0 = -3*h - 5*q + 12 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6808, -27482, -61964, -110272, -172424, -248438, -338332, -442124?\n\"Answer: -3*g**3 - 6886*g**2 + 5*g + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15680?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78 - -172. What is the remainder when -6*((-10)\/(-6) - 1) + k is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 v, 1 i, and 1 f when four letters picked without replacement from ivfbbf?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 - -87. List the prime factors of r.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 16*n - 17. What are the prime factors of j(6)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/6 + 232\/6. Suppose 4*n - q - 2 = 0. Calculate the lowest common multiple of (24\/(-10))\/((-2)\/n) and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/8*d**2 - 33\/4 + 19\/8*d.\nAnswer: (d - 3)*(d + 22)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20815, -47065, -73315, -99565, -125815?\nAnswer: -152065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2665.288 and 13.\nAnswer: -2652.288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*v - v + 1593 + 3*v + 1757*v**2 + v + 758 wrt v.\nAnswer: 3514*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412*l**2 + 1 + 0 + 206*l**2 - 1.\nAnswer: -206*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 176\/5 + -183\/5. What is the nearest to 3 in 2, 6, -0.1, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - (8 + (-10 - (8 + (-12 - -10)))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 411573851 and 27454.2.\nAnswer: 411601305.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 11:23 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3150048.59 rounded to the nearest 100000?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 + 2*s + 46 - s)*(s**4 + 7*s**4 + 9*s**4 + (2*s**3 - 2*s**3 + s**3)*(0*s - s + 3*s)).\nAnswer: 19*s**5 - 38*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**4*t**2 + 35661*d**3*t**3 - d**2 + 583*d*t**3 + 2*t**2 + t wrt d.\nAnswer: -72*d*t**2 + 213966*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45518025.\nAnswer: 3, 5, 7, 277, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2171012535 to the power of 1\/3, to the nearest integer?\nAnswer: 1295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 4, 11, -293, 14, 1.\nAnswer: -293, -39, 1, 4, 11, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 26*f + 2 - f**2 + 2*f**2 - 17*f. Let g be z(-11). Let r = 41 - g. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -a + 16. Suppose -2*n + a = 2*f, 5*f - 20 = -4*n - 0*n. What is the highest common divisor of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39080.69nm to meters.\nAnswer: 0.00003908069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4816 + 584*i - 4816 + 33*i - 70*i as y + g*i and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -44854291848 from 0.4.\nAnswer: 44854291848.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.3 in 1\/3, 2, 0.15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 5)*(2 + 2*d - 2) - d - d + d + (0*d + 0*d + d)*(-3 - 1 + 3) + 0*d + 2*d - 5*d in the form r + g*d and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 - -56. Suppose -q + 0*p = 2*p - 3, 5*q + 3*p = 15. What is the smallest common multiple of 100\/15*6\/z and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*m - 18 + 18)*(-5 + 2 + 2 + (-3 + 0 + 4)*(2 - 3 + 3) - 1 + 0 - 1)*(2 + 4 - 2).\nAnswer: -88*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(144)\/sqrt(3)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 492 - 1002. Let h = 705 + m. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225*w + 8 = -227*w. Put 2, -26, w, 0.1, 0.4 in decreasing order.\nAnswer: 2, 0.4, 0.1, w, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + u + u)*(-6*u**3 - 4*u**3 - 5*u**3 + u).\nAnswer: 15*u**4 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2*v + 1)*(-4 - 2 + 4) - 2*v - 3 + 3 + 6*v - v - 3*v + 0*v + 3*v - 5*v)*(5 + 10 + 3 + (-4 - 1 + 3)*(2 + 1 - 1) - 2 - 5 + 6 - 1 - 3 + 3).\nAnswer: -72*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand w - w - w + 2*w + w - 4*w + (2 - 2 - 2)*(6*w - 3*w - 2*w) - 2 + 2 - 3*w + (w - 5*w + 2*w)*(-2 + 7 + 0) - 1 + 3*w + 3 - w.\nAnswer: -15*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 21 - 17. Let t(d) = -18*d**3 - 2*d - 3. Let a be t(w). Calculate the greatest common factor of 17 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 9*k + 2. Let m(g) = -3*g**3 - 9*g**2 + 15*g + 57. Let p(j) = 6*h(j) - m(j). Factor p(u).\nAnswer: -3*(u - 5)*(u - 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*f = -5 + 43, 0 = u + 3*f. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -10. Let i be 0 - (0 + -1)*(y + -5). Let p = 1 + -3. Which is the closest to 2\/7? (a) i (b) 1\/2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 17, -1\/7, -6\/5, -1\/13?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -259 and -19.\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - h**2 + h - 1. Let c(i) = 5*i**3 - 18*i**2 + 3*i + 9. Let v(o) = -c(o) + 4*l(o). Let g be v(10). Let s = -282 + g. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187.33335 rounded to one dp?\nAnswer: 187.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 90915264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u**2 + 958*u + 1353. What is z(193)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c - 16. Let m be n(-13). Let x be (11 - 16)*(-1)\/(5\/m). Let k = 4 + x. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -4 - (1 - (2 + -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 31 (b) -4 (c) -2155\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*sqrt(209)\/sqrt(44)*5)**2*2.\nAnswer: 4283\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/10 (b) 0.1 (c) -0.1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 24*t + 28*t - 31, -t = 2*f - 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 110001110000?\nAnswer: -110001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -m**6\/51 - 6*m**5\/85 - m**4\/17 + 4*m**3\/51 + 3*m**2\/17 + 2*m\/17 + 5. Solve n(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 2*t - 17, 0 = -r + 4*t - 2 - 9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -1842.554.\nAnswer: -1844.554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 2*d**3 - 4*d**4 + d**3 - 10 to the form f*d**2 + y*d + j + x*d**4 + w*d**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1774, -1901, -2014, -2107, -2174, -2209, -2206, -2159?\nAnswer: -2062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 7:15 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 6702 + 6534 = 18*p for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 35*p + 35. Let i(x) = 3*x. Give i(j(s)).\nAnswer: 105*s + 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-12)*-1*(-81)\/(-405)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12722 divided by -6361\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -249 > -249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347*o + 262*o**2 - 347*o.\nAnswer: 262*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 399 and 1193\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21733580 and 248948280?\nAnswer: 2738431080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1 - 1 - 2 - 1 + (1 + 0 + 0)*(2 - 2 + 1) - 1 + 1 + 1)*(3*x**2 - x**2 + 0*x**2).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2635884622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 129*u**3 - 17*u**2 + 83*u - 3. Is g(5) a multiple of 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 105\/(-45))\/((384\/(-27))\/(-16))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-4 - 0) + 7. Suppose -u*k + k = -38. Let w = -17 + k. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1564 - 1494. Calculate the least common multiple of f and 294.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b + 21*b - 14*b. Let o(x) = x**2 + x. Give f(o(y)).\nAnswer: 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -788 in 0.5, -6\/37, -0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 82.9 - 87. Let g = 2.1 + f. Which is the nearest to 1? (a) g (b) -1\/5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -93*m. Let a(f) = -5244*f**2 + 2*f - 6. What is c(a(d))?\nAnswer: 487692*d**2 - 186*d + 558","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15459286.12999966 + -15459286. Let u = -0.13 + q. What is u rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -355*u - 702. Let h(c) = -88*c - 176. Let a(y) = 9*h(y) - 2*i(y). What are the prime factors of a(-22)?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75848391 and 45.\nAnswer: 379241955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 412861*o**2 + 126466*o**2 - o.\nAnswer: -286395*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((2*sqrt(1377) + -5 - (sqrt(1377) + 0)*6) + 3)*5)**2.\nAnswer: 10800*sqrt(17) + 1652700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 4 = -4*q, -24291*q - d = -24293*q - 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -90, -91, -92, -93?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 44 = -2. Suppose 2*z = -d + 1220, -5*d - i = 7. Is 50 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 20*s - 25*s + 8849990 = 0, -4*r + 5*s = -11800010. Round r to the nearest 100000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 541 - 541 - 2*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 255.4 less than 21?\nAnswer: -234.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*n + n - 372 = 0, 0 = 5*h - 4*n - 620. Suppose 4*c - h = -q + 1413, -4*c + 2*q + 1546 = 0. Let b = 778 - c. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 993597 or 993510?\nAnswer: 993510","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8429 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135)\/(sqrt(18)\/sqrt(2)))\/(sqrt(108) + sqrt(108)*1))**2.\nAnswer: 5\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1795 times -3?\nAnswer: -5385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -11*n**2 + 31. Let c(y) = 1. Let z(l) = -3*c(l) + d(l). Let o(f) be the first derivative of z(f). Let b(t) = t. Give o(b(w)).\nAnswer: -22*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17, -44, -89, -152?\n\"Answer: -9*r**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 10 = 6*j. Suppose -8 = j*u - 6*u. Suppose 25 = 3*f - u*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208947900 a multiple of 2555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-9))\/((-4)\/(-6)). Let r = -0.4 - 0.1. Let o = 0.34 - 0.24. Sort b, r, o.\nAnswer: b, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4579 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15104478 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-175)\/15 - (-2)\/3. Let j(p) = 908*p - 12. Let i be j(z). What is i rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.180067443 rounded to three dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19722044 to the power of 1\/2, to the nearest integer?\nAnswer: 4441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1508.94 - 1510. Let f = -124.5612 + 125.621078. Let w = d + f. Round w to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1391039 and -6136.\nAnswer: 1384903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 + 4*m - 10 + (2*m + m + 3*m)*(0 - 3 + 1).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82451.\nAnswer: 41, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 h when two letters picked without replacement from jnhfthehnntfjf?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-47)\/(-16)*-6)\/(12\/16). What is the nearest to -27 in y, -5\/2, -4\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 - (-7 + -4) - 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3630512917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 14*a + 3*a**2 - 4*a**2 + 6*a**3 - 13*a. Let r(j) = -j + 77. What is the remainder when r(24) is divided by c(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 266485 or 8?\nAnswer: 266485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m - 2. Suppose 2*a + 5*o - 7 = 0, a - 3 = -0*a - 2*o. Let q be x(a). Sort -2, q, -4 in decreasing order.\nAnswer: q, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1723*j - 545*j + 22382 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 9. What is the greatest common factor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 - 48. Let l be (t\/4)\/(10\/40). Suppose 0 = 11*y - l*y - 830. Is y a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-38))\/(l*l\/(l**8\/l*l)*l) assuming l is positive.\nAnswer: l**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 3*w + w)*(5 + 59*w**3 - 119*w**3 + 61*w**3) + (-3*w - w + 6*w)*(2*w - 2*w - 3*w**3).\nAnswer: -8*w**4 - 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1372 + i**3 + 60*i**2 - 1372.\nAnswer: i**3 + 60*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 156\/351*(-45)\/230. Let l be ((-18)\/(-15))\/((-1)\/5). Sort -3, t, l.\nAnswer: l, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 2. Let q = j - -3. Let a = -2734 + 2729. Sort a, -4, q in decreasing order.\nAnswer: q, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11687939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -174 equal to 6393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 875*l + 4. Is a(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**3 + 10*c**2 - 30*c + 20. Is s(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 24. Let i(b) = 2*b + 14. Let x(o) = 3*o + 13. Let a(z) = s*x(z) + 6*i(z). Let r(q) = 4*q + 3. Calculate -6*a(h) - 14*r(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -46. Let p = 5518 - 5510. What is the smallest value in v, p, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(2\/9))**(1\/18)\/(k*k*(k\/(k**(2\/13)*k)*k)\/k*(k*k**(-5\/3))\/k))**(-17))**(-31) assuming k is positive.\nAnswer: k**(-123845\/2106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 19\/3, -1\/16, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 13 = -3*n + 9, -10 = 5*q + 5*n. Is 9 a factor of ((-6)\/q)\/(4\/48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 218715789989?\nAnswer: 218715789989.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (99 - -388)*(-1)\/(-2)*4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009434695 to 5 dps.\nAnswer: 0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 141853190123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/521 or 2\/155?\nAnswer: -2\/521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.562153 plus -5?\nAnswer: -4.437847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - h + 0*h)*(-h + 2*h**2 + h + (-1 - 1 + 4)*(-2 + 2 + 2*h**2) - 2 + 2*h**2 + 2 + (5 - 5 + 3*h**2)*(0 + 3 - 2)*(-3 - 2 + 3)).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.27 and -0.39.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(3 + 4 - 6)*(5 + 0 - 4)*(t - t - t**3).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 223\/2 or 0.1?\nAnswer: 223\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -120 + 172. Calculate the remainder when 155 is divided by p.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 11*q**2 - 20*q**2 + 11*q**2 + 7 + 6*q. Let w(f) = -2*f**2 - 5*f - 6. Determine -4*l(x) - 5*w(x).\nAnswer: 2*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - j = -7010 - 3351, 5*j = -4*b - 13783. Let l be b\/(-28) + (-4)\/14. Let q be l\/12 + (-3)\/12. Solve n + 4*n - 10 = -3*v, -5*n = -4*v - q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1aa9a3 (base 11) to base 14\nAnswer: 854a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21 + 7*i**2 - 21 + (-5*i + 4*i + 8*i)*(48*i + 13 - 13).\nAnswer: 343*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 130886 and 5.\nAnswer: 654430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a4 - -6?\nAnswer: aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxo when three letters picked without replacement from {d: 1, x: 9, p: 1, s: 4, o: 4}.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 335*v**2 + 994*v - 668. Let u be g(-332). Suppose 5*d - 3*d = -12. Put 4, u, d in decreasing order.\nAnswer: 4, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (-7 + (-13 - -33)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6663, -1527, 3611, 8751?\n\"Answer: o**2 + 5133*o - 11797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 5, -2\/81, -3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - -1.7. Suppose -3*u - x = -1, -4*x - 3 + 7 = u. Is o bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 8*y**3 + 16*y**2 + 6*y - 12. Let q(c) = -7*c**3 - 15*c**2 - 6*c + 13. Let k = 0 - 5. Let r(x) = k*m(x) - 6*q(x). Determine o so that r(o) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 993.2? (a) -0.5 (b) -4\/5 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 2648634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2. Let m(o) = o. Let s(d) = 2*d + 10. Let n(x) = -3*m(x) + s(x). Let g be n(10). Let q(r) = 5*r + g*r - 2*r + 3*r. What is q(y(t))?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2490 times 0.4?\nAnswer: -996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 3*i**4\/4 + 4*i - 19. Find the first derivative of u(j) wrt j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, d: 16}. Give prob of picking 2 d and 2 g.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/9 (b) -7 (c) 0.1 (d) -410 (e) -38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/11)\/a*a*a*a*a*a**2)**(3\/5) assuming a is positive.\nAnswer: a**(159\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from prrpgacacrrgc.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1191, 2397, 3615, 4851, 6111, 7401, 8727, 10095?\n\"Answer: s**3 + 1199*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 24, 9 in descending order.\nAnswer: 24, 9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 737869.5 millilitres?\nAnswer: 737.8695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116 and 63508.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5859*t + 163211 = -2247*t + 2061*t + 18131 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1cc6c1 (base 13) to base 3\nAnswer: -1101200020012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 442300 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 + 8. Let m(n) = -n**3 + 17*n**2 - 14*n - 8. Let w be m(16). Calculate the greatest common divisor of v and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10\/11 (b) -0.04 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t + t + 3*t + t + 2. Suppose 0 - 6 = 3*k. Let y be p(k). Which is smaller: y or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 4*v + 2. Let c(j) = j**2 + 10*j - 34. Calculate the remainder when c(3) is divided by m(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000465697 rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.728 and 0.3?\nAnswer: 0.5184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u**5*z - 4*u**5 - 6*u**2*z + 216*u*z wrt u?\nAnswer: 40*u**3*z - 80*u**3 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 195 and 20605.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113033320 + -10?\nAnswer: -113033330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -1.88.\nAnswer: 5.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.17374847 + -1.17303. What is q rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/13)\/((-6)\/(-30))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*w - 9*w + 3*w to the form n*w + p and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -4 - -21) + 1061 + -1021?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1018872372 to the nearest integer?\nAnswer: 31920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.6 - -27.4. Let u = 30763291 + -30763270.199899. Let y = g - u. What is y rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3086860 is divided by 12447.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, u: 1, k: 2}. Give prob of picking 2 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 0 = 7. What are the prime factors of 7 + (6 + 1070 - n)?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43 + 2*c**4 + 8 - 4*c + c**3 + 36 to n*c**4 + q*c**3 + z*c + l*c**2 + x and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(-8) - (-1 - 585\/2)?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 664 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1, 425.01, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 119 + 13838?\nAnswer: 13954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*f**4\/4 + 1335*f**3 + 424331*f**2\/2 + 4195015*f + 88868329\/4.\nAnswer: (f + 11)**2*(3*f + 857)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -1\/9*q**3 + 0*q + 1\/90*q**5 + 0*q**4 - 4 - 5\/2*q**2. Let j(h) be the second derivative of o(h). Let j(b) = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-11 + 28 - 4) + (6 - 11 - 94).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l + 3*l)*(1 + 0 - 3)*(-3 - 3*l + 3)*(-20 + 13 - 23).\nAnswer: -360*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3420*h - 2 - 11*h**2 + 11*h**2 - 4*h**3.\nAnswer: -4*h**3 + 3420*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -825*x**3 - 8*x**2 + 12*x + 178. Let d(u) = 2473*u**3 + 22*u**2 - 33*u - 535. Let f(q) = -4*d(q) - 11*p(q). Differentiate f(z) wrt z.\nAnswer: -2451*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 16*s**2 + 11*s - 16. Let b be i(-15). Let f be 2 + (13 - (6 - 3))\/(-1). Let v = f + 41. Calculate the highest common factor of b and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**4\/2 - 4008*m**3 + 2820629*m**2\/2 + 4259007*m + 2844684 = 0.\nAnswer: -2, -1, 372, 7647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 42, 0.08, -1\/4, 0.5, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2698784.\nAnswer: 2, 11, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53\/9 + -50\/9. Let v = 0.2 - 0.1. Let d = -0.1 + v. Which is the closest to d? (a) -1\/5 (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*s - 12. Suppose 0 = 2*v + 4*z - 24, -3*v + 4*z - s = v. Factor 80*y - 12 - 5 - 148*y**v + 1 + 145*y**3 - 36*y**4 - 25*y**3.\nAnswer: -4*(y - 1)**2*(3*y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 4*i - 54. Determine j(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c + 13. Let a be k(5). What is the units digit of (a\/14)\/((-1)\/350)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16659\/22 - 1519\/2. Is w less than or equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1433617693?\nAnswer: 67, 21397279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 7. Let f(a) be the second derivative of a**2\/2 - 3*a. Let p(m) = -6*f(m) - j(m). Give p(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 25 - 20*s)*(-6*s**3 - 13*s**3 + 4*s**3) + (-3 + 3 - 2*s)*(3*s**3 - 2*s**3 + 0*s**3) + 5*s**4 + 0*s**4 - 4*s**4.\nAnswer: 299*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.004 - -5.00403413. What is o rounded to six dps?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -22 - (-120 + 199 - 148).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -174886284 and 3.\nAnswer: -174886281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594199110.\nAnswer: 2, 3, 5, 223, 88819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4052063348 - 65.7.\nAnswer: -4052063413.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6275361868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 + 582*d**2 - 18054*d + 148546.\nAnswer: -2*(d - 257)*(d - 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 3*v - 3. Let b(n) = -n**2 + 2*n - 2. Let g be (5 + -1)\/(-9 + 11). Determine g*w(y) - 3*b(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c**2. Let y(i) = -9*i - 90. Calculate y(a(m)).\nAnswer: -63*m**2 - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.065289290368 - 331828.064819290368. Let o = v - -331840. Let i = o + -12. Round i to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5625201*y + 11250404*y - 5625206*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 - 13190 + 13190.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/6 + (-99)\/(-2). Let f = u - 50. Suppose -4*b = -9*b - 4*k - 41, 2*b = -3*k - 22. Put f, b, 1 in ascending order.\nAnswer: b, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*2\/(-48)*-8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.7 and -1.444838?\nAnswer: 8.2355766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 7 = -1. Let o be 86\/10 - 4\/(-10). Factor x + 10*x**5 - o*x**5 - 4*x**2 - 2*x**4 - i*x**4 + 6*x**3.\nAnswer: x*(x - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1231477613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27855 + 4071 + 14907 + 11151 = -604*t for t.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23300 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*a**3 - 10*a**2 + 20*a**2 - 7*a**2 - 5*a**3 - 7*a**3 as z*a + w*a**2 + x + q*a**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1062 - 6142?\nAnswer: -5070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 6*r + 595 - 294 - r**2 - 306. Let n(t) = 3*t - 2. Calculate 3*j(s) - 7*n(s).\nAnswer: -3*s**2 - 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 589 + -719 - (6 - 58).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*h = -6*h + 7, 2*n + 4*h = 18. What is the remainder when 8 is divided by (1\/n)\/(20\/(-80))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55406.\nAnswer: 2, 13, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 + 22*k - 24. Let m be d(10). Let u(r) = 3*r**2 + 11*r + 6. What is u(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-6)\/12*2\/(-33)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**2 + z**2 + 3*z**2 + 0*z**2 + 2 to the form y*z + k + h*z**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 81*x**2 - 245*x + 535. Calculate d(-84).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88920 and 287565?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 3*z**2 + 4. Suppose -2*k = 5 + 1. Calculate s(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 5*o + 7. Let k(f) = -5*f**2 + 24*f - 34. Let q(l) = -11*a(l) - 2*k(l). Suppose -15*j + 63 = -6*j. Give q(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, m: 3}. Give prob of picking 1 m and 2 j.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1385 by 54.\nAnswer: 1385\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 12. Let g(t) = 265*t - 22780. Let m be g(86). Solve -u - m = 3*p, 2*p - 1 = 4*p - w*u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y**3 + 8*y**2 - 12*y + 1. Let h(p) = 5*p**3 - 9*p**2 + 13*p - 1. Let f(o) = 6*a(o) + 5*h(o). Let z = -30 - -25. Determine f(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 1 - (-1)\/(-1). Let n(b) = -b**2 + b + 1. Let z be n(h). Suppose -a + 4*a = -12. Put -1, a, z in decreasing order.\nAnswer: z, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o = 4*m + 26*o - 4447, 2*o = -2. What is the greatest common divisor of 7 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*d + 1\/3*d**5 - 2\/3*d**4 + 1\/3*d**3 + 0*d**2.\nAnswer: d**3*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614 is divided by 52?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17251*f**2 + 34499*f**2 + 0 - 17251*f**2 - 4 - 1 + 5.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 113552.\nAnswer: 567760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -151011\/4 (b) -1\/4 (c) -2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - -2063)\/((-15)\/(-5) + -1). Let n = -1032 + m. Suppose -7 = -4*a + 5. Solve -2*s - 18 = -3*l, n*s + 3*l + a = -3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71109 or -71106?\nAnswer: -71109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3566 + 3568. Suppose -3*i - 2*i = 0. Let a = i - 1. Let b(s) = -s**3 + s**2 + s. Let j(u) = u**2. Determine a*b(m) + d*j(m).\nAnswer: m**3 + m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111101000000001 (base 2) to base 11.\nAnswer: -89361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**3 + 4*l**2 - 3*l + 10. Let g(n) = n**2 - n. What is 4*g(s) - t(s)?\nAnswer: -3*s**3 - s - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2879358.9ns?\nAnswer: 0.000047989315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 68.70535 nanometers?\nAnswer: 0.000006870535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 76, -20733, -1 in decreasing order.\nAnswer: 76, 1, -1, -20733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d - 13. Let b be z(11). Suppose 4*g - h = -0*g + 15, -3*h = b. Factor -1\/2*m**g - 1\/2*m**2 + 1\/2 + 1\/2*m.\nAnswer: -(m - 1)*(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 4)*(9 + 3*h**2 - 5 + h**2).\nAnswer: -12*h**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 879 or 0.27?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 2:07 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.158 - 75034704?\nAnswer: -75034703.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1065866360*w**2 + 2*w + 240441013?\nAnswer: -2131732720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 2*n**2 - 5*n + 6. Let d(l) = -l - 9. Let h be d(-13). What is the units digit of y(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3 + 5*f - 44 - 6*f**2 + 38 + 2*f. Let k be z(3). Suppose -2*l + 10 = j, -3*l = -0*l - 5*j - k. Solve -l*q = -q - 8, 0 = -i - q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 18*x**2 - 18*x + 31. Let l be t(15). Let p = -309 + l. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4 = 4*g, 2*n - g + 8 = -5*g. Suppose 7*j - 4*j = -5*j. Sort n, j, 4.\nAnswer: j, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -147630052 <= -147630051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 d when two letters picked without replacement from {d: 11, c: 1, w: 6}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 21 = -2*r - 3*r, -25 = 5*r. Suppose s*l - 52 = -0*l. Let b be 44 + -5 + -3 + 3. What is the highest common divisor of b and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 48643?\nAnswer: 437787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32384)\/(-264))\/(-92)*3*(-8)\/(-14)?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -13*a - 29. What is s(-7)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 17, u: 3}. Give prob of picking 2 u and 2 m.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17499 and -1?\nAnswer: -17499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14\/13, -50, 751?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37864 = 766*z - 758*z. What are the prime factors of z?\nAnswer: 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*i = -1631 + 259 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185334 = 1357*y + 2407*y - 130*y for y.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 119*b - 9311. Give q(-54).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*p + 4*p = -6, 2*f = 5*p + 15. Let t = -5 - f. Let c = t - -10. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 7*b + 8. Let w be r(-6). Suppose -4*p - 2*i = -w, 4*i = -5*p - 5 - 0. Suppose p*z + 31 = 184. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -151? (a) -0.1 (b) 1 (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(60)\/sqrt(12) - sqrt(20))*6)\/(sqrt(30)\/(sqrt(9)\/sqrt(3)) + 1*sqrt(160)).\nAnswer: 18*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 3 - 8*o + 2*o. Let x be 39\/4 + (-26 - -16) + (-50)\/(-8). Let n(q) = 20*q - 9. What is x*n(u) + 17*f(u)?\nAnswer: u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164465 divided by 5.\nAnswer: -32893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m + 8. Let f be n(4). Let g be 8\/f - 4\/(-6). What is the second smallest value in -1\/5, -0.3, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (1 - -6) + -12 + (-20 - (11 - 33))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7056 and 977760.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 4*f**2 + 14*f + 65. Give l(-10).\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -0*v - 5*v + 3*c, -v + 3*c = -7. Suppose -99734 + 14359 = -3*h + 5*d, -v*h + 113848 = -3*d. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 4. Let q be k(8). Let x be -2 + q*(-3)\/(-6). Solve 3*t + v = -4*v + x, 0 = v + 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78 - -89. Let u(x) = -x**3 + 12*x**2 - 11*x + 16. Calculate the remainder when 190 is divided by u(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6712*v**2 + 12894*v**2 - 6475*v**2.\nAnswer: -293*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*k**2*q**4 + 3*k**2*q + 2*k**2 + 133*k*q**4 - 3*k*q**2 wrt q.\nAnswer: 96*k**2*q + 3192*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3773 and 70.\nAnswer: 37730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + -135?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1112 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -18*n**3 + n**2 - 1. Let v = -116 - -115. What is a(v)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 140, 283, 422, 557?\n\"Answer: -2*f**2 + 149*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 18*w**2 - 20*w + 22. Let y be p(19). Let x = -602 + 863. Let o be y\/(2\/((-12)\/x)). Do 1\/4 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 12:59 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3*-2*sqrt(228) - sqrt(228))*4)\/(-1*(sqrt(192)*2 + sqrt(588)*2 + sqrt(588) + sqrt(12))).\nAnswer: 14*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21150153 (base 6) in base 15?\nAnswer: -c3e53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9 - 728)*(-11 - 2). Calculate the highest common divisor of 26 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005768 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71805.\nAnswer: 3, 5, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12278 + -343673\/28. Let u = 27255\/28 + -973. Find the common denominator of u and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lkqlqsl. What is prob of sequence qqls?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -0.2, 2\/13, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 7*m**2 - 6*m - 5. Determine q(-4).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1851305 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9379.\nAnswer: 83, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n + 9. Let s(p) = 5*p - 10. Calculate 7*b(x) + 6*s(x).\nAnswer: -5*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*t - 7*t + 8*t)*(2*t - 6*t + 6*t) + (2*t - 2*t + 2*t)*(0*t + 2*t + 0*t) in the form q*t**2 + j + z*t and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 493524 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1359759?\nAnswer: 3, 281, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 13*d + 7. What is m(12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*u + 5 = 0, 4*i - 5*u + 7 - 37 = 0. Which is the nearest to -2? (a) 4 (b) 4\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 12 - 15)*(-4 - 2*f + 4).\nAnswer: 44*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-86)\/52503*-111*(-3894)\/6?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13111 - 111204132?\nAnswer: -111222243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.6*0.6.\nAnswer: -7.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(17) + sqrt(17) + (sqrt(68) - sqrt(17)) + sqrt(17) + 5 - ((sqrt(459)*-3)\/sqrt(9))\/sqrt(3).\nAnswer: 5 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -9*h + 913. Let f be ((-2)\/((-40)\/10))\/(1\/h). What is f rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 3*h**3\/2 + h + 2. Let g(f) be the first derivative of w(f). What is the units digit of g(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 4:19 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.5 + 8.5. Let s = -3.8 + -1.2. Let o(v) = -v**2 - 3*v + 1. Let w be o(-3). Which is the closest to w? (a) d (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 483, 8.4, 11\/8?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.246 rounded to one dp?\nAnswer: -8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s - 20. Let a be h(-12). Differentiate 3*o**a - 5 - 87*o**3 + 87*o**3 with respect to o.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3165329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -4, 0.1, -5, -0.143.\nAnswer: -5, -4, -0.143, 0.1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyyyyyyyyyqyy. Give prob of picking 3 y.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/105 in 0.4, 1\/3, -1794?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160073.37 milliseconds to hours.\nAnswer: 0.044464825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -48411 bigger than 0.04495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + 52 - 12228\/156.\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010110000110010 (base 2) to base 6.\nAnswer: 1351442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-62)\/(-5) - 1\/(25\/10)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 10:59 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - (2 - -3))\/(-1). Suppose w = a - 4. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = c - 15. Let s = c + 9. Suppose k - 25 = -s*k. Solve 23 = k*o - 2*y + 5*y, -2 = -2*y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216665 is divided by 108315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4722 and 1710.\nAnswer: -8074620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -137*y**2 + 564*y + 574*y - 1141*y as h*y + r*y**2 + d and give r.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v - 7 = 15*v. Let b be (8\/(-210))\/(180\/600). Which is bigger: v or b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2)*((-10 - 3) + 1). Suppose q*x - 4*x - 18 = 0. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 25. Differentiate -k - 6 - m + k + 8*k**3 wrt k.\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -6 + (6 - 11 - -2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 0.07713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 15, a: 2, r: 3}. Give prob of sequence ri.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -10*m - 3. Let u(r) = -19*r - 5. Let g(f) = 3*u(f) - 5*x(f). Let i(p) be the second derivative of -p**4\/3 + 2*p + 33. Give i(g(j)).\nAnswer: -196*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*r - 3*l, -4*r - l = 2*l - 5. Let h be -16 + 16 + 1\/5. Put r, h, 3 in decreasing order.\nAnswer: 3, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 917 divide 1750842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 7, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 + 22. Let t = v + 30. What is the nearest to -1\/4 in -2, 3, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 3*b - 6, 6*b - 4*v = 5*b + 3*b - 2*v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 - 12198*y - 37197801.\nAnswer: -(y + 6099)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/6)\/((-6)\/90*((-240)\/(-164))\/(-12)).\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 4 + 19 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2. Let n(q) = 12725*q**2. Calculate i(n(w)).\nAnswer: -161925625*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 443771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 16.54186ml?\nAnswer: 0.01654186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 223860 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1912 (base 11) to base 16\nAnswer: -981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -i - 1. Let y be (-2)\/8*i*10. What is the third derivative of 0*k**4 + k**4 + y*k**2 - 3*k**2 wrt k?\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 0.69336, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 3:49 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*j**3*q*s**2 + 13*j**3*q - 65*j**3*s**2 + 7*j**3 + 2*j**2*s - 1 wrt s.\nAnswer: 14*j**3*q - 130*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-8)\/(-8)))\/((-2)\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 + -8 + (-24 - -39) + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*n + 26. Suppose 2*s = n*s - 296. Calculate the remainder when s is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3408 and 73903332?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 - 2*k**3 - 2*k**2 - 5 + 8*k**3 - 3*k**3 - 9*k**3 + (-1 + 0 - 1)*(-k**3 - 2*k**3 + 5*k**3).\nAnswer: -10*k**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azff when four letters picked without replacement from xfxpaxpfaz.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*j + 31*j**3 + 12*j + 8*j - 36*j.\nAnswer: 31*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12 - (3 + -4) - -2. Solve -3*p = -8*p - d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -383500 (base 9) to base 14\nAnswer: -608b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/66*3 + 846\/1386.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570921 to the power of 1\/2, to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1535028 divided by -11\nAnswer: -139548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 11 = -5*h. What is the remainder when 7\/(h\/86) - -4 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 26093062?\nAnswer: 7\/26093062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 8:42 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + (sqrt(72) + -1)**2 - (-6*(sqrt(72) + 1 + sqrt(72)) + -4))*-6.\nAnswer: -360*sqrt(2) - 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 18 = -3*j, -3*j + 3*k - 2 - 13 = 0. Let h = j - -17. Calculate the least common multiple of 4 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 x when three letters picked without replacement from {w: 1, r: 4, y: 2, x: 3, o: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a - 3*a - a)*(965*a**3 + 376*a**3 - 208344*a**2 + 208342*a**2) to the form i*a + y + m*a**3 + n*a**4 + p*a**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 11:38 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**6\/420 + o**5\/105 + o**4\/84 + 12*o**2. What is c in q(c) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 2 - -5) + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -20. Suppose -b*v - 5*l = -3 - 2, -l = 5*v - 1. Let i be 10\/(-15)*(-2)\/100. Which is greater: v or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 + 9 + 22)*(0*d + 3*d - 5*d)*(4 + 1 - 7)*(-15 + 4 - 12).\nAnswer: -8188*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 41*z + 7. Let r(g) = 40*g + 8. Calculate 6*j(q) - 5*r(q).\nAnswer: 46*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*1 - sqrt(17))**2 - (sqrt(153)*3)\/sqrt(9).\nAnswer: -3*sqrt(17) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16223 is divided by 15701?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h + 6*h - 3*h - 7)*(5*h - 5*h - 5*h**3) in the form m*h**3 + j + w*h + z*h**4 + f*h**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5009*d = -870*d + 70363 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3939590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) 2\/9 (c) 2\/3027 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**4*i)\/i**(-1\/10))\/(i**(-2\/35)\/i**3) assuming i is positive.\nAnswer: i**(711\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111122727?\nAnswer: 3, 17, 2178877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 9*x**2 + 5*x - 10. Suppose 9*q = 4*q - 250. Let t be q\/15*6\/2. Let k be c(t). Round k to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-14)*m*m*m\/(m*m**(1\/52))*m)\/(m**(2\/59)*m**(-17)) assuming m is positive.\nAnswer: m**(18245\/3068)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**5 - 2*m + 2*m + (-5 + 1 - 5)*(15*m**5 + 31*m**3 - 31*m**3).\nAnswer: -133*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**5\/60 + a**3\/6 + 5*a**2. Let d(c) = c**3 + 3*c**2 + 2. Calculate the lowest common multiple of h(-3) and d(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -845*f - 35*f + 15 - 34 + 19 in the form o + m*f and give m.\nAnswer: -880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/185 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 105*l**2 - 520*l - 625. Let k(v) = 8*v**2 - 40*v - 48. Let p be (-1044)\/(-26) - 16\/(-104)*-1. Let m(y) = p*k(y) - 3*a(y). Solve m(i) = 0 for i.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 6*u**2 - 12*u - 24.\nAnswer: 3*(u - 2)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 10*u**2 + 7*u - 4. Let f be n(-9). Let c be (-4)\/f - (-2)\/7. What is the second derivative of g**4 - g - g + c*g wrt g?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -8*a**2 - 2*a + 2. Let t(p) = -303*p + 7886. Let j be t(26). Let i(b) = 23*b**2 + 5*b - 6. What is j*n(o) + 3*i(o)?\nAnswer: 5*o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x - 62. Let d(k) = -2*k + 33. Let v(t) = -7*d(t) - 3*q(t). Let p(y) = 10*y. What is v(p(b))?\nAnswer: 20*b - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/2 - 35*n**2 - 441*n\/2.\nAnswer: -n*(n + 7)*(n + 63)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5355584 plus 0.194?\nAnswer: 5355584.194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*h = -237*h + 5615 + 5110 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 0 + 1\/6*q**4 + 110\/3*q**3 - 156*q + 0*q**2 + 5*q**5. What is the second derivative of f(l) wrt l?\nAnswer: 600*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + -15 - -20 - (-17 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131038121, -131038122, -131038123, -131038124?\nAnswer: -131038125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 197.5 (b) 10 (c) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iniaufd. What is prob of sequence fna?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 6\/7 (b) -2 (c) 1\/5 (d) 5 (e) -202\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 23 = -3*s, s - 3*d + 22830 = 22834 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 352496, 705021, 1057562, 1410125, 1762716, 2115341, 2468006?\nAnswer: 2820717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*a + 1 = -8*c, 0 = -c - a - 2. Let g = c + 3. Solve -g*z = q + 4 - 0, 5*q - 4*z = 36 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5923, -23676, -53261, -94678, -147927, -213008, -289921?\nAnswer: -378666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 604103506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1872*q = 1867*q - 5*u - 40, 4*u = -15*q - 120 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2\/13, -2, 29, 1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/4, -6, -3, -21, 125, 16, -1\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 16, b: 2}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30915 = -3462*y - 56033 - 33736 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 9. Let n be p(-5). Let j(x) = 2*x + 2*x + 8 - n. Does 12 divide j(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 13*c - 9. Let j be i(0). Put j, -1, 2, -5 in decreasing order.\nAnswer: 2, -1, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/200*-4*(-20)\/12\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**2\/3 - 788*a\/3 - 3056 = 0.\nAnswer: -382, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*n + 435 = -292*n + 2979. Let w(a) = -a**2 + 17*a - 47. Calculate w(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (sqrt(19) + 0))*-5)**2 + sqrt(931)*1 + 4 + sqrt(171) + sqrt(171)*-2.\nAnswer: 4 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 19025 and -0.4.\nAnswer: 19024.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 5:57 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -1, 1, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 - a + a)*(61*a**2 + 58*a**2 + 4 - 118*a**2).\nAnswer: -a**4 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (2 - (7 - 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 111 + 39. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31, -43, -61, -85, -115, -151?\n\"Answer: -3*k**2 - 3*k - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 852333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 20*c**3 + c. Let y(t) = 3*t + 38. Let z = -110 - -112. Suppose 2*f + 10 + 25 = -3*a, 2*f + 20 = z*a. Let p be y(f). What is o(p)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 525 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 2*c**2 - 97*c + 18. Let k be s(-9). Solve 3*g = -3*m + 6, k = 3*g - m - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 6*t - 3. Suppose -20 = -5*r + r. Suppose r = 4*s - 27. Let h be i(s). What is the highest common divisor of h and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) -33.3 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gsgsg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*u + 583*u - 1000*u + 1758 = -455*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2783.8 - -2786.8. Let s = 0.02 - -0.08. Sort s, 0.117, 0, h in ascending order.\nAnswer: 0, s, 0.117, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/5, 177494\/23, -2, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*u - 18*u + 35*u)*((3 + 0 - 1)*(-4 + 5 + 1) + 1 + 5 - 5).\nAnswer: 195*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104132 (base 5) to base 11.\nAnswer: 2834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/10)\/((-171)\/570). Let n = -0.1 - -0.3. What is the third biggest value in 0.1, n, a, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (5 - (1 + 4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4410*l**2 - 18026*l**2 + 4418*l**2 + 4405*l**2 + 4793*l**2 - 2*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20610327*c**2 + 36*c + 139590.\nAnswer: -41220654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*sqrt(468)\/sqrt(144))\/((sqrt(64)\/(sqrt(8)*-1) - sqrt(8) - sqrt(8))\/sqrt(2))*-6.\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 117 + 9 + -4 - (1 - -2) - (804 - 803).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**4 - 48*s**3 + 117*s**2 + 162*s = 0 for s.\nAnswer: -18, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**6\/4 + 17*f**4\/12 - 8*f**2. What is the second derivative of k(c) wrt c?\nAnswer: -180*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 17*p = 0. Let s = 1489\/35 - 288\/7. What is the nearest to s in p, -4, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2\/7 - 1158*t\/7 - 445104\/7 = 0 for t.\nAnswer: -264, 843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 - 14473*a - 101296. What is p(-7)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -4, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1433310, -2866632, -4299954, -5733276, -7166598, -8599920?\nAnswer: -10033242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**3 + 12*x**2 + 12*x - 45. Let f(d) = 11*d**3 + 34*d**2 + 34*d - 135. What is -6*f(h) + 17*s(h)?\nAnswer: 2*h**3 + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -4, 1560, 4, -1, 189 in descending order.\nAnswer: 1560, 189, 4, 3, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a + 4371*a**2 + 3786*a**2 - 3919*a**2 + 4654*a**2 - 2*a**3 to o*a + u*a**2 + c + l*a**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -19*l + 1. Let w be j(1). Let m be (-712)\/(-24) - 2\/(-6). Let n = m + w. What is the greatest common divisor of 108 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 510 and 19839.\nAnswer: 198390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1000011111110000010 (base 2) to base 5\nAnswer: 32402102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -265*m**4*y + 13*m**3*n*y**3 + m**3*n + 79*m**2*y**3 - 2*m**2*y**2 + 3*m**2*y - 2*m*n*y**3 - 1 wrt m?\nAnswer: -6360*m*y + 78*n*y**3 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k + 2*j - 48, 4*j + 242 = -3*k + 338 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 3 - -1*3. Let u = 0 + g. Suppose 0 = -u*z + 5*b + 27, -4*b + 18 + 2 = 0. Calculate the remainder when 25 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29688.97 weeks in hours?\nAnswer: 4987746.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 25*y**2 - 11*y + 53. Let m be d(23). Suppose -20*b = -17*b - m. What are the prime factors of b?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 36 = -31. Let g be 38\/(-57) - c\/3. What is the nearest to 0.1 in -2\/5, g, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11424 and 132328?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i*i*i**6*i)))\/i)**(-1\/5) assuming i is positive.\nAnswer: i**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i**2 - 6*i. Let j(h) = 6*h**2 - 5*h. Let y(n) = -n**3 - 12*n**2 - 28*n - 4. Let k be y(-9). Give k*j(b) - 4*o(b).\nAnswer: 6*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 985282778 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 3*d + 3 + 4, 4*d - 4 = -4*x. Suppose 2*z = -10, -2*f - 5*z - 5 = x*f. Let m = -0.02 - -0.12. What is the nearest to m in 0.4, -3, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -17. Let o be 1\/(-1) - (2 + i). Let f(z) = 3*z**2 + 2*z + 1. Let y be f(-1). Solve 0 = y*u, -o*h + u = -5 + 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -111 + 113. Let t be -3 - (-18 - (-10)\/n). Find the first derivative of -9 - t + 24 + 21 - 42*q wrt q.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5835073*t + 643719 wrt t.\nAnswer: 5835073","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 50472*c + 3 = -50473*c, 25 = -5*k - 3*c for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 18*-1*(-3)\/9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2110156 (base 7) in base 4?\nAnswer: 332022010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 9*o - 4. Let n be l(-8). Find the second derivative of n*h + 10*h - 3*h**3 - 11*h**3 + 5*h wrt h.\nAnswer: -84*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1594621221 is divided by 3031.\nAnswer: 3028","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 n, and 1 v when three letters picked without replacement from {m: 3, v: 3, c: 2, k: 2, n: 6}.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -1512.14, 578?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 8\/8)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98917 - 91905 = 2614*b for b.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 136 = -428. Suppose -5*k + u - 43 = 0. Let b = -23 + k. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**3\/a)\/a)**0\/(a**(2\/3)*(a**34*a)\/a))**(-5\/12) assuming a is positive.\nAnswer: a**(130\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c**2 + 439*c + 1314. Calculate u(-3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -2\/11 (b) -4 (c) 108 (d) -3 (e) 2\/17 (f) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1815.18 - -1828. Round u to 1 decimal place.\nAnswer: 12.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 1)\/(5\/(770\/(-42)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1622.90142 milliseconds to weeks.\nAnswer: 0.00000268336875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**2. Let d(c) = -8*c + 3. Give d(j(u)).\nAnswer: 24*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71*q**5 - q**2 - 3*q wrt q.\nAnswer: 4260*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 57010.\nAnswer: 1\/11402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q - 1. Let w(i) = -i**3 - 12*i**2 + 29*i + 14. Let h be w(-14). Let s(p) = -29*p + 0 - 1 + h + 25*p. What is 5*m(b) - 6*s(b)?\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5409289, 5409333, 5409383, 5409439, 5409501?\n\"Answer: 3*b**2 + 35*b + 5409251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -h - 0 + 102, -30 = -2*x - 4*h. Suppose 21 + 35 = 4*b + 5*l, -2*b + 28 = -3*l. Calculate the greatest common factor of b and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 456 and 1254.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2)\/6)\/(6\/(-306)) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.01, -4649 in decreasing order.\nAnswer: 0.01, -2, -4649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84776382 is divided by 1021402?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence etut when four letters picked without replacement from {u: 2, p: 2, v: 2, e: 3, t: 2, w: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 2:07 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m + 2. Let l be h(2). Suppose -g = -l*g + 15. Put 5, g, 0 in decreasing order.\nAnswer: 5, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 15 - 3)*(-13*o - 3*o + o + (-o + 2*o - 3*o)*(0 - 1 - 1)) to the form d*o + j and give d.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.384214 months to centuries.\nAnswer: 0.024486845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-35)\/(5*2\/10). Let s = t - -41. Calculate the least common multiple of 22 and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 1. Let d(c) = 178*c**2 - 979. Determine 2*d(s) - 1958*r(s).\nAnswer: 2314*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 + -27. Let h be (4 - (-1 + -1))*24. What is the greatest common factor of h and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247956935256 - 247956935256 - 24*i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7\/39 + -2\/13. Let q = -3 + 5. Suppose 0 = -5*c + 5*y + 15, 4*c = -4*y + q*y - 6. Which is greater: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-22 + 28)*2\/3. Let h(f) = -f**2 + 2*f - 5. Calculate h(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/25 + 13\/5. Let d = m - 2. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2430 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23701 - 23696. Solve -3*y = q*w - 5, 6 = 2*w + 3*y + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1891958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -388045\/3 or -2?\nAnswer: -388045\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. Suppose -n - a*n - 33 = -d, 0 = -5*n - 20. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 9*j**2 - 202*j - 18. Determine o(23).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-100)*-4)\/(14\/(-10))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 7782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5144426?\nAnswer: 2, 7, 29, 12671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, -45, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2314*z**3 + 5*z**2 - 5*z + 10. Let n(j) = 3473*j**3 + 7*j**2 - 7*j + 14. Determine -7*h(c) + 5*n(c).\nAnswer: 1167*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -6.1 (c) -0.5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 5*z + 1 = 3*t, 0 = 3*t + 2*z + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*o - 436736 = 64*o. What are the prime factors of o?\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 11 = -1. Let k(s) = 3*s**3 + s. What is k(y)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345780 is divided by 219.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2462 divide 472025306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.031? (a) 5 (b) 1 (c) -82\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2066461973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1001011 (base 2) to base 11\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109 - 250229.82.\nAnswer: -250338.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**3 - 14*c**3 - 15*c**3 - 6*c**3.\nAnswer: -31*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -347 - -379. Calculate the remainder when 121 is divided by h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 35 = 5*d, 449*d = -5*k + 223*d + 225*d - 39 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*z - 4. Let l be (3\/(-9) - z)*-3. Let r be l\/4*(3 + -5). Let u(n) = -8*n**2 + 1. Determine u(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/12*9\/3. Let r(t) be the third derivative of 1\/24*t**4 + t**z + 0*t**3 + 0*t - 1\/60*t**5 + 0. What is the second derivative of r(j) wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 8317*l - 33 = -8316*l, -5*z + 3*l + 2*l + 65 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 34687674.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 903436.\nAnswer: 2, 225859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22\/5, -163.903, -0.5 in decreasing order.\nAnswer: 22\/5, -0.5, -163.903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + -36. Is b > -3\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15, 5, -29, -99, -217, -395?\n\"Answer: -2*j**3 + 4*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/(-15))\/(4\/(-6)). Let v be (-828)\/(-8) - 3\/x. Let q = -47 + v. Is q a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*w + 4657 - 587. Suppose -147 = -d - w. Calculate the remainder when 114 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 41384 (b) 1\/5 (c) 3\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(34)\/((-4*sqrt(10))\/sqrt(5)).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 24*j + 14. What is c(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 11*k. Let w(s) = 46*s + 2. Calculate w(v(x)).\nAnswer: 506*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/45)\/((-14)\/546).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 10:40 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/5)\/((-651)\/620)*-14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -1353*u**2 + 3. Let k(q) = -5*q. Calculate k(f(a)).\nAnswer: 6765*a**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10410678119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 5*j**2 - 5*j - 1. Let n be r(6). Suppose 0 = -9*o + n*o + 48. Let d = -14 + o. Put d, 2\/5, -0.01 in ascending order.\nAnswer: d, -0.01, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -879*i - 15371. Calculate k(-18).\nAnswer: 451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 216940790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + sqrt(272)*-5)**2 + (sqrt(153)*-1)\/sqrt(9))*-1.\nAnswer: -4352 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = i - 11, 0 = 5*i - 4 - 6. Suppose -j + 128 = 4*y + h*j, -2*j + 33 = y. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21771 + 33287. What is the least common multiple of b and 6?\nAnswer: 34548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7523665?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109370090 is divided by 3898.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1527959 is divided by 29956.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11874*m**3 - 90875*m wrt m?\nAnswer: 71244*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -49.390244 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*x = -81*x. Let g be (x - -1 - -2)*(-205600)\/6. Round g to the nearest one thousand.\nAnswer: -103000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*o + 49*o + 1729. Let u be ((-1)\/38)\/(o\/14 - 7). Suppose -y = -2*y - 1. Is u greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**5\/60 + x**4\/3 - x**3 - 17*x**2\/2 - 48*x. Let f(q) be the first derivative of s(q). What is f(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34072?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 847, 1623, 2399, 3175, 3951?\n\"Answer: 776*y + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (81 + 5 + -2)*10. Calculate the common denominator of ((-1953)\/l)\/((6\/4)\/1) and 25\/38.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3 = -2*s + 6, -2*s = 2*g - 10. Suppose 2*l - 2*c = 16108, 32213 = -2*l + s*l - c. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**3*o**(-5\/6)\/o*(o*o\/o**(1\/13)*o*o)\/(o*o**(1\/23)*o*o) assuming o is positive.\nAnswer: o**(5465\/1794)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4 + 0 = 0. Suppose -x*y + 143 = -259. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 485.615 + -486. What is z rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9512 less than -9512?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5620.077 micrometers to nanometers.\nAnswer: 5620077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 10 - 3 - (-45 + -17).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -1250\/3 - 1000\/3*a - 100*a**2 - 2\/3*a**4 - 40\/3*a**3 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one sixth of a minute?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6324*z + 31626. Determine b(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 12. Suppose 36 = -h*j + 9*j. Factor -5*m**2 - 4*m**2 + 3 + m**3 - 4*m**3 - j - 9*m.\nAnswer: -3*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.73 - -3.73. Which is the closest to 0.4? (a) 0.02 (b) l (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 2\/11 (c) -125\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**5*y)\/y**15)**(-2\/9) assuming y is positive.\nAnswer: y**(16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - (18 + -57)) + -46 + (-3 - -1)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l**(-2\/3)\/l)*l*l))\/(l*l**(-1)\/l)*l**(5\/3)\/(l**11\/l) assuming l is positive.\nAnswer: l**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 7 + -17 + -9.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-1) - 9\/(54\/(-24)). Suppose -l = 2*z - z - 17, 4*z = 2*l + 68. What is the remainder when z is divided by ((162\/10)\/9)\/(6\/n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2857*g - 2852*g - 1601*g**3 + 5710*g to c*g + p*g**3 + z + b*g**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90558 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28193 = -16*o + 927. Let a = 3219 - o. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 1. Suppose 2 = -5*c + 32. Let t be a(c). Solve 0*m = t*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 - (10 - (1 - -3)). What is the least common multiple of 63 and -4 + l*3\/((-6)\/242)?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*l - 6. Let z be (6\/24)\/(2\/l). Let q = z + 11. Solve -3*m + 2*m - 4 = x, -3*x = m + q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -y + 2*o - 22, -4*y + 76 = -4*o. Let v be (2 - 23\/y)*12\/(-42). What is the smallest value in -2, 0.3, 7, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1379237770 to the power of 1\/2, to the nearest integer?\nAnswer: 37138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14483132, -28966262, -43449392, -57932522?\n\"Answer: -14483130*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 44\/7 in 1\/4, 2\/3, -10\/1033, -5, -0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -14, -1, 4, -67, 5, -5.\nAnswer: -67, -14, -10, -5, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + n**2 + 2*n + 1. Suppose 19 + 6 = -b + 5*r, 0 = 4*b + 3*r - 15. Let g be x(b). Let a = -3 + 5. Put -1, a, g in increasing order.\nAnswer: -1, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-18)*n*n*n**(3\/2))\/(n**(-4)\/n**(-11)))**(5\/9) assuming n is positive.\nAnswer: n**(-215\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5165847 to the nearest integer?\nAnswer: 2273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121283?\nAnswer: 121283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89\/390 + 1\/26. Let x(d) = d**2 - 9*d. Let i be x(7). Let r = i - -13. Which is greater: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.005 (b) 24 (c) -2\/11 (d) 67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a + 2. Let b be c(-2). Let r = -6 + b. Let n = -66 + 110. Calculate the highest common divisor of r and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1104862 and 16572930.\nAnswer: 16572930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90 + -89.8. Sort 5, 0, 2\/7, s in descending order.\nAnswer: 5, 2\/7, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -373327.\nAnswer: -746654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 - 55. Let h = 5.12 + -0.12. Which is the closest to -1? (a) h (b) l (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1238373175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 4380016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4495*c**2 + 24948*c wrt c?\nAnswer: 8990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -1, 3\/5, -9, 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -418 by 116.\nAnswer: -209\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/7 - -1)\/(325 + (47 - 369)).\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1.3 (b) 1\/5 (c) -1\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 39\/2 (b) -0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.41804 * -0.2.\nAnswer: -1.283608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*d - 28. Solve d*b + 0*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91 times -740\nAnswer: 67340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + 2*z**2 - 4*z)*(-132*z + 335*z + 164*z).\nAnswer: 734*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0386 + 51.56?\nAnswer: 51.5214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -164722 - 1013748000.\nAnswer: -1013912722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336) + sqrt(336)*-3 + sqrt(336) + sqrt(336))\/sqrt(12) - sqrt(2016)\/sqrt(2))\/(sqrt(24)\/((sqrt(6) + sqrt(12)\/sqrt(2))*-4)).\nAnswer: 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 96943078*o**3 - 418179*o**2 - 69 wrt o.\nAnswer: 581658468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 333*j - 50*j - 27 + 6 + 2*j**2 - 91*j.\nAnswer: 2*j**2 + 192*j - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*y + 68*y - 39*y)*(-5 + 3 + 3)*(3 - 3 + 2).\nAnswer: 166*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -32835, -32803, -32771, -32739?\n\"Answer: 32*f - 32867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190223 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9*f + 406. Determine q(-46).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, 17\/5, -213487, -4?\nAnswer: -213487","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*s**3 + 8*s**3 - 3 + 1)*(-49 + 15*s + 49) as g + k*s**2 + p*s + a*s**4 + i*s**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.153359 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 11670 - 2*c - 1969 + 6062 as z*c + i and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 589, 1182, 1779, 2380, 2985, 3594, 4207?\n\"Answer: 2*r**2 + 587*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 7 - 2) + 12 + -12 + 72?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14910?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-54)*-3)\/(584\/(-3942)). Let p(s) be the first derivative of z*s**2 - 28 + 1\/8*s**4 + 0*s - 7\/6*s**3. Determine k, given that p(k) = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256559.\nAnswer: 173, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -a0 (base 12) to base 2\nAnswer: -1111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s - 272. Let r(c) = 3*c - 79. Calculate y(r(a)).\nAnswer: -9*a - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.1, -4, 538?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 18*x**3 - x - 1. Let m be c(-1). Let a be 0 + m\/15*1. What is the nearest to -1 in 0.1, a, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-30.35\nAnswer: 12.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**5 - 16*m**4 + 772*m**3 + 16*m**2 - 768*m = 0. Calculate m.\nAnswer: -16, -1, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**9*t**19*t**18\/t**5)**(-18) assuming t is positive.\nAnswer: t**(-738)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2709 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -475077.34 from -0.8.\nAnswer: 475076.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-204)\/(-108)*4662\/(-4144)?\nAnswer: -17\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 110?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2 - 1088*t + 147968 = 0 for t.\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -858207121243\/2388 - -359383223. Let b = m - -7\/398. What is the common denominator of b and (2\/(-12))\/(10\/(-321))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193626771.49614 - 0.13.\nAnswer: -193626771.62614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**4\/13 + 32*m**3\/13 + 34*m**2\/13 = 0. What is m?\nAnswer: -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -320*o. Let p(u) = -126774*u. What is p(d(t))?\nAnswer: 40567680*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50776*r*u + 10259639*r - 113*u - 4 wrt u.\nAnswer: 50776*r - 113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-4) - -4)*2\/12.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**4 + v**2 - v**2)*(0 - 6 + 3).\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -77974010*r**3 - 72190642 wrt r?\nAnswer: -233922030*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -52? (a) -1\/7 (b) 0.5 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157 - 83*o**2 + 95*o**2 + 157.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1407249073 to the power of 1\/3, to the nearest integer?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 - -108. Suppose 3*k + 12 = 4*k - 3*o, 4*k - y = -5*o. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51745464 by -168552.\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11067 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 333 + -333. Suppose z*s = s - 6. Solve -2*j - 2 = -s for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-396)\/176 - (3 + -5))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a**2 + 2*a - 8. Let f(c) = -4*c**2 + 3*c - 2. Let l(o) = -5*o**2 + 4*o - 1. Let s(r) = 3*f(r) - 2*l(r). Let q(i) = 3*n(i) - 7*s(i). Give q(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14630, 117224, 395772, 938276, 1832738?\n\"Answer: 14667*m**3 - 25*m**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -55526 - 41224. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6908b4b + 8?\nAnswer: -6908b43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t = 24*t. Suppose t = -2*k - v + 545, 4*k + 2*v - 1084 = 6*v. Let l = 401 - k. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*l - 5*j + 6*j, -4*l + 9 = 3*j. Solve -l*q - 8 + 0 = -2*c, -5*q = c - 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -35 (b) 2 (c) 398 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/26445 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14459084?\nAnswer: 2, 359, 10069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 10 = -3*o. Suppose -2*y + 0*q - 1177 = q, -o*q + 2319 = -4*y. What is y rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1188, -9447, -31864, -75519, -147492, -254863?\n\"Answer: -1180*a**3 + a**2 - 2*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 457 - -93?\nAnswer: 53a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 82204 and 83154 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2214, 4425, 6636, 8847, 11058, 13269?\n\"Answer: 2211*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 + -61.2. What is the second smallest value in 0, 22, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -0.667?\nAnswer: -0.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + -0.19. Let c = 62 - 59. What is the second biggest value in r, c, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 16*o**2 + 31*o - 4. Let k be v(18). Let p = k - -98. Calculate the highest common divisor of p and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -6. Let v(z) = -2*z - 4. Let t be v(y). Let c(d) = 11*d - 6. Let h(n) = -27*n + 15. Let j(q) = t*c(q) - 5*h(q). Give j(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 20 = 3*z. Let x be (-2 - -1)*z\/2. Find the first derivative of -9 + 4*c**2 + 0*c**2 + x wrt c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 13*d - 153. Let v be k(18). Let y = -33 + v. Is y a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 2*o**2 - 16*o + 31. Let r be h(6). Solve -3*f + r*f + 35 = -5*d, 4*f + 16 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379718986.\nAnswer: 2, 189859493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence suw when three letters picked without replacement from {s: 1, v: 4, m: 1, u: 2, w: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.5 - 31.5. Let m = -0.001 - -0.001. Sort m, y, -0.4 in descending order.\nAnswer: m, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5695 bigger than -1235677\/217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11088 divided by -264.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10977055.\nAnswer: 5, 2195411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10775, -10954, -11133, -11312?\n\"Answer: -179*n - 10596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 36, 76, 116, 156, 196, 236?\n\"Answer: 40*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 143.5 - 143. Put 10, -1, f in descending order.\nAnswer: 10, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.468655 millilitres in litres?\nAnswer: 0.001468655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1346 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**7\/210 - f**6\/120 - 19*f**4\/8 + 4*f**2 - f. Find the second derivative of t(h) wrt h.\nAnswer: -12*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/4 and -23.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-828)\/92*2*10\/(-36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 859 is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 o when three letters picked without replacement from eoeezeza?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 6:11 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 2. Suppose -j = -s - 0*s. Let r be (-2)\/6 + (-13)\/(-3). Solve -s = r*q - q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4439008 - 4438878 - 2*g + 3*g. Let z(j) = 11*j**2. Calculate z(a(y)).\nAnswer: 11*y**2 + 2860*y + 185900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/1782*-11*-3.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -156.411 rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.43 minus 4?\nAnswer: -32.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 48 - 13. Let w = 22\/3 - m. Let q = 2781\/11 + -253. Which is the third biggest value? (a) q (b) w (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4752, 4737, 4718, 4695, 4668?\n\"Answer: -2*j**2 - 9*j + 4763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -7*x + 32. Let l be 6\/(-16) - (-670)\/80. Solve l = -x*u - 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 35*s - 259. Let o be b(45). Is 189 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000496191241 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**2 + 110*p - 200 = 0.\nAnswer: 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -70051588 minus 5684?\nAnswer: -70057272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 45 = 8. Suppose -d + 2 = 0, -2*d - c + 13 = -2*t. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*17\/(-119) + 2)*(-19 - 2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/26 + (3 - 2). Let h = 40.9 - 38.9. Sort h, -5, x in descending order.\nAnswer: h, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 16 = k, -2*k + 7*k + 3*p - 90 = 0. Suppose 0 = -y + k + 4. Let q = 38 + -16. Solve 4*t + 2*n + 9 = y, 3*t - q = -4*n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 99862176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 8\/7, -1\/3362, -2\/3?\nAnswer: -1\/3362","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 10*t + 5*t + 3634 = 0, -4*t = 2*a - 2424. What are the prime factors of a?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {o: 8, d: 2, r: 3, g: 6}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 13. Factor 39*a**3 + 25*a**g + 0*a**5 - 18*a**4 + 3*a**5 - 61*a**2 + 12*a.\nAnswer: 3*a*(a - 2)**2*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1 + 0)\/(220\/(-891)) and -72\/455.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -0*f - 4*f, 97*x - 1368 - 778 + 190 = 8*f - 4*f for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 2\/293 (c) 0.1 (d) -5 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40971241.\nAnswer: 17, 141769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -g - 11 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + u - 1. Let w(p) = 4*p**2 - 2*p - 1. Let j(v) = -6*s(v) - 3*w(v). Differentiate j(o) wrt o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 5. Let s be x(-4). Let y(g) = g**2 + 4 + 4 + s + 6*g - 3. What is y(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 10*w**2 + 22*w. Let k(a) be the second derivative of -7*a**4\/12 - 5*a**3\/2 + 2*a. Let n(p) = 7*k(p) + 5*r(p). What are the prime factors of n(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18426 = 188*v + 18238*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 13 = 3*m - 2*o, -2*o + 2 = 0. Let q be 0\/(m\/(10\/(-6))). Suppose 4*z - 3*h - 1051 = q, -536 = -2*z - 0*h - 2*h. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*(4*(-1*sqrt(363) + 0) - -2*(-4*sqrt(363) + -5)))**2.\nAnswer: 211200*sqrt(3) + 4189760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 - -62.1. Let u be (-4*(-2)\/(-120))\/((-3)\/18). What is the nearest to 0.01 in v, u, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1088, -2185, -3284, -4385, -5488, -6593, -7700?\nAnswer: -8809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12721789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 12*i**2 + 12*i - 11. Suppose 4*t - 6*t = -22. Let k be r(t). Let g(p) = p**2 + k*p + 0*p**2 - 1 + 3 + 6*p. Determine g(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 7*i - 24. Let l(s) = -77*s + 852. Let d be l(11). Give q(d).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**4 + 112*m**3 - 2652*m**2 + 7112*m - 4576 = 0. What is m?\nAnswer: -44, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/3 + 11 + 3 + -17.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137815109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/2*(-688)\/(-602). Let y(t) = 39*t + 9. Let j(r) = -20*r - 5. Determine q*y(x) - 7*j(x).\nAnswer: -16*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**5\/3 - 928*h**4\/3 + 4844*h**3 + 345120*h**2 + 3076650*h = 0.\nAnswer: -477, -15, 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**5\/3 - 74*s**4 - 8024*s**3\/3 - 31008*s**2 + 32128*s\/3 + 125216 = 0?\nAnswer: -43, -42, -26, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28 + 24 + 62)*(35 + 11*b**4 - 35) to q*b**4 + p + r*b + a*b**2 + i*b**3 and give q.\nAnswer: 1254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w**3 + 2*w**2 - w - 1. Let k be m(-1). Let u be (21 - 18\/k)\/3. Solve x - u = -4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-5 + sqrt(272) - ((3*sqrt(68))\/sqrt(4) - sqrt(17) - sqrt(17) - sqrt(17))) + -3*(1 + sqrt(833)) + 0 + sqrt(833)*3)**2.\nAnswer: -104*sqrt(17) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2551, -3663, -3319, -1519, 1737, 6449, 12617?\nAnswer: 20241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7389 times -1042?\nAnswer: 7699338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 h when four letters picked without replacement from hxxhhxhhxxxhhxhh?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 2*u + 4 - 3*u + 5*u**2. Let a(s) = 2*s - 1145*s**2 + 1148*s**2 + 3 - 2*s. Give 3*a(c) - 2*y(c).\nAnswer: c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2347782 is divided by 6293?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -251*v**5\/10 + 691*v**4\/24 - v**3\/3 + 22*v**2 - 22*v. What is the second derivative of l(n) wrt n?\nAnswer: -3012","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -229\/6 + 377\/10. What is the common denominator of ((-39)\/(-26))\/(27\/(-24)) and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 7*h - 10. Suppose 22*n + 62 = -114. Determine k(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -296269082 or -592538165\/2?\nAnswer: -296269082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 53. Suppose -5*t = -33 - h. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 0*q**2 + 3*q**2 - 2*q**2. Let j(d) be the first derivative of 0*d - 3 - 1\/2*d**2. Give j(z(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**5\/60 + 11*z**4\/24 + 5*z**3\/3 + 24*z**2. Let k be c(-11). Solve k = 2*l - 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by (1\/(-1))\/(3\/(-18))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493 is divided by 491?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, e: 2, v: 2, l: 1}. What is prob of sequence elv?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 17*g**3 - 13*g**2 + 11*g + 11. Let h(k) = k**3 - k**2 + k + 1. What is 2*d(z) - 22*h(z)?\nAnswer: 12*z**3 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**4 + 4*s + 1. Let h(g) be the first derivative of -9*g**4\/4 - 9*g - 1. Calculate 5*a(i) + 2*h(i).\nAnswer: 2*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10, 17, 32, 61, 110, 185, 292?\n\"Answer: a**3 - 2*a**2 + 6*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4940*u**2 + 24*u + 29. Let a be d(-1). Round a to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -267286.\nAnswer: -1\/267286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 12) in base 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - g - 5*w = 6, -145*g + 5*w - 3 = -143*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -2, 51, 22, 155.\nAnswer: -3, -2, 1, 22, 51, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 391.1649 months?\nAnswer: 3.2597075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 193152 and 7781913.\nAnswer: 1509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 less than or equal to 2619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -5 (c) -0.1 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*j**3 + 1 + (1 - 1 + 1)*(-j + j - j**3).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*y + 0*y - 3*y)*(2 + 2 - 2) - 2*y - 95 + 90 - y to o*y + r and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 10*r. Let l(t) = t**2 + t + 1. Let d(q) = -9*q**2 - 5*q - 5. Let z(n) = 3*d(n) + 15*l(n). Calculate z(v(i)).\nAnswer: -1200*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g - 100 = -13*g. Let v be (-15)\/g + (-421)\/(-4). What is v rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182 - 13 = -39*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*((-80)\/12)\/(-1). Suppose 0 = -2*y + 4*r + 40, -y - z = -2*y - 4*r. Solve x + 4*x + 4*s + 21 = 0, 5*s = 3*x + y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/13? (a) 2\/11 (b) 60 (c) 1\/5 (d) -8\/9 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9057 >= 160823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 13, q: 6}. What is prob of picking 1 q and 1 g?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 3*q - 1920 = 0. What is the least common multiple of 2 and q\/(-9) + (-30)\/18?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31091, 62382, 93867, 125546, 157419?\nAnswer: 189486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1750 (base 8) to base 3.\nAnswer: 1101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdls when four letters picked without replacement from {l: 2, h: 3, s: 1, d: 4, g: 2, r: 2}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -12, 0 = 315*y - 319*y - f + 24 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/297 - 4\/(-44)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1090*i**4 + 13*i**2 - 50265 wrt i?\nAnswer: 4360*i**3 + 26*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 126*r**2 + 109*r - 2331. Determine u(-127).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50 + 49.9. Let l = -62 - -60. Let q(t) = 2*t - 5. Let j be q(4). Sort l, j, o in ascending order.\nAnswer: l, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**7\/420 + r**6\/480 - r**5\/80 - r**4\/96 + r**3\/24 + 2*r**2. Factor x(w).\nAnswer: (w - 1)*(w + 1)**2*(2*w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 57 and -0.464.\nAnswer: -26.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/10 + 318\/30. Let v(w) = -23 + 12*w - 3*w - 6*w. What are the prime factors of v(r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(152) - sqrt(152))\/(sqrt(80)\/(-4*sqrt(10))).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -20*r - 115. Suppose -4*c - 5*x - 13 = -2*c, -51 = 3*c - 3*x. What are the prime factors of w(c)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/70 - (-24)\/(-14). Let a(w) = -2*w - 21. Let u be a(-8). Put u, z, 3 in descending order.\nAnswer: 3, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 107 (c) -4\/3 (d) 2.6 (e) -1 (f) 0.2 (g) -171\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-28)*42\/(-18).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 31*h**2 + 213*h - 43. What is t(21)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**3 + i**3 - 6*i**3)*(49 - 1018*i - 49).\nAnswer: 2036*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**4\/12 - o**3\/2 + 5*o**2 - 2*o. Suppose v - 6 = -2. What is the tens digit of w(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-50))\/(1403\/(-305))?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -13 - (50 - 44)) + -114.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-408)*(-12)\/3\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6*s**3 - 9*s + 42. Let r(d) = 8*d**3 - 14*d + 63. Let q(c) = -5*r(c) + 7*t(c). Let i(h) = h**3 + 3*h - 11. Determine -7*i(w) + 3*q(w).\nAnswer: -w**3 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7168 - 21499\/3. Let d(n) be the second derivative of 25*n + 0*n**2 + 0*n**3 + 11\/10*n**5 - q*n**4 + 0. Find the third derivative of d(g) wrt g.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide ((2 + -41)\/(-117))\/(2 + 154865\/(-77433))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 12 + (-16)\/5)\/1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2565294 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6021*b - 3379. What is the hundreds digit of c(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 570\/76*(92\/12 - 1). What is the greatest common factor of 850 and v?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -40*y**4 - 8*y**2 - 50. Let l(p) = 27*p**4 + 5*p**2 + 33. Let n(j) = 8*l(j) + 5*u(j). What is the first derivative of n(w) wrt w?\nAnswer: 64*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -8*g + 65. Let r be y(8). Sort 2, r, 0, -3 in increasing order.\nAnswer: -3, 0, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356724428.\nAnswer: 2, 73, 1221659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by -1937?\nAnswer: -21\/1937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13, 57, 131, 235, 369, 533, 727?\n\"Answer: 15*q**2 - q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23407 and 159904.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -269 + 264. Let u = -6 - 2. Let j = u - -3. What is the nearest to o in -3\/4, j, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194 = 3*s + 4*n, -3*n + 0 = -15. Calculate the greatest common factor of 29 and s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t. Determine w(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 11 (b) -0.6 (c) 825\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -192.861 + -0.139. Let w = c + 247.4. Let a = -48 + w. What is a rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 5:15 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h - 1. Let p be t(-2). Suppose 0 = -2*r + 10*r - 16. Sort r, p, 4 in descending order.\nAnswer: p, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143 divided by -433\nAnswer: 143\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-30)*(-22512)\/288904\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 76.97 (b) -1 (c) -1\/4 (d) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (331*p**2 + 8725 - 8725)*(5*p + 4 - 4) in the form j*p + v*p**2 + f*p**3 + c and give f.\nAnswer: 1655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -45210043 (base 6) to base 16\nAnswer: -14e72b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8983.429 microseconds to milliseconds.\nAnswer: 8.983429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7 - -0.5710679?\nAnswer: 4.2710679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/3))**35\/(n**0*n*n*n)**(-2\/39) assuming n is positive.\nAnswer: n**(461\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11101 (base 2) to base 9\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -0.1, 4087, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bha when three letters picked without replacement from ahaavvzbaahvabvababa.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 866 - 865. Which is bigger: 0.1774 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1702*q**4 - 2*q**2 + 1965. Let g(u) = 1703*u**4 + 3*u**2 - 1967. Let n(i) = 3*g(i) + 4*z(i). Find the third derivative of n(v) wrt v.\nAnswer: -40776*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2002200001 (base 3) in base 5?\nAnswer: -2310221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -597 = v - 4*a, 4*a - 1287 + 101 = 2*v. Calculate the common denominator of -83\/84 and v\/1386 - (-12)\/(-132).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -207*w + 11. Suppose 10 = -4*l + 6. What is the hundreds digit of z(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/10)*b*b**(-23)\/b*b*b*b)\/(b**(-1)\/b**(-9)) assuming b is positive.\nAnswer: b**(-277\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/44 + (-96026)\/99. Let k = j + 968. Find the common denominator of k and 3 + (5985\/(-12))\/19.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**2 - 3 - 4*x**2 + 0 + 3*x + 12*x. Suppose -60 = 9*r + 75. Let q be k(r). Put q, 6, 5 in descending order.\nAnswer: 6, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -316 + 697. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 577 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39240 divided by 6.\nAnswer: -6540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -10*m + 2*q, 224*m - 223*m = 3*q - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 w when three letters picked without replacement from {m: 1, o: 4, w: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9619434?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 686 + -682. Suppose -2*y - s + 37 = -288, -v*s - 4 = 0. What is the remainder when y is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -177*q + 181*q - 54, -q - 113 = 5*h for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r - 35. Let g be c(19). Round g to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, s: 6}. Give prob of picking 2 r and 2 s.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (5 + -3 - 4) + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1786825 is divided by 96?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8*(1 + 9\/(-6)). Let l be 1*z - 3\/3. Suppose 0 = l*x + 4 + 5. Which is greater: x or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = 5*d + 7*l, 5*l = d - 292 + 279 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 471, 778, 1317, 2112, 3187, 4566?\n\"Answer: 4*r**3 + 92*r**2 + 3*r + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/157835488 - -2201371007369\/416527852832. Let q = p - -1\/1508. What is the common denominator of q and -28\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 3*h - 3. Let t be b(-2). Let c be 2 + -2*t\/(-2). Let u = c - -2. Solve -u*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -605, -1269, -1943, -2627, -3321, -4025?\nAnswer: -4739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 242604216 to the nearest integer?\nAnswer: 15576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**7\/630 - b**6\/120 + b**5\/60 - b**4\/72 + 5*b**2 + 3*b. Let o(n) be the first derivative of g(n). Factor o(p).\nAnswer: p*(p - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - w**2. Let s(i) = 11*i**2 - 4*i + 7. Let a(h) = -s(h) + 2*z(h). Calculate the least common multiple of a(-7) and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p = 15. Suppose -g - 4*g - p = 0. Let q be ((-3 - -8) + g)*2. Solve 0 = -5*u + 4*x - 2*x + 9, 0 = u + q*x - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -4*f - 1251*y + 1247*y, 0 = -4*f + 5*y - 23 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 221*k - 39 = -0*u - 227*k, -2*u + 3*k - 2 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -468480\/199 or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**2 + t + 1. Let p be w(-2). Suppose -b - 4*b = -p. Calculate the highest common factor of 9 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2059100 divided by 1?\nAnswer: -2059100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/5))**18\/(y*y\/y**(-1\/9)*y\/(y*y*(y*y\/(y*y\/y**(1\/6))*y)\/y)) assuming y is positive.\nAnswer: y**(239\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -34, 0.2, 23 in descending order.\nAnswer: 23, 16, 0.2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = r - 6*r. Suppose 6*s = r*s. Is -5\/4 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215 = 37*m + 170 - 436 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21233, -42513, -63793, -85073, -106353?\n\"Answer: -21280*p + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -10. Suppose i - 57 = -a*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 122.35, -0.5, 5, -0.1, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 364\/90 + -2 + -2. Let d = 139\/90 - t. What is the third biggest value in 0.4, -9, d?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 4*k + 5. Let h(f) = -f**2 - 9*f - 6. Calculate the remainder when a(-5) is divided by h(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 1 = 4*h + 86, 4*a - 4*h - 68 = 0. Solve j - 12*t + 7 = -8*t, t = 4*j - a for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 9828968?\nAnswer: -9828971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*n - 1)*(-166*n + 11*n**2 + 166*n) + n**2 - n**2 - 2*n**3 to the form r*n + x*n**3 + a + d*n**2 and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.4 + 1.40000128. What is g rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*n*q**3*r + 85302139*n*q*r**2 + 26*q**3*r + 51*q**2*r**2 - 11646*q*r - 1 wrt n?\nAnswer: -4*q**3*r + 85302139*q*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1257870642 less than -0.3?\nAnswer: -1257870642.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -74.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3105\/13 + 239. Let u = -286 - -283. What is the third biggest value in u, -1\/2, x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2803624 divided by -7\nAnswer: -2803624\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 1 = 4*f - 3*m, f = 2*m - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -164129*p**4 + 124201 wrt p?\nAnswer: -656516*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7404*z + 3973. Is p(18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + a6800?\nAnswer: a67a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*y - 11, 2*y = -4*h + h + 3. Let m = y + -24. Is (-716)\/(-6) - (-5)\/m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 4\/3, 5.79, -0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-56) - (-90)\/84)\/((-5)\/(-2)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 3*d - 4 + (12 + 18 - 4)*(-4*d + 3*d + 0*d) + 0*d + d - 3*d.\nAnswer: -25*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299011 is divided by 2333.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**(-17\/4)\/((w\/(w\/(w**5*w)))\/(w\/w**(1\/15)*w)) assuming w is positive.\nAnswer: w**(11\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 11*g**2 - 31*g - 29. Determine m(-13).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -352850\/89 and -3964 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c - 12\/7 + 2\/7*c**3 + 0*c**2 = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**2 - 3310233*i**3 + 5*i**2 + 3310231*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -13*c - 1. Let t be a(-1). Find x such that -4*x**3 - 18*x**3 - t*x**2 - 46*x**3 - 12*x**2 - 4*x**5 - 32*x**4 - 16*x**2 = 0.\nAnswer: -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 593*z. Let w(l) = 4*l**2. Calculate w(b(t)).\nAnswer: 1406596*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 - 73*k**2 - 72*k**2 + 147*k**2 + (89 + 28*k - 89)*(-k + 2*k + k) + 0*k**2 + 2*k**2 - 4*k**2.\nAnswer: 56*k**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56.968 - 0.032. Let v = 2539 - 2483. Let h = w + v. What is the fourth biggest value in 1\/3, -2\/21, -2\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.7893104 + -13.2?\nAnswer: -41.9893104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -11149*q - 3734957. What is u(-335)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/3565 and -3\/153974.\nAnswer: 548917310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -787414 divided by -393707.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00021369 rounded to 6 dps?\nAnswer: -0.000214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - x + 2 = 0, -881*o + 876*o = -2*x + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7574 or 7580?\nAnswer: 7580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 210563 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -395, -282, -1, 532, 1401, 2690, 4483?\n\"Answer: 14*c**3 + 15*c - 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*n - 136 = 0, -170 = -5*c - 3*n - 2*n. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105863636.\nAnswer: 2, 31, 853739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-25)\/(-3) - 1\/3. Let k(x) = x**2 - 7*x + 2. Let t be k(m). Solve -r = r - t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.35, -0.2, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -69*v**3 + v**2 - 10*v. Let b be d(10). Round b to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -1\/4*m**4 + 8*m - 1\/30*m**6 - 2\/3*m**3 + 1\/5*m**5 + 2*m**2 + 0. Factor h(z).\nAnswer: -(z - 2)**2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 + 2 + 84*h**3 + 114*h**3 - 87*h**3 to m*h + j*h**2 + z + i*h**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*l - 6. Put -3, 1, l in increasing order.\nAnswer: -3, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 7. Let c(o) = 3. Let m(p) = 4*c(p) + w(p). Calculate m(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63798 and 434?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4516 + 4603. What is the remainder when q is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-15))\/(32\/800).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3\/2*o**3 - o**5 - 9\/4*o**4 + 0 + 0*o - 1\/4*o**2 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 6:21 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62.2 - 62. Let r = -0.05 + -4.95. What is the closest to 1\/5 in -3, h, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/324*30)\/((-9)\/81)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 9:46 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 9, 24, 65, 144, 273, 464, 729?\nAnswer: 1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 4:45 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 - 10151*o**2 + 28 + 12.\nAnswer: -10151*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1166*y = -1256*y - 1080 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2466*n*s + 14*n + 4 with respect to s.\nAnswer: 2466*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 253, 463, 731?\nAnswer: 1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3))**(3\/4)\/((t\/(t\/t**(-1\/2)))\/t)**(-1\/7) assuming t is positive.\nAnswer: t**(-13\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-4))\/((-2)\/(-8)*6).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + (3 - (3 - -4)). Let p be -4 - d - (-10 - -6). Let k be (0 + p)\/((-7)\/(21\/(-6))). Sort k, -9, -5 in descending order.\nAnswer: k, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 830 - 839. Let h(d) = -5*d - 42. Let f be h(b). Solve -2*m = f*m + 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1857579 = -1857579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q**3 + 2*q**2 - q - 2. Is p(2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 divided by 766.\nAnswer: -49\/766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6*u + 13. Let p be (-1)\/3 + (-28)\/6 + 2. What is the tens digit of i(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10492)\/305 + 35 - (1*-2 - (-348)\/(-20))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*k + 3964 - 1794 = 0 for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.4 - 4.5. What is the nearest to -1 in p, 0.4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -134*g**3\/11 + 8908*g**2\/11 - 114854*g\/11 + 106080\/11 = 0.\nAnswer: 1, 16, 3315\/67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**12\/m*m*m)\/(m**(1\/2)\/m) assuming m is positive.\nAnswer: m**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/32 (b) -61 (c) 5 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*v**3 - 11 + 11 + (-v + v - 1 + v**2)*(170*v - 2 - 19 + 22 - v + 2 - 2 + (-4 + 4 - 2)*(-v - 4*v + 7*v)).\nAnswer: 173*v**3 + v**2 - 165*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**3\/6 - 2*x**2 - 2*x. Determine q(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-3))\/(4\/(-6)). Let q = -0.8 + 1.8. Let p be (-11)\/(-1)*(-4 + 6*(-6)\/(-12)). Which is the closest to q? (a) g (b) -2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 28369.17 millilitres?\nAnswer: 28.36917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 2*i - 21, 3*c - 4 + 28 = -5*i. What is the nearest to 1 in 0.5, c, -10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3\/3 + 7514*b**2\/3 - 440858*b\/3 + 6416830\/3 = 0. What is b?\nAnswer: -3815, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1538039 is divided by 344.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 20 (c) 4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 600107 not equal to 600108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4131 - -2004422?\nAnswer: 2014103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (134 - 137) + (15 - 2) + 8?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2*t + 20, -15 = -5*x - 0*t + 2*t. Suppose -2 = -x*f + 3*f. Let k(l) = -f - 4 - 4*l + 4. Determine k(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 4\/7, 60030, 2\/5 in descending order.\nAnswer: 60030, 4\/5, 4\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2200111 (base 3) to base 7.\nAnswer: -5464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13381217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4949 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: Let i(v) = v**2 - 1876*v + 68040. Give i(37).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 0, 5 in ascending order.\nAnswer: -3, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -62*v**2 - 22*v - 32. Let g(m) = -14*m**2 - 5*m - 7. Let h(f) = 44*g(f) - 10*y(f). Let s(t) = 2*t**2. What is s(h(z))?\nAnswer: 32*z**4 + 192*z**2 + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(-1*sqrt(6)) + sqrt(33)\/(2*sqrt(11)) + (0 + sqrt(3) + -1 + sqrt(3) + sqrt(243)*-1 + sqrt(3))**2.\nAnswer: 23*sqrt(3)\/2 + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -16*m**2. Let l(c) = -35*c**2 - 84*c + 224. Let x(f) = -f**2 - 3*f + 8. Let k(g) = -5*l(g) + 140*x(g). Calculate h(k(q)).\nAnswer: -19600*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 84837?\nAnswer: -84837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120 (base 3) in base 13?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -706449, -706448, -706447, -706446, -706445, -706444?\nAnswer: -706443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1336028, -1336029, -1336030?\n\"Answer: -m - 1336027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b - 4. Let y(d) be the first derivative of 3*d**2\/2 + 4*d - 13. Let n(j) = -5*h(j) - 4*y(j). Let o be n(-4). Is o less than 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 150*o**3 + 38*o**2 + 24*o - 15. Determine a(-1).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-14)\/(-21))\/(1\/381). Suppose s = 3*r - 2*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 714, 817, 986, 1221, 1522, 1889, 2322?\nAnswer: 2821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b**2 - 5*b + 3*b**2 - 4 + 3*b**2. Let c = 19 - 31. Let s be c*(2\/3)\/(-2). Determine q(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72924?\nAnswer: 2, 3, 59, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 206, 468, 832, 1292, 1842?\nAnswer: 2476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 66 + -694561?\nAnswer: -694495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 333.03 - 333. What is the closest to -2 in -2\/5, k, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 8*z**2 - 8*z - 3. Suppose -9*s + 4*s = -30. Let q be f(s). What is the third derivative of 9*i**4 + 25*i**4 - 3*i**2 - q*i**2 + 2*i**4 wrt i?\nAnswer: 864*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 32?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 0.4, -2\/501, -1, -0.5, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -16*s**2 - 5*s - 5167. Let h(o) = 22*o**2 + 7*o + 7750. What is 7*c(d) + 5*h(d)?\nAnswer: -2*d**2 + 2581","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*b + 2*b, 3*g + 3 = 3*b. What is the remainder when 17 is divided by g\/8 + (-19)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a week in minutes?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 250 and 0.08.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**3 - y**4 - 206*y + 12*y**2 - 178*y + 385*y + 2 in the form g*y**3 + h*y**4 + d + z*y + o*y**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/2502052 and -65\/151312.\nAnswer: 70057456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cuzuuuczuukcuzkzuucu. Give prob of picking 1 z, 1 k, and 1 u.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2009, -4017, -6025, -8033, -10041, -12049?\nAnswer: -14057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 16*d - 70. Let a be x(21). Let v be a + ((-42)\/189 - (-68)\/(-18)). Suppose 5*b - 5*w = 14 + v, -b + 3 = 5*w. Solve -g = g - b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**4 - 10*k**3 + 87*k**2 - 140*k + 64 = 0.\nAnswer: -16, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 84*q - 89*q = -27, 3*b + 3*q - 27 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4 = -2*x, p - 5*x + 24 = 0. Let k be (-1 - 1) + (12 - 19). Find the common denominator of p - k*22\/(-48) and -63\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/4))**(10\/3))**(-1\/49) assuming o is positive.\nAnswer: o**(-5\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.088 + -209.308. Round d to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 2:56 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 388392764?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.2679 to two dps.\nAnswer: 10.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -4\/25*x**5 + 0 - 2\/75*x**6 - 4\/15*x**3 + 11*x - 1\/3*x**4 + 0*x**2. Factor s(h).\nAnswer: -4*h*(h + 1)**2*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*x**5 - 91120*x**4 + 2*x + 416151 wrt x.\nAnswer: -100*x**3 - 1093440*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 8:27 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 6:08 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25*f**3*r**4 + 6*f**3 - 92655*f**2 - 26259*r**4 wrt r.\nAnswer: -100*f**3*r**3 - 105036*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - 2*c - 30. Suppose -c*p - 3 = -7*p. Suppose -5*h + p*f - 3 = 0, 6*f - 2*f - 4 = 5*h. What is the smallest value in -18, -4, h?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*o - 413 = -64*o - 1043 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*u - 2988 = y, 5974 = 2*u - 3*y. Is 22 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*126\/(-28)*(-14900)\/(-894).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f**2 + 21*f + 12. Let y(p) = -3*p**2 - 10*p - 6. Let x(o) = 2*l(o) + 5*y(o). Suppose 3 - 15 = 3*m. Determine x(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39993099 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111001001010110 (base 2) in base 5?\nAnswer: 22134420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32172.\nAnswer: 2, 3, 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 1. Let q(b) be the third derivative of -b**5\/60 - 3*b**4\/8 - b**3\/3 - b**2. Let k be q(-8). What is j(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -131 + 133. Let f be (-2850003 - (h - 1)) + 32 + -28. Round f to the nearest one hundred thousand.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -0.3, -4, -0.08, -72069?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = 61*o - 18*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = t + 5*y + 38, 0 = 4*y + 4. Let r = 39 + t. Solve -r*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95 - -98. What is the second derivative of 21*f**3 - 52*f**d + 21*f**3 + 25*f wrt f?\nAnswer: -60*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -7*j**2 + j. Let d be p(1). Let u(s) = -4*s - 3*s**3 + 109 + 2*s**3 + s**2 - 114 + 4*s**2. Let c be u(4). Are c and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 5*z**4\/24 - z**3\/6 - z**2 - 2. Let h(t) be the second derivative of x(t). Give h(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -57398712.\nAnswer: 57398712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1540)\/126 + (-3 - (-58)\/18). Let i(a) = 28*a + 10*a + 10 - 8*a. Let m be i(p). What is m rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -969284*k**4 - 3*k**3*t + 77*k*t + 139368*k wrt k?\nAnswer: -11631408*k**2 - 18*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**5\/3 + 10*w**4 + 775*w**3\/9 + 110*w**2 - 3766. Determine z so that s(z) = 0.\nAnswer: -12, -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*sqrt(5)*-5.\nAnswer: -30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 670873190, 1341746379, 2012619568, 2683492757?\n\"Answer: 670873189*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -23990 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*k + 7*p + 112, 4*p = -3*k + 70. Suppose 6*l - k = 106. Let z = l - 3. Solve z = -3*a + 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 6331878 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + -6 + 37 - (-44 - -7).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3781 + 6716. Suppose 5*i + n = 3*n + c, 0 = 2*n. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21*11\/(-385))\/(8\/(-60)) - 12?\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -10\/11, -0.8, -0.4, 7\/78?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 338032630 a multiple of 1302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49263392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 13 = 3*q, 6 = 4*q - 4*c + 2. Let n be 1\/((-6)\/(-5) + q). Let o = n + -2. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eemmemmmmmemmmmeeem. Give prob of sequence meem.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 356 in 6, 3\/7, -4\/3, 0.024, -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -891, -931, -971, -1011?\nAnswer: -1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 0*g - 14\/3*g**3 - 1 - g**2. What is the second derivative of h(i) wrt i?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27921 + 195898\/7. Is f smaller than 63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7548?\nAnswer: 2, 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 326\/(-56) + 4\/(-56)*-8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5dd467 + -242?\nAnswer: -5dd6a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -121\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**3 - 126*w**2 + 185*w - 144. Determine q(30).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2 + 35*d - 226. Determine f(18).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -522 - -527. Suppose 0 = -c*m + 9*m, 5*q + 2*m - 15 = 0. Solve -5*n = -5*o - 5, -n + q*o - o = -3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8890 divided by -960.\nAnswer: 889\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(448)*3.\nAnswer: -4 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -1 + 21, 140 = 2*y - 2*a. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-42)\/(-5) + 9\/15. Let p be (5*(-16)\/(-20))\/(12\/y). Solve -r = -p + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 10, -9504, -2\/17, 0?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 73*h + 38*h - 4*h. Let s(g) = -154*g**2 - 164*g**2 + 491*g**2 - 169*g**2. Determine n(s(w)).\nAnswer: 428*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6*(-15)\/(-270))\/((-17)\/(-33)))\/((-125)\/(-250)).\nAnswer: -22\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32 and 42?\nAnswer: 1344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39 + 0.070298?\nAnswer: -0.319702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-6180)\/(-412))\/(((-40)\/(-36))\/2)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-4) + (-171)\/(-12) + 2. Suppose -m = 3*m + n. Let s be 0*m\/(-4) - 0. Solve 5*a - 2*a = s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g + 31*g + 60 = 0. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -4, 5, -12.6 in descending order.\nAnswer: 5, 0.3, -4, -12.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 501+0.237\nAnswer: 501.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -53584, -0.3, -4\/29?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(-1\/3)))\/n**(1\/4))**8 assuming n is positive.\nAnswer: n**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -6*x + 104. Let z be w(18). Let h be (94584\/238)\/12 + z\/34. Calculate the highest common factor of h and 594.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2 - 1 + f - 3*f + 5*f. Determine w(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q**3 - 19*q**2 - 3*q - 17. Calculate r(-6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 3*d = -290. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.22 - -0.08. Let i = c + -0.6. Let x = -35 - -34. Sort x, i, 2.\nAnswer: x, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*w - 4*z + 616 - 123 = 0, -3*z + 56 = -4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, x: 3, o: 2, q: 6, j: 1, f: 1}. Give prob of picking 1 f and 1 j.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-2))\/(-1)*6*-1. Calculate the highest common divisor of y and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51483*o + 401*o**4 + 628 - 51483*o wrt o.\nAnswer: 1604*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 13 + -46 - (-108 - -136).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 4410603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6590676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3224)\/(-143))\/(-31))\/12?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (459\/(-54) - -10)*(-2)\/12\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.7547 and 0.5?\nAnswer: 0.87735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -3320042401?\nAnswer: 3320042404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438 is divided by 35.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/56056 and -69\/6160.\nAnswer: 560560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-6))\/(27360\/(-6480))*-19. Factor -20\/7*o**d + 4*o**2 - 12\/7 + 4\/7*o.\nAnswer: -4*(o - 1)**2*(5*o + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -510 + 510.2. What is the third smallest value in c, -5\/6, -2\/3, 4\/7, 3\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 578, 566, 568, 602, 686?\n\"Answer: 3*y**3 - 11*y**2 + 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 5 (c) 2\/3 (d) 0.058\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 744658*a**5 + 358*a**4 - 15036953*a**2 - 2 wrt a?\nAnswer: 44679480*a**2 + 8592*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1203320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*c - 2*c**4 - 3347*c**2 + 1669*c**2 - 2*c + 1673*c**2 in the form x*c**3 + z*c**2 + v*c + t + d*c**4 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 8762788?\nAnswer: 8762788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 780 and 780?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w*w*w**(1\/8)*w*w*w)\/w))\/(w*w**0\/w)*(w\/w**(-1\/3))**(-22\/7))\/(w**5\/w**(-2)*w**(-1\/5)\/(w*(w\/(w*w\/w**(-6)))\/w)) assuming w is positive.\nAnswer: w**(-17737\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2 - 17*z**3 - 5.\nAnswer: -17*z**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7935337 litres in millilitres?\nAnswer: 793.5337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, l: 1, t: 1}. What is prob of sequence lt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8606?\nAnswer: 2, 13, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 36 = 5*i + 102, 3*i + 4*z + 35 = 0 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, l: 4, v: 3}. What is prob of sequence vvzl?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-130)\/4)\/5*-10. Let u be 51\/(-34)*(-104)\/6. What is the greatest common divisor of u and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 483 = 24*l - 435. Sort -27, 0, l, 1 in increasing order.\nAnswer: -27, l, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 0*n**3 + 0 + 0*n - 1\/24*n**4 + 85*n**2. Let j(u) = 7*u**2. Determine j(o(b)).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 160 + -100. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = b - 4*y, -b + 5*y + 56 = -65. Suppose -358 = -2*p - b. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 671519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 8*s**2 + 8*s + 2. Let u be 42\/(-9) + 8\/(-6). Let p(g) = g + 12. Let y be p(u). Let l be 1\/(15\/y) - 86\/(-10). Determine i(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*c - 94*c + 45*c = 22680. What are the prime factors of c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-25)\/m)\/m*m**2 assuming m is positive.\nAnswer: m**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 10 + f + f - 5*f. Suppose -148*n + 36 = -139*n. Let z be m(n). Let u(b) = -b**2 - 3*b + 3. Let w(r) = -r**2 - 2*r + 2. What is z*u(x) + 3*w(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 5*k + 19, 2*x + 4*k - 1 = k. Let q(j) = -5*j - 5. Is q(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*(7\/(-6) + 0). Let w(b) = b**2 - 7*b + 4. Determine w(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00034154076 rounded to 7 decimal places?\nAnswer: 0.0003415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of v**6\/60 - 7*v**5\/10 - 41*v**4\/8 - 79*v**3\/6 - 16*v**2 + 3739*v. Let x(u) = 0. Calculate u.\nAnswer: -2, -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 16*i**2 + 78*i - 24. What is z(-20)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/14? (a) 4 (b) 3\/4 (c) -3\/11 (d) -1\/3 (e) -158\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-1 - -4) + -7 + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/((u\/(u\/u**(7\/3)))\/u))\/((u*u**(-6)*u*u)\/u))\/(u**(-2)\/u**6))**(-1\/6) assuming u is positive.\nAnswer: u**(-19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 + 84 - 305 + 76 - 331*i + 75.\nAnswer: -331*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5903*a*u**4 + 19*a*u**2 - 46*a + u**2 wrt u?\nAnswer: -141672*a*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -61*q + 2679. Does 79 divide a(-83)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.67 + -0.7. Let k = -0.77 + u. Let s = -176 - -179. What is the second smallest value in k, -2\/7, 2, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-15 - -4) - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 11:17 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 12*p + 425. Suppose -3*d + d = -4*g - 96, 2*d - 112 = -4*g. Calculate the remainder when d is divided by v(-35).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((sqrt(280)*-2 + sqrt(280))*4)\/sqrt(8))\/(-4*sqrt(160)\/sqrt(8)) + -2)*-6)**2.\nAnswer: -72*sqrt(7) + 207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = -38*p - 39*p + 5848. Calculate the highest common divisor of p and 2074.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o**3 + 1661*o**2 - 3975*o + 5. Let x(q) = -6*q**3 - 1663*q**2 + 3978*q - 4. Let j(b) = 4*g(b) + 5*x(b). Find the second derivative of j(a) wrt a.\nAnswer: -12*a - 3342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15163489\/24747036 - 2\/363927. What is the common denominator of l and 83\/33?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 3:57 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**6\/3 - 2*c**5 - 4*c**4 - 8*c**3\/3 + 4. Solve x(w) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 6. Let k be 1 - g - (-200)\/4. Let r be 123 + (-2)\/(-1)*1. Calculate the greatest common divisor of r and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 0*y**6 + 0 + 0*y - 1\/120*y**5 + 1\/840*y**7 - 4*y**2 + 1\/24*y**3 + 0*y**4. Find t, given that u(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 11, l: 2}.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -3. Suppose 5 = 17*y - 29. Calculate the smallest common multiple of y and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 - 42*b**2 - 44*b + 20. Give m(-20).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*m = 270. Suppose 13*x - 10*x + m = 0. Is -29 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 12) to base 6.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*q + 32*q. What is o in 0*o + 0 + 6\/7*o**4 + q*o**2 + 3\/7*o**3 + 3\/7*o**5 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -1129a?\nAnswer: 112a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -16. Let n = 9 + l. What is the third smallest value in n, -2, 3\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -0.15, -2, 2\/3, 22\/5, 8, 87?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -733*o = -4*l - 732*o + 17, 4*l - 2*o - 26 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -129, -186, -241, -294, -345?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18177*z = -18169*z - 152 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 951553?\nAnswer: 951553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 22748488?\nAnswer: 22748488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2720497855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -169703.\nAnswer: 3\/169703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6756.0005 - -6759. Let j = 0.8 - 3.8. Let h = j + v. Round h to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234902 is divided by 1040.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) - 1*sqrt(78))*-6 - (sqrt(78) - sqrt(78)*3*3))\/((sqrt(2430)*-1)\/(sqrt(15)\/sqrt(3)*-3)))**2.\nAnswer: 832\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 17, j: 1}?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-4))\/(81\/486).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = f + 4*r + 32, -5*f - 5*r = 5. Solve b - 5*b = -5*i + 32, 4 = -f*b - 2*i for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(4\/11)\/h)\/h)\/h*h**(-24) assuming h is positive.\nAnswer: h**(-293\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**7\/1260 - 7*u**6\/720 - 17*u**5\/360 - 17*u**4\/144 - u**3\/6 + 471*u**2. Solve w(p) = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - g - g + 2, -3*g + 3 = 5*t. Suppose 5*h - 6*h - 40 = t. Is -39 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.05619 days in minutes?\nAnswer: 131120.9136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 213500 to the nearest ten thousand.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 13. Which is the third biggest value? (a) -2 (b) -5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 109322 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*p + 13 + 3, 0 = -5*p - 4*a + 26. Let s be 4\/(p\/(-2 - -5)). Let y(c) = -4*c**2 + s*c**2 + c**2. Let f(l) = -l. Calculate y(f(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*q + 14. Let x = -5636 - -5642. What is the remainder when q is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 3*m + 53, -4*h + 31 + 6 = -3*m. Suppose -15*r + 12*r = 150. Let s be (2\/4)\/((-5)\/r). Solve -15 - h = s*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a litre in millilitres?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 12*c**3 + 262*c**2 - 56*c - 25. What is p(-22)?\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1909656706 not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -99, -300, -619, -1068, -1659, -2404, -3315?\nAnswer: -4404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76282 - 76105. Let f be 1182\/4 - 2\/4. Calculate the greatest common factor of z and f.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 364 and 301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 16767*t + 2187*t**2 - 16767*t as p*t + s*t**2 + r and give s.\nAnswer: 2187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1223 - 385 = 52*k - 514 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/2*1 - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*q**2 - 1 - q**2 + 2*q**2.\nAnswer: 29*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 3. Suppose 47 = 2*y + 5*h, -i*y = -h - 31 + 2. What is the highest common divisor of y and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8587 is divided by 1630.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 343 + -342.9862. Round d to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160 by -8.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in sixty-one quarters of a meter?\nAnswer: 1525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**4\/12 + 5*f**3\/3 + 3*f**2\/2 - 3*f. Let w be b(-10). Let x be 80*(-390)\/w - 0. Round x to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**2 - 3*b + 1. Let i be n(3). Suppose f = i + 9. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*r**2 - 18*r**2 + 0*r**2 + 27*r.\nAnswer: 10*r**2 + 27*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 2 + sqrt(152)\/sqrt(8) + 5)**2.\nAnswer: 28*sqrt(19) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1519 + 5550. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and -3709.\nAnswer: -333.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h + 38*h = 13208. List the prime factors of h.\nAnswer: 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 188726126 and 23082.\nAnswer: 7694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 0. Suppose -19 = -5*o + 6. Solve -4*z = 4*x - 4, o*z + 4*x + 1 = u*x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14, 6, 46, 112, 210, 346, 526, 756?\n\"Answer: w**3 + 4*w**2 + w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37991?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 20 = -4*i. Let q be 1*(-1)\/1 - (10 - (-38 - -42)). Is q greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/22? (a) 0.024 (b) -3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 - 39969*i - 79950.\nAnswer: 3*(i - 13325)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 3*h**4\/8 + 23*h**3\/2 + 429*h**2\/4 + 363*h\/2 + 10933. Determine n, given that c(n) = 0.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.07742 + 0.072. What is s rounded to 4 dps?\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5237507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5567276?\nAnswer: 2, 11, 13, 9733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-28))\/((-10)\/(-210)*18)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - w - 2*w)*(1 + 5 - 5) - w + 0*w - w + (53*w - 15*w - 25*w)*(1 - 6 + 3).\nAnswer: -29*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 + -49. Let i(a) = -a**2 - 5*a + 2. What is i(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 - ((-296)\/28 - -5). Which is greater: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50 - (-15 + (3 - -10) + -15)) + 2.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 8*b - 7. Let z be d(9). Let c(u) = -13*u**2 - 147*u**3 + u + z*u**2 + 146*u**3 + 6. Let a be c(-11). Let t(h) = -h**2 - 2*h + 5. What is t(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -34, -40, -48, -58, -70, -84?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110101001100000010100 (base 2) in base 7?\nAnswer: 152054555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(24)\/sqrt(8)*2 + (sqrt(15)\/sqrt(5) + 5 - sqrt(3)) + (-2 + sqrt(108) + -2)*-5.\nAnswer: -27*sqrt(3) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-1))**48*p**4*(p*p**(-6))\/p assuming p is positive.\nAnswer: p**94","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10616819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 640155949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.06 + -1.1. Let a = u + 0.232. Round a to 2 decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 9. Let k = -5 + g. What is the biggest value in -4\/3, -2, k?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3\/5 + 8*y**2 + 92*y\/5 + 48\/5.\nAnswer: -4*(y - 12)*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 580552 to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 20*o**2 + 2*o + 38. Calculate f(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + u**2 + 5. Let o be p(0). Let k = -1 + 2. Which is the biggest value? (a) -5 (b) o (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gqqgqqcqtqtctgt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 7:10 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - x**2 - 4*x**2 - x + 4*x**2 + 3*x**2 - 5*x**2 + x**2 + (x - 3*x + 0*x)*(8 - 8 + 4*x) - 6*x**2 - 3 + 3.\nAnswer: -16*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240114 divided by -6.\nAnswer: 40019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*o = -1, -6*j + 2*o - 12 = -j. Let z be 31 + -5 + j\/(-2). What are the prime factors of ((-24)\/z)\/(-4) + 2364\/54?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 109 divided by -7466\nAnswer: -109\/7466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/3 + -1 + 33. Suppose 0 = -5*o - 6*p + p + v, -p = 3*o - 10. Solve -5*c + 5 = 4*x - o*x, -4*c = -2*x - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -218, -353, -578, -893, -1298?\n\"Answer: -45*y**2 - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 7:27 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 25085?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-294)\/144 - -2)\/((-94)\/(-47)).\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(5*sqrt(7)*-1)*2.\nAnswer: -2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b. Let j(h) = 77*h + 5. Let r(u) = 192*u + 12. Let a(y) = 12*j(y) - 5*r(y). Calculate p(a(f)).\nAnswer: 36*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 186\/15 + 3\/(30\/(-4)). Solve -2*y - d = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 712522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -352, -2\/11, -835 in ascending order.\nAnswer: -835, -352, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 37d8 + a?\nAnswer: 3804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t**2 - 6*t + 11. Let k(l) = l**2 - 1. Let m(j) = -3*k(j) - o(j). Let c be (8\/3 + 0)*-3. Determine m(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -747, -870, -993, -1116, -1239, -1362?\n\"Answer: -123*v - 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192959*u**2 - 192983*u**2 + 578938*u**2 - 192970*u**2.\nAnswer: 26*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 663\/17 + -19 + -9\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(-2 + 7*z + 0 - 4*z).\nAnswer: 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 4*f + 3*f)*(6 - 7 - 8).\nAnswer: -36*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1676647\/3 or 558883?\nAnswer: 558883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 6 = -5*p, 19*p + 4*d = 14*p - 48 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 611 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -47, -349, -1157, -2723, -5299, -9137, -14489?\n\"Answer: -42*n**3 - n**2 - 5*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/5*(-35085)\/14034.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 - 193*v**2 - 89*v + 679. Let w be n(-96). Solve -132 = -29*u + w*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 3*n - 4*y - 85, 0 = -5*n + 4*y + 155. What is the greatest common factor of n and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**9\/504 + a**5\/30 - 6*a**2. Find the third derivative of z(p) wrt p.\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2256872.73 - -2256778.6313192. Let s = z + 366.0986611. Let b = -272 + s. Round b to 6 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8568558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-4147)*-116*65\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13320)\/1998)\/(55\/396).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*d - 4*b - 32, 2*d - b = 50. Suppose -3*z = -6*z + d. Suppose -q - z = -5*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.1772 - 45.4738. Let u = 0.751 + y. What is u rounded to the nearest integer?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -5*h + 2*u, 68453*u + 20 = h + 68450*u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1708151034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243)*2 + 1 - sqrt(243))*-4)**2*1.\nAnswer: 288*sqrt(3) + 3904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 22*o**2 - o + 2. What is the remainder when 58 is divided by i(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**2 - 4*m - 12. Calculate the remainder when 201 is divided by x(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5571*s**2 - 50137*s - 16. Give f(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -4*p - 40, -2*p - 9 = 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 24*f**2 + 3*f + 1. Is o(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2. Let n(p) = -16555456*p**2 - 11166*p + 22332. Let s(y) = -7414*y**2 - 5*y + 10. Let k(t) = -5*n(t) + 11166*s(t). Give k(m(o)).\nAnswer: -7444*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 10 + 2. Let w be ((-22)\/j - 2)*3. What is the third derivative of d**w + d**2 - 4*d**2 + d**2 wrt d?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 70*t - 75*t + 24, -2*n = 4. Let f be (-2462)\/4 - (-1)\/2. List the prime factors of 1\/(f\/(-153) - t).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 + -2*1 - 1. Let v = -35 - -40. Let m = z - v. Solve 3*t + 18 = 3*a, t + 2*a + 0*a = m for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = x + 3*k - 15, 4*x - 143 = -5*k. Suppose -3*a + x = -40. Let d be ((-5)\/4)\/((-6)\/a). Solve d*l = 19 + 6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - h + 5, 6727*h = 3*n + 6732*h - 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - 10. Let t be i\/8 + (-2)\/(-8). Let o(c) be the third derivative of -c**5\/60 - c**3\/2 - 288*c**2. Determine o(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5982 divided by -6\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/23 (b) 42456 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 17569186.295 to the nearest 1000.\nAnswer: 17569000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/4 (b) -0.4 (c) 0.68625 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1406 and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12\/612*17\/(-204)*54\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-13)*f**12*f*f**(-3\/11)\/f*((f\/f**13)\/f)\/f assuming f is positive.\nAnswer: f**(-168\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p - 5. Let y be w(10). Let t be (5 - 4) + (-1)\/(-1). Suppose 4*v = 3*b + 20, v + 2*v - 15 = t*b. Calculate the highest common factor of y and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 4*m + 2*m)*((3 + 2 - 4)*(-m + 0 + 0) + 12*m + 103*m - 21*m)*(3*m**3 - m**3 + m**3).\nAnswer: 558*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/1*(-832)\/(-312).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*n**3*w**2 + 370*n**3 - 19*w**4 wrt w?\nAnswer: 30*n**3*w - 76*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*3\/(-30)*2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/140 and -101\/1606.\nAnswer: 112420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/587?\nAnswer: 1\/587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-131 + 443 - 169)*(4*j - 5*j + 2*j) + 2*j - j + 0*j + (-3*j - j + 5*j)*(-4 + 0 + 3).\nAnswer: 143*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -22. Suppose -y = w - j, 3*w - 11 - 45 = -4*y. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2448) - (5 + -3*sqrt(2448) + sqrt(2448)))*4)**2*5*-4*-1.\nAnswer: -115200*sqrt(17) + 7058240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/2 of a millimeter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)*-1 + 5.\nAnswer: -2*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**4 - y**3 + y + 1. Let a(n) = -8*n**4 - 60*n**3 - 132*n**2 + 4*n + 4. Let c(x) = a(x) - 4*i(x). Suppose c(f) = 0. What is f?\nAnswer: -11, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 283 + -573. Let w = -290.057 - a. Round w to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 45437*j + 2228808. Determine m(49).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -164, -566, -1348, -2636, -4556, -7234?\nAnswer: -10796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*p = 39*p + 469 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2961 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/176241 and 26\/8763.\nAnswer: 514799961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5540.812 centimeters in nanometers?\nAnswer: 55408120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + -2. What is the tens digit of 4 + o + 2 + 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/16 and 3\/9 + 546\/144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.19 minus 966561.7?\nAnswer: -966564.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 560966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 4*u + 3. Let o(w) = 3*w + 1. Let p be (-15)\/12 - (-1)\/4. Let l be o(p). What are the prime factors of y(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 + 5*p**2 - 5*p**2 + (-3 + 2 - 1)*(-4*p**2 + p**2 + 4*p**2) - 8*p**2 + 10*p - 10*p to the form o*p + u + a*p**2 and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/14)\/((-1968)\/(-336)).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, y: 2, e: 1, o: 1, m: 1, z: 1}. Give prob of sequence ye.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**2 - 4*y. Let p(u) = 4*u**2 + 5*u - 1. Let i(k) = 2*p(k) + 3*x(k). Let v be i(-3). Sort 6\/11, v, 3 in decreasing order.\nAnswer: 3, 6\/11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*f - 33*f - 9*f**2 - 28*f**2 - 15*f**2 + 19*f to n*f**2 + i + j*f and give j.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -18*v + 25*v. Let x be 20\/6*(v\/(-25))\/1. What is the fourth smallest value in x, -1\/3, -0.2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 - -91. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1458336, -1, -0.5 in increasing order.\nAnswer: -1458336, -1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 - 2)*(p**3 + 0*p + 0*p) + (-1 + 1 - 5)*(-p**3 + 0*p**3 + 2*p**3) to w*p**3 + c + n*p + u*p**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 2*r + 12 = 0, 137318*i = 137320*i + r - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-143) - (7 + 11685\/(-1625))?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/8, 168164\/11 in descending order.\nAnswer: 168164\/11, -1\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3842410597 to the nearest integer?\nAnswer: 1566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2, -1\/3, 1, 4\/13?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4903752 and 36?\nAnswer: 14711256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i. Let w(l) = 120*l. What is w(k(q))?\nAnswer: 360*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -2\/201 (c) 9 (d) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v*v*(v*v*(v\/v**(3\/7))\/v*v)\/v*v)*v)*v)\/(v\/((v**(-2)*v)\/v*v*v)) assuming v is positive.\nAnswer: v**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 198109465 and 460?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 1 - 1. Let z be (-35)\/(-21)*(2 + g + 1). Which is the closest to 2? (a) -0.5 (b) -2\/11 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 786, 1497, 2222, 2967, 3738, 4541, 5382?\n\"Answer: m**3 + m**2 + 701*m + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 2, r: 1, d: 2}. Give prob of picking 1 l and 1 d.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -165 - -166. Suppose 3*q + q + 1097*q**2 - 7 + x - 1095*q**2 = 0. What is q?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330 = -11*m - 0*m. Suppose -7*x = 3*x - m. Let a(j) = -j**3 + 4*j**2 - 1. Give a(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17dbe (base 16) to base 9\nAnswer: -158044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17692, -17693, -17692, -17689, -17684, -17677?\nAnswer: -17668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/17 <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (-10 + (-48 - -98 - 18)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pttepffyyylplpf. What is prob of sequence ytf?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) 3 (b) 0 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcucyjyjjujjyyrjjyj. Give prob of picking 2 r and 1 c.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4\/w*w**2)\/(w**(1\/7)*w\/(w*w\/w**(-1\/7)))*((w*w**(-4\/3)*w)\/w)\/w*((w*w\/w**(3\/7))\/w)\/w*(w**(-2\/3))**(-1\/5) assuming w is positive.\nAnswer: w**(153\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i - 33*i - 60*i in the form d + c*i and give c.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-1*(-2 - -1)). Let s be 9*(1 - (-1)\/(-3)). Let x be (-2)\/s - 4\/(-12). Solve x*y = -y - m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 13*v - 34. Let t be y(-4). Solve -4 = -t*r + 3*i, 2*i + i + 10 = 5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 8:01 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57 + (79 - 24))*(-3)\/34?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**2 - 10941102*f + 29926928243601 = 0.\nAnswer: 5470551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 358 and 5.\nAnswer: 1790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 2*y - 21, -2*y - 14 = -t - 3. Suppose -d + q = -73 - 28, t*d - 4*q - 505 = 0. What are the prime factors of d?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1265\/(-3388)*2 + (-14)\/77 and -85\/454.\nAnswer: 3178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 5*g - 10, -5*j + 12*g - 8*g = -41 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.584193 minutes to nanoseconds.\nAnswer: 395051580000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**2 - 6*s + 9. Let n(q) = -1043*q - q**2 - 13 - 5*q**2 + 1052*q. Suppose g - 3 = 4. Give g*l(a) + 5*n(a).\nAnswer: -2*a**2 + 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 187671954 + -81234854. Let p = k - 72537100. What is p rounded to the nearest 1000000?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -25, 2, -3, 3 in decreasing order.\nAnswer: 3, 2, 1, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1438913*l**3 - 4*l**2 - 33675524*l wrt l?\nAnswer: 8633478*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 1 - -1 - (-19 + -28 + 50)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 20 = 5*c, c + 4 = 5*f. Let h = -12 + 20. Suppose q - 1 = -3*r, f = -3*q + h*q - 2*r - 56. What is the lowest common multiple of 12 and q?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -0.0312 (c) 2\/21 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -574, -2354, -5336, -9520?\nAnswer: -14906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 2. Let h = -12335 + 12333. Sort 0, y, h, -7 in increasing order.\nAnswer: -7, y, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3\/5 + 74334*r**2\/5 - 39848382*r\/5 + 1075910650 = 0. What is r?\nAnswer: 271, 36625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**2*t)\/(t*(t*((t*t**11)\/t*t)\/t*t)\/t*t) assuming t is positive.\nAnswer: t**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2934263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*((f*f*f**(19\/2))\/f)\/f*(f\/(f\/f**(-5\/9)))\/f*(f*f**(-5\/3)\/f)**(2\/9) assuming f is positive.\nAnswer: f**(463\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 14934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide (-32)\/(-6)*(3 - (-468)\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20040*n + 20048*n - 60098*n + 20050*n.\nAnswer: 40*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 12\/8)\/(20\/8)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 1 = 2*c. Suppose -3 = -g + 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: Find the first derivative of 13*g**2 - 2*g + 18.\nAnswer: 26*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 2*d + 1. What is s(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**0)**(-1\/14))**(-5\/13))**(-4\/15) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1367981 is divided by 855.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4 - -5) + 1)*3\/(-21). Which is the closest to m? (a) 5 (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ae75b (base 16) in base 14?\nAnswer: 1485bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -137 by 1.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70 + 75. Suppose 4*w - 3*w - j*n - 173 = 0, 2*w + 3*n = 281. What are the prime factors of w?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13460 divided by 3365\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -275, -814, -1719, -2966, -4531, -6390?\nAnswer: -8519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**5\/210 - 173*l**4\/84 - 172*l**3\/21 - 2*l**2 + 3178*l + 1. Determine d so that j(d) = 0.\nAnswer: -172, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(4)*2) - (sqrt(20)\/sqrt(4))**2*-3) + -1*(3*sqrt(5) + -2).\nAnswer: -5*sqrt(5)\/2 + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 2:33 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 11*i = 38*i - 750. Calculate the highest common factor of i and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.12124 and -28885968.779.\nAnswer: -28885968.65776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -557303267*h*q + 12873*q - 9832 with respect to h.\nAnswer: -557303267*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1068 + 2779. Is s a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2504553 is divided by 108893?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/83129645 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f = 123 + 273. Calculate the lowest common multiple of ((-2)\/1)\/(1\/(-10)) and f.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -13*w**2 + 1918*w + 174066. Calculate b(211).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*(p\/(p\/p**(-3\/2)*p))\/p))**(-2\/25)*(((p**(-6\/11)*p)\/p)\/p)\/(p*p\/p**(-4)) assuming p is positive.\nAnswer: p**(-2152\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2\/13 (b) -0.014 (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 1256?\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/200*7272\/(-588). Let l = -7\/380 + -2017\/1900. Let d = l + r. What is the common denominator of 25\/42 and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2375.48403ms?\nAnswer: 0.000027494028125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*j**2 - 92*j**2 - 86*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20321 - 10?\nAnswer: -20331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -400*z**5 - 264624*z**4 + 785697794*z**2.\nAnswer: -24000*z**2 - 6350976*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(-8)\/(-220)*75\/75?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 4*n - 7)*(-10*n - n - 17*n) + n**2 - 2*n**2 + 2*n**2 - 7*n**2 + 0*n**2 + 4*n**2 + (-2*n - 2*n + 7*n)*(0*n + 3*n - n) + 3*n**2 - 5*n**2 + 3*n**2.\nAnswer: -107*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**2 - 12*r - 3. Determine t(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -0.94?\nAnswer: 0.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 12*c - 5. Give y(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - u + 4*u + 7*u)*(16 + 2 - 3)*(-6*u + 4*u + 3*u).\nAnswer: 15*u**3 + 150*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 738316, 738315, 738314, 738313, 738312, 738311?\nAnswer: 738310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/101743063?\nAnswer: -2\/101743063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2\/1)*4\/12.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9523 and 4494.\nAnswer: 399966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 14. What is q(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -1, -4, -239, 4.\nAnswer: -239, -4, -3, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -16*f - 16. Calculate the highest common divisor of f and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (-18 + 6)\/(-2). Let t(h) be the first derivative of h**4\/4 + h**3 - h**2\/2 + h + 110. What is t(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 14.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, k: 1, i: 1, y: 2}. Give prob of sequence yyp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 1294 and -7.325.\nAnswer: 1286.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54703587.\nAnswer: 3, 18234529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*q**4 - 227*q**2 + 1003 wrt q.\nAnswer: 64*q**3 - 454*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 305 + -326. Let k(y) = -2*y**3 - 36*y**2 + 15*y - 10. Is k(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*m)*(0 + 1 + 1)*(54 - 82*m**2 - 54) + (2*m - m - 2*m)*(m**2 - 1 + 1).\nAnswer: -329*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 y when two letters picked without replacement from {s: 2, y: 4, e: 3}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 8.3. Let f = -0.0456 - -2.0666. Let y = -0.021 + f. Which is the second smallest value? (a) -1 (b) 0 (c) m (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 2*l**2 + l + 2. Let f be x(2). Suppose -1 = m - 4*m - f*d, 3*m = -3*d. Let j = 2 - m. What is the highest common factor of 12 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/286 and 83\/298176.\nAnswer: 42639168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 7 + -9 + -1 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 38*m**2 - 4*m. Let l be u(3). Suppose -4*n = n - l. What is the remainder when n is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, n: 2, d: 3, b: 6, w: 1}. Give prob of sequence bd.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + (sqrt(3) - sqrt(18)\/(sqrt(6)*2)))**2.\nAnswer: -309\/4 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + o = -f - 24, -5*f - 16 = -o. Which is the nearest to -0.1? (a) f (b) 5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/42)\/((-2)\/(-3))*(-72)\/(1512\/(-147)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -88209, -88212, -88219, -88230, -88245?\n\"Answer: -2*c**2 + 3*c - 88210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -0.3.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.79 - 0.33. Let s = 0.55 - i. Let m(l) = l + 2. Let n be m(-5). Which is the third smallest value? (a) 1 (b) s (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 10:02 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 468332867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35866 and 869?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(6*(3 + (3*sqrt(1584))**2) - (2 + (sqrt(66)\/(sqrt(42)\/(sqrt(7)*-2)))**2)).\nAnswer: 85508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3017426?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25138.1872 rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z + 34. Let n(h) = h - 8. Let b be -2 + (0 + 0)\/(-1). Let w(o) = b*i(o) - 9*n(o). Give w(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)\/(a\/a**(-10)))**(-38\/5)\/(a**(-2\/5)\/(a\/a**4))**33 assuming a is positive.\nAnswer: a**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 196*p - 1589. What is a(8)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(1 - -15) + (-22)\/7480*45?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 6*n**3 + 7*n**2 - 6. Let u(f) = -2*f**3 - 2*f**2 + 2. Let x = 1193 - 1200. Determine x*u(o) - 2*a(o).\nAnswer: 2*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226 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: Let n(a) = 3*a**3 - a**2 - 363*a + 721. Determine n(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14618 + -14240. Calculate the remainder when 1141 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/1521 and 15799\/(-1708)*(4\/(-6) + 410\/585).\nAnswer: 1521","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*y**2 + 2\/3 + 0*y**3 + 2\/3*y**4 + 0*y.\nAnswer: 2*(y - 1)**2*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 1)*(223 + 347*j - 223)*(4*j**2 - 12*j**2 + 4*j**2) in the form f + v*j**3 + g*j**2 + b*j and give v.\nAnswer: 1388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -32. Suppose -5*j = 2*j - b. Solve -z - j*q = 4, 6*z - z + 4*q = 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 8:23 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/5 - 12*v - 58\/5.\nAnswer: -2*(v + 1)*(v + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 159\/(-371)*7\/(-2)*(-208)\/(-24).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 77*l - 958. Let w be y(-61). Solve 16*p - 7*p = -w for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 1:11 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 305078831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76 - 54. Suppose -l = -2*z + 4*d - 0*d, 0 = d. Suppose 2*f = 3*j - 0 + z, -2*f + 5 = -j. Which is greater: 3 or f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39623?\nAnswer: 39623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87742707 is divided by 1395?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 7*x**2 + 4*x - 7. Let c(p) = -p**3 - 7*p**2 - 6. Let g = -5 + -2. Let v be c(g). Determine o(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1840139801 rounded to the nearest 1000000?\nAnswer: -1840000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75 + -45. Let r be 9\/(-36) - (-33)\/(-12). Let j = r + 9. Calculate the smallest common multiple of j and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (-1 + sqrt(3)))*-5 + (sqrt(3) - (sqrt(243) + 1)))**2.\nAnswer: 96*sqrt(3) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 times 15795?\nAnswer: 394875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8869165713 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-32)\/(-10))\/((-54)\/15 - -4). List the prime factors of ((-40)\/(-14))\/(g + 1622\/(-203)).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*b + 2*s + 4, -11*b - 4*s = 12*b - 35. Let r be 2*1 + (-1)\/(-1). Suppose -111 = -6*m + r*m. Calculate the remainder when m is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -1\/3 (b) -0.1 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 2:05 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*i - 126, 2*r - 5*r + 4*i + 60 = 0. What is the third derivative of 11*p**5 + r*p**3 - 6*p**2 + 25*p**3 - 49*p**3 wrt p?\nAnswer: 660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -20154*c + 120908. Give r(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 23*d - 2. Let g(t) = 76*t - 7. Let h(b) = -6*g(b) + 21*k(b). Let w(p) = -31*p. Calculate h(w(o)).\nAnswer: -837*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 52 (c) 8 (d) 0 (e) -1 (f) 2\/41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*o - 2*o. Suppose -14 - 20 = -3*t + 2*d, -d + 4 = 0. Solve t = 5*h - o for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**3 - 2*g**2 + g - 1. Let z be y(-2). Suppose z*s - 2*s = 39. Let k = 23 - s. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5020 + 2315234?\nAnswer: 2310214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o + 8. Let m be y(-6). Solve -4*a - 2*p = -m, 0*p - 12 = -3*p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20486.13452119 + 20388.134522. Let g = m + 98. What is g rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 10*d - 30 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*w + 16 + 2. Suppose 2*j - w*z = -4 + 8, 3*j = -z + 10. List the prime factors of (j - (1 - (4 - 7)))*-162.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 138?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.275 + 0.725. Sort 2, -1, 0.1, l.\nAnswer: -1, 0.1, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 1 = 7. Let s(k) = -3*k + 5. Suppose 0 = -0*z - 5*z. Let w be s(z). What is the greatest common divisor of w and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2. Let v(a) = 4*a. Let g(i) = -5*i. Let y = -3 + 3. Suppose y*s = 2*s + 10. Let x(q) = s*g(q) - 6*v(q). What is x(u(z))?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 180387197 from 0.07.\nAnswer: -180387196.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 367. Is 17 a factor of l(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9095.\nAnswer: 5, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/3*(-3)\/(-2). Put -10, s, 2, -1 in ascending order.\nAnswer: -10, -1, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17705496 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 4*i**2 - 11*i + 6. Let w be t(6). Solve -4*p = -5*x, -w - 8 = 5*x for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -58958 and -0.4?\nAnswer: 23583.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 11*m + 24. Calculate f(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 5*r**2 + 2*r + 5. Let z be w(-5). Let g = z - -7. Suppose a + 28 = q, -2*q + 2*a = g*q - 106. What is the remainder when q is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 6*a - 44, -a - 10*q = -8*q + 6. Solve -5*l + 12 = 2*w - a*l, w - 5 = 2*l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.63639t to grams.\nAnswer: 94636390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9285, 5229, 19743?\nAnswer: 34257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004784 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -80774840.1847 + -0.5.\nAnswer: -80774840.6847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -267*w**2 - 3*w + 7. Let v(d) = 356*d**2 + 4*d - 9. Give 9*p(i) + 7*v(i).\nAnswer: 89*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -20*c - 6. Let v(z) = 7*z + 2. Let p(n) = -34*n + 3301. Let o be p(97). Give o*a(w) + 10*v(w).\nAnswer: 10*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 10:41 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4 - 139*o**3\/2 + 1318*o**2 - 7359*o\/2 - 2178 = 0. Calculate o.\nAnswer: -1\/2, 4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y + 317*y + 137*y)*((3*y - 4*y + 2*y)*(y + 3*y - 3*y) + (y + 2 - 2)*(5*y - 3*y + 0*y) - 1 + 1 + y**2) to p*y**2 + d*y**3 + a + f*y and give d.\nAnswer: 1804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 2. Suppose 11*a + 45 = 6*a. Is k + (a\/(-1) - -2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -287745.667 rounded to the nearest one hundred?\nAnswer: -287700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(2\/66))\/8. Let i = b + -13\/8. Which is smaller: 3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (55\/(-10))\/((-12)\/(-8) + -2). What is the second derivative of -w + 13*w - 177*w**2 - n*w + 84 + 18*w**2 wrt w?\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(18\/4)*1. Suppose -2*z + 2*n = 3*z - 30, 5*z = 3*n + 35. Let u = 23\/63 - 2\/63. Which is the biggest value? (a) z (b) q (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 11*h**3\/3 + h**2 - h - 3. Is r(1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * -0.324\nAnswer: 0.02916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -18, -51, -100, -165, -246, -343?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -5*z**3 + 245. Let i(r) = 11*r**2. Give o(i(h)).\nAnswer: -1815*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2, -1, -16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r**2 - r**2 - 7*r**2 - 297*r**3 - 36 + 4*r**2 + 301*r**3 to the form l + k*r**2 + i*r + j*r**3 and give l.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7*u. Let h be 12\/4 - 4 - (1 - 1). Give p(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3 - 6 = -j, 3*q = 4*j + 10. Let 0*t**4 + 4\/5*t**q + 0*t + 0 - 2\/5*t**5 + 6\/5*t**3 = 0. Calculate t.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(2\/23)*y)\/y**(2\/11))**8)**43 assuming y is positive.\nAnswer: y**(78776\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 4*q + 25, -25 = -4*n - 2*q + q. Suppose 32 + 8 = n*u - 5*k, -2*k + 5 = 5*u. What is the tens digit of 18*u + (12 - 12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 375*m**3 + 14 - 44*m + 44*m - 11 to v*m**2 + a*m**3 + n + j*m and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -27 + 3*s + 5*s**2 + 8*s + 27. Let t(p) = -6*p**2 - 12*p. What is -6*t(b) - 7*y(b)?\nAnswer: b**2 - 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 264 * 196.\nAnswer: 51744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -598 + 601. Calculate the greatest common divisor of k and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-520)\/(-1040))\/(-6*7\/(-6132))\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6932821 and 8602?\nAnswer: 152522062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 7. Suppose -3*h - 2*t + 10 = -21, -5*h + 49 = 2*t. Let w = 14 - h. Calculate g(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 7749*g + 3395. What is the hundreds digit of r(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*3418.\nAnswer: 683.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 395*i**2 + 10*i + 5569. Let t(w) = -3*w**2 + 9. Let h(j) = -2*t(j) - u(j). Differentiate h(v) wrt v.\nAnswer: -778*v - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -589*s + 1777*s - 603*s - 587*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 231, 836, 2015, 3960, 6863, 10916?\nAnswer: 16311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 5*i + 19, -3*c + 8*c + 2*i - 26 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-60))\/((-26)\/(-6))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2452622*h**5*t**2 + 3*h**4*t + 2*h**2*t**2 - 2*h*t**2 + 97*h*t - 3*h - 61*t**2 + 1 wrt h.\nAnswer: -147157320*h**2*t**2 + 72*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 82538447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22890 + -22678. Calculate the lowest common multiple of 1166 and o.\nAnswer: 2332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 7*g**6\/60 + g**5\/60 - 7*g**4\/24 + g**3\/3 + 14*g**2. Let q be y(4). Suppose 6*t - 1016 = q. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z + 21. Calculate m(-22).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 84*y**2 - 3*y + 27. What are the prime factors of h(7)?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 38835, 37291, 33097, 24927, 11455, -8645, -36699, -74033?\n\"Answer: -221*z**3 + z**2 + 39055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide (-3 + 11 + -268)*(-2 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 1787811.\nAnswer: -5\/1787811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80028, -80077, -80136, -80211, -80308?\nAnswer: -80433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2. Let j(p) = 21*p - 21*p + p**2. What is j(r(c))?\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1773?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7031256 - 0.2857?\nAnswer: -7031256.2857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 409081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -16, 4*d + q - 3*q = -8. Suppose 6*j - j + 45 = d. Let x be (j\/6)\/((-6)\/8). What is the greatest common divisor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -16*r + 160. Let i be a(10). Solve 5*b + 9*q - 10*q = i, -2*b = -q for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 smaller than 160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -607046359805567 + 607046359805567 + 12*w**2.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, -297, -3, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 10:03 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66835*k**6 + k**2 + 2747.\nAnswer: -8020200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -9*b - 38. Give h(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3317 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/2654217 and -93\/410?\nAnswer: 26542170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbpb when four letters picked without replacement from {d: 4, p: 2, b: 3}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**2. Let a(f) = 6*f**2 + f. Give m(a(x)).\nAnswer: -108*x**4 - 36*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56786?\nAnswer: 2, 28393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -116*d*p + 146*d - p with respect to p.\nAnswer: -116*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -125 (b) -417 (c) -1 (d) 3 (e) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -0.16\nAnswer: 0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.97 + -0.03. Suppose -5 = 3*w + 2*p, w = -p - 2 - 0. Let i = -37 - -37. Which is the second biggest value? (a) w (b) y (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 10*w**2 - 5*w - 6. Does 24 divide j(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85163 or 1?\nAnswer: -85163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0462 times 1005?\nAnswer: -46.431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14188509?\nAnswer: 3, 1576501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2068)\/2585*(-3)\/4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66*n**2 - 108*n wrt n?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from dujdj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312 = -5*f + 3*c, 3*f + 4*c - 3*c = -176. Let y = -61 - f. Sort 2, -5, y, -2 in descending order.\nAnswer: 2, y, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 4327*g - 5 + 641*g + 3 to the form x + f*g and give f.\nAnswer: 4968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64992.\nAnswer: 2, 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*l + 11, 10 = -3*d + l. What is the second biggest value in 1\/4, d, 0, -0.09?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.54 + -0.46. What is the fourth smallest value in 0.1, k, 3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 95596?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -39, -55, -85, -135, -211, -319, -465?\nAnswer: -655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1646*k + 33120 - 33120 + 2091*k to the form y*k + s and give y.\nAnswer: 3737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 7:04 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -23*u - 197. Let p(k) = -8*k - 69. Let g(n) = 6*b(n) - 17*p(n). Let h(i) = 5*i + 18. What is 14*g(o) + 6*h(o)?\nAnswer: 2*o - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 49*y - 24*y. Sort 6, -3, 8, y.\nAnswer: y, -3, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_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: Solve 80350 + 16669 + 107048 = 2589*l + 22837 for l.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5*u**2 - 6*u + 5. Let s(b) = -b**2 - b + 1. Suppose -2*q - 2*q - 4 = 0. Let w(a) = q*j(a) + 4*s(a). Calculate w(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a + 3. Let l = 9 + -5. What is the units digit of b(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-5))\/((-5)\/75). Suppose -s + 2*s - g = -2*t, 5*s - 3 = 4*t. Suppose -2*k + 8 = 0, q + s*k - 17 = 18. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62\/3 + 21. Let g = 38.3 + -38. What is the nearest to k in 0.1, g, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 202496?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1\/4 (b) -2\/33 (c) 18.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(2\/9))**(15\/2)*i\/i**(-3)*i*i**13 assuming i is positive.\nAnswer: i**(143\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 s when four letters picked without replacement from hhhprhattrhhhpthhsp?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 21*t - 8. Let u be ((-12985)\/(-20) - 0) + (-6)\/(-8). Let c be 2\/6 - u\/(-30). Calculate the remainder when 83 is divided by v(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97573954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1921*q = -1325*q + 14900 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 75199.1ml?\nAnswer: 75.1991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 36*w + 9. Let i be t(4). Calculate the highest common divisor of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-40)\/(-21) + (-13)\/(819\/(-6)). Is (-53 - -55)*1151\/g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.035707987 rounded to 4 dps?\nAnswer: -0.0357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 0*j - 1\/720*j**6 - 53*j**2 - 1\/360*j**5 + 0*j**4 + 0 + 0*j**3. Find m, given that n(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003322 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z - 3. Let u be p(-2). Solve -u*n - 2*n + 15 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 791077.2 micrometers?\nAnswer: 0.0007910772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 318571 (base 9) in base 11?\nAnswer: 11a836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6*g**2 - 51*g - 36. Give l(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 596 divide 7929780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 9*j = -15*j. Solve -4*l = -5*b - 3, j = l - 2*b - b - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/7226394 and 52\/2616453.\nAnswer: 151754274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 8*w**2 + 2. Let v be a(-8). Which is bigger: v or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5126253952 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k + k + 2*k + (3 - 5 - 3)*(19*k + 2*k - 43*k).\nAnswer: 109*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/261, 1\/2, -4, 9, 0.07, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 9512.10972 to the nearest one hundred.\nAnswer: 9500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -1801718 and -1801762 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -0.5, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*n + 94 = -0*z, -4*z - n = -216. Suppose -455 + z = -6*d. Let o = -40 + d. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*d + 16*d = -7*d - 123000. Is 25 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 984508537 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -145, -155, -169, -187, -209, -235?\n\"Answer: -2*i**2 - 4*i - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2493512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -115352 - -0.46?\nAnswer: -115351.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.3*-0.1.\nAnswer: -0.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550276 is divided by 2501.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-7) + 24\/7. Find the third derivative of -4*n**4 + c*n**4 - 3*n**2 + 2*n**2 wrt n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 532, 1067, 1602, 2137, 2672?\nAnswer: 3207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 + 3*h**5 - 3*h**5 + (h**2 + h**2 - h**2)*(-2*h + 2*h**3 + 2*h) + 0*h**5 - h**5 + 3*h**5 - 2*h**5 + 14 - 15 + 0*h**5.\nAnswer: 3*h**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(2 + 1 + -1). Let x be (-6)\/4*(-48)\/18. Suppose -244 = -x*u + k + 59, l = -2*u - 5*k + 135. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 1 + 3 + -16 + 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*u - 3*m, 4*u + m - 19 = 1. Suppose 2*d + 34 = 6. Let k = -8 - d. What is the remainder when k is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + (585\/(-325))\/((-6)\/(-30)). Let y = 7 - 11. Let v be y\/(-10) + 26\/(-40). Which is smaller: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7516611253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 8*a. Let h(g) = -3*g**2. Determine u(h(y)).\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, w: 2, d: 5}. Give prob of sequence dwyw.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7*(g*g\/(g\/(g**(7\/3)*g))*g)\/g)**(-20\/7) assuming g is positive.\nAnswer: g**(-680\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1145, -2.1?\nAnswer: 1145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18376667 to the power of 1\/3, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -416589 divided by -1\nAnswer: 416589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w**4 + 20*w**3 + 28*w**2 - 8*w = 0. Calculate w.\nAnswer: -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 182113.9 to the nearest one hundred.\nAnswer: 182100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 20. Calculate the lowest common multiple of i and -2 + 5 + (-882)\/(-98).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*v**2 + 9*v**3 - 110*v**3 + 25*v**2.\nAnswer: -101*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 676648503827 - 0.083.\nAnswer: 676648503826.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 54\/5 of a tonne?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + t - 239161 + 239052 = -5*r, -227 = -r - 4*t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 132*s**3 + 3*s**2 - 10*s + 28. Is y(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*r**6 + 91464*r**3 + 2*r**2 - 852*r - 42.\nAnswer: -360*r**3 + 548784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15173480 divided by 161420?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 159717584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 12:02 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 88. Suppose -4*l + 10 = l. Suppose -3*r + l*a = -78, 4*r + r - a = 130. What is the remainder when k(-13) is divided by r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2308\/15 - -154. What is the third biggest value in 0.4, 0.3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79504131*n**2 - 79504131*n**2 - 1440*n**3.\nAnswer: -1440*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**11*o)\/o**(-3))**9)**(-1\/18) assuming o is positive.\nAnswer: o**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 19*r - 41. Give m(21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-8\/7)\/w**(-9)*w**(-1\/17)*w**(-2)\/w*w assuming w is positive.\nAnswer: w**(690\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2. Let y(r) be the third derivative of -5669*r**4\/12 - 64*r**2 - 3*r + 6. Determine y(m(n)).\nAnswer: -22676*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*o*s**3 - o*s**2 - 214*o + 167*s**4 wrt s.\nAnswer: -84*o + 4008*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153230 divided by 2786.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1849642541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/4 and -25\/182.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2689587.\nAnswer: 3, 17, 17579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61289324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -10140151.\nAnswer: 16\/10140151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwmyhpq. Give prob of sequence yhp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -210140 + 210140.0000091761. Round s to seven decimal places.\nAnswer: 0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 537 - -4?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -15*u**2 + 12*u - 24. Let t(w) = -6*w**2 + 5*w - 10. Let c(n) = 5*k(n) - 12*t(n). Let s(d) = 6*d**2. What is s(c(b))?\nAnswer: 54*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -88*c**2 - 2*c + 4. Is p(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56604 (base 7) to base 4\nAnswer: 3200121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 24, 0, -3\/5, -1 in ascending order.\nAnswer: -1, -3\/5, 0, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, x: 3}. What is prob of sequence ssss?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(2*6\/4). Suppose f = -2*t + 1 + 1. Sort t, 5, 4 in ascending order.\nAnswer: t, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 117723465 and 7740.\nAnswer: 470893860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) -19 (c) 1 (d) -564\/19 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = -2*h - 980. Suppose -h*v = -144*v + 76. Let x be 4\/14 + 786\/42. Calculate the highest common factor of x and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 2a3?\nAnswer: 2a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15*2*(-2 + (-7)\/(-3)). What is the hundreds digit of 1576\/a - (-14)\/35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/58806 and -101\/134136.\nAnswer: 16230456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + q + (0*q + 0*q + q)*(2 - 4 + 1) - 186 + 186 - 9*q - q - 4 + 1 + 0.\nAnswer: -10*q - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -6373\/3 = -64\/119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -255002, -255071, -255140?\n\"Answer: -69*y - 254933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55260514, 55260510, 55260506, 55260502, 55260498, 55260494?\nAnswer: 55260490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*h + 14. Let n be (-1 - h)*5\/2. Calculate the greatest common divisor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7961938 milliseconds in seconds?\nAnswer: 0.0007961938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-13)\/f*f**(-1\/39)\/f)\/(f*f**5)**35 assuming f is positive.\nAnswer: f**(-8776\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(1\/2))**(-35)\/(x*x\/x**(1\/3)*x**(3\/8)) assuming x is positive.\nAnswer: x**(-1309\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/320854 and -9\/18736.\nAnswer: 2566832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64\/3 - -311\/15. Put 0.2, p, 2 in increasing order.\nAnswer: p, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*(-103)\/1545*(-66)\/14.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 849 = 2689. Let n = -380 + x. Let s(f) = -f - 5. Calculate s(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1519, 7244, 17207, 31414, 49871, 72584?\nAnswer: 99559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -223.89 - -3.89. Let q = 220.097 + o. What is q rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 19 = -4*s. Solve 6*p - s*p - 6 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*d - 9548 + 11546 = 11100 + 13634 for d.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*m + 1225 = 74*m. Suppose -m*y = -62*y + 12740. Is 70 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnn when three letters picked without replacement from xlxxlxnvlxxlnnxxnl.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 171823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -254c?\nAnswer: 2549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3679?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2959 - -44291\/15. Let x = 831302 - 4970821\/6. Let c = -2825 + x. Calculate the common denominator of l and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -8*w + 25. Let y be m(2). Solve -y*o + 7 = 16 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 13*d - 40. What is k(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*y - 5, -2*g + 4*y = 4 - 0. Let d(z) = -1 + 0 + 4*z - 14*z. Does 22 divide d(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135.88454 rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*k + 8 - 2, 2*k = -3*u + 18. What is the hundreds digit of 4\/u - 31525\/(-39)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -681*w + 25235. What is i(37)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**2 - 8*i + 2. Give w(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 - 6*u + u**3 + 15 + 10*u - 5*u. Let w be m(0). Suppose -w*o = -12*o - 60. What is the remainder when o is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 1\/22, 136\/3?\nAnswer: 136\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 13. Suppose 0 = f + 2*d + 629990, 552006 = -4*f - a*d - 1967974. Round f to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 1 - 3)*(1 - 1 + x + (2*x - 3*x + 3*x)*(3 + 2 - 4) + 2*x + 3*x - 4*x).\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -668010 * -3.\nAnswer: 2004030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 382 + -375. Solve -f*j + 9 = 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*(-4 + 57\/12 - 0). Suppose -2*d + h*y + 4 = 0, -y = -5*y. Factor 0*n + 0 + 0*n**3 + 1\/4*n**d - 1\/4*n**4.\nAnswer: -n**2*(n - 1)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 69, 103, 137?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1100100111100 (base 2) to base 16\nAnswer: -193c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**2 - 44*q + 49. Suppose 2*l - 80 = -3*v, -4*v - l = -0*l - 110. What is the remainder when m(11) is divided by v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5111, 4950, 4681, 4304, 3819, 3226, 2525?\n\"Answer: -54*t**2 + t + 5164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * 4072.\nAnswer: -3664.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-42))\/(2\/9). Which is the smallest value? (a) u (b) 1\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*l - 10 = 0, -5*l + 5 = 4*g - 0*l. Solve -o - 4*a = -3, -46 = g*o - a - 19 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 100103?\nAnswer: -100033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**4 - 2 + 0 + 0 - 4*g + 2*g to q + z*g**3 + l*g + w*g**4 + f*g**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(-1 + 165664*j - 165934*j + 1).\nAnswer: 540*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8798171, 17596345, 26394519, 35192693, 43990867?\nAnswer: 52789041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f + 40. Is 8 a factor of p(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q**2 + 93*q + 1586. Let r be l(-13). Is r >= -310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -3*p + t, 0 = 3*p + 5*t + 3 + 10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 y when three letters picked without replacement from {y: 2, x: 2, t: 1, c: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 10, m: 4, t: 6}. What is prob of sequence ymm?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8264, 16552, 24840, 33128?\nAnswer: 41416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 611 divide 1407927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 6*y + 5*x - 40, -x + 5 = 0. Which is the smallest value? (a) 2\/21 (b) 2\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**2 + 4*y - 3. Let i(u) = 5*u**2 - 5*u + 4. Suppose 4*d = 15*d + 33. What is d*i(w) - 4*f(w)?\nAnswer: w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/60 + (-7)\/3. Suppose -3*f + 12*f + 648 = 0. Let t be 82\/f + (-1)\/(-4). Is r greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1352 by -13.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 8634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-6))\/(2\/(-3)). Let y(r) = -3*r + 2*r + c*r. Let q(x) = 24 + 13*x - 43 + 19 - 21*x. Give y(q(l)).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + 1. Let r(s) = -s**3 + 3*s**2 + 5*s - 2. Let q(t) = t**3 - 3*t**2 - 4*t + 4. Let m be q(4). Calculate the smallest common multiple of r(m) and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -5 - 0, 5*p - 2*v - 17 = 0. Let b(s) = 2*s**3 + 6*s**p - 1 - 2*s + 2. List the prime factors of b(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*o + 91, -2*o = 2*d - 4*o - 56. Let m = 308 + -179. What is the remainder when m is divided by d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**2 + 31. Let w(z) = 4*z**2. Determine q(w(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -22222?\nAnswer: 22221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(2)*-2))\/(-1*sqrt(300)).\nAnswer: sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -197 and -20?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -8. Let m(u) be the third derivative of -u**5\/60 + u**4\/12 - 46*u**2. What is m(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -62 - -1?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3 + 292*b**2 - 3 - 293*b**2. Let i(p) = -2*p + 14. Determine i(k(l)).\nAnswer: 2*l**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5805 divided by 6\nAnswer: 1935\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 - 49. Suppose 4*g - u*o = -o, 4*o + 7 = 3*g. List the prime factors of (-348)\/(-6)*g\/(-2).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -728 - -727. Let m(i) = 20*i**2 - 16*i - 16. Calculate the remainder when 439 is divided by m(b).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**5\/60 + d**4\/6 + d**3\/6 + 3*d**2. Let v = 186 + -181. What is c(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -23 + -6 - (-4 + 3 + -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5067 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.71 (b) -40 (c) 1\/3 (d) 0 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56700 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**3 + 6*f**2 - 26*f - 30 = 0. What is f?\nAnswer: -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, -38 in decreasing order.\nAnswer: 6, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**2\/17 - 159534*d\/17 - 27221832\/17 = 0.\nAnswer: -79596, -171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000 - -100011001?\nAnswer: 11100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, j: 1, w: 6, b: 1, u: 1, m: 6}. What is prob of sequence wom?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(-5) + (-61)\/20 and -19\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -148*n**2 - 1033*n + 24. Calculate c(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 4 - (2 + 0 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -3. Let o(f) = f**2 + 2*f - 3. Let m be o(-3). Suppose m = -h + i*h - 2. Solve 0 = -5*b + 3*b + h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.787 take away -655313?\nAnswer: 655321.787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + n - 1. Let t = 0 + 4. Let s(c) be the second derivative of -3*c**5\/20 + c**4\/3 + 5*c**3\/6 - 3*c**2 - 5*c + 4. Give t*g(q) - s(q).\nAnswer: 3*q**3 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 4 + (-8)\/4. Let m(d) = -47*d**2 + d - 1. Let o be m(t). Let c = -34 - o. Calculate the greatest common divisor of 52 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22642238 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/13, 13, 1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence njmw when four letters picked without replacement from mmjnnwnwnm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14476*k*r - 163371*k + 6*r**4 with respect to r.\nAnswer: 14476*k + 24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02718 + -3251.02718. Let b = 3251.001529 + w. What is b rounded to 4 dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j - 2. Let q be r(-2). Let a be 42\/q + 3\/(-12). Solve -10 = z - a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**6 - 6137*l**5 - 2*l**3 + 4185*l**2 - 79*l wrt l?\nAnswer: -240*l**3 - 368220*l**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 515637?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*4*(-5)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -22.34.\nAnswer: -22.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/58158 and 40\/891.\nAnswer: 639738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 5 = r. Suppose -r*j + 104 = -136. Is 16 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from {f: 1, y: 1, u: 4, m: 6, a: 1}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 7*g**2 - 7*g + 9. Let l be o(-8). Is (l - -22)\/((-3)\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -8*l - 48. Let c be u(-6). Let s = 2 + c. Suppose -3*x - s*y = -6*y - 97, y = -2*x + 50. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-2) - (56 - 2). Let q = r - -221\/4. Which is the nearest to 1? (a) q (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/67603211 and -53\/26?\nAnswer: 135206422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(84)\/sqrt(12)*3*-4)**2 + (sqrt(343)*5 - sqrt(343))**2 + -3.\nAnswer: 6495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6550 and 520?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -27. Let l = v - 4. Let j be 2\/5*5\/3. What is the nearest to l in 0.5, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 286 = 5*y - 18, p + 250 = 4*y. Let b = -16 + y. Calculate the remainder when b is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 29*q**2 - 171*q - 13. Let p be d(6). Put p, -6, 4, 2 in ascending order.\nAnswer: -6, 2, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 731426541.\nAnswer: 3, 243808847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8398\/9 or -932?\nAnswer: -8398\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 141699342 to the nearest integer?\nAnswer: 11904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-58)\/(-196)*(213\/(-18) + 7). Let o = 1\/588 + r. Let u = 1 - -1. What is the third biggest value in -1, u, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*r - 5*m = 21, -6 = -2*r - 2*m. Suppose 2*l - 15 = -0*l - 5*y, r*l + 4*y = 24. Suppose 0*j - l*j = -40. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(11)*-3)**2*-1.\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 54 - 1027371?\nAnswer: -1027316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 + z - 12108 - z + 12108.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1628*x = 1624*x + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 0 + 964*p - 6 - 954*p - 2 + 1. Let x(b) be the first derivative of b**2\/2 + 1. What is x(i(n))?\nAnswer: 10*n - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10271879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -24641 times -2012?\nAnswer: 49577692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6255 (base 13) to base 2\nAnswer: 11010100010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21+-0.21719186592126\nAnswer: 20.78280813407874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 44017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, s: 1, q: 1, f: 5, u: 5}. What is prob of sequence uu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-3 + -10 + 3) - 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 933696693 and 11043?\nAnswer: 11043","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/1659 and 151\/474.\nAnswer: 3318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3466874 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence id when two letters picked without replacement from iiiiddd?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -268346131?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -6*o. Suppose 0*t + 3*t - 41 = -4*n, -3*t = 3. Let s(m) = 11 + m - n. What is l(s(z))?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 11*o - 19. Let c be z(8). Suppose c*j - 48 = 47. What are the prime factors of j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.83776 and -4?\nAnswer: 11.35104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25198?\nAnswer: 2, 43, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3909 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 5 = -5*k. Suppose 0 = -2*p - o - k - 2, 2*o = 10. Let v(n) = -n**3 - 8*n**2 - 9*n - 4. Determine v(p).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47.43 - 48. Let g = -0.5685583 + -0.0013797. Let q = i - g. What is q rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 16 (c) -10 (d) -3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in 2, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 125066\/11 or 11371?\nAnswer: 11371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21459 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 11. Let f(q) = -15*q**3 - q**2 + q. Let l be f(1). Let a be l\/(-9) + (-1)\/(-3) + 2. Solve 0*m = a*w - 3*m + 19, -5 = z*w + 3*m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-206 + 183 + 0*g + g)*(-15 + 2*g + 14 + 4).\nAnswer: 2*g**2 - 43*g - 69","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2) + (-2)\/28. Let y = -3\/1213 + -1180\/13343. Which is the nearest to -1\/2? (a) -0.1 (b) u (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4 - q - 3*q + 0 - 2. List the prime factors of z(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + x - 1 + 1 + 2*x - 2*x - 3*x + 0*x + x - 2*x + (3 - x - 3)*(0 + 1 + 1) + 2 + x - 2)*(-4*x**2 + 3*x**2 + 3*x**2).\nAnswer: -8*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4365 and 0.018752.\nAnswer: -4364.981248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 283184 and 880?\nAnswer: 1415920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 12, -j + 3*f - 2 = 8. Let o(q) = 332 - 472 + 138 + 3*q. What is o(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2539*t - 4*t**2 + 6*t**2 + 2537*t to u*t**2 + p + w*t and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7155276 to the nearest integer?\nAnswer: 2675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6 = -n. Let b(s) be the third derivative of 1\/140*s**n + 0*s + 0*s**4 + 0*s**3 - s**2 + 1\/105*s**5 + 1\/735*s**7 + 0. Factor b(j).\nAnswer: 2*j**2*(j + 1)*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/3 of a hour in seconds?\nAnswer: 81600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -659, -1322, -1985, -2648, -3311, -3974?\n\"Answer: -663*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49\/2 - -25. Let y = 1 - w. Let v be (-12)\/(-15)*1\/(-2). Which is the third smallest value? (a) v (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55428*k**2*y**3 - 133504*k**2 + 2*k*y**4 - k*y**2 wrt y.\nAnswer: -332568*k**2 + 48*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 96, -1\/64, 0.5, 11?\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*b = 53*b + 32*b + 78*b. Let j be (-8)\/5 + (-4)\/(-2). What is the nearest to b in -2\/9, j, -6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 2*s = 98329. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 1 + 7*m**2 + 6*m - 6*m**2 + 7*m**2 - 6 + m**3. Let d be r(-7). Suppose -2 - d = -l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -14.6. What is the nearest to -0.1 in 0, 0.5, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/8 of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 8.6. Let m = -78.8 + 79. What is the closest to m in 2, 2\/7, g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28645676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10864*d**2 + 10697*d wrt d.\nAnswer: 21728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 44264723 + 1?\nAnswer: 44264724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -7, -666841 in ascending order.\nAnswer: -666841, -28, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**4 - 3*b**4 - b**4 + (-2 - 5 + 5)*(-b**4 + 5*b**4 - b**4).\nAnswer: -7*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1c12e (base 16) to base 2\nAnswer: -11100000100101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 11:04 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 15, 26, 37, 48?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**5 - 9553*l**4 - 26308*l**3 + 16726*l**2 + 26304*l - 7173 = 0. Calculate l.\nAnswer: -3, -1, 1\/4, 1, 2391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 364379*x - 364321*x - 2668 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 5 - i**2 - 130*i + 130*i. Let q be o(0). Let d(a) = -a**3 + 6*a**2 + a + 3. What are the prime factors of d(q)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*l = 23, -4*l - 39 = -3*v + l. Solve -2*w - v = -6*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**4 - 3*m**4 - 3*m**4 - 1 + 1 + m**4 + (2*m**2 + 2 - 2)*(-4*m**2 - m**2 + 6*m**2) + m**4 - 2 + 2 + m - m + m**4)*(5*m - 4*m + m)*(293 + 201 - 382).\nAnswer: -1120*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 16. Suppose -268*a + 240*a = -308. Calculate p(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1961779568?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -667 - 1035 = -23*b. Suppose -b + 56 = -9*x. Let l be 1 + (0 + 0)\/(-1). Sort x, l, 5, -4 in descending order.\nAnswer: 5, x, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 0*o**2 - 3*o**2)*(2*o**2 + 0 + 0) + 2*o**4 - 4*o + 4*o.\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 134800 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 10*p + 3. Give v(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1887875)\/(-226545))\/(1\/(-3)*1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -19 + 89. Let o(t) = 8*t**2 - 2*t - 1. Let f be o(2). Let g = -13 + f. Calculate the greatest common factor of k and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111122 (base 3) in base 10?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66 - 18. What is the greatest common divisor of w and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*f**2 - 276*f**2 + 138*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13032 + 13034. Which is the fifth smallest value? (a) -8 (b) 0 (c) -1\/3 (d) 2\/3 (e) y\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -3 (c) -3\/2 (d) -0.3 (e) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -148, -222, -296, -370, -444?\nAnswer: -518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**3 - 39*t**2 - 12*t - 154. Calculate k(20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/8 (b) -3 (c) 2\/9 (d) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4039171 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - b + 51 = 0, 3*b = -10*l + 9*l - 29 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from eweewwfffww.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/7*(-3)\/(-6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -270.35 - -0.3\nAnswer: -270.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9310619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10258*o + 10253*o = -5*c + 50, 0 = -c for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**3\/3 - 7*m**2 + 35*m + 13. Determine g(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*w = -1, -k + 5*w = 2*k - 31. Suppose k = -2*s + 3*s. Calculate the remainder when 12 is divided by 32\/s - (-6)\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47158170 is divided by 58.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.906 - -0.906. Put r, -3\/29, -1 in ascending order.\nAnswer: r, -1, -3\/29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**5 + 172*c**4 - 376*c**3 - 2140*c**2 - 2474*c - 880.\nAnswer: 2*(c - 5)*(c + 1)**3*(c + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 9. Determine h(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 5*s + 16. Let p be v(-7). What is the third derivative of -17*h**4 - 11*h**2 + 4*h**2 - 5*h**2 - p*h**2 wrt h?\nAnswer: -408*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g**(-9)*g)\/g)**(-4))**42 assuming g is positive.\nAnswer: g**1176","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-430)\/(-15)*1 + (-10)\/15. Calculate the greatest common divisor of 70 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23182, -46365, -69548, -92731, -115914?\nAnswer: -139097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 338 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) 2 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(48\/(-90))*2\/5.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5015317755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 11*t**2 - 112*t - 1014. Let w be z(-10). Solve -4*q = w*q - 6*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1415 - 57.3517596.\nAnswer: 1357.6482404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -11. Suppose -2 = -3*s + m*s, 0 = b - 4*s + 6. Let i be b\/12 + 14\/6. Put i, -4, -2\/19 in decreasing order.\nAnswer: i, -2\/19, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0661564 to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g - 3449 + 769*g**2 + 14*g**2 + 1468 + 109*g**2 wrt g.\nAnswer: 1784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - -6 - 3*-1. Let v be g\/1 + (-2 - -2). Let w = 0 - v. Put w, -3, 4 in decreasing order.\nAnswer: 4, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - b + 6. Let g be s(0). Let k = 2 - 2. Let d = k - -4. What is the greatest common divisor of g and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k**2 - 29*k + 82. Let j be b(3). Solve -8*o - j = -17 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-4))\/(-1)*(-12)\/3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -15, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 24 - (61 - (37 - 15))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**4\/5 + 36*c**3\/5 - 144*c**2\/5 - 324*c\/5 + 1134\/5 = 0?\nAnswer: -21, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-6)*3)\/(-1). Suppose 4 = u*w + 2*g, 2*w = -3*g - 0 + 6. Let v be 2\/(-9)*(2 + 1). Which is smaller: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/14)\/((-770)\/29645)*4\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 12:32 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 3. Suppose s = 2*h + h + t - 481, 2*h - 2*t - 318 = 0. Suppose 3*m = 8*m - h. Is 16 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 1395220.\nAnswer: 2, 3, 1395220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120221 - -2210200?\nAnswer: 2012202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1359352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 3*f**2 + 87*f + 48. What is the remainder when 364 is divided by d(7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*v - 34 = 0, 0 = -3*j - 372*v + 367*v - 38. Solve -46\/3*d**2 - 32\/3*d**5 + 16*d**j - 2\/3 + 6*d + 14\/3*d**3 = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*x - 105, 5*h - 705 = 5*x - 105. Suppose -6*p - 489 = -h. Let j = 62 + p. Is -3\/20 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -246b0c8 (base 13) to base 2.\nAnswer: -101011001111001101010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + (-33 - -17) + (-122 - (-3 + (2 - -9)))?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 78680926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38a091 (base 13) to base 9.\nAnswer: 2508611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -l + 2*l - w, w = -l + 20. Suppose 3*k + 600010 = -3*f + f, -l = 5*f. What is k rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - -0.7. Let g(b) = -b**3 - 9*b**2 - 7*b. Let n be g(-8). What is the closest to x in 5, -5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**7*a*a*(a\/(a*(a**(2\/9)\/a)\/a))\/a)**(-47))**(3\/7))**45 assuming a is positive.\nAnswer: a**(-62040\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 286581*w**3*y + 63*w**2*y - 7*w**2 - 2*w*y - 2*y - 3 wrt w.\nAnswer: 1719486*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) 4\/9 (c) -0.1 (d) -7576 (e) 0.2 (f) -0.03 (g) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 3*j**2 + 1\/33*j**3 + 1\/132*j**4 + 0 - 1\/660*j**6 + 0*j - 1\/330*j**5. Factor s(a).\nAnswer: -2*(a - 1)*(a + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8)*m**(2\/3))**(-40)\/(m**(6\/5)*m*m**(-1\/5))**1 assuming m is positive.\nAnswer: m**(874\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1241.07 - 795.2. Let u = 446 - n. What is u rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 5*h**2 + 13090*h + 8567405 = 0.\nAnswer: -1309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67847\/10 + -6794. Suppose 3*n + 40 = -2*n. What is the common denominator of 0 + 83\/n - -2 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/8)\/a**(1\/5))\/(a\/a**2)**(4\/7) assuming a is positive.\nAnswer: a**(209\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 6, -2, -8, 0.19 in increasing order.\nAnswer: -8, -2, -2\/15, 0.19, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 4 + 1 + (-2 - 3) + 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -23*c - 230. Let f(u) = 12*u + 127. Let n(x) = -7*f(x) - 4*l(x). What is n(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 4*o - 10, 204*z - 6 = 201*z + 3*o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/60 and 127\/15690.\nAnswer: 31380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/10)\/(9\/405*-27)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-26)\/(-7) - 4\/(-14). Let x be j + 1 + (0 - 1). What is the second derivative of -3*k**4 + k**4 - k - k**x wrt k?\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1053 + 729. What is the tens digit of n\/(-24)*4\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 - -54. Let x be 42\/y + ((-12)\/5 - -2). Calculate the least common multiple of (-231)\/(-15) - 0 - x\/20 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 69774093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**5 + 0*b**5 - b**5 + 3*b**2 - b**5 - 3*b**2 + (-4*b - b + 3*b)*(-b**4 - 1 + 1) + (-b**3 + 0*b**3 + 4*b**3)*(3 - b**2 - 3).\nAnswer: -b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 8*v**2 - 9*v - 4. Let a(b) = 9*b**2 - 10*b - 5. Give 5*a(k) - 6*s(k).\nAnswer: -3*k**2 + 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -13*f. Let i(b) = 10*b - 4*b - b. Determine i(a(r)).\nAnswer: -65*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39521.\nAnswer: 39521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13216?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -44257.7 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 452 in 2, 4, 0.12, 446?\nAnswer: 446","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 - 1*(-3 + -198). Suppose -2*q + 4*x + 138 = 0, -3*q - 2*x - 3*x = -r. Calculate the remainder when q is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -367 - 18*d + 367.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -11, -60, -151, -296, -507, -796, -1175?\nAnswer: -1656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 141 - 87. Let v be (y\/4)\/9 + (-10)\/12. Which is the third biggest value? (a) v (b) -2.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u**3 - 367*u**2 - 224*u + 149. Determine c(74).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8 = -2*o. Let a = o + 8. Calculate the lowest common multiple of 16 and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + (-3 - -2 - 4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4)*t*t)\/t)\/t**(1\/7)*(t**1)**(-4\/19) assuming t is positive.\nAnswer: t**(-446\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -16, 1, 36, 95, 184, 309?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/(sqrt(12) - -1*sqrt(12)) + -1*sqrt(1536))\/((sqrt(120)*-1)\/sqrt(10) - (sqrt(12) + sqrt(240)\/sqrt(5))).\nAnswer: 15*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 10*o - 42. Let t(z) = -10*z + 43. Let k(v) = -4*g(v) - 5*t(v). Let p be k(7). Solve -3 = 5*n - p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -22. Suppose -h + z + 0 = 0. Suppose -3*t + 2*t = h, -29 = -2*r + t. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 182*i - 176*i. Solve -2*w = i + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 4*r**2 + 2 - 708*r + 3*r**2 - 3*r**2.\nAnswer: -2*r**2 - 708*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - p + (3*p - 2*p + p)*(0 - 11 - 6) + (-9 - 17 - 8)*(0*p - 3*p + p) + p + 5*p - 5*p to m*p + q and give m.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -367943 * -148.6\nAnswer: 54676329.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -3*g**5\/20 + 7*g**3\/6 + 12*g**2. Differentiate p(n) with respect to n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 28 + 29 + 6 - 29 + g + 5. Suppose y = -4*y. Let q be d(y). Are 39 and q equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2757700 rounded to the nearest 10000?\nAnswer: -2760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-3)*(-8)\/16. Which is greater: -2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1256 is divided by 623?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*t - 38 = -3*r + 35*t, 5*t + 21 = -4*r + 88 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -83*n + 1729. Determine c(21).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i - 340 = 0. What is the remainder when ((-8)\/10)\/((-2)\/i) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 27*z**2 + 29*z - 119. Let a(t) = -38*t**2 - 6*t. Let c be a(-1). Is y(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348310979.\nAnswer: 348310979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -14 - 23*x + 11\/2*x**2. Differentiate v(p) with respect to p.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171266?\nAnswer: 2, 19, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zec. What is prob of picking 1 z and 1 c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -1. Let r = 76 - 381\/5. What is the nearest to -1 in g, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b**2 - 8598*b + 8598. What is i(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4241, 6297, 9723, 14519, 20685?\n\"Answer: 685*w**2 + w + 3555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of t**4 + 209 wrt t.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6485 (base 9) to base 15.\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k - 4761 = 3207. Are -662 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 223980*-12\nAnswer: -2687760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 34 = 3*b, 3263*b + 2*q + 16 = 3259*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002036616 rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, u: 1, t: 1, d: 2}. What is prob of picking 1 u, 2 d, and 1 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 10 = 4*v. Let g = -43951\/6 + 7345. Calculate the common denominator of ((-39)\/6)\/(30\/v) and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/7, 5, -2\/105, -4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 203 + -1829\/9. Let r = -4.4 - -4. What is the nearest to 1 in r, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -47 (c) -3 (d) 2\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 - (14 - 4) - 49.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 209538 divided by 6\nAnswer: 34923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 540 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/(39\/12 + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/37, -1\/4, -4, -5, 856, 2 in ascending order.\nAnswer: -5, -4, -1\/4, 3\/37, 2, 856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 68. Let l = 90947 - 91011.9896. Let m = l - p. What is m rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2860 and 480?\nAnswer: 68640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.18 + 9. Let z = s - -0.189. What is z rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2827 - 2275. Calculate the remainder when m is divided by 192.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2bb51 + 5?\nAnswer: -2bb4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47102.\nAnswer: 2, 11, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j - 2. Let u be i(-3). Suppose 0 = 3*l + 115 - u. Let x = 49 + l. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/19, 9, -5.\nAnswer: -5, -2\/19, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4468991 a multiple of 454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*z**4 - 19*z**4 + 6*z**4)*(3 - 2 + 2 + (0 - 1 - 1)*(-3 + 2 + 3))*(3 - 4 + 3) to d + u*z**3 + c*z**4 + q*z + g*z**2 and give c.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -290 - -202. Let u = 87.8 + r. What is the nearest to -0.2 in 2\/33, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -807703 and 7.4?\nAnswer: -5977002.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m. Let c be l(-1). Suppose -3*j = -h + 8, 2*h - c = 3*j + 1. Put j, 0, -2 in decreasing order.\nAnswer: 0, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 11*j**2 + 7*j - 15. Let v be c(10). Let t be v\/(-15) + (-524 - -1). What is t rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 2664864934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -21133, -39367, -57603, -75841, -94081?\n\"Answer: -z**2 - 18231*z - 2901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35455660 + -61155660. What is p rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**2 + 34 - 34 + 7*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -78*j**2 + 41*j - 2. Determine i(1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.1 - -18.1. Let r = t - 11. What is the closest to 2 in -5, -0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -488*l**2 + l**3 + 3*l - l**4 - 5*l + 487*l**2 - 1 to the form k + f*l**3 + p*l**2 + s*l**4 + c*l and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1234951, -2469905, -3704871, -4939849, -6174839?\n\"Answer: -6*o**2 - 1234936*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 30*m**3 + 2*m + 1. Let d be q(-1). Let y = d - -77. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 536872 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/63*(-91)\/(-39).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 38*n + 87. What is the hundreds digit of -5 - -1*(-885)\/9*n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7094904?\nAnswer: 2, 3, 19, 15559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l - 3*l = 2*u - 4, 5*l = -2*u - 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -15114, -15124, -15142, -15168?\n\"Answer: -4*g**2 + 2*g - 15112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence abc when three letters picked without replacement from {b: 2, c: 4, e: 9, a: 3}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2331.57 + -2362. Let c = 73 + -43. Let z = t + c. Round z to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -89\/6. Let u be (-10)\/8*(-4)\/(-10). Which is the nearest to -2\/5? (a) u (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(4\/(16\/4)). Let t(b) be the first derivative of b**p + 149 - 8*b - 151 - 2*b**5. What is the derivative of t(n) wrt n?\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffjjfjj. Give prob of picking 2 f.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 14848 = -39*s. Let l = -493 - s. What is the remainder when 625 is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = -5*b - 29. Let k be (-52)\/(-6 - 10\/(-2)). Calculate the highest common factor of k and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 14*z - 8*z. Calculate the smallest common multiple of 3 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1467*s**2\/2 + 278733*s + 1140.\nAnswer: 3*(s + 380)*(489*s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -3*r + 15*r - 17 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (103\/(-309))\/(70\/6)?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -91.4 + 104. What is s rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 15*h**2 - 3*h. Let r(b) = -119*b**2 + 25*b. Let u(m) = 6*r(m) + 51*v(m). Let f be u(2). What is the greatest common divisor of f and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(75)*-5 + sqrt(75)) - sqrt(75))**2.\nAnswer: 16875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2*j - 107*j - 1 + 4*j**3.\nAnswer: 4*j**3 - 105*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/(-391)*(-14858)\/76.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (946\/172*3\/22)\/(6\/(-736)).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(612) - -2*sqrt(612))*4 + sqrt(612))**2 - (2*(sqrt(833) - (sqrt(833) + 2)))**2)*-3.\nAnswer: -310236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25900 is divided by 434.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**4 - 6 + 3*c + 9*c**2 - 16*c**3 + 8*c**3 + 5*c**3 = 0. Calculate c.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*k + 24 = 0, -3*l - 3*k = 2*k - 33. Solve -2*o = -3*s - l, -4*s = -3*o - 0*o + 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 6*u = 22. Let p = 102 - u. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-1 - -3) + -285 + 288?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 minus 101183?\nAnswer: -101340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, d: 2, k: 3}. Give prob of picking 1 l and 1 d.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005435 rounded to six dps?\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 19*p**4\/18 + 22*p**3\/9 + p**2 + 111*p. Let z(f) = 0. What is f?\nAnswer: -1, -3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - p - 1. Let g be v(3). Let d(t) = -4*t**2 - 4*t - 5. Let m be d(g). Is m\/(-4) - 2\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -90.77 and 0.3.\nAnswer: -27.231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuugezzvvuuvzuzuugr. Give prob of sequence rvg.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -2*o**2 + 103*o + 117. Differentiate b(y) with respect to y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4 + 11*s**2 + 8 + 23*s**3 - 24*s**3 + 12*s + s**2. Let g be k(13). What is the common denominator of 303\/36 - (g - -3) and -73\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w + 3*w - 7*w - 519 + (2*w + 0*w + 0*w)*(0 + 3 - 1) to b*w + f and give f.\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -31*k**2 - 87*k + 20. Let d be x(-3). Let g(h) = -h + 14. Let y be g(7). Let a(n) = -2*n - 1. Let r be a(-3). Solve r*v - d = -y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 11001344?\nAnswer: 33004032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 54*s**5\/5 - 201*s**2 - 259. What is the second derivative of q(n) wrt n?\nAnswer: 648*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5052 = -3*y, -6717 = y - 5*y - w. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 3*w + 23. Let h be v(0). Suppose -133 + h = -11*j. Calculate the remainder when 16 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.017, -3\/2, 17?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -732*y**4 - 1709*y wrt y.\nAnswer: -8784*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -264.7474 + -2.5206. Let t = l + 268. What is t rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 19*z = -419 + 490 + 842 for z.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04428 rounded to three decimal places?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26322215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-15 - (-3 - 2)) + (0 - 0).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200558 (base 11) to base 3.\nAnswer: 121101202110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*w + 3*w - 5. Let q = 17 + w. Calculate the lowest common multiple of (-3 - -2)\/(2\/(-32)) and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -314110011 (base 6) to base 12\nAnswer: -1a1b307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/10 - (73\/(-45) + 2). Let u = 1 - 4. Let n be 0 + (-4)\/(u + 2). Which is the third smallest value? (a) n (b) -4\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**3\/3 - 3*c**2\/2 - 9*c. Let q(k) = 2*k + 4. Let v(j) = 4*n(j) + 3*q(j). Let g(o) = 5*o. Calculate v(g(t)).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*25\/(1625\/(-156))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2422 divide 1400371336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vyyy. What is prob of picking 1 y and 1 v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*n + 3*n**3 - 51*n - 4*n.\nAnswer: 3*n**3 + 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 9035 and 8962 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1713 + -6815\/4. Find the common denominator of h and ((-332)\/80 - -4)\/((-4)\/(-190)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4416 and 20739054.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270 = 510993*n - 510999*n for n.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 9*i**2 + 8*i - 6. What is j(-10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 179, -5, -3644, -1, 0 in decreasing order.\nAnswer: 179, 0, -1, -5, -3644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 13*z + 11. Suppose h - 9 = -1. Is b(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20*19\/3800*-620\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72306, -144645, -217000, -289371, -361758, -434161, -506580?\nAnswer: -579015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4626907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 4*r**5\/5 + 10*r**4 - 144*r**3 + 364*r**2 - 340*r - 4394. Factor p(l).\nAnswer: 4*(l - 5)*(l - 1)**2*(l + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 658.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*h - 18012 = -22907 for h.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 20 - 20. Calculate the greatest common divisor of 20 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(2*d + d - 5*d) + 438*d + 428*d + 14 - 875*d.\nAnswer: -5*d + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u - 2. Let r(o) = -o**3 - 17*o + 9. Suppose 0*f - 4*f = 36. Let q(k) = -2*k - 16. Let h be q(-7). What is f*g(v) + h*r(v)?\nAnswer: 2*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1672617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 j when four letters picked without replacement from jjjnjnj.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -21500 divided by 4\nAnswer: -5375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -8*u**3 - 1. Let t be l(-1). Let g = t + -5. Let x = 11\/2 - 5. Which is the third biggest value? (a) x (b) g (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 - -1 - (1 + 1). Let d be (2 + -12)\/(4\/p). Calculate the common denominator of 1 and (1\/(-4))\/(d\/(-1010)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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: Let i be (2\/12)\/((-6)\/9). Let x = 0.11 + -0.11. Let g = 3 + x. Which is bigger: i or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 5 = -4*n, 5*n - d = 7*n - 15 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12785 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}