diff --git "a/data/dm_maths/full_data_2/1239_11255.jsonl" "b/data/dm_maths/full_data_2/1239_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1239_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify (g*g**13*g*g*g**21)\/(g**(1\/6)*g*(g**(-22\/9)\/g)\/g) assuming g is positive.\nAnswer: g**(725\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from {h: 1, w: 3, z: 4, p: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/34 (b) -1\/24 (c) 3 (d) 2\/1345\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 2*b + 21 + 6 + 23.\nAnswer: 2*b + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*o**3 + 8*o**3 + 11*o**3 + 2*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(-20))\/((-13)\/52)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-12)*s\/((s\/(s**(-5)*s)*s)\/s)*s*s*s assuming s is positive.\nAnswer: s**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.9 + -3. Let l = 57 + -58. Suppose 7 + 3 = -5*h, 0 = 4*i - 4*h - 24. Which is the nearest to l? (a) 0 (b) i (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9683764 to the power of 1\/2, to the nearest integer?\nAnswer: 3112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -25572000 rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4 + 72*d**3 + 3*d**2 - 72*d.\nAnswer: -3*d*(d - 24)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (708\/9)\/(3\/(-9)). Let t = p + 63. Is 1\/(1\/4) - t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 2\/97 (c) 0.1 (d) 0.50966\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 486 + (-4 - -3 - -2). Let i be f\/3 - 6\/18. Let x(y) = -y**3 + 7*y**2 - 8*y + 8. Let v be x(5). What is the greatest common factor of v and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.13 + 31.13. Let j = 31.5 - b. What is the smallest value in -7, -2, j, 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018766 rounded to 4 decimal places?\nAnswer: 0.0188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -140670 to the nearest 1000.\nAnswer: -141000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 22*g**3 + 25*g**3 + 19*g**3 - 27*g**3.\nAnswer: -5*g**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 624 + -588. What is the remainder when 205 is divided by a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**3 + 1017*j**2 - 2*j - 275 wrt j?\nAnswer: 6*j + 2034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 443151 + 42?\nAnswer: 443233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38 - (20 - 14 - 19)) + 4.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.05, -4, -2, -1\/10, -2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**4\/96 + 8*y. Find q, given that j(q) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-351)\/(-69) - (-6 + (-3360)\/(-552))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mfmmmmmmmmmmmmmmmmmm?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(112)*2)**2 + -2 - sqrt(112)).\nAnswer: -2230 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -11*b. Suppose 2*g + 14 = 9*g. Let v(w) = 4 + g*w - 4. Determine v(a(c)).\nAnswer: -22*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468 is divided by 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 3aa86b?\nAnswer: -3aa868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*t**2 - 100 + 195 - 496*t**2 - 50*t**3 + 160*t**2 - 95 + 168*t**2.\nAnswer: -50*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9842 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, 202, 318, 480?\nAnswer: 688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -22, -2, -5\/3, 14, -25720?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.6 and -4.519678135485.\nAnswer: -5.119678135485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 6*n - 9. Let f be r(-7). Let a be f\/24 - (-26)\/3. Solve -3*h = -a*h - 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -51*i**2 + 83*i + 2. Calculate s(2).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 35347, 35411, 35533, 35725, 35999, 36367, 36841, 37433?\n\"Answer: 2*k**3 + 17*k**2 - k + 35329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10312310233 (base 4) in base 10?\nAnswer: 1273135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10440 is divided by 369.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -506 divided by -1058.\nAnswer: 11\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = -6*r + 1184. What is the third derivative of -r*h**2 + 3*h**4 - 8*h**3 - 12*h**4 + 12*h**4 - 7*h**4 wrt h?\nAnswer: -96*h - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -14*a - 38. Let s(b) = b - 2. Let k(m) = f(m) + 2*s(m). Let z be k(-5). Is z <= 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*o + 32*o + 15 = 0, 2*w - 90379 = -o. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 377 and 9.\nAnswer: 3393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 8:26 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 799, 3264, 7365, 13096, 20451, 29424, 40009, 52200?\n\"Answer: -h**3 + 824*h**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 4) + -2 - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 10. Let t(n) = -7 - n - 1 - 1. Let q(u) = 5*j(u) + 6*t(u). Does 13 divide q(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 53.38697 years?\nAnswer: 0.05338697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 2:17 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 361 and 7353?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.3 - 5.4. Sort -1\/4, i, -2 in decreasing order.\nAnswer: i, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzp when three letters picked without replacement from {f: 7, p: 2, z: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 12 = 4*a, 2 = -3*a - 4*f + 15. Let o be 5 - (6\/(-3) - a). Solve 2*l = r - 4*r + o, 4*l - 4 = -4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33*m*y + 3153*m + 4*y**3 + 194*y**2 + 2*y - 835 wrt y?\nAnswer: -33*m + 12*y**2 + 388*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*z - 46 = 0, q - 14 = 4*z - z. Suppose 14 = 2*f + 2*a, -f - 3*a = -0*f - q. Calculate the remainder when (6\/(-4))\/(6\/(-56)) is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4267106218 to the power of 1\/2, to the nearest integer?\nAnswer: 65323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**8\/48 - 7*o**5\/60 + 6*o**2. Find the third derivative of m(a) wrt a.\nAnswer: -420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 9:34 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 660050626 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 17. Let h = 1961 + -1981. Determine j(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*g + z = -203*g + 22, g = -3*z + 6 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 37*w - 40*w + 6, 5*a + 18 = -3*w. What are the prime factors of ((-2)\/a)\/(26\/19227)?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -3*t - 4*g + 105, -16*g + 13*g = 3*t - 5*t - 50 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3791 = 5*h - 3*q, 0 = -3*h - 2*h + 4*q + 3793. List the prime factors of h.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2090367 (base 14) to base 8\nAnswer: 72610667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -8*p**3 - p**2. Let h be l(1). Let y be h\/6 - (-7)\/2. Find the first derivative of 2 + s**2 - s**y - 2*s**2 wrt s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*((-9)\/(-6))\/(-3). Suppose r = b + 5 - 41. Let a = -2 - -6. Calculate the highest common divisor of b and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-5 - -3) + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-21)\/d)\/d)\/(d*d**(11\/5)*d)*d*d\/(d\/((d**(-8)*d)\/d))*(((d**(-22)*d)\/d)\/d)\/d*d)**(2\/9) assuming d is positive.\nAnswer: d**(-572\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 966*c - 15 + 964*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 2*p - 40 = 0. Let g(u) = u**2 - 6. Let y be g(0). Let n = p - y. Put -1, -3, n in ascending order.\nAnswer: n, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q - 42. Give s(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 137824 and 366272?\nAnswer: 26737856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75.9744 + 0.1256. Let o = -76 + g. Is o bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 176071174168 - -9\nAnswer: 176071174177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 635 and 390.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2776*m**3 - 5*m**2 + 5*m + 3660. Let o(r) = -2771*r**3 + 4*r**2 - 4*r - 3662. Let f(c) = 5*o(c) + 4*x(c). Find the first derivative of f(h) wrt h.\nAnswer: -8253*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 277 + 5601?\nAnswer: 6100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114568436.\nAnswer: 2, 31, 923939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13940 and 201535?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 929*r - 6500. Let w be x(7). Solve -3*j - 6*f + w*f + 3 = 0, 0 = 4*j - 4*f + 36 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -3, 18440.99?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 787 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 plus -20580?\nAnswer: -20567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4433 (base 6) to base 14.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -262, -2\/55?\nAnswer: -262","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 9 - 41 = 0. Let q = 15 + l. Differentiate -4 - q*d - 4 + 6 wrt d.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*t + 19 - 19)*(-1 + 1 + 3*t**4) + (31 - 24*t - 31)*(0*t**4 + 2*t**4 - t**4).\nAnswer: 3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -113*x. Let i = -180 - -212. Let b(s) = 13*s + 19*s - i*s - 2*s**2. Calculate n(b(r)).\nAnswer: 226*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c**3 + 7*c**2 + 5*c - 1. Let i be s(-1). Let v = -1297\/7 - -185. What is the smallest value in i, -0.05, 1\/7, v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3300003 - -11?\nAnswer: -3233332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63840 by -84.\nAnswer: -760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 7*o**2 + 9*o - 5. Let v be b(8). Suppose h = v*h. Suppose -t + 4*p + 15 = h, -5*t + 94 = -3*p + 2*p. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*95\nAnswer: 85.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -121 - -126. Solve -m = 3*z + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15\/380002 or 0?\nAnswer: 15\/380002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271209 is divided by 271209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, v: 1, p: 4}. What is prob of picking 1 p and 1 v?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4911.\nAnswer: 3, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 717 less than -574342504?\nAnswer: -574343221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in 4, -0.02, 1\/6, -5\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 335 + -272 + 1 + -99.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*b + 3*b - 8, 5*b - 2 = -a. Suppose -28*g + 27*g = -13. What is the remainder when b\/(-2) + 51\/1 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10101111100 (base 2) to base 6\nAnswer: -10300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-91)\/(-7) - 11 - 16\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*s - 9*s + 3*j, -2*s - 2*j - 6 = 0. Let o(n) = -n**3 + n**2 - n - 1. Let g(d) = -5*d**3 - 4*d**2 + 4*d + 1. Let c(y) = s*o(y) - g(y). Give c(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -429211089 or -429211088?\nAnswer: -429211089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + 21\/(-6) - (-7157)\/2. Suppose -5*q - 8056 = -5*h + b, -2*h = -5*q - 4666. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*r - 10044 = 2*r. Let z = r - -562. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/90)\/((-60)\/(-1676)) - -17?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2313 (b) -4 (c) 1 (d) 4 (e) 1.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 909 = 4*y + 69, -2*p + 3*y + 651 = 0. Is 33 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*q + 11, -4*q = o + 10. Let f = -21 + 23. What is the nearest to -0.2 in 0.5, f, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3027.165 + 2766. Let k = -261 - d. Round k to 2 dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 11:10 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 12*k**2 + k + 8. Let q be y(12). Let j = 31 + 29. Calculate the highest common divisor of j and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*7\/756*48\/8.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 6. Let x = 0.028 - 4.028. Which is the smallest value? (a) q (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 0 - ((-6 - -6) + -76 + 72 + -108)\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 4163.224 kilograms?\nAnswer: 4163224000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 3*q + 3*q)*(4*q - 3*q + q) + 2*q**3 + 4*q**2 - 4*q**2 + 2*q**3 + 3*q**3 - 2*q**3 + (q**2 + 2*q**2 - 2*q**2)*(-2 + 2 - q).\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1552539 is divided by 1552533?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 divided by 11167.\nAnswer: -67\/11167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6432926108?\nAnswer: 2, 7, 12953, 17737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 24*r**2 - 3. Let f(c) = -c**2 - c. What is f(b(s))?\nAnswer: -576*s**4 + 120*s**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q**3 + q + 1. Let i(s) = 9*s**2 + 10 - 3*s + 2*s - 11. Let r be i(-1). Let w(v) = -r + 4*v**3 - 3*v + 6 - 18*v**3. Determine -11*n(h) - 4*w(h).\nAnswer: h**3 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 86.85085?\nAnswer: -87.25085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 223*i - 64 + 466*i - 195 - 187*i wrt i.\nAnswer: 502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -574.5 rounded to the nearest 10?\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*k + 18. Suppose -4*m + 0*m = -5*i + 280, -k*i - 280 = 4*m. Let x = m + 72. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7733516?\nAnswer: 2, 7, 179, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -10212200010?\nAnswer: 10212200011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/3692 and -77\/26128.\nAnswer: 339664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 20*f + 5. Let n be o(25). Calculate the highest common divisor of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011042211 rounded to 6 dps?\nAnswer: -0.001104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 20 = 2*k, 267*k - 265*k + 11 = j for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 3 = -7*y. Suppose -8*w = -y*w. Let j be (w\/(-7))\/(2*1). Solve 4*d - h + 2*h = 0, j = -5*d - 5*h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 7. Determine d(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1781574, 1781022, 1780108, 1778838, 1777218, 1775254?\nAnswer: 1772952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p\/(p\/p**0)*p*p))**38*p**4\/(p\/(p**(2\/3)*p)))**(-41) assuming p is positive.\nAnswer: p**(8774\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.7? (a) 55\/17 (b) -5\/3 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 - 2*m + 3. Let d(u) = -2*u**2 + 3*u - 4. Suppose 2*r + 2 = -4. Let g(x) = r*d(x) - 4*n(x). What is the second derivative of g(b) wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*t + 3*t**2 - 52*t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 103 + 52. Let w = -112 + 129. What is the remainder when j is divided by w\/3*(-1)\/(-2)*6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -3*j - 15. Suppose -2*m + 0*k + 6 = k, -j*m = 2*k - 14. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7568836.\nAnswer: 2, 11, 31, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -364*r**2 + 8 + 317*r**2 - 4 + 24 + 0 to h*r + s*r**2 + y and give s.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 37 in -9\/6244, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 4*z**2 - z. Let i be w(-4). Suppose -3*g + 5*a = -4*g + 25, i*a = 3*g + 20. Suppose 0 = -j - g + 2. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 16*s = 0, 4*s = -369*k + 364*k + 70 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -585*u**4 - 8*u**3 + 3 + 584*u**4 - 2*u**3 in the form i*u + m*u**3 + l*u**4 + a*u**2 + b and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3213 + 784 = 109*s + 556 - 1573 for s.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5, 2, 5, 14, 29, 50, 77?\n\"Answer: 3*a**2 - 12*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13467108.9 rounded to the nearest one hundred thousand?\nAnswer: 13500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - x**2 - 3*x + 47. Let g be n(0). Let f = 52 - g. Solve -2*s - 5*q - 17 = 0, -10 = -5*s + f*q + 35 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v. Let l be d(-1). Suppose -l*s + 130 = -5*j, j = 2*s - 2*j - 57. Let c = s + -6. Solve -5*m = 5*w - c, 2*m + 13 = 3*m + 3*w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 492116 or 492126?\nAnswer: 492126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z. Let j(k) = 3*k**2 + 9*k**2 + 35*k**2. Give j(w(o)).\nAnswer: 423*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**5\/20 + 3*s**4\/4 + 4*s**3\/3 - 13*s**2\/2 + s. Suppose 72*c = -2*c + 666. What is the tens digit of q(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i - 25*i - 42*i = -1962198. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59383933093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14*(121\/22)\/(-11)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 16. Let u(r) = -r**3 - 8*r**2 + 3*r + 1. Let b be u(o). Let l = -54 - b. What are the prime factors of l?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-5 - (4 - 5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/5 - 1509723*v**2\/5 + 57372723*v\/5 - 545051157\/5.\nAnswer: -3*(v - 19)**2*(v + 503279)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1078 and 2450.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 1902776?\nAnswer: 11416656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-30)*3)\/(15*(-3)\/30)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 16\/11, 0.06, -456, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 6*s**5\/5 - 3*s**2. Let n(b) = 76*b**2 + 1 - 1 + 64*b**2 - 142*b**2. Calculate n(j(t)).\nAnswer: -10368*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 10*o - 27. Suppose -k + 9 = -s, -o*s = 3*k + k - 15. Calculate the greatest common divisor of k and 168.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2152 + 323?\nAnswer: -1425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*(-5)\/(-135) - (-52)\/9. Suppose -4*f = -5*a - 18, -a + 3*a + x = f. Suppose 15 = 2*p + p + 2*o, 2*p = -5*o + 21. Solve -j - p = -f*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 6*y - 6. Let z be c(8). Suppose -12 = 17*u - 233. Let k(g) = 48*g**2 + 13*g - u*g - z*g**2. Let b(l) = l. Determine b(k(f)).\nAnswer: 38*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (46 - 5) + 0\/(-1). Suppose -59 = -4*m + k. Suppose -2*h + 11 + m = 0. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98750?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3480*x + 3009*x - 12*x**2 - 1 + 37*x**2 - 11*x**2 - 13*x**2.\nAnswer: x**2 - 471*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 33925973 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 greater than or equal to -2241\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by ((-4)\/(-16))\/(2\/104)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 0 + 6 = 2*q, 2*h + 2*q = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**8\/30240 - g**7\/5670 - g**6\/3240 - g**4\/6 + 3*g**2. Let l(w) be the second derivative of r(w). Factor l(j).\nAnswer: -2*j*(j + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 50, -474, -0.2, 0.3, -5 in increasing order.\nAnswer: -474, -5, -3, -0.2, 0.3, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 10:48 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199367413.\nAnswer: 7, 263, 108293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 133*t**2 - 1833*t + 83. What is i(-16)?\nAnswer: -541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*s + 4*s + 3*m, 0 = -m - 2. Let f be s + 0*(-4)\/(-16). Suppose -10 - f = -v. Calculate the remainder when v is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14691268 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from acazdaazccu. Give prob of picking 2 a, 1 u, and 1 c.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-32)\/(-24) - (-2)\/(-3). Factor -l*d + 2\/3*d**3 - 1\/6 + 1\/6*d**2.\nAnswer: (d - 1)*(d + 1)*(4*d + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -2*h - 6, 2*f - 12 = -4*h - 0*h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*w = 529*w - 1243*w - 69997 + 168095 for w.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28983\/(-6) + (-2)\/(-4). Let x(h) = 2*h**3 - 18*h**2 - 15*h + 141. Let j be x(9). What are the prime factors of (f\/(-8))\/3 + j\/8?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15827812.\nAnswer: 2, 7, 11, 13, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - 4*l + 136 - 132, 4*l = 3*t - 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxddty. Give prob of picking 1 t and 1 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jidjjre. What is prob of picking 1 j and 1 e?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 11:07 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of -3 + 1828\/20 - 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000991346 rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/6 - (-5)\/6. Let h = -7 + 6. Which is greater: p or h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/96792 and -20\/12099.\nAnswer: 96792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x + x**3 - 3*x**2 + 6*x**2 - 2*x + 1. Let b be h(-4). Suppose j - 3 = -b. Solve -2*n - 5 = 3*d, -j*d + 4*d - 3*n = -12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089559427 to the power of 1\/3, to the nearest integer?\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4711302 divided by 6\nAnswer: 785217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2248 and 53671.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5*y**2 + 2)*(489 - 489 + 1053*y**3)*(-3 - 1 + 2).\nAnswer: 10530*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*o**3 - 2 - 6*o**3 + 142 + (1 + o**2 - 1)*(-2*o + 2 - 2) in the form z*o**2 + y*o + l*o**3 + k and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73508 + 73736 = 228*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2. Let r = -1262 + 1264. Let p(k) be the first derivative of -11\/2*k**r - 3 + 0*k. Calculate i(p(m)).\nAnswer: -242*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyufxmmy. What is prob of picking 1 x and 2 y?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 21900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkj when three letters picked without replacement from jjkjkk.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*r = 3*h, -4*h = 3*r. Suppose -3*z + 30 = -h*z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4 - 4250*a**3 + 2322600*a**2.\nAnswer: -a**2*(a - 490)*(a + 4740)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.7342803 days?\nAnswer: 63441817920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2868603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/2 and -29\/64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 645.6213 years?\nAnswer: 6.456213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**2\/6 + 34*h - 11726\/3 = 0.\nAnswer: -286, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ynoyiiyoniyoiiyioy. What is prob of picking 1 n and 1 o?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -1 + 1 - 402*i + 398*i. Let n(z) be the third derivative of -z**5\/20 - z**2. Determine n(s(w)).\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-534861)\/(-27) - 2\/3) + -8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121244 (base 9) to base 2.\nAnswer: -10001110110001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -5*g**4\/2 - 5*g**2 - 2. What is the second derivative of b(z) wrt z?\nAnswer: -60*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 28.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0192 or 89\/5?\nAnswer: 0.0192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 3*w)*(-2*w**2 - 2 + 2)*((4 - 5 + 3)*(-2*w + 0*w + 4*w) + 0*w - 3*w + w).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from bbcscsdsdcccbbdscc.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence af when two letters picked without replacement from ffffffffaafffffa.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 m when four letters picked without replacement from {l: 2, t: 2, m: 4, o: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 505906 to the power of 1\/2, to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 15918?\nAnswer: 47754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 314*a**2 + 297 - 7 - 9 wrt a?\nAnswer: 628*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4375493 is divided by 543.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*s - 81, 36 = s + s - 4*m. Let r be 1*2 + (-58)\/s. Let b = r + 31\/42. Which is smaller: 0.1 or b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 94 + -64. Calculate the highest common divisor of 40 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 983 > 983?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*x - 141939 = 80811. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 850.5 (b) -0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, v: 3, w: 8}. Give prob of sequence wp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -21897, -3, -0.043, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b = 0. Suppose 5*x + b = 20. Differentiate 5*i + 3*i + 1 + 2*i - x*i wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 90, 72, 58, 54?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-3 - -6) + (1 - -5). Let w(d) be the first derivative of -d**3 - 1\/2*d**s + 2*d - 3. Let w(z) = 0. Calculate z.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -55, -48?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/18 - (-6384)\/54 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6832 by -427.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 14297, 1, 4, -5 in descending order.\nAnswer: 14297, 4, 3, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2014, -8048, -18106, -32194, -50318, -72484, -98698?\n\"Answer: -x**3 - 2006*x**2 - 9*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 11:00 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 9*j**2 + 10*j + 2. Let o be m(-10). Let x(i) = -i. Give x(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2550037?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/52 and 85\/83836?\nAnswer: 1089868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25548 - 11462*s + 11460*s - 25600.\nAnswer: -2*s - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*l + s + 2, 5*l - 4*s - 12 = 0. Which is the biggest value? (a) l (b) -1\/11 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -336, -335, -334, -333, -332, -331?\n\"Answer: y - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.6 * -126.\nAnswer: 579.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 138375 greater than -2\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 12:20 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-139 + 146 + (-9 - -1)). Which is the nearest to y? (a) 1\/19 (b) -0.07 (c) 16\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -1\/2, -0.4, -0.9, 91?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-177\nAnswer: -88.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57) + (sqrt(57) - (sqrt(5700) - (sqrt(5700)*-3 + sqrt(5700)))))\/(sqrt(48)*-2))**2 + -5.\nAnswer: 911\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 0*z - 4*z + 2*z**2 + 1 - z. Let g be d(4). Suppose 10 = 2*w - 2*u, 3*u - 8*u = -w + g. Solve -2*a - 8 = w*l, -15 - 5 = 5*a + 5*l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o**2 + 1 - 1. Let p(x) = 3*x + x + 3*x - 6*x. Determine p(v(j)).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**9\/5040 + m**8\/448 + m**7\/120 + m**6\/80 - 7*m**4\/6 + 26*m. Let w(n) be the third derivative of q(n). Factor w(y).\nAnswer: 3*y*(y + 1)**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -60570, -58741, -56912, -55083, -53254?\n\"Answer: 1829*p - 62399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.723 - -1.223. Which is the closest to -7? (a) -0.4 (b) 4 (c) 0.07 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*m - 107, k - 46 + 149 = 4*m. Suppose 2*t - g - 21 - 4 = 0, -4*t - g = -41. Calculate the smallest common multiple of m and t.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-five quarters of a meter?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-680)\/(-34))\/220*55?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fp when two letters picked without replacement from {h: 1, f: 5, p: 2, t: 1, l: 1, s: 3}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l. Let k(x) = -2*x - 5. Let a be k(-5). Let v(h) = -a*h + 2*h + h. Determine v(r(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/3 + 11602*z\/3 - 4816780.\nAnswer: 2*(z - 1054)*(z + 6855)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250 = 49*h + 44 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427*g + 40035 = -13*g - 540*g + 195*g for g.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 244220659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -10 - (-20 + (-1300)\/(-175))) + (-24)\/(-56)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -488658091 divided by -1?\nAnswer: 488658091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 324 = -0*k - 3*n, 5*k = 2*n + 405. Suppose 0 = -17*c - k + 285. Calculate the highest common factor of c and 120.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*g + 7 = 2*g, 4*g + 4 = 4*b. Suppose -3*a = 1 - 10, -1 = -5*f - b*a. Is f equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10225, -20452, -30681, -40912, -51145?\nAnswer: -61380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 9*s - 3. Let f(m) = m**2 - m - 1. Let n(k) = 2*f(k) + o(k). Suppose 4*t - 8*t + 16 = 0. Is n(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/108 and (-28)\/(-30) + -1 - 32571\/(-11340)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h + 13 - 13 + (h + h - 3*h)*(2 - 2 - 2) + 0 + h + 0 + (-1 + 1 + 2*h)*(1 + 5 - 4) in the form z + s*h and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 12 = 2*m + 9, m + 49 = 4*o. Suppose 7*h - o*h = -40. What is the smallest common multiple of (-2)\/(-4) + 9\/2 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirty-four fifths of a millennium?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 >= 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven tenths of a minute?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(180) + 0 + sqrt(180) + -3 + 2)**2.\nAnswer: -24*sqrt(5) + 718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 7:38 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253*o - 255*o - x + 16 = 0, o = -5*x + 8. Solve -d = -3*d + 4*w - o, 4*d + 5*w = 36 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -181 + 901\/5. Let f = -0.07 + -0.23. Let d = f + -0.2. Which is the nearest to -1? (a) i (b) 0.2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3267 - 3272. What is the fourth biggest value in -15, 5, -3, b, 19?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -22. Let u be (26100\/(-3))\/(r\/(-60)). Round u to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -30, 4, 2, -46, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 5*b**8\/336 + b**7\/21 - b**5\/6 - 5*b**4\/24 - 6*b**2 + 10*b. Let j(o) = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u + 2. Let v(m) = m**2 + 6*m + 2. Let l be v(-6). Suppose -2*k + 17 = -3*n, 6 = -l*k - k. What is the units digit of z(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -827813 + -0.04.\nAnswer: -827813.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01932 to three decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268*x - 101*x = -372 + 9557. What is the smallest common multiple of x and (20\/(-6))\/((-2)\/33)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m + 2*m + m + (2 + 2 - 1)*(0*m + 0*m - 2*m) to f + o*m and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -16*s**5 + 29*s**4 - s**3 - s**2 - s. Let b(c) = -16*c**5 + 28*c**4 - c**3 - 2*c**2 - c. Let z(i) = -5*b(i) + 4*h(i). Factor z(m).\nAnswer: m*(m - 1)**2*(4*m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8397)\/(-6) + 35\/(-14) + 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2. Let f(g) = 15*g**2 + 2*g - 2. Let i(a) = -76*a**2 - 11*a + 11. Let q = 15 - 26. Let d(y) = q*f(y) - 2*i(y). Give d(b(t)).\nAnswer: -52*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -13*s + 3. Let h(v) = 26*v - 5. Let q(z) = -3*h(z) - 5*n(z). Let r(a) = 3*a**2. Calculate r(q(p)).\nAnswer: 507*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*v = -1 - 3, -4*n + 4*v + 16 = 0. Suppose 0 = 10*r - 4 - 16. Let o(m) = -r*m - 3 + 1 + 3*m - 3. Calculate o(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = -242*i + 4889246. What are the prime factors of i?\nAnswer: 19249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 228 + 382 + 2*g - 736 to r + a*g and give r.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -205\/6 - -34. Let v be 7 + (-192)\/(-448) + (-262)\/56. Let f = -0.6 + 0.2. Which is the third smallest value? (a) 0 (b) f (c) v (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -9 (b) -1\/5 (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-2) - 1\/(-1)) + 33. Find the second derivative of -22*w + a*w**3 + 39*w**3 - 53*w**3 wrt w.\nAnswer: 108*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4118, 8245, 12372?\nAnswer: 16499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-15) - (-2)\/3. Let c(g) be the second derivative of 0 + g - 1\/3*g**4 + 1\/5*g**5 + w*g**3 + 0*g**2. Find the third derivative of c(n) wrt n.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwdjwnnwnun. What is prob of sequence uw?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 45*r - 1. Let x(o) = 117*o - 2. Let z(h) = -5*u(h) + 2*x(h). Let a be 3\/2*4\/(-6). Calculate z(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + b554?\nAnswer: b552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - 31. What are the prime factors of ((-7)\/w + 1)\/(4\/(-80))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 5:10 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 11:51 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -5. Suppose g*o - 85 + 13 = 0. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50688 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 8*t - 946 = -4*c, -5*c = -2*t + 385. Let v = t - 185. Solve 0 = -3*f + 5*y + 25, -3*y = v*f + 6 + 9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - h + 1. Let g(j) = j**2 + 5*j - 5. Let q(i) = g(i) + 4*p(i). Let v be q(1). Let o(n) = n**3 + 3*n**2 + 2*n + 2. Give o(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1214 equal to 27.408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by ((-6)\/15)\/((-4)\/120).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33990 = -90*r + 95*r. Suppose -3534 = 4*z - 5*q + 1916, 0 = 5*z + q + r. Round z to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/5 + (-3 - 46\/(-15)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - 2. Let f = h + 15. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/8 of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 7:13 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5030 - -40\nAnswer: 5070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**6\/60 + b**5\/6 - b**4\/24 - b**3\/2 - 1302*b**2. Calculate v(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62 - (6 + -5 + 1 + (-2 - 1))) + -6.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 5. Suppose 4*p - 11 = l. Suppose p*u = 4*w - 24, -5*w - 3*u = -w - 38. Calculate the lowest common multiple of 5 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63956 and 1355?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((20\/(-7))\/(-5))\/3. Let s(g) be the first derivative of -4 - 8\/7*g - 2\/7*g**2 + n*g**3. Suppose s(b) = 0. Calculate b.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*2326220.1\nAnswer: 11631100.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10835 and 60303276.\nAnswer: 2167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1361640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (280\/(-21))\/(-40)*7326\/(-22)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 2*u = 8, -2*u + 3 = w - 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-12)\/(-8) - (-12276)\/(-5022) and 1\/(-1) - (-83)\/(-48).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/10 (b) -3\/5 (c) 0 (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1940675 < -1940661?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.2611 - -1.2611. Let g = 2.3 - 0.3. What is the fourth smallest value in 0.1, g, c, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 486365624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - h - 15 = 0. Suppose -35 = -h*k - 4*f, -5*f = k - 0*k - 28. Factor 0*l**5 - 3*l**4 - 3*l**5 + 2*l**k - 2*l**5.\nAnswer: -l**3*(l + 1)*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 106010 or 106009?\nAnswer: 106009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.29 - 2.69. Let v = l + -0.6. Which is the biggest value? (a) 1\/5 (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -55*k - 5*k**2 + 3*k**2 - 17 - 104 + 13 + 7*k wrt k?\nAnswer: -4*k - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -239190*d*o + 38788*d + o + 5 wrt o?\nAnswer: -239190*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.1 (b) -55 (c) -4\/1049\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 20 + 2 + -1. Let s be b\/(-10) + -2 + 4. Let d be (-1)\/2 - (-1)\/(-4). What is the closest to -2\/7 in d, 4\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 8. Suppose 0*g = -a*g - 2*p + 8, g = p. Solve -2 = g*d - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 7 + 21*x + 3.\nAnswer: 21*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1611040 to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-50)*-3*(-41625)\/(-2775)?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/14 and 3\/9 + 2730\/2880.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2969 less than 4792052238?\nAnswer: 4792055207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 915 and 3852?\nAnswer: 1174860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 1251*q**2. Let z(w) = -20*w. Calculate z(o(f)).\nAnswer: -25020*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 480129, 476676, 473223, 469770, 466317, 462864?\nAnswer: 459411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x - 15. What is the remainder when 19 is divided by l(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -829072, -829076, -829080?\nAnswer: -829084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*k**2*y - 19*k**2 - 1152*k*y - 4277 wrt y.\nAnswer: 48*k**2 - 1152*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9530 is divided by 4749?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 10*q**2 - 14*q**2 - 3.\nAnswer: -24*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253288362?\nAnswer: 2, 3, 42214727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 8:32 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m**5 - 4487*m**4 - 17145*m**3 - 24573*m**2 - 15629*m - 3720 = 0. What is m?\nAnswer: -744, -1, -5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tme when three letters picked without replacement from {t: 2, y: 1, e: 1, i: 1, m: 2, v: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4594 at least as big as 4594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1061 - 11673\/11. Sort -0.4, 82, a, 0.5 in descending order.\nAnswer: 82, 0.5, a, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4074252 (base 8) to base 5.\nAnswer: -234020331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -3\/2, 5, -0.5 in increasing order.\nAnswer: -3\/2, -0.5, 0.04, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28.3 - 28. Let s = -8.46 - 0.04. Let d = s + 9. Which is the third smallest value? (a) d (b) 2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.066152222 to three decimal places.\nAnswer: 1.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 343*v**4 - 17*v**2 - 539. Let x(q) = -229*q**4 + 12*q**2 + 359. Let i(c) = -5*s(c) - 7*x(c). Differentiate i(y) wrt y.\nAnswer: -448*y**3 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*i + 1741 + 4334. Calculate the remainder when i is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -139 - -135) + -134\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaspsikaaasiiab. Give prob of sequence isai.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -28, -5, -2\/333, 4 in decreasing order.\nAnswer: 4, -2\/333, -5, -10, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -68*a**3\/5 + 57*a**2\/10 + 27*a\/5 - 1313. Factor k(q).\nAnswer: -3*(4*q + 1)*(17*q - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g + 2. Calculate r(-16).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 1791634*s**2. Let x(j) = -j**2. What is x(a(n))?\nAnswer: -3209952389956*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -395 - -599. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 28*d**2 - 7*d - 16. Let j be m(-3). Suppose 2*k - j - 251 = 0. List the prime factors of k.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, 1\/6, -4, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49571 + 88585. What is m rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 77 = -5*a. Calculate the remainder when 54 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 98*l**2 + 15*l + 38198?\nAnswer: 196*l + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 + 55. Let w = 222 + -222.2. Which is the closest to 0? (a) 3\/7 (b) f (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: 6 - ((1 - (-12 - -18)) + -9)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27)\/1 + 7 + -7. Let h = 26 + l. Let q = 5 + h. Which is greater: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 31971, 63941, 95911, 127881, 159851, 191821?\n\"Answer: 31970*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, q: 2, c: 1}. Give prob of sequence sc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3311 (base 7) in base 9?\nAnswer: -1555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, s: 3}. What is prob of picking 2 j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -179 - -186. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3 = -1. Let z = -29.044 + 0.044. Let n = -33 - z. Which is the biggest value? (a) n (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32.5 - -213.9. What is v rounded to the nearest ten?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 8:34 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4) + (-405)\/30 - -1. Let f be ((-99)\/(-44))\/(((-3)\/r)\/1). Suppose -3*i + 12 = f*i. Solve -s = -o - i + 2, -s + 3*o - 5 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 - 72. Let b(q) = -6*q - 14. Let p(f) = -2*f - 5. Let i(w) = h*p(w) - 5*b(w). Let l(r) = 10*r**2. Give l(i(a)).\nAnswer: 40*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**2 + 92*j + 142. Let k be l(32). Let q(u) = u**2 - 15*u + 14. Give q(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/287)\/(((-510)\/(-17))\/(-10)).\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 164578 rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m - 4*h = 22*m + 32, 0 = 2*h + 4. Suppose -m*n + 139 - 19 = 0. Solve -3*u + 13 = n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 167 or 5?\nAnswer: 167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/(-15))\/(1\/9). Suppose u + 5 = v*a, -2*u = 2*a - a - 18. Calculate the remainder when u is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -3)\/(2*-1). Let p be 57\/24*-2*-8. Let t be p\/(-12) + 1 + 2. Which is bigger: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, n: 1, d: 2, x: 4}. What is prob of sequence adax?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**5\/11 + 112*o**4\/11 - 2048*o**3\/11 + 11324*o**2\/11 + 18050*o\/11 - 27436\/11 = 0.\nAnswer: -2, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481287 is divided by 1026.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 10. Let l be d(-9). Let t = l + 19. What is the lowest common multiple of 16 and t?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20336 = -8*c - 162032. Let y = 35067 + c. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/16665372 and -22\/531?\nAnswer: 983256948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/6*9\/(-4)*-1. Solve -u*r + j - 4*j = 15, -5 = 5*j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i - 4 + 4. Let m(h) be the third derivative of h**6\/720 + h**4\/24 + 2*h**2. Let j(p) be the second derivative of m(p). Calculate t(j(l)).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 2:57 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.587 and -2.15.\nAnswer: -1.26205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 11*v = 0. What is the derivative of 6 + 0*k + v*k + 150*k**3 - 152*k**3 wrt k?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1725291267 or 1?\nAnswer: -2\/1725291267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -51392\/9?\nAnswer: -51392\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 2 - 12 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12505 divided by 205?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ikukizikiikzu. Give prob of picking 1 u, 2 z, and 1 k.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 55*x**2 - 5*x - 5. Let g be v(-5). Suppose -2*l + n = -715, -4*l - 4*n + g = n. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*x + 10*x - x)*(252*x**3 - 1390*x**2 + 1390*x**2) in the form h + y*x + i*x**4 + d*x**3 + p*x**2 and give i.\nAnswer: 4536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23703803 times -4?\nAnswer: 0.94815212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 1:58 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34 - 64*c**3 + 26*c**3 + 29*c**3 wrt c.\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -2, 2557, 359, -4 in descending order.\nAnswer: 2557, 359, 2, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 556 - 566.89. Let j = -13.7 - o. Round j to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 5*t**2 + t**2)*(-202*t**3 - 48*t**2 + 103*t**3 + 98*t**3).\nAnswer: -5*t**5 - 240*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 11*j**4\/4 + 5*j**3\/6 - 18*j**2 + 4*j + 1. Is 39 a factor of c(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 40*m**2. Let b(q) = -27048*q. Determine a(b(i)).\nAnswer: 29263772160*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95140278 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -282, 3, -16 in decreasing order.\nAnswer: 3, 2, -16, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide (2\/2 + 0)*93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1333395, 1333397, 1333401, 1333407?\nAnswer: 1333415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 2*d - 3. Let q = -3 + 8. Let s be 15\/6*8\/5. Suppose -s*z - 5 - 11 = 0. Let k(j) = 2*j**2 - 2*j - 2. Determine q*k(b) + z*p(b).\nAnswer: 2*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 - -7. Let k = t - -44. Solve m - 4*m = -5*j - 12, -4*j - k = m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/10 + (-1 - (-123)\/15). Is 10 a factor of (-90)\/(-8)*-6*s\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 27997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a hour in seconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/21 and 61\/27489?\nAnswer: 27489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 4*y**2 + 4*y - 2. Let p = -43 + 45. Determine j(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7850 - 39232\/5. Find g such that 3*g + d - 3\/5*g**2 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -568, -1253, -1936, -2617, -3296, -3973?\n\"Answer: n**2 - 688*n + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 4095572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 2*u - 11, u + 0*u = -4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -65*q**2 + 9290*q - 9291. What is o(1)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + d5a?\nAnswer: d57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 92725061?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3.21 - -5778\nAnswer: 5781.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 39*o**4 - 3*o**3 + 1397*o**2 + 3*o. Let s(b) = 3*b**4 + 2*b**3 - b. Let q(a) = 3*s(a) + t(a). What is the third derivative of q(y) wrt y?\nAnswer: 1152*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**7\/525 - 1819*l**6\/450 - 1619*l**5\/150 + 101*l**4\/15 + 2428*l**3\/45 + 198*l**2 + 2*l. Let z(u) = 0. Calculate u.\nAnswer: -1, 2\/3, 1214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2045 - -1042256?\nAnswer: 1044334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 13*g - 23. What is c(-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 367*((-15)\/12 - -1). Let q = l - -91. Let z = -0.2 + -1.8. What is the third biggest value in z, q, 1\/8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-318)\/(-2 - -5)*(2 + 2190\/(-1100)) and -39\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((72\/(-54))\/4)\/(1*3).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 11:27 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3244042126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 98 + 19\/3*p**3 + 0*p**2 + 36*p. What is the derivative of h(k) wrt k?\nAnswer: 38*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-339)\/161)\/(-33 - -27) and -79\/28.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 272210\/97? (a) -0.1 (b) -5 (c) 0.2 (d) -4\/3 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/971 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x = -1158 + 1238 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k**3 - 2 - 249*k**2 - 254*k**2 + 0 + 756*k**2 - 251*k**2 + 249*k**4 as o*k**3 + d*k**4 + w + j*k + f*k**2 and give d.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**6\/180 + l**4\/12 - 2*l**3\/3 + 2*l**2. Let g(t) be the first derivative of j(t). Differentiate g(s) with respect to s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 11*z**2 - 3*z + 4 + 0*z - 4*z + 0*z. Let a(d) = -5*d**2 + 3*d - 2. Let m(c) = -9*a(c) - 4*n(c). What is m(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q. Let j = 4 - 10. Let p be 10\/(-15)*j\/4. Let u(s) = p - 1 + 2*s. What is u(x(w))?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -149291*n*p**3 - 2*n*p**2 + 5*n - 4163*p + 18 wrt p.\nAnswer: -895746*n*p - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/3 - 538*i + 167776\/3.\nAnswer: -(i - 98)*(i + 1712)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 113928209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6596671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 0 + 0*a**5 - 17\/210*a**7 - 1\/3*a**4 + 0*a + 0*a**3 + 12*a**2 + 0*a**6. Find the second derivative of y(k) wrt k.\nAnswer: -204*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(23\/5)*w\/w**25 assuming w is positive.\nAnswer: w**(-97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 1 (c) -0.01 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*x = -2, 0 = 16*y - 13*y + 4*x - 6. Factor 1\/3*s**y + 4\/3 + 4\/3*s.\nAnswer: (s + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4732254?\nAnswer: 2, 3, 19, 101, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 9:06 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b**2 - 10*b + 5. Let v(j) = -14*j**2 + 29*j - 14. Let i(c) = -17*k(c) - 6*v(c). Let f be 2\/8 + 27\/4. Suppose -f = 5*o + 13. Give i(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 977, 3, -402\/5, -2 in increasing order.\nAnswer: -402\/5, -2, -1\/5, 3, 977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g + 2 - 2. Let w(k) = -k**2 - 6*k + 9. Let t be w(-7). Let j(d) = 0*d + t*d + d. Give v(j(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234 = 6*m - 42. Let w = m + 196. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.489553 decades to centuries.\nAnswer: 0.3489553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1455665175 - 0.0491.\nAnswer: -1455665175.0491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three fifths of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + sqrt(4608) + sqrt(4608) + -2 - ((sqrt(80)*-1)\/sqrt(10) + 2))**2.\nAnswer: -1568*sqrt(2) + 76848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 5:08 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.032 rounded to the nearest integer?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40*(-11)\/88)\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.148.\nAnswer: 0.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1517 is divided by 51\/3 + -4*8\/32.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -t**3\/3 - 2*t**2 + 21. Let h be i(-3). Let k be (1 - 0) + 3 + 1. Which is the nearest to 0? (a) k (b) 2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -4*z - 17. Let h = 11 + z. Suppose -13 = -y + 3*s + h, y - 7 = -4*s. What is the smallest common multiple of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*v + 124*v - 21*v + 1452 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 o, and 1 v when four letters picked without replacement from {o: 2, v: 1, j: 2, p: 1, l: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*t + 55, 3*y - 5*t = -4*t + 25. Suppose 5*n - 25 = y*n. Which is the third smallest value? (a) 0.13 (b) n (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 47*m - 178. Let b be 31\/5 - (-13)\/(-65). Solve m*h - b*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, -1072, -2 in increasing order.\nAnswer: -1072, -2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1218 and 1653.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 3, 548, 9 in decreasing order.\nAnswer: 548, 9, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r + 40 - 613 - 350 to the form c*r + v and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**4 + 8*o**3 - 13*o**2 + 7*o + 7. Let b(p) = -p**4 + 3*p**3 - 4*p**2 + 2*p + 2. Let y(h) = -14*b(h) + 4*j(h). Solve y(g) = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10260 = 54*b - 44*b. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1690 + -1690.3. What is the second biggest value in 3, 8, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k**3 + 37*k - 280 wrt k?\nAnswer: -3*k**2 + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -1363\nAnswer: -16\/1363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -227301*i**5 - 162447*i**2?\nAnswer: -13638060*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132732 and 3712?\nAnswer: 123175296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 + 2*k**2 - k**3 + (2*k**2 - 4 + 4)*(3*k + 0*k - 5*k) - k**3 - 2*k**3 + k**3 - 10*k**3 + 2*k**3 - 2*k**3.\nAnswer: -17*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-42)\/56)\/(-1))\/(1\/20))\/(-8).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -3)\/(2\/2). Suppose -25 = v*j + 2*j. What are the prime factors of (-5)\/((-5)\/(-2))*j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 186\/61, 100\/17, -1\/11?\nAnswer: 186\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1125*q**2 - 3316*q**2 + 1098*q**2 + 1095*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32509 and 2603.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.207 - -0.307. Let q = 12\/5 - 53\/20. Which is the closest to p? (a) -4 (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79 + -124. Find the common denominator of ((-5)\/50 - 0)*-14 and (354\/y)\/(8\/(-6)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 6*z. Suppose -3*d = -p - 37, d - 3*p + z + 1 = 0. Suppose d*j - 16*j = -1418. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3978 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1176.957 months?\nAnswer: 98.07975","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 3 (c) 0.42 (d) 0.4 (e) -4\/3 (f) -233 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/6 + 801*g**2\/2 - 1195*g\/3 - 4804.\nAnswer: -(g - 2402)*(g - 4)*(g + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -4, -140, 10 in increasing order.\nAnswer: -140, -4, 1\/6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 16.2. Which is the third biggest value? (a) q (b) 2 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-3)\/90*-3). Let p = 14 + t. Calculate the common denominator of -47\/8 and p\/6 - 19\/(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6*t**2 - 16*t - 15. Give l(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3445369797 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36167449, 72334879, 108502309, 144669739, 180837169, 217004599?\nAnswer: 253172029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 12*i - 79. Let x be z(7). Does 4 divide 134\/(-6)*-3 - x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -91*p. Let v(l) be the third derivative of l**4\/4 + 2*l**2 - 147. Determine v(i(h)).\nAnswer: -546*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 8 = -4*x + 10, 7 = -3*f + 2*x. Solve b - 4 = 2*i + f, -4*i = -4*b + 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20283, 20261, 20239, 20217, 20195, 20173?\nAnswer: 20151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 - 53. Suppose b*w - 86 = 42. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -7*q**2 - 15*q + 5*q + 6*q**2 - 16. Let n be p(-7). Let w(f) = 5*f + f**2 - f**2 + f**2 - 2. Let x(a) = -a**2 - 6*a + 2. Calculate n*x(v) + 6*w(v).\nAnswer: v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -ca4 (base 15) in base 2?\nAnswer: -101100100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104260 - 205797 = -6*t + 467429. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 t, and 2 g when four letters picked without replacement from {l: 8, g: 2, t: 1, w: 1, d: 4}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 13*x - 14. Determine k(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-6)*4 + 80\/(-4). Let a(n) = -n**2 - 19*n - 10. Does 8 divide a(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 202 - 96 - 3*n - 45*n**2 - 106 in the form c*n + p*n**2 + b and give p.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 179.847 + 0.153. Let y = 161.49 - u. Let z = 19 + y. What is z rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340\/(-408) + ((-53452)\/5208 - -11).\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -394819*i + 2*i**2 + 5*i**4 - 4*i**3 + 4 + 394820*i + 5*i**3 in the form a + z*i**4 + q*i**3 + f*i + p*i**2 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 5:46 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 83\/(-249)*3*4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4714025?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*v = 0. Suppose -o = -v*o. Do o and 0 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*f + 1 - 1 = 0. Solve -5*s - v - 28 = f, -v - v = s + 11 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*t = 83*t - 277794. Suppose 0 = -13*w - 48*w + t. Does 23 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6 - (-13)\/3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -187290558 by -1.\nAnswer: 187290558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*x = 1169710, 4*s + 3*x = -2*x + 935764. Let o = 99946 - s. Round o to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(567) + -4*-1*sqrt(567) + sqrt(567))**2 + -1.\nAnswer: 45926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/40)\/(72\/(-45))*4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -378 (b) -2 (c) -3 (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -86060, -86063, -86056, -86033, -85988?\n\"Answer: f**3 - f**2 - 7*f - 86053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15320 and 71.\nAnswer: -15249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yeq when three letters picked without replacement from yeevyqypdppdppp.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-1.8.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05 + 0.049848. Round m to 5 decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*n = 36. Let p be (9\/n)\/(2\/(-8)). Let j be 10\/(((-12)\/(-2))\/p). Solve -j*y = -0*y - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 375 and 6.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*a + 0*a - 2 = 0, 2*i = 3*a + 11. Suppose 0 = i*f - 62 - 78. List the prime factors of f.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 274557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -13. Let w = 225 - 223. Suppose 5*x = -5*i - 5, 33 = -i - 4*i + 2*x. Sort i, o, w in descending order.\nAnswer: w, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*m**(-1\/2))\/m)**(-18)*(m**5*m)\/m**2)**(-24) assuming m is positive.\nAnswer: m**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**2 - 11*f - 17. What is b(-5)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132200232 + -3320?\nAnswer: 132141412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 43792.31 nanoseconds?\nAnswer: 0.04379231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 17901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4 + 0 = 0, -5*a + 22 = -g. Suppose -a*w = -2*o - 10, w + 2*o - 12 - 3 = 0. Solve -3*i = w*x - 27, 5*i - i + x = 19 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 269906151 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnvvnvnnnnvnwnndv. What is prob of sequence vdv?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 42*w**3 - 28*w**2 + 30*w. Calculate z(1).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 494723?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -1 - (-69 - 0). Suppose -2*d + 3*a = 2*d - h, 4*a = -5*d + 94. Let c = d + -3. Solve -o - r + 5 = 2*r, 5*r = 3*o - c for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 3*z + 9, 90*z = -2*w + 88*z + 8. Suppose -g = 2 - 4. Solve w*x - g*x + 4 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -155? (a) 3 (b) 0.3 (c) -2\/11 (d) 0.143\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 0*c + 2*c - 2*c + c. Let k(h) = 18 + h - 37 + 20. Let n(f) = f - 1. Let r(s) = -2*k(s) - n(s). Give -5*b(a) - 2*r(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2055.3099916209 + -2055.31. What is t rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 836266.5 decades in years?\nAnswer: 8362665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-15) + 2528\/20. Let p = z - 61. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrry when four letters picked without replacement from {y: 3, z: 1, j: 11, r: 5}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 3*s - 3124, 4*b + 5*s = 1471 + 1036. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652726 divided by 3382?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 11*t**2 - 11*t - 5. Let r be m(8). Let a be 29\/9 + (-22)\/r. Determine l so that -2\/11*l**5 + 0*l**4 + 4\/11*l**a - 2\/11*l + 0*l**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**3 + 4*n**2 + 357.\nAnswer: 3*n**2 + 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 277586 - 14433905\/52. Let p = l + -43\/4. Factor 56\/13*r - 16\/13 - 16\/13*r**4 + p*r**5 + 50\/13*r**3 - 76\/13*r**2.\nAnswer: 2*(r - 2)**3*(r - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2218*j - 2501*j - 48 + 306 wrt j?\nAnswer: -283","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of (0 - 0 - -2)*(498 - -1157)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 8. Let s be k(-5). Let h = -2.1 - -2.3. Sort h, s, 4.\nAnswer: h, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003824283 to 5 decimal places.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a92a + 622?\nAnswer: -5a308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80461486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 s, and 1 o when four letters picked without replacement from pyoppys.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 85\/28, -5, 0.4, 4\/35?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*q = 842 + 607 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 2*j**2 - 1. Let z(i) be the third derivative of 0*i**3 + 0*i - 1\/12*i**4 - 43*i**2 + 0. Calculate z(l(t)).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-46)\/(-12) - 3 - 2\/(-12). Suppose -5*v = -2*c - 8, -2*c - v + a = -3*c. Which is greater: 1\/36 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -284 + 77. Let m = -44 - y. Does 21 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 11056\nAnswer: 11054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 1.243?\nAnswer: 0.2486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8685, 8772, 8859?\nAnswer: 8946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 + 171*s**2 - 2190*s + 3672.\nAnswer: 3*(s - 9)*(s - 2)*(s + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = t - 6. Suppose 70 = 2*d - t*g, -3*g - 32 = -5*d + 153. What is the remainder when d is divided by (189\/(-36))\/((-4)\/16)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-2 + (-5 - (-6 + -3)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133120 = -4*v + 4*t, 3*v = 8*v + 3*t - 166368. Does 94 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/11 - 8*q**3\/11 - 14*q**2\/11 + 20*q\/11.\nAnswer: 2*q*(q - 5)*(q - 1)*(q + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + -36. Let i be (-2)\/2 + (y - -8). What is the highest common factor of i and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2085*z - 66780 = -2106*z. What is the highest common factor of z and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6800 and 2210?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/6021 or 1?\nAnswer: -2\/6021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003273949 rounded to five decimal places?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + k - 6 = 0, -2*u - 3*k + 2*k + 2 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1642\/468 + 2\/9 and -61\/10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8)*u**(-7))\/(u\/((u*u*u**2*u*u)\/u))**24 assuming u is positive.\nAnswer: u**81","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 2*f + 14, 3*f - 4*f - q = -8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 560\/90 + 2\/(-9). Suppose 2*h - 4*t + 3*t - 14 = 0, 5*h - 41 = 4*t. Find the third derivative of 4*a**6 - 3*a**2 - 10*a**5 - u*a**5 + 16*a**h wrt a.\nAnswer: 480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230102 (base 4) to base 5.\nAnswer: -42314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12288 + 12288 - 4*o)*(-4 + 1 + 6) + 2*o + 8 - 8 + (2 - 3 - 1)*(0*o + 4*o - 3*o) - o - 6*o + o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 2*n + 46, -39*d + 34*d = -n + 37 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**3 - 330*j**2 + 30939*j - 60534 = 0. Calculate j.\nAnswer: -171, 2, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 596989772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(105)\/sqrt(3))\/sqrt(5))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -185 - -185. Which is the third smallest value? (a) 0.5 (b) r (c) 19 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vss when three letters picked without replacement from svs.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2026 + 2069. What is the highest common factor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83915\/6 - -13909. Let z = i - -77. Which is the second biggest value? (a) 1\/3 (b) z (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*r**5\/7 - 3120*r**4\/7 - 96745*r**3\/7 - 172585*r**2 - 496825*r + 24179763\/7 = 0. Calculate r.\nAnswer: -167\/6, -17, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-52)*(-2 + (3 - -3)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 901326.\nAnswer: 9914586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 27.46.\nAnswer: 47.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = 6*r - 12 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -13)\/(2\/(-18)). Let k = 1106 + -974. Let x = k + l. Calculate the highest common divisor of x and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millennium in decades?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**6\/120 - z**5\/3 + 19*z**4\/24 - 11*z**3\/6 + 93*z**2. Determine b(19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 838307?\nAnswer: 563, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134050 (base 6) to base 12.\nAnswer: 7326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 5:36 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20500 rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1111037*s**3*x**3 + 2*s**2*x + x**3 + 130*x**2 - 30*x - 3 wrt s?\nAnswer: 3333111*s**2*x**3 + 4*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1) + 28 - (-320 - -334).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -23*f - 4. Let n be l(-6). Let h be (-4)\/8 + n\/4. Find the common denominator of (h\/12)\/(1\/9) and 101\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55676\/5, 1\/5, -0.2 in descending order.\nAnswer: 1\/5, -0.2, -55676\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 38256648.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 8, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((((x**(-9)\/x)\/x)\/x)\/x))\/x**(-10))\/(x**7\/(x*x\/(x*x*x**(1\/4)\/x))) assuming x is positive.\nAnswer: x**(71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(1\/12))**(-19) assuming u is positive.\nAnswer: u**(-475\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**0*c**14*c assuming c is positive.\nAnswer: c**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -19. Suppose i - d = -4*i. Find the second derivative of 2*l**i - 4*l - 20 + 20 wrt l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 16*n + 88. Determine v(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -17 + 10 - -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 332268249 and 921?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -10 + -8 + 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 648 divided by 54.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 4\/12)*3. Which is the fourth biggest value? (a) 0.01 (b) 8 (c) -1\/3 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559012 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: Let r(b) be the second derivative of b**5\/10 + 2*b**2 + 31*b. Let h(m) = -3*m**3 - 2 - 3 + 0*m**3. What is -4*h(j) - 5*r(j)?\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22441 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12755 - 104?\nAnswer: -12860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5632\/(-66))\/16)\/((-2)\/(-12))*-2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20546938.\nAnswer: 2, 10273469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*f + 403*f - 59 = -4*v, 3*v = 42 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4 + 1391220*v**3 - 215057569968*v**2 + 11081916547062192*v - 66483757510353936.\nAnswer: -3*(v - 154578)**3*(v - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -1190*x**2 + 5*x. Let d(r) = -74971*r**2 + 316*r. Determine -5*d(p) + 316*i(p).\nAnswer: -1185*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 110910300 rounded to the nearest 1000000?\nAnswer: 111000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 14*o - 39. Give m(-26).\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14965, 0.67, -2\/23 in increasing order.\nAnswer: -0.14965, -2\/23, 0.67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + v = -108, 0 = -2*u + v - 5*v - 12. Let o(i) = 35*i + 493. Let a be o(u). Let s = -2.3 - -2. Sort s, a, 1, -7 in ascending order.\nAnswer: -7, s, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b**(-3))*b)*b*b)\/(b**4\/b)*(b*b*b**(-1\/3)*b*b)**48 assuming b is positive.\nAnswer: b**172","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1, 2, 3?\n\"Answer: t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -23*b - 32. What are the prime factors of (77\/(-7) - 488)\/(1 + b)?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/130*240\/1584?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/14 - 6\/21. Let s be 0\/(-1) + (-6)\/q. Suppose -8 = -b - 2*o + s, -4*b - o = -23. Calculate the greatest common divisor of b and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.018 in 6\/25, -52, -2\/3, -0.05, 2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 161770764?\nAnswer: 161770763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-23)\/(-5) + (-2)\/(-5). Suppose -16 + 1 = -m*t. Is -1 + 44 + t - -3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 124063 + 22301?\nAnswer: 146364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + t - 6 = 0, -27*s - t = -22*s + 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from kkcckkck.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2663327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 9*x - 6. Let k(l) = -l**2 - 8*l + 5. Let o(u) = 5*g(u) + 6*k(u). Suppose 1 + 1 = -m. What are the prime factors of o(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 - 10*p - 20*p**4 - 10*p + 2 + 21*p - 3*p as a*p + j + i*p**3 + h*p**2 + b*p**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 80 = 5*n. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdsddsdddddddddddddd. Give prob of picking 2 s and 2 d.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.214 - 1.014. What is the smallest value in 0.5, -5, m, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 8*h + 16. Solve 5*o - o = h*l + 16, 0 = -2*l + 5*o - 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 206, 207, 208?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -11. Let t be (3 + 2)*(1 + -2). Put 0.3, t, c in descending order.\nAnswer: 0.3, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, x: 7, s: 7, o: 1}. Give prob of picking 1 x, 1 o, and 1 s.\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/732 and -29\/12?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 24, 127, 298, 537?\n\"Answer: 34*d**2 + d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - l**2 + l + 51. What are the prime factors of i(0)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 1. Let n(i) = 2*i**3 - 7*i**2 - 4. What is k(q) - n(q)?\nAnswer: -2*q**3 + 7*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w + w**2 + 4*w + (0 - 2 + 3)*(w**2 + 0*w**2 + w**2) + 2*w**2 - 2*w + 2*w - 4 - w**2 + 4 + 8*w - 8*w + 4*w**2.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/5 - 24142*q\/5 - 3570492 = 0.\nAnswer: -699, 12770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51.77 + 0.21.\nAnswer: 51.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 - 87*o + 1122. What is s(-52)?\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x - 18. Let o = -696 - -704. Determine u(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.33182 + 10.42. Let c = i - 0.0964. Round c to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 greater than or equal to 141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*k + 24*k - 42. Let f be (2 - 1)*4 - 2. Let p(j) = 0*j**2 + 9*j**2 - k*j**f. Let c(a) = a**2. Determine p(c(h)).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 43001617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44 + 46?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25273872 divided by 526539.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41.1 + 46. Let z = n + -5. Let i = 0 + 1. Which is smaller: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*n - 3 + 3)*(0*n + 2*n - n) - 4*n**2 - n**2 + 2*n**2)*(-n + n - 6*n).\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**3 - 3816*d**2 - 1797120*d + 22118400 = 0.\nAnswer: -960, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17772 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: Factor -16\/5*d**2 - 3*d**3 + 0 + 0*d + 1\/5*d**4.\nAnswer: d**2*(d - 16)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000088327 to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.126 - 33.874. Let a = -38.92 - z. Round a to one decimal place.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 18 = 3*l, 5*m - l = -5*l + 25. Suppose x - m = z, -3*z = -0*z + 5*x - 37. Suppose -z*o + 251 = -3*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221392620 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 2653299.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**0)*b)**5\/(b\/(b*(b*b*b**(-2)*b*b)\/b)*b**6)*b**(1\/2)*b*b\/((b**0*b)\/b)*b*b*(b*b**(-5))\/b*b*b*b**(1\/6) assuming b is positive.\nAnswer: b**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 3:27 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-4 - (4 + -6 - 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -48854 and -1701558367.\nAnswer: -1701607221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33838*f**2*k**3 - 90*k**3 - 37*k wrt f.\nAnswer: 67676*f*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**14)**7\/(r**(-16)\/(r*r**(-1)\/r)) assuming r is positive.\nAnswer: r**113","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7\/3)\/((-66)\/(-594)). Solve -3*o + 4*n + 11 = 0, 2*o = -11*n + 8*n - k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 52\/14 - 4\/(-14). Suppose -v*h + 12 = -0*h. Calculate the least common multiple of (40\/(-14))\/((-6)\/21) and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-7))\/(((-4)\/42)\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5516794.\nAnswer: 2, 2758397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9988296 is divided by 700.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((28\/147)\/(-4))\/(3\/108*6).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4337 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16705 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-27) + (-2)\/18. Let m = -93\/2 + 47. Which is the smallest value? (a) m (b) -5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 68 - 62. Suppose -4*d + o = -300, c*d - 3*d - 3*o = 225. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -7*x - 1. What is the remainder when m(-13) is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2. Let w(p) = -231*p - 207. Determine w(s(v)).\nAnswer: -693*v**2 - 207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.053308830909421 minus -3?\nAnswer: 2.946691169090579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 6*j - 8. Suppose 3*f - j*o + 6 = f, 4*o = 20. Suppose -f*m + 3*m = 0. Solve m = -5*q + 2*u - 13, -2*q + 0*q = 3*u + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 168\/(-120) + 60\/25. Which is smaller: 18\/311 or c?\nAnswer: 18\/311","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 c when three letters picked without replacement from cicccci?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 27.9 (b) 0 (c) 18\/77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.41, 0, 3, 0.3, 5?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 4 = a. Let o = 1 + a. Let y be o\/(-2) + (-2)\/4. Let t(q) = -q**2 + q - 4. What is t(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * 3138142.\nAnswer: -2196699.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r - 1. Let y be p(-2). Let o be (-4353)\/(-28)*(-8)\/(-12). Let f = o - 207\/2. What is the nearest to -0.1 in f, -4\/5, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppu when four letters picked without replacement from ppupu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -1)*(-3 + 2). Let r = 0.5 - 0.5. Which is the smallest value? (a) 4 (b) r (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*(0 - 6\/8). Suppose -5*o = -3*p - 831, -n*p = -2*o + 133 + 203. Let r = 243 - o. Is 22 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2064.153622016 - -0.027?\nAnswer: 2064.180622016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*q\/q**15*q*(q*q\/q**(-29))\/q*((q\/(q**(6\/23)*q*q))\/q)\/((q\/q**(-8\/5)*q)\/q) assuming q is positive.\nAnswer: q**(1626\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 693943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 5, -p = 47*l - 44*l - 28976. Calculate the remainder when l is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 373 + -372.9. Which is the closest to r? (a) 3.6 (b) -1 (c) -0.4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44263133, 88526267, 132789401, 177052535, 221315669, 265578803?\nAnswer: 309841937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1906, -3784, -5700, -7672, -9718, -11856, -14104, -16480?\n\"Answer: -3*f**3 - f**2 - 1854*f - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-2 - 6\/3). Solve 5*r = -v + 2*v - 20, 3*v - s = 2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l + 3 - 3 + (1414 - 3*l - 1414)*(-1 - 2 - 2) to the form f + x*l and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 5 - 2 = -8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 4 = 29*m, -3*z + 16 + 23 + 22 = 2*m - 15 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1508681217?\nAnswer: 3, 7717, 65167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 2*y + 15 = 0, 124*y - 114*y = -k + 71 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 223b12137 - 3?\nAnswer: 223b12134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + -5 + 1*sqrt(405) + 4)**2 - (-3 + sqrt(15)\/(sqrt(3) - (sqrt(3) - sqrt(48))*5)).\nAnswer: -577*sqrt(5)\/16 + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 8:25 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1120.4 times 0.04\nAnswer: 44.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4}. What is prob of picking 4 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11446\/329 + 217051\/24675. Let t = h - 131\/3. Are 0 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.365655 times 3.6\nAnswer: -1.316358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + 2 - 2)*(0 - 5*j + 0).\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m - 4319 + 4318 = 3*x, -14 = -4*x - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1321285 (base 11) to base 7.\nAnswer: 25266511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 8*w - 19. Let i be 4 - (-1)\/(2 - (7 + -4)). Let s be b(i). Suppose 4*a - 3*u - 26 = -u, 4*a + s*u + 9 = 0. Solve -3*n + 4*n = -a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k**3 - 2*k**3 - k**3 + (8*k - 12*k**3 - 8*k)*(-5 + 7 - 4) as w*k**3 + i + x*k**2 + q*k and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0157775492 to 4 dps.\nAnswer: -0.0158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2. Let x(v) = 409*v**2 - v. Determine i(x(c)).\nAnswer: 167281*c**4 - 818*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.31 - 5.31. What is the closest to j in 0.3, 4, -14\/3?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 3147 - 1251 = -42*v, -16*v + 11*v - 235 = 5*t for v.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 137717\nAnswer: 13771.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -102. Let i be (681\/3)\/(-2 + (-195)\/z). Round i to the nearest 100.\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 124 = -2*h. Suppose h = 2*s + 5*f - 55, 3*s + 4*f - 193 = 0. What is the remainder when s is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-3) + 50\/6. Suppose 3*s = 38 - a. Suppose 5*i - 17 - 13 = 0. Calculate the remainder when s is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -cd3d (base 14) to base 2\nAnswer: -1000101011001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.7323751m?\nAnswer: 732.3751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 20 = 0, -2*r - 9 - 1 = 4*g. Let u be (g - 1)*1*(-4 + 2). Let s = u - 28. What is s rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7025058\/54*45\/(-10)*-2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 183828*f**6 - f**5 + f**3 + 370*f**2 + 5848 wrt f?\nAnswer: 22059360*f**3 - 60*f**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080 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: Let x = -8 + 7. Suppose -2*u = 2*u. Let j be (0*(u - 1))\/1. Put j, -4, x in increasing order.\nAnswer: -4, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 2:30 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -9*d**2 + d - 13. Let p(w) = 25*w**2 - 2*w + 41. Give -4*p(h) - 11*t(h).\nAnswer: -h**2 - 3*h - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 7:14 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -9, -4, -5 in descending order.\nAnswer: 5, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-84)\/99)\/28)\/(31\/2790)?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/7 + (-138)\/(-42). Factor m*d**3 - 6*d**2 + 3*d**4 + 8 - 8.\nAnswer: 3*d**2*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 11:37 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 14 - 16 = 0. What is the second smallest value in q, -3, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v + 1. Let h be x(-1). Suppose -3 + h = 3*z. What is the least common multiple of 6 and -3 + z + 6 + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 17202?\nAnswer: -51606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 1:03 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 43 = -4*n. Suppose 4*b = 3*y - 59, -5*y - 3*b = -28 - n. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 6*b**5 - 3212*b**4\/3 - 25058*b**3\/3 - 44404*b**2\/3 + 25040*b\/3 + 15872 = 0.\nAnswer: -4, -32\/9, -1, 1, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9\/62, 0.5, -2, 3\/14?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, j: 1, u: 1, i: 3, n: 4}. What is prob of sequence uni?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**3 + 2*g. Let r be x(2). Suppose 3*q + 0*q - 39 = -4*p, -5*p + 3*q = -69. What is the remainder when p is divided by 1\/(-2*(-2)\/r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102011002012 (base 3) to base 6.\nAnswer: 4412052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 2:17 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3106778, -12427109, -27960992, -49708427, -77669414?\nAnswer: -111843953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -36*s + 39*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 18, 25, -126 in descending order.\nAnswer: 25, 18, 4, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2. Let n(r) be the third derivative of 173 + 0*r + 0*r**3 + 1\/8*r**4 - r**2. Give n(y(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (6162\/390 - 11)\/((-145)\/(-450) + 4\/(-18))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2967 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 6, 4, 3\/17, 3\/5, -3\/1357, 2\/19, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 7) in base 6?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(46\/(-40) + 1). Let k be (0\/14)\/(19 + -18). Solve 3*w + w - r = k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r. Let c(g) be the second derivative of 8*g + 0*g**2 + 0 - 4\/3*g**3. Give c(a(p)).\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**4 - 245*j**3 - 3420*j**2 - 10900*j - 10000 = 0. What is j?\nAnswer: -25, -20, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(4 - (-3745)\/(-935)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 536, 1649, 3336, 5597, 8432, 11841?\nAnswer: 15824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21*563 + -85 + 82?\nAnswer: 2, 3, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 803 + 1?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38 or -34?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 48*k - 12 + 11 in the form a + i*k and give i.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**3 + 2*s - 52. Let j(y) = 21*y**3 + 9*y - 211. Determine 2*j(f) - 9*m(f).\nAnswer: -3*f**3 + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -1929*n**2 + 20*n + 1786. Let c(a) = -5788*a**2 + 55*a + 5356. Let f(v) = 4*c(v) - 11*y(v). Differentiate f(g) with respect to g.\nAnswer: -3866*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82624637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x**3 - 3*x - 10. Let a(l) = 4*l**3 - 2*l - 11. Let p(f) = 3*a(f) - 2*h(f). Find the first derivative of p(q) wrt q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 879 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50.838 - 89.57. What is r rounded to 0 decimal places?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -96453*j**2 - 3*j - 113875.\nAnswer: -192906*j - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 124\/2417? (a) 0 (b) -0.1 (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1666954971 and 3069?\nAnswer: 3069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 727.6272ml in litres?\nAnswer: 0.7276272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (147\/49)\/(1\/3) + 29974 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014591 rounded to six decimal places?\nAnswer: 0.000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 17248\/704*176\/231\nAnswer: 56\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3*d + 22 - 4, 0 = 2*s - d + 46. Let p = s - -33. List the prime factors of 21*((-24)\/p)\/(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2935 + 0?\nAnswer: -2935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -628 - 623 + 1251 + 3*q**2. Let m(h) = 239*h + 1. Determine m(u(k)).\nAnswer: 717*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 5. Sort f, 3, 0 in decreasing order.\nAnswer: 3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3099*y + 49*y - 2438 = 710*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 48*v - 2. Let z(k) = -201*k + 9. Let g(n) = 9*q(n) + 2*z(n). Let c(b) = 2*b. Calculate c(g(r)).\nAnswer: 60*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 991 - 46575\/47. Let r = -100\/4277 - a. Which is greater: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -12. Suppose -5*z = -d*p - 4*z - 41, -4*z = -4. Is (84\/p - 1)*-2 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.3 + -0.7. Let n = q + 4.4. Which is the smallest value? (a) -2 (b) n (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 63 + 283. Let v = c + -29. Calculate the highest common factor of v and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 103568579.1s?\nAnswer: 171.24434375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 6 - 0. Suppose z*t - 20 = -t. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*q + 38132 + 342635 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**3\/6 - 1013*s. Let m(c) = 973*c. What is n(m(v))?\nAnswer: -973*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(77))\/((3*sqrt(55))\/sqrt(5) + sqrt(11)) - (0 + (sqrt(7) - (3*(1 + sqrt(7)) - sqrt(7))) - ((1 + sqrt(7))*6 + -2)).\nAnswer: 7 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6*v**3 + 5*v**2 - 41*v - 5. Let n(z) = -z**3 - z**2 + z + 1. Let f = 30931 - 30930. Determine f*d(r) + 5*n(r).\nAnswer: r**3 - 36*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 4, 1\/3, 203, 5.6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2626.\nAnswer: 2, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*q - 2*q + 16*q + (-13*q - 23 + 23)*(8 - 2 + 0) + q + 0*q - 4*q in the form u*q + p and give u.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 10:33 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 454 + -52211\/115. Let h = 233\/345 + q. Which is the closest to h? (a) 2\/15 (b) -2\/19 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11995 (base 10) to base 13.\nAnswer: 55c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 8. Let z be d(10). Find the common denominator of (z\/(-48))\/((-1)\/262) and -61\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10577827 is divided by 72.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/((1 + 3)*(-12)\/(-24)). Let z = -3 + -1. Let c be ((-3)\/(-6))\/((-26)\/z). Which is greater: d or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -4*t + 6*t - 12, -4*t + 34 = -5*b. Suppose 2*v + a = 13, 0 = -v - a - 2 + t. Suppose 76 + 4 = v*s. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 3 (b) -2\/19 (c) -5 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11110 (base 3) to base 10\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64.25 + -0.25. Let b = q + -65. Which is smaller: b or 4\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 313 + -307. What is the common denominator of 109\/30 and 1470\/150*(-5)\/a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + l + 4*m + 19, -5*m - 25 = 4*l. Let u = 70919 - 70919.4. Let k = -2 + 6. Which is the second biggest value? (a) u (b) -0.5 (c) l (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 3*z - 3*z)*(-1 - 1 - 1).\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 7) + (-63 + 8)\/(-11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 2810?\nAnswer: -2808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-5 + 1 + sqrt(108))*3)**2.\nAnswer: -432*sqrt(3) + 1117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1248 and 2517216.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 220*u. Let r(o) = 2*o**2. Determine j(r(c)).\nAnswer: 440*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -25679, 4, 3, 14\/9, 1, -2?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7113390?\nAnswer: 2, 3, 5, 67, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 52156 * -1.556\nAnswer: -81154.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 1. Let y(h) be the third derivative of -h**4\/24 + h**3\/3 - 2*h**2. Determine 3*t(f) - 2*y(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 104 = -5*p. Let z = -449 + 421. Let y = p + z. Which is the nearest to 2? (a) y (b) 0.5 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 485 divide 70300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 819 and 17589780?\nAnswer: 123128460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**4\/6 - 119*o**3\/6 + 194*o**2 + 758*o\/3 - 1280\/3 = 0?\nAnswer: -128, -2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6118 is divided by 1102.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -15*u**3 - 11*u. Let z(x) = 8*x**3 + 6*x. Let j be 1 + (48 - (2 + 0)). Let a = j + -67. Let o = -14 - a. What is o*l(c) + 11*z(c)?\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9*4\/1008 - (-2)\/8\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-101)\/((-10504)\/1976) + -74.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1585, -1704, -1823, -1942, -2061?\nAnswer: -2180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170211714 and 2634.\nAnswer: 2634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 11*c - 3 + c + 1 to x*c + p and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225715270 and 16060.\nAnswer: 8030","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 343218341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49419*g**6 + 4*g**5 - 244*g**2 - 247*g - 17 wrt g.\nAnswer: -5930280*g**3 + 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -4275.0486412.\nAnswer: 4274.0486412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - i**2 + 2*i - 3. Let k be f(2). Suppose 0 = k*d - 3*l - 31, 2*d - 3*l = -d + 15. Let g = 4 + d. What is the lowest common multiple of g and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9c9 (base 16) to base 3.\nAnswer: -10102210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 equal to -5533\/1164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/4944 and 29\/330.\nAnswer: 271920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-1)\/(-30)*5)\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 505470 to the nearest 1000.\nAnswer: 505000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -186*c**2. Let q(g) = g**2. Determine q(k(z)).\nAnswer: 34596*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 610*k - 3653. Let g be i(6). Let u(y) = -3*y. Let c be u(-1). What is the highest common divisor of g and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 299 = -959. What is the greatest common divisor of 66 and a?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -9*t**3 - 47*t**2 + 11*t. Let y(z) = 5*z**3 + 23*z**2 - 6*z. Give -6*i(g) - 11*y(g).\nAnswer: -g**3 + 29*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 5. Let p be z(-7). Suppose -p*r = 12980 + 710. Let t = 33945 + r. What is t rounded to the nearest one thousand?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 6*v**2 - 157*v + 18. What is s(17)?\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*k - 30. Suppose y + y - k = 0. Suppose y*t = 4*t - 5. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-2) - (0 - 12). Let j = -11 - -5. Let v be j*(2*-1)\/4. What is the highest common divisor of o and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*g**2 - 1087*g - 10*g**2 + 1084*g.\nAnswer: -51*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 4*h - 18. Let g be j(8). Let t = 25 - g. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 15*c**2 + 69*c + 500. What are the prime factors of w(28)?\nAnswer: 2, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 4)*6*3 - -1*(sqrt(243) - (4*(sqrt(243) + 1) + sqrt(243))**2).\nAnswer: -6019 - 189*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 17*j + 5 + 8*j + 0 - 7*j. Is c(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -50*i + 157. Let v be d(3). Solve -w = 6*w - v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*x - 24 = 0. Let v be (-2)\/(-3) + (-230)\/x. Suppose 0 = -4*i + 7*i - v. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 1\/5, -430, 0.4 in decreasing order.\nAnswer: 0.4, 1\/5, -4, -5, -430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -301686*m + 512370.\nAnswer: -301686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 779950201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8970 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57270\/13, 3, 0.4, 6\/5, 8 in increasing order.\nAnswer: -57270\/13, 0.4, 6\/5, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9988678*m**3 - 16609243*m.\nAnswer: -59932068*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 406940523 or 406940524?\nAnswer: 406940524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1370 - 1367. Suppose 12 = 4*q - 4. Put 8, o, q, 5 in increasing order.\nAnswer: o, q, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7557 + 1?\nAnswer: 7558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4 = -2*w + 2*r, 4*r = -4*w - 8. Suppose 2*a = -2*a. Let b = w + a. Solve 3*h - 4*g - 7 = -b*h, 5*h - 2*g = 21 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -191*v**2. Let g(x) = 37*x. Let f(c) = 5*c - 79. Let m be f(13). Let n(u) = -16*u. Let l(i) = m*n(i) - 6*g(i). Calculate o(l(d)).\nAnswer: -764*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 - 89. Let m = o + 12. What is the units digit of 7 - 25\/m - -165?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + (-14)\/(-8))\/((-7)\/(-28)). What is the closest to 1 in -2\/11, i, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54408 and 54408.\nAnswer: 54408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7612374059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1401456 (base 8) to base 10.\nAnswer: 394030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400857109.\nAnswer: 293, 389, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5121.\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*j - 3*j. Let m be ((-3)\/j)\/(9\/(-12)). What are the prime factors of (2*9)\/m - 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40815710 divided by 2.\nAnswer: 20407855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*t - 2060, 2*t = 4*m + 60 + 8180. Round m to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5))**(-2\/57)*d\/d**5*d**(-1\/3)\/d assuming d is positive.\nAnswer: d**(-1516\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 9*k**2 + 52*k + 14. Let a be b(-8). Calculate the greatest common divisor of a and 4698.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t**2 - t**2 + 12*t**2.\nAnswer: 23*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**5\/60 + d**4\/6 - 4*d**3\/3 + 7*d**2. Let g be o(4). What is the units digit of (-375)\/g + 14\/112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -896, -7338, -24830, -58898, -115068, -198866, -315818, -471450?\n\"Answer: -921*o**3 + o**2 + 2*o + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sevenths of a week in hours?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -115 - -122. What is the greatest common divisor of o and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 8*l**2 - 13*l + 2. Let c(q) = q**3 + 6*q**2 - 15*q + 2. Let w be c(-8). Let z(k) = -7*k**2 + 12*k - 1. Let b(s) = w*o(s) - 7*z(s). Calculate b(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/332 (b) -42 (c) -0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 70\/(-7)*2*2\/(-10). Suppose u*r + r = 360. Suppose 280 = 76*f - r*f. What is the highest common divisor of 28 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 - 105. Let v = -29 - y. Calculate the remainder when 78 is divided by v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 958 and 799557817.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 13*i = 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 - 73.2. Let y = -1533 + 10728\/7. Which is the second biggest value? (a) -0.08 (b) y (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3 + 18*w**2 + 248*w + 408 = 0 for w.\nAnswer: -6, -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - i - 4. Let f = 22 + -20. Let q(m) = 9 + 5*m**2 + m + 12 + 5*m. Calculate f*q(b) + 11*d(b).\nAnswer: -b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 18*n**2 - 32*n + 2. Let u be j(-16). Suppose p - 1 = -3. Let x be p\/4 + (-30)\/(-12). Solve 4*g + 8 = -12, -u*g - x = -2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272427700?\nAnswer: 2, 5, 19, 127, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 12:22 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 5:34 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59984 and 69349328?\nAnswer: 2608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b**4\/5 - 176*b**3\/5 - 464*b**2\/5 - 64*b + 96\/5 = 0. What is b?\nAnswer: -6, -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (4\/5)\/(26\/16848*-18)*(-5)\/4\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7457 = 124*g - 1415*g - 20386 + 7187 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/120 and -93\/188?\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 213201, 213203, 213205, 213207, 213209, 213211?\nAnswer: 213213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2754 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + k**2 - k + 9. Let w be u(0). Let v be -1 - -1 - w\/12. Put -1\/3, -5, v in decreasing order.\nAnswer: -1\/3, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1091 + -376. Let h = m + -714.9. Which is the closest to -2\/3? (a) 1\/4 (b) h (c) 7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 236, 251, 266, 281?\n\"Answer: 15*o + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 17*q = -q. Let h(i) be the third derivative of 0*i + q - 1\/30*i**5 + 0*i**3 + 5*i**2 + 1\/8*i**4. What is the second derivative of h(b) wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 27. Calculate the remainder when 4 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, 23, 35?\n\"Answer: 12*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5821550533?\nAnswer: 17, 829, 413081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*t**3 + 143*t**3 - 37*t**3 + 215*t**3.\nAnswer: 403*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 481491\/190652 + -12\/4333. Calculate the common denominator of s and -83\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -76507\/62 > -1233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7370*15.\nAnswer: 110550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4856261 + 3229090. Let f = 38834 + r. Let v = f + 538337. Round v to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 9450.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-224)\/24*3*1. Let r be (z\/(-4) + -4)\/1. Suppose r*k = 6, -3*c + 5*c = k + 6. Solve -2 = -c*v + 5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/3 - 0\/2. Suppose g*y = -0*y. Let p(s) = -1 + 2 + y*s**2 - s**2. Let h(w) = w**3 - 9*w**2 + w + 9. What is -2*h(o) + 18*p(o)?\nAnswer: -2*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94 - 92. Suppose 5*c - c + i = 78, -3*c + 56 = j*i. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = t + t + 172, 521 = 3*p - t. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = -b + d, -3*d + 13 = -5*b. Calculate the common denominator of 3\/(9\/(-12)) + 172\/30 and (1 - (-194)\/10)\/b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(4\/(-3)))\/(3\/2). Let u(s) = 8 - 72*s - 4*s**2 + 68*s + 5*s**h. What are the prime factors of u(-8)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13996850090 to the nearest one million.\nAnswer: 13997000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 5*n**4\/4 - 2*n**3\/3 - 3*n**2\/2 - 2*n - 2. Is o(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + -0.9. Let f = 0.6 - o. Let g = 1.7017 - f. Round g to four decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 298 + -209. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -233544 greater than -233542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*t - 1372 = -89*t - 44 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 2. Let t be y(2). Calculate the least common multiple of 6\/t*10\/(-3) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hodpnnn. Give prob of picking 1 h and 1 n.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w - 5 = -3*w + 2. Suppose 0 = -l + 3*s - 8, l = -s - 0*s + 8. Sort -4, l, w in decreasing order.\nAnswer: l, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (29 - -10 - 56) + 11 - -53\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-7\/2)*i*i**(4\/11)*i**(-3\/8)*i**(-3\/7)\/i*i*((i*i*i**(-12)*i*i)\/i*i**7)**(-22) assuming i is positive.\nAnswer: i**(25909\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 14*q - 3 + 29 in the form a + l*q and give a.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 518 divide 198182162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 40*k**2 + 40*k + 42. Let f be v(-39). Sort -4, f, -12 in descending order.\nAnswer: f, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 19*u**4\/4 + 2*u**3\/3 + u**2\/2 - 22*u. What are the prime factors of b(-2)?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2. Let k(f) = -3*f - 1. Let l(h) = 2*h + 1. Let a(o) = k(o) + 6*l(o). Calculate v(a(i)).\nAnswer: -162*i**2 - 180*i - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -131*i - 304*i - 370*i - 93*i as m + v*i and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*u*w**2 - 14225*u*w - 17*u - 64724624*w**2 wrt u?\nAnswer: 3*w**2 - 14225*w - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from vlvrvyywlvlvvvwl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2071491934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 76\/2043?\nAnswer: 76\/2043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n - 28 = 4*f, -17 = 4*n + 5*f. Let l = 0 - -2. Factor 6*z**4 + z**n - l*z**3 + 0*z**4 - 5*z**2.\nAnswer: 2*z**2*(z - 1)*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 737 is divided by 44?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -0.228, 0.039, 20\/3?\nAnswer: -0.228","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -16*j - 29. Does 15 divide r(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 15064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 752 divided by -752.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 11*m. Let u(x) be the first derivative of 5*x**2\/2 - 81. What is u(f(p))?\nAnswer: 55*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of z**4\/4 - 2*z**3\/3 + z + 1. Let i be l(-1). Let g = 1.9 - 2. Which is the nearest to g? (a) i (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 11. Suppose 5*i + 4*u + 9 = h*i, 2*i + 5*u = -3. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**2 - l**2 - 2*l**2)*(-2*l + 3*l + 0*l) + l**2 + 0*l**3 + 0*l**2 + l**3 to u*l + s*l**3 + c*l**2 + k and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-222)\/41 + 0). Let k = t + 2\/111. What is the second biggest value in k, 1\/3, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61152 by 294.\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*-3 + (10 - 9) - -7. Suppose j - 1 = 5*k, 4*k = 2*k + 2*j - 2. Solve 0 = -q*x - k*x + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - ((0 + sqrt(99) - sqrt(99)) + -5))*2 + -2)**2.\nAnswer: 96*sqrt(11) + 460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5784530 - 5784530 + 5291*u**3 + u - u**3 - u + (-u**2 + 6*u**2 - 3*u**2)*(-u + 2*u - 2*u) + 3 + 2*u**3 - 3.\nAnswer: 5290*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*m - 460*m + 149*m = -4068 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 33*r**2 - 37*r - 96. Determine b(-34).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10072, -1, 5, -3 in descending order.\nAnswer: 10072, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17700 - -17755.124. What is y rounded to 1 decimal place?\nAnswer: 55.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 + 0*k**2 + 0*k**2 + (-6*k + 3*k + k)*(-2*k + 2*k - 2*k) + 6253*k**2 + 1717*k**2 - 284*k**2.\nAnswer: 7689*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - x**2 + x. Calculate w(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*b + 26 = -13, 5*p + 3*b = 48. Let c = p - 8. Suppose 5*m - c = 4*v + 10, -3*v = 4*m - 15. Solve 2*g + 9 = -v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/(-2)*(78\/(-156))\/(1\/(-4))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + 1*(sqrt(70) + sqrt(70) + (sqrt(70) - sqrt(70)*4)) - sqrt(70) - sqrt(70))\/sqrt(5))\/(-5*sqrt(7)*-1 - sqrt(21)\/(sqrt(3)*2)).\nAnswer: -4*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 719*o**4\/2 + 10*o**3\/3 + o**2\/2 - 7*o - 7349. Find the third derivative of a(i) wrt i.\nAnswer: 8628","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (0 - (6 - -17)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 2:14 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 290\/231 - 9\/7. Is v != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6374651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26670\/27432 + 4\/144)\/(2\/102).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 972.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 5. Let n(f) = 3*f + 14. Let m(z) = -5*z + 33. Let u be m(10). Give u*b(x) - 6*n(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 11*i + 16. Let p be m(12). Solve 48*g**p + 44*g - 53*g**2 + 9*g**2 - 44*g**3 + 4*g**2 - 8 = 0.\nAnswer: -1, 1\/4, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 33?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -26*v - 4. Is 6 a factor of n(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 + -35. Suppose -u + a + 24 = 0. Let v be -1*(1 - -1) - -8. Calculate the greatest common factor of v and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5735718 + -5735721.229841. Let m = v - -3.23. What is m rounded to five decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(684) + -2)*5 - -3*(sqrt(684) + sqrt(684) + 1))**2.\nAnswer: -924*sqrt(19) + 82811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-73)\/(-15) + 0 + (-4)\/(-30). Let p be -53*((-1)\/d + (-279)\/155). Is p bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-84))\/(18\/(-14))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/7 + (-4)\/14. Let y = s + 0. Factor y*k**2 + k**2 + k**2 + 2*k - 2 - 2*k**3.\nAnswer: -2*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m + 2*m + 23194 - 23194 + 732*m**2 to the form h*m**2 + f*m + z and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.17 + -35.33. Let m = 40 + k. Let y = 4 - m. Which is the third biggest value? (a) -0.4 (b) 11 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*m + 8*m + 3 = 0, -4*m - 9 = -3*n. Suppose -2 = d - 3*d + 3*u, n*d - 14 = -u. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(1\/5)*j**0*j*(j*(j*j*j\/(j**(1\/3)\/j))\/j)\/(j**(2\/7)*j) assuming j is positive.\nAnswer: j**(439\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*a + 2*a - 6*a - a + a + 5*a + (a - 4*a + 2*a)*(0 + 12 - 2) as u*a + h and give u.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 4. Let k = a - -14. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 4*u - 1. Let x be n(3). Let l(j) be the second derivative of j**3 - j**2\/2 + 7*j + 3. Calculate l(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15106525?\nAnswer: 5, 7, 86323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1527 (base 11) to base 10.\nAnswer: 1965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 3:49 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 1413?\nAnswer: 2826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.687\nAnswer: 0.0687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 444251819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 38 + (-10368)\/272 - ((-1)\/(-51))\/((-5)\/(-3370))\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*r = -5 - 24, 3*o - 2*r = -21. Let q(t) = t + 11. Let l be q(o). Let b be (-2)\/(2\/2)*(-93)\/l. What is the greatest common factor of 155 and b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + ((-16)\/4)\/1. Calculate the remainder when 207 is divided by (0 - y)*156\/6.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine quarters of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 361056 and 192.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 15*u - 37 + 105 - 37.\nAnswer: -15*u - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71.000047 - -71. Round k to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 - 0.1. Let g = m + 0.0799967. What is g rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 37*c**3 + c. Let v be s(1). Let t be 6*(((-14)\/(-4))\/1 + -3). Let q = v - t. Calculate the remainder when q is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -17*h**2 + 8*h - 5. Let t = 1035 + -1024. Let y(s) be the second derivative of 1\/2*s**3 + 0 - t*s - s**2 - 1\/2*s**4. Calculate -4*f(o) + 11*y(o).\nAnswer: 2*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -79241 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -233*a**2 + 3467*a + 448. What is f(15)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6d6b7 - -40?\nAnswer: 6d6f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38787 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -399823 or -399824?\nAnswer: -399824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-48)\/(-15607352)) - (-9)\/(-54) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11\/(286\/4) - ((-20391)\/39 + -5) is divided by 94?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**4\/t**(-2\/5)*t\/(t\/(t*(t\/(t**(6\/7)*t)*t)\/t))*t*t**5 assuming t is positive.\nAnswer: t**(369\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*l + 2844 = -222*l. List the prime factors of l.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -65.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10.07943 times -0.61\nAnswer: 6.1484523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 161 and 350?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((2 - 5) + 5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 1, 5 in ascending order.\nAnswer: -5, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/17, 57, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + n**2 + n + 20. Suppose -3 = -0*b + 4*b + 3*s, -2*b - 3 = 3*s. What is the remainder when 2*(7\/(-70) + 1564\/40) is divided by i(b)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4199288446?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -180 + 375. What is the remainder when d is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/366*8\/(-6). Let k = i + -256\/183. Let a = -2\/55 + -47\/220. Put k, 0, a in ascending order.\nAnswer: k, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 13 + -10 + 96 + 1 + -181 + 169\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1821481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1514712 (base 8) to base 11.\nAnswer: -276010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8940, -18173, -27406, -36639?\nAnswer: -45872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-3))\/((-72)\/54). What is the nearest to 3 in d, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5781100 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - 4*u**2 + 3*u**2 + (-u + 1 - 1)*(1 - 1 - u))*(-13 + 11 - 8)*(-u + 0*u - u).\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -7*m + 40. Suppose -276 = -f + 4*k + 58, 0 = 4*f + m*k - 1396. List the prime factors of f.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, 3\/2, 1\/3, 374?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4305 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00390974598 to 5 decimal places.\nAnswer: 0.00391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -917 + 914. Which is the closest to -1\/2? (a) l (b) 1\/10 (c) 5\/2 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 9*r - 9. Let n be k(-7). Solve 0 = -2*d + 5*u - 12, 2*d + n*u - 6 = -2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*o + 35*o + 23*o = -10*o - 861 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100022221 (base 3) in base 5?\nAnswer: 204202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 - f + 101. Let m be q(0). Let c = m + 93. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 1, -0.4, -13, 13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(360) + sqrt(360)*2)\/sqrt(8) + sqrt(45))\/sqrt(9) + 0 + (sqrt(320) - -1*sqrt(320))**2.\nAnswer: 4*sqrt(5) + 1281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 3. Let a be y(-3). Let w be 2 - (a + (-4)\/2). Suppose 8*o = w*o + 44. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 3*w = -8*r + 29 - 32, 39 = 10*w + 3*w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a factor of 45996484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327 a factor of 23606467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.32 - 17.68. Let a = 20.455 + -2.5. Let p = q + a. What is p rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13112003321 (base 4) to base 15.\nAnswer: 28072e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 - 7*u + 4. Let x(o) = 3*o**2 - 8*o + 5. Let n = -210 + 215. Give n*i(b) - 4*x(b).\nAnswer: -2*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 22 = 3*i + 2*w, w = i - 1. Let n be i + 1 - -4 - 10\/6. Which is bigger: n or 0.056?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -6. What is the smallest common multiple of 0 + l - (3 + -4) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 3*f**2\/2 + 28*f + 21. Let j be s(-7). Suppose j*a + 2352 = 19*a. What is the smallest common multiple of 2 and a?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -17) + (100 - 98) + (-3 - 7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 3*i**4\/4 + 2*i + 23. Find the first derivative of f(w) wrt w.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/(4\/(-4) - -3). Which is bigger: l or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 28 = 18. Solve 2*k - c = -1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5834 + 29412\/5. Let r = -1831\/40 + w. What is the common denominator of -31\/14 and r?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 540 + 6\/5*d**3 - 168\/5*d**2 + 198*d = 0. Calculate d.\nAnswer: -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99311 and 188.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 209493*a**5 + 62408*a.\nAnswer: 4189860*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32606987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1625 + -46342?\nAnswer: -44414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1031135131 rounded to the nearest 1000000?\nAnswer: -1031000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -14*g**2 - 336*g - 4. Give f(-24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47127.51 centuries to years.\nAnswer: 4712751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2)*-3*24895\/(-1915).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -200010122221001?\nAnswer: -200010122220222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/408 and 23\/151402.\nAnswer: 1816824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 19 = 2*p, 5*i + p - 17 - 23 = 0. Suppose 15*v + 2*c + 3716 = 17*v, -i = 3*c. What are the prime factors of v?\nAnswer: 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/((-240)\/126)*(-12)\/(-18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4198\/23 - 54620\/299. Let j = -3.7 + 0.7. What is the second biggest value in j, r, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = u, 0 = -2*y - 5*u + 40. What is the least common multiple of y and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*c - 278 = 55*c + 198. Solve 0 = 70*g - c*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -289 + 4?\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -15\/2*y**2 + 0 + 13\/10*y**6 - 59*y + 1\/6*y**3 + 0*y**5 + 0*y**4. Find the second derivative of c(m) wrt m.\nAnswer: 468*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/6*(1 + 452\/(-8)). Is 5\/15*0 - h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 divided by 766103?\nAnswer: -47\/766103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/3634 and -109\/55932?\nAnswer: 1286436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -196*c**2 - 32*c**2 - 658*c**3 - 144*c**2 wrt c?\nAnswer: -3948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41.05 - -41. Which is bigger: q or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-2 - -4) - (-5 - 0). Let l be 90\/(-25)*((-520)\/b)\/4. Is 5 + 10\/(-5) + l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 14*y - 46. Let v(z) = -74*z + 84. Let a be v(1). What is f(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34178\/14 - 4\/(-154)*-11 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4*z + 6 = 3*t, 3*z = 2*t + 13. Suppose -5*w + 2*w - x + 18 = 0, 3*x = w + 4. Sort 0, w, t in descending order.\nAnswer: w, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 493, 974, 1455?\nAnswer: 1936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**4 - 165*u**3 + 32445*u**2 - 461275*u + 429000 = 0. What is u?\nAnswer: -104, 1, 15, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14985*j**6 + j**2 + 1069.\nAnswer: -1798200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -24433 and 0.2855.\nAnswer: -24432.7145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 0.1, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4975366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*(g\/g**17)\/g*g*g\/(g*g**(-1\/6)\/g) assuming g is positive.\nAnswer: g**(-83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5800756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93070, -93049, -93012, -92959?\nAnswer: -92890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18.31 + 18. Let q = -2286 + 2285.744. Let f = c - q. What is f rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -137314 and 40?\nAnswer: -5492560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 2 = 2*n, 3*k + 10123*n = 10128*n - 7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5, -8, 1, 28, 79?\n\"Answer: j**3 - 10*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 27\/6*(-2)\/(-3). Let v(t) be the third derivative of 0*t**d + 0*t - 5\/24*t**4 + 0 - t**2. Let l(w) = 3*w**2. Calculate l(v(r)).\nAnswer: 75*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -497\/32138?\nAnswer: -497\/32138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 466*y**3 + 2*y**2 + 4*y - 7. Is w(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-22) - (-7658)\/(-231))*-3. What is n rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**5\/45 - 37*l**4\/18 + 76*l**3\/9 - 38*l**2. Factor x(f).\nAnswer: -4*(f - 1)*(f + 38)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -575*u - 167283 = -4891*u + 104625 for u.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*j**2 + 57*j**2 + 22989*j - 22989*j - 28*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 3\/20*v**5 + 0*v**2 + 0*v**3 - 1\/6*v**4 + 0 + 2*v. Find the third derivative of p(o) wrt o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 653\/304 + 72\/19. Calculate the common denominator of h and -65\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h*h*h**(-3)*h*h)\/h)\/h)\/h)\/(h**(-8)\/h*h) assuming h is positive.\nAnswer: h**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 227, 330, 489, 698, 951?\n\"Answer: -o**3 + 34*o**2 + 8*o + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 2*d**2 + 3*d - 2. Let h be n(3). Let y be h*(2 - 34\/16). Suppose -p + 3*m - 2*m = 4, -20 = 4*p - 5*m. Which is bigger: y or p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 14 = -2. Calculate the common denominator of 31\/12 and 2 - (558\/(-4))\/a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*s**4 - 32*s**4 - s**2 - 44*s**4 + 2*s + 2*s**2 + s**3 to the form w*s**3 + d + g*s + i*s**2 + m*s**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 17*h - 79. Determine w(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4833768 divided by 6?\nAnswer: -805628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6991 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 127781*j - 258926*j + 123003*j as k + o*j and give o.\nAnswer: -8142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5888.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/2467 + -2465\/4934. What is the second biggest value in 2, 1, -1\/327, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.32 - 21.32. Let m = b - -20.8. What is the second smallest value in m, 0.1, -2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 10*a**3\/39 + 242*a**2\/13 + 192*a\/13 - 56. Find s, given that m(s) = 0.\nAnswer: -48, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(7\/5))**(2\/61)\/((y**(3\/7)\/y)\/(y\/(y*y**(6\/11)))) assuming y is positive.\nAnswer: y**(1688\/23485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/935913 and -4\/2807739.\nAnswer: 2807739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*f + 1 - 3, -4*m - 20 = 0. Suppose 4*u = f*z - 44, 4*z = u + 2*u + 39. Let t = z - -41. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2*o - 1, 3*k + 3*o - 2 = k. Let d = 32 - 33.3. Let z = -1.4 - d. Which is the second smallest value? (a) k (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cphcrrpcppcchppppc. Give prob of sequence rh.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -76*z - 20. Let m be u(3). Let x = 423 + m. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 21 = -j, 8*i = 3*i - j + 48. Let g be (-15)\/40*2\/i. Which is bigger: -0.1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 8*a + 17. What is h(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -21 + 19 + 2 + 1. Let b be (-3)\/5 + d - (-1176)\/(-3465). What is the second biggest value in 1\/11, b, 6?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62.56 * -3.\nAnswer: 187.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14924726 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5662 - 583. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 169 divided by 37\nAnswer: 169\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/560 and 61\/4200.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.7 and -1.1.\nAnswer: -2.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -3*m - 3*t - 38, -3*t = 12. Let s be (-24)\/m + 2\/5. Suppose d + s = 4. Let o(z) = z - 2. Give o(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26597007?\nAnswer: 3, 2955223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 5, -5332, -357?\nAnswer: -357","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2\/5))\/(g\/g**(-2\/19)*g))\/(g**(-1\/5)\/(g\/(g**4*g*g)))*((g**(-1\/4))**(4\/3))**44 assuming g is positive.\nAnswer: g**(-5977\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10*(-7)\/(-14)*1. Let v be ((-90)\/40)\/(3\/8). What is the biggest value in 0, k, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -849 take away 0.754?\nAnswer: -849.754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -225268666919.\nAnswer: -225268666914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 161, 165, 97, -49, -279?\n\"Answer: -z**3 - 30*z**2 + 101*z + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + 0.4. Let c = -6 - 1. Let f = 7 + c. Put -3, j, f in descending order.\nAnswer: j, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3729 + -3.6196. Let p = 4 + z. Round p to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246*f + 242*f = x - 791300, x - 791300 = f. Round x to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g - 1. Suppose 4*v = -2*c + 12, -5*c - 2*v + 12 = -c. Let p be (-2 - -4 - c)\/(-3). What is m(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(35\/(-15))\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 14 + 50. Let l = -194 - -194. Let g be l*(-1)\/(-2)*-1. Solve 0 = 4*u + n - g for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - 124 + 106 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - u + 13 = 0, 4*k + 10*u - 56 = -16*u + 21*u for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 3:45 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-21070)\/397320)\/((-252)\/44)\nAnswer: 1\/108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - 6*sqrt(102)*-4) + sqrt(102))\/(sqrt(72)\/sqrt(300)).\nAnswer: 130*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-252)\/189)\/((-8)\/(-42))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*o + 30. Suppose p - o = -p. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2528 - 7847 = -9*g. Suppose 0 = 29*m - 25*m - 396. What is the remainder when g is divided by m?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/44 - ((-13)\/(-44))\/(49\/(-196)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 103 (base 5) to base 12\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 j when two letters picked without replacement from {i: 2, y: 7, j: 2}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)*-2*5)\/(sqrt(1440) - (sqrt(1440) - (2*sqrt(1440) - sqrt(1440)))))**2.\nAnswer: 425\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 2:29 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 - 1185*m - 55350.\nAnswer: (m - 1230)*(m + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/(-6))\/((-12)\/(-8)). Let z = 1 + v. Sort -5, -7, z in decreasing order.\nAnswer: z, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + i - 2. Let y be x(0). Let g be 2\/y*1 - 2. Let k be -2 - g - (0 - 1). Solve -k*q + 2 = 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence owww when four letters picked without replacement from {o: 4, w: 5, n: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*r = -492*r + 263020 - 39433. What is the remainder when r is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zszsslzzslzslzl. What is prob of sequence lzss?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 divided by -55?\nAnswer: -72\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2971729 = -u - 611732, -2*w - 4*u = -2359988. Round w to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**5 - 3*s**5 + s**5 + (-4*s - 20*s + s)*(-s + 3*s + 0*s)*(-2*s**2 + 3*s**2 + s**2)*(-s - 4*s + 3*s).\nAnswer: 186*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37818, 37836, 37864, 37902?\nAnswer: 37950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*a = -465, 13*b + 453 = 14*b - a. Let u = b + -438. What is the highest common factor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179025244 to the power of 1\/4, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36 + -2?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387*l - 358*l + 174 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + -1 + 7 + -2. Suppose -2*g + 27 = -j + 4*j, 3*g = -w*j + 41. Is 3\/15 + 267\/g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = l + 5*v, 4*l - 7*l + v = 0. List the prime factors of 1*(-2 + l)*(122 + -567).\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + f = -1, -v + 2*f = 3 - 5. Let r(u) be the second derivative of v + 3\/2*u**2 - 3*u - 1\/3*u**3. Differentiate r(a) with respect to a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/(-20))\/(2\/(-120)). Let d(b) = -15 + 8*b - 31 + h. Let x be d(14). Calculate the highest common factor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636814.4nm in kilometers?\nAnswer: 0.0000006368144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 63*2\/4*58\/3. Let z = n - 336. Is 13 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + 8*(1 + -2). Let g be 11\/(-4) - -6 - 3\/p. Solve -2*r + 2 = -7*c + 3*c, 0 = -g*r - 4*c + 28 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**2 - 5*x**3 + 5*x**3 - 2*x**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 0.2, 0.3 in decreasing order.\nAnswer: 3\/5, 0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**13)**(2\/21)\/(o**9)**(-3\/22) assuming o is positive.\nAnswer: o**(1139\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11.795*128\nAnswer: 1509.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0501*-0.4.\nAnswer: -0.02004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3580289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -1. Let s(a) = 22*a**3 + 14. Let t(l) = 7*l**3 + 5. Let m(g) = -6*s(g) + 17*t(g). What is the units digit of m(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387468398 + -11?\nAnswer: 387468387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -32*a - 5*n + 34, 0 = -3*a + 3*n - 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45476823*u**3 - 597*u**2 - 23717 wrt u.\nAnswer: -272860938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 99 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -93269225 at most -93269225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 6197 - 1679. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1740, 2107, 2474, 2841?\nAnswer: 3208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 274 divided by -614096.\nAnswer: -137\/307048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*f - 1)*(2*f + 0*f + f)*(4*f**2 - 3*f**2 - 3*f**2 - 2*f**2 + 2*f**2 + 2*f**2 + (7 - 3 - 3)*(f**2 - 2 + 2) - 3*f - 2*f**2 + 3*f).\nAnswer: 9*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-34 - (-8 - 29 - -18)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20210\/1271413 + -1\/6799. Let k = f + -5297\/7854. Let i = 5\/14 + k. What is the third smallest value in -5\/4, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 - 17 - (-6 + (-24 + 16 - -31))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -416105 - a**2 + 416103 + 1110*a + 2*a**2 + a**2 - 1110*a**3 = 0. What is a?\nAnswer: -1, 1\/555, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001108 rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by -11917864.\nAnswer: 11\/5958932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 162*a**5 + 32868*a**4 - 39046*a**3 - 473184*a**2 + 277992*a + 1777248 = 0.\nAnswer: -204, -22\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**3 + 9*j**2 - 19*j - 13. Determine a(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/((sqrt(99)*2)\/sqrt(11) - sqrt(9)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-4*(-1)\/4). Suppose -702 + 717 = -3*m. Sort -4, o, m in descending order.\nAnswer: o, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -307.4785?\nAnswer: 309.4785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-72)\/(-32) - 2\/8. What is the second derivative of w**z + w + w - w wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**2 - 2332328*p - 11661740 = 0?\nAnswer: -5, 583087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*l = 3*q + 236*l + 6332, 5*q + 3*l + 10592 = 0. Which is smaller: q or -2115?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 3:50 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkwkggnkssskk. Give prob of sequence swnk.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2048 + -2048.35. Put -4, 0.4, -2, o in descending order.\nAnswer: 0.4, o, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*k - 3*u + 5, 3*k + 4*u + 3 = 0. Put -3, k, 0, 8 in ascending order.\nAnswer: -3, 0, k, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/5 - -5) + (2475\/(-36))\/11. Is -1543 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 219.6975kg?\nAnswer: 219697500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - n = 6. Suppose -4*i + 16 = 2*s, 2*s - 4*i = 17 + 7. Let b be 2610\/25 - n\/s. What is the highest common divisor of b and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -11*h - 32. Calculate n(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/7 (b) -0.3 (c) -189\/8 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*y**4 - 255023*y**3 + 7*y**2 - 250*y - 194?\nAnswer: 48*y - 1530138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -16*t + 52. Let k(z) = z + 1. Let q(g) = 5*k(g) - n(g). What is the tens digit of q(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*f - f**4 - 2 - 8*f - 9*f**2 - 5*f**3 - 9*f.\nAnswer: -(f + 1)**3*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9397 - -12583. What is the smallest common multiple of b and 3540?\nAnswer: 31860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 14*v - 12. Suppose -2*k = -v*c - c - 39, 4*k = -3*c + 69. Suppose 14 = 16*x - k. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -447 + 451. Let d(u) be the second derivative of 1\/42*u**7 + 1\/2*u**2 - 1\/2*u**3 + 8*u - 1\/10*u**6 + 1\/10*u**5 + 0 + 1\/6*u**j. Factor d(c).\nAnswer: (c - 1)**4*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2051 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/21751 + 304532\/195759. Let l be (-100)\/(-42) - (-2)\/7. Suppose -4\/9 + 2\/3*w + l*w**2 + s*w**3 = 0. Calculate w.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 6. Let q be u(7). Suppose 0 = 8*f - 1227 + 1211. Sort 5, q, f in increasing order.\nAnswer: q, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 2*i**7\/21 + 4*i**6\/15 - 8*i**5\/5 - 16*i**4\/3 + 32*i**3\/3 + 64*i**2 - i. Suppose v(g) = 0. What is g?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -1 - (-4 - -7)) + 1 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 42. Let v be y(-37). Let q be v + 6\/10 + (-69)\/115. Factor 3\/2*m**2 + 6*m**q - 21\/2*m**4 + 0 + 3*m**3 + 0*m.\nAnswer: 3*m**2*(m - 1)**2*(4*m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 295196, 295245, 295306, 295385, 295488, 295621?\n\"Answer: v**3 + 42*v + 295153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.003 and 247.\nAnswer: -0.741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y - 19. Let t be u(6). Let n = t + 93. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -1205617*r**2. Let b(n) = -n**2. Calculate p(b(s)).\nAnswer: -1205617*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, n: 1, z: 1, l: 1, j: 1}. Give prob of sequence lzn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9732)\/(-484978)*(-23)\/3.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**7\/1260 + k**6\/360 + k**4\/4 - 2*k**2. Let u(i) be the second derivative of o(i). Determine l, given that u(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 17\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 150 + -1214?\nAnswer: -1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -7*b**2. Let l be q(-1). Let a(c) = 4*c + 10. Let n be a(l). Let u be (6\/(-9))\/(4\/n). Solve 0*m = 4*g - 2*m + 8, -m = -u*g - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 8*l - 4. What is the remainder when 20 is divided by n(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*a, 96*x + 3*a - 71967 = 94*x. Is 167 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - v + 4)*(3*v - v - v) + 3*v**2 + 2*v**2 - 6*v**2 - 79*v**2 - 13*v**2 - 10*v**2 + 4*v + 3 + v**2 - 4*v.\nAnswer: -103*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 25\/(-9) - (-18)\/(-81). Sort 3, g, 4, -10 in increasing order.\nAnswer: -10, g, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 2070.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, r: 3, w: 1, y: 6, q: 2, z: 4}. Give prob of sequence xyw.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 55*y + 10388. What is the highest common divisor of y and 16960?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6457553?\nAnswer: 6457553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 103 = 27*r - 98*r + 37, -2*r + 28 = -4*c + 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30\/11 + -207\/88. Let a = 426 + -422. What is the second biggest value in a, v, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58563.9812 rounded to the nearest 10?\nAnswer: -58560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u - 14 - 143 = 5*t, 168 = 3*u - 2*t + 3*t - 5*t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, d: 4}. What is prob of picking 2 m and 2 d?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -2482\nAnswer: -2482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(30)\/sqrt(40) - sqrt(6)\/sqrt(2)*-2*6)**2.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3458111 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/9 - 280*o\/3 - 842\/9.\nAnswer: 2*(o - 421)*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zynezdny. Give prob of sequence enyd.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 14*i = -20. Put -2\/5, i, 4 in decreasing order.\nAnswer: i, 4, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.014488? (a) 0.5 (b) 0 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1319*i + 2593*i - 1340*i + 5412 = 0 for i.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 12. Let i = o - 24. Which is the biggest value? (a) i (b) -2\/3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - q = -19, 3*q + q + 29 = 5*t. Let w = -1211\/34 - -8545\/238. What is the second biggest value in -4, t, w, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -2\/7 (c) -3 (d) 2\/13 (e) -83812\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yygg when four letters picked without replacement from ygyygyggyyyyggyyyy?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x**3 - 21*x - 31. Let p(t) = -5*t**3 + 18*t + 31. Give 6*h(f) + 7*p(f).\nAnswer: -5*f**3 + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 146868 = -4*g + 146891, 0 = -2*j + g + 30 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5 + 7*a - 2 + a**2 - 7*a. Is k(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-1 - (-8 - -1))) + -8?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92327979?\nAnswer: 3, 59, 359, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 4*a - 264 + 64, -4*h + 2*a = -400. Put 0.05, -4, h in ascending order.\nAnswer: -4, 0.05, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-72)\/(-10) + 20\/25. Find the second derivative of 190*r**2 - d*r - 19*r**5 - 190*r**2 wrt r.\nAnswer: -380*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 5:43 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3*-892342\nAnswer: 2677026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y. Let c(f) be the third derivative of f**5\/30 - f**2. Calculate c(a(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a kilogram in grams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/7, 289.81, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.83211 - 10.8093. Let g = 342.02 - 347. Let p = i - g. Round p to four decimal places.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/15*s**4 + 2\/3 + 28\/15*s + 8\/5*s**2 + 4\/15*s**3 = 0. Calculate s.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-25)\/45)\/((-30)\/(-18)))\/(10\/(-2))\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (141\/19881*47)\/((2\/6)\/(-1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + 5*(sqrt(162) + -1) + 0).\nAnswer: -5 + 225*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 70551477 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*a + 14*g - 412 + 47 = -117*a + 395, 34*a = -4*g + 288 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 847066 to the power of 1\/2, to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1\/11)\/((-1)\/(-27)) and 41\/(-8) - (0 - 1).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -36 (c) 2 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-3 + 6 - 3) + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**2 + 330*w - 128313 = 0. What is w?\nAnswer: -269, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -9981*u**2 + 10*u - 7957. Let t(d) = -64876*d**2 + 64*d - 51716. Let j(b) = 5*t(b) - 32*w(b). Differentiate j(g) with respect to g.\nAnswer: -9976*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/162*190\/(-228)*18\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 16) in base 4?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, s: 6, a: 1, p: 2, m: 2, o: 4}. Give prob of picking 2 m.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 6, -0.2, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 4*s + 3 - 7, 0 = s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 52 = 4*r - 0*r, c - 37 = 4*r. List the prime factors of (r*2)\/(2 - 4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8410*g = 16776*g - 8535*g + 676 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f - 31*f - 1092 = -4*f + 28*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k + 109. Suppose 4*f - 156 = -4*a, a + 171 = 6*a - f. Let r be z(a). What is the greatest common factor of 78 and r?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 697919506 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8787220 is divided by 210?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 287842552, 287842555, 287842558, 287842561, 287842564, 287842567?\n\"Answer: 3*o + 287842549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z**2 + 3. Let t = 5811 + -5808. Let s(p) be the second derivative of 7*p**4\/12 + 2*p**2 + p. Calculate t*s(j) - 4*m(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n - 13*n - 19*n in the form t + b*n and give b.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 5. Let f be s(5). Suppose f*h - 3*h = -6. Solve -5*o = h*a - 22, 20 = 4*a + 2*o + 2*o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 + 73. Sort -25, z, 1, -1 in decreasing order.\nAnswer: 1, z, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = u - 2*u. Suppose 0 = u*c + 3 - 18. Let i(n) = -9*n**3 + 2*n**2 + 7*n. Let y(z) = z**2 + 0*z**3 + 0*z**2 + 3*z - 4*z**3. Give c*y(d) - 2*i(d).\nAnswer: -2*d**3 + d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37387 and 1199?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3034, 3498, 4190, 5224, 6714, 8774?\nAnswer: 11518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321*g - 5787621 = -3706916 + 4662221. What is the highest common factor of 108 and g?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 8*p**2 - 9*p - 7. Let y be j(-9). Let r(k) = k**2 + 7*k + 1. Let b be r(y). Find the common denominator of -7\/5 and (-204)\/(-96) - b*2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2. Suppose 42 + 43 = -g. Let y(m) = 225*m + 85. Let o(l) = -16*l - 6. Let i(x) = g*o(x) - 6*y(x). Give d(i(u)).\nAnswer: 100*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 + 3*o**3 - 4*o**2 - 60*o**4 + 56*o**4 + 3*o**2 - 1 as d*o**2 + n*o**4 + a + g*o**3 + s*o and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 15*c**3 - 10*c**2 + 2*c - 2. Let o(s) = 28*s**3 - 18*s**2 + 5*s - 4. Calculate 5*j(u) - 2*o(u).\nAnswer: 19*u**3 - 14*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(-z**3 + 4*z**3 - z**3) + (2*z**3 - 6*z**3 + 3*z**3)*(45 + 24 - 20).\nAnswer: -51*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 3 (b) 5 (c) 2\/13 (d) 1\/6 (e) 0.12 (f) 4 (g) -2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1170.7 + 1167.7. Let h = 24 - 14. Let v be 2\/h + 0 + 0. What is the smallest value in 0, c, -1\/5, v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 102\/(-24) + 9\/(-12). Let y be -1*1 + -3*4. Let r = 9 + y. Which is smaller: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 891 is divided by 111.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 2709971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409771 is divided by 91?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(153))**2*2 + (-6*(1 + sqrt(153)))**2 + -1.\nAnswer: 216*sqrt(17) + 10439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165118 is divided by 438.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + u - 3. Let m be z(-3). Suppose 0*k = 2*k - m*w - 8, 2*w + 7 = 3*k. Solve r - k = -0*b + 5*b, -2*r - 10 = 2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*v + 277 + 940 = 161 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 1816849.\nAnswer: 1816849.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*o**3 + 3*o**3 + 2*o**3)*(0 - 1 + 0)*(3*o - o - o) to the form s + a*o + y*o**3 + r*o**2 + v*o**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1929 - -1950. Solve -6 = 5*a - u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1916\/3 + -3)\/((-9)\/1485*-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5878*k*u*x + 17*k*u - k*x - 116*k + 10*u*x + 16*u - 2 wrt x.\nAnswer: 5878*k*u - k + 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 68162 or 68154?\nAnswer: 68162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 89598 + -89598.150039. Let y = b + 0.15. Round y to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 6*b = 2*f + 2, 0 = -3*f + 4*b + 11 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746329?\nAnswer: 746329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 343 + -23?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**6\/10 + 72*o**5\/5 - 47*o**4\/2 - 48*o**3 + 285*o**2\/2 - 564*o - 1. Factor l(h).\nAnswer: -3*(h - 95)*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 508\/(-85)) + 10 + -15. Is c equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302302123 (base 6) to base 8.\nAnswer: 23526203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 11*p**2 - 32*p - 34. Calculate i(13).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 8) + 4*9\/12. Let p be q*(-5 - -4 - (-3)\/(-15)). Suppose 4*d = -2*g + 24, 2*d = g - 2*d + 18. Solve -g*n - 20 = -p*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22806 and 15204.\nAnswer: 45612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1346154 and -23\/44?\nAnswer: 29615388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2472.41 and 31200113.\nAnswer: 31202585.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*((-c - 3*c + c)*(44*c - 19*c - 17*c) + (-2*c + 3*c + 0*c)*(-2*c + 4*c - 4*c)).\nAnswer: -52*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 18 = 24. Solve f + 6 = -2*a, 9*f - 13*f = -z*a - 16 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11124 and 17304?\nAnswer: 155736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 0. Solve q + 7 = -2*j, -a = 2*j - 5*q + 23 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-11))\/(-3)*242\/44?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165\/220*(-48)\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 3825 = -9087. Let z = j - 747. What is the highest common divisor of 40 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36957832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 130716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 972 = 4*c - 3*h, 4*c - 972 = -0*c - 3*h. What is the highest common divisor of 18 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (17 + (10 - 14))) + 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -288 by 1.\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2653? (a) -7 (b) -2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 13 = -11. Let o(a) = 5*a**2 + 6*a + 2. What is the least common multiple of o(s) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*o - h, 3*o + 5*h = 3*h - 28. Let b(j) = 4*j + 4. Let q(n) = 4. Let l(u) = 1. Let v(m) = -6*l(m) + q(m). What is o*v(s) - 2*b(s)?\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h\/h**1)))**20)**(-45) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*u - 3 = 2*u, -3*u + 3 = m. Suppose 5 = 3*b - 5*l + 17, -4*b + 4*l - 8 = 0. Let t = m - b. Solve -t - 1 = w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + v**2 - 1. Let b(k) = 4*k**3 - 3*k**2 - 3*k + 3. Let m = 2 - 1. Let u(r) = m*b(r) + 3*n(r). What is the second derivative of u(c) wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 275395739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1048 + 991. Let h be ((-4)\/(-2) - 2) + 2. What are the prime factors of b\/h*(-20)\/15?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 976720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 1 - 18)*(-1 - 2*h + 1) - 4 - h + 4.\nAnswer: 51*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 184*v - 342. Let o(m) = m. Calculate o(r(w)).\nAnswer: 184*w - 342","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -6, 12465, 1\/5, -9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -15*x - 275. Calculate o(-16).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o + 39. Calculate u(15).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224)\/(sqrt(28)\/sqrt(7)))\/((sqrt(80) + sqrt(80)*-3 + sqrt(80))\/sqrt(10)))**2*-6.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57838 by 22.\nAnswer: -2629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 8, -5 in descending order.\nAnswer: 8, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/1275 or 0?\nAnswer: 2\/1275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9087839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.461524 rounded to 1 dp?\nAnswer: -31.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**3 - 3*w**2 - 2*w + 4. Is i(2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.145*-0.25\nAnswer: -0.03625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -185944.1 to the nearest 100.\nAnswer: -185900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/248 and 3\/682.\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, 0.5, -0.11.\nAnswer: -0.11, 0.5, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22\/8 - 4\/(-16). Suppose 5*p = 2*f + m*p + 80, -f - p = 38. Let j = f - -48. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258 = -2*b + 2*u, 6 = 3*b + u - 393. Calculate the highest common factor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*n + 2*u + 3 = 180*n, 3*n - 18 = 5*u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1600361 and 1295.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 6\/4)\/((-2)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 6*s**2 + s - 1. Is o(-4) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -11. Let i(j) = 2*j**2 - 17*j + 15. Let w be i(y). Put -2, 3, w in descending order.\nAnswer: 3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2486*y + 22301. Give c(9).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 235196 * 23.\nAnswer: 5409508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12443313 - 82305 = -427*l. List the prime factors of l.\nAnswer: 2, 3, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + j**2 - 4*j - 8. Let w be t(-3). Let x be (-3)\/(-2) - (-20)\/w. Let b(q) = -7*q**2 + 9*q**x - 3*q**2 + 2*q + 8. Give b(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z - 157 = -137 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**2 - 88*q - 18. Is 9 a factor of j(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 2365566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -330\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*g**2 + 44*g**2 + 366*g**2 + 232*g**2 - 15*g**2 in the form x*g + q + l*g**2 and give l.\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2. Let y(u) = 3*u. Let z(b) = -4*c(b) + 2*y(b). Let i be z(6). Suppose 3*l - 3*m = 17 + i, -l = -5*m - 19. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011010100 + -1101010?\nAnswer: 101001101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-256)\/(-3))\/4)\/((-88)\/(-132)). Is (2\/3)\/(x\/1872) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 2 = 22 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -16 - (-142)\/9 - (-115456)\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 2270.\nAnswer: -2274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000777745 to 5 decimal places.\nAnswer: -0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1106 is divided by 849?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9728, 16763, 23798, 30833?\nAnswer: 37868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 12 = 3*j. Suppose 0 = -r - 21 + 77. Suppose -2*l + 4*o = -52, -5*o = -2*l - 0*o + r. Calculate the smallest common multiple of j and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/2 - 8809422*z.\nAnswer: 3*z*(z - 5872948)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 4. Let z be i(-7). Let s be (-3)\/(z - 9\/(-6)). Suppose -k + 2*m = -0*m - 2, 0 = k + 2*m - s. Solve -c + k = c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*x = 16*x + 330 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**2. Let y(v) = 6*v - 4. Let k(t) = 6*t - 3. Let p = -50 + 54. Let x(d) = p*k(d) - 3*y(d). What is s(x(q))?\nAnswer: 108*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 6*t**2 - 7*t + 4. Let s be q(7). Let f = 6 - s. Solve -f*i = -3*i - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86 and 16619027.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17073315*m**5 - 32*m + 18012 wrt m?\nAnswer: 341466300*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 1:12 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 1. Let w(o) = 4*o - 3. Let a = 272 - 270. Let b(g) = a*w(g) - 6*n(g). Give b(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 882, 1055, 1392, 1935, 2726, 3807?\nAnswer: 5220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + (-4 + 4*((sqrt(40)*2)\/sqrt(8) + sqrt(605)*1))*6)**2*-3.\nAnswer: -1461612 + 41184*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 93*z**2 - 1961*z + 552. Determine u(61).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-7))\/(-2) - 207\/315?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.08 + 0.24. Let d be 670\/3685 + 25\/44. What is the third smallest value in 1, q, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/((-52)\/390).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6234219 or 6234209?\nAnswer: 6234219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8115383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, 4, -3, 0, -6114, 5 in increasing order.\nAnswer: -6114, -60, -3, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195780 is divided by 1731?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -1\/30*g**6 + 1 + 0*g**2 + 1\/12*g**4 + 1\/20*g**5 - 1\/6*g**3 + 12*g. Let q(k) be the first derivative of i(k). Factor q(d).\nAnswer: -d*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -456.0000365 + 456. Round m to six decimal places.\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 3*z - 3*z + (2*z - z + z)*(1 - 3 + 1))*(3*z - 17*z + 0*z).\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -320 (base 5) to base 12\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1459845967 and 3.\nAnswer: 4379537901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32214088 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19591?\nAnswer: 11, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 4*l + 15. Suppose 4*x = b + 3*b - 1228, -2*x + 1500 = l*b. Suppose 0 = 5*g - 503 - b. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-200)*30\/4\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 5*f + 7. Suppose -3*h + 33 = a + 7, -3*a + 29 = 2*h. Let s be (2 - 1)*h\/1. What is the smallest common multiple of 27 and v(s)?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 21*h**2 + 3*h - 7. Let i be p(-21). Let b = -60 - i. Calculate the smallest common multiple of 28 and b.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 131545.011 + -131722. Round i to zero decimal places.\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.1758745 hours?\nAnswer: 633.1482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.59 - -9.3. Let y = -0.01 + q. Let b = -0.2 + y. What is the nearest to 2\/3 in -4, 0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 7660.483.\nAnswer: 2298.1449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2220022 - -30?\nAnswer: 2220112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/5 + 5654408*t\/5 - 3996541228808\/5.\nAnswer: -2*(t - 1413602)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bsbb when four letters picked without replacement from {b: 8, s: 3}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 10*t**2 + 9*t + 15. Let i be (-33)\/(-3) + -2 + 2. Let b be p(i). Is (158\/4)\/(b\/(-14)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**5 + 9*w. Let n(i) = -14*i**5 - 46*i. Let u(m) = 2*n(m) + 11*q(m). What is the second derivative of u(g) wrt g?\nAnswer: 100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**4\/12 - 7*g**3\/6 - g**2\/2 + 3*g. Suppose 2 = 3*b + 2*p, -5*p = b - 14 - 4. Let f be 2 - (4 - 4\/b). What is i(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 6*l - 204. Let m be (-68 + 2)\/(3\/l*-2). Differentiate 561*c**2 - m*c**2 - 1 - 9*c**4 wrt c.\nAnswer: -36*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + q - 2. Let t(j) = 2*j**3 - 7*j**2 - 3*j + 39. What is 3*i(f) + t(f)?\nAnswer: 2*f**3 - 10*f**2 + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d. Let n(u) = u. Let i = -4 + -2. Let s(q) = i*a(q) - 7*n(q). Let p(y) be the third derivative of -y**5\/30 + 2*y**2. What is p(s(j))?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 - 36*u + 2. Let l be q(-18). Let i(t) be the first derivative of 1\/2*t**l + 1\/3*t**3 - 2*t + 5. Suppose i(p) = 0. What is p?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.57 - 0.63. Let l = f + 5. Let b = 1.9 - 2. What is the nearest to 1 in b, 6\/11, l?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 0)*(-2)\/12. Solve -3*y + 3*i + 6 = a, i - 14 = -3*y - 0*i for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/18 and ((-7)\/(-5))\/((-4)\/84*3)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 3:02 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11819521 to the power of 1\/2, to the nearest integer?\nAnswer: 3438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101674 = 5*r - 100999 for r.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.35 + -0.35. Let r = -1.817 - x. Let n = r + 0.116941. Round n to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*l = 69 + 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, l: 1, v: 4, e: 7, p: 4}. What is prob of picking 3 p and 1 z?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f440 - e?\nAnswer: -1f44e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2))**(-31)*(n*n**(-1)*n*n*n)**(2\/59) assuming n is positive.\nAnswer: n**(3664\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 10*j = 8. Let f be ((-4)\/18 - 26\/(-117)) + j. Find the second derivative of 29*o**2 + 27*o**2 - 56*o**f + 10*o**4 + 32*o wrt o.\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**6\/144 + l**5\/120 + 5*l**4\/12 - l. Let m(y) be the third derivative of c(y). Let i(t) = 4*t + 1. Give 4*i(r) - 3*m(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00851 to 4 dps.\nAnswer: -0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/1*(-5)\/(-2). Let p(g) = 2*g**2 - 5*g. Let u(f) be the second derivative of -f**4\/12 + 2*f**3\/3 + 31*f. Give z*u(t) - 4*p(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15623135 - -21?\nAnswer: -15623114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 + 43. Suppose 9*h + 2*d = w*h + 24, -5*h + 10 = -5*d. Solve -2*s = -h*b - 2, -5*s + 5*b - 2*b = -5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 8*s - 13. Let o(j) = j**2 - 45*j. Determine a(o(f)).\nAnswer: 8*f**2 - 360*f - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) 3 (b) -14 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (276204\/16)\/((-300)\/(-160))*5\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1725.7 - -1738. Sort -3, -4, v, 0.2 in descending order.\nAnswer: v, 0.2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, l: 1, m: 1}. Give prob of sequence iml.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3353.14 rounded to the nearest one hundred?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19113462 is divided by 682623.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1875801*w**2*x + w**2 + 2239*w + 101 wrt x?\nAnswer: 1875801*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c - 407*c**5 - 58 + 10*c**4 - 10*c**4 wrt c?\nAnswer: -8140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -25.4 and -8.1?\nAnswer: 17.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/104 and -14\/39.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 13*g - 3788 + 3821 = 0. Let u(x) = x**2 - 4*x - 3. Let k(i) = 3*i**2 - 11*i - 8. Determine g*k(l) + 8*u(l).\nAnswer: -l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by 534\/10 - 3*16\/120?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2, -8 = -5*b - 3*w - 19. Let n be (b - 5)*5\/(-10). Solve 6*o - 3*k - 7 = 2*o, -o - 4*k - n = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 711 + -708. Let s be ((-99)\/(-6))\/(-11)*(-4)\/p. Solve 0 = -s*q + 5*x - 20, 5*q + x + 10 = -13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 5, -55 in increasing order.\nAnswer: -55, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -2.97. Let v = n - -0.09. Is v smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 503552132?\nAnswer: -503552132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 24484*r + 97957. Calculate m(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 0*m**2 - 4*m**2)*(4 - 6 + 3) + 3*m**2 + m**2 - 6*m**2 + (-3*m + m + 0*m)*(2*m + 1 - 1) + 4*m - 4*m - 2*m**2.\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 0 - 8*u**2 + 1\/12*u**3 + 1\/240*u**5 + 1\/32*u**4 + 0*u. Factor g(o).\nAnswer: (o + 1)*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 198 + ((-8)\/1 - -2). Suppose -6 = -195*d + c*d. Solve d*p - 18 = 4*u, 4*p - 2*u - 6 = 6*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6*x**2 + 34*x + 13. Let s be p(-6). Calculate the highest common divisor of 425 and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 19 (c) -3\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0*j + j + 1, 5*d + 2 = -2*j. Let t(q) = -2*q - 16. Let g be t(-12). Solve -3*r + 2 - 3 = 5*x, d = -2*x - 5*r - g for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 0 - 10 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 0. What is the remainder when 12 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 4 + -20 + 9 + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28616598.\nAnswer: 2, 3, 199, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 24 + 16. Suppose -5*m = -217 + 1832. Let j be f\/(-25) + m\/(-5). What is the greatest common factor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bylpjbx. What is prob of sequence ljxp?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35\/3 - 107\/9. Is 2 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15676 is divided by 1045?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -4*h - h. Let u = -10 + 20. Let c = u + h. Solve 2*w = -c*w - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/199 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -15*h**3 + 19*h**2 + 5*h + 121. What is the lowest common multiple of 66 and m(-7)?\nAnswer: 67782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + -19. Let w = 48 + x. Suppose -w + 1 = -4*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/38040 and -4\/45?\nAnswer: 114120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*x - 4*x - 3*x**2 + 2*x**2 to g + m*x + f*x**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 + 27*a + 45. Let w(b) = -5*b**2 - 55*b - 90. Let v(f) = -5*u(f) - 3*w(f). Factor v(h).\nAnswer: 5*(h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28653 or 1\/4?\nAnswer: -28653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-31347)\/15)\/(2\/(-5)) + (-3)\/6?\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaafaaaaaaaafaf. Give prob of picking 3 f and 1 a.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w + 82325 - 190772 = 73147. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 1 - 3. Let o be (5\/(-2))\/(1\/(-2)). Suppose -2*z - 2 = 2*r, 0*z - r - o = 3*z. Are h and z non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 5:05 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200107 and 2775981?\nAnswer: 1343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 166*w - 53 + 3*w - 80 + 82 in the form x + i*w and give x.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1125 in -0.4, 4\/7, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.7926 days in milliseconds?\nAnswer: 1191680640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2465 (base 7) to base 14.\nAnswer: 4a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(245) + 0 + (2*(sqrt(5) + 2))**2.\nAnswer: 36 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 542 + -688. Let g = r - -162. Let k(y) = y**3 + 3*y**2 - 3*y + 2. Let j be k(2). What is the highest common divisor of j and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -630 + 312 + 318 + 323*w**2. Let t(o) = -o**2. Determine t(m(u)).\nAnswer: -104329*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n - 54. Let s(z) = 1. Let d(w) = w**3 - 5*w**2 - 18*w - 46. Let u be d(8). Calculate u*j(p) + 108*s(p).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14117691 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595 is divided by 152.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, s: 9, j: 2}. Give prob of sequence js.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 235273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2595 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 1. Let k(o) = 14*o + 36. Let u(c) = k(c) + 10*p(c). Differentiate u(l) with respect to l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, i: 3}. What is prob of sequence si?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(6\/13))\/q**(-1\/8)*(q*q*q**(-9))**50 assuming q is positive.\nAnswer: q**(-36331\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 108*f**2 + 24*f - 4.\nAnswer: 4*(3*f + 1)*(9*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmmnrd. What is prob of sequence mmr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -266 - -159. Let p = 124 + c. What is the remainder when 33 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(143)\/(sqrt(44)\/sqrt(4)).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2758490567 to the power of 1\/5, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + d - 4. Let z be o(-3). Let c = -829 - -847. Let q = c - z. What is the greatest common factor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzue when four letters picked without replacement from aahuppuzzeuhuaehhp?\nAnswer: 2\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 35, 15, -1, -13, -21, -25, -25?\n\"Answer: 2*f**2 - 26*f + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 80, 324, 728, 1292?\n\"Answer: 80*l**2 + 4*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 13.3095?\nAnswer: 13.1095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 381623937*q**4 + 234407805.\nAnswer: 1526495748*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12030 + -4?\nAnswer: -12034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -57, -244, -571, -1050, -1693, -2512, -3519, -4726?\n\"Answer: -2*j**3 - 58*j**2 + j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 30\/36)\/((-45)\/(-27)). What is the nearest to k in 5, -33, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97 - 97. Let z(w) = -w**3 + 4*w**2 + w - 5. Let q be z(4). Which is the smallest value? (a) n (b) 0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2*(-16 - -1))\/2 + -5. Let y = -41 - -41. Solve y = -2*x + w - 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * 4.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 7:41 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**4*(n**(-6)\/n)\/n*n**(-1\/3)\/n**(1\/3))**(-19))**(-33) assuming n is positive.\nAnswer: n**(-2926)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 73819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*n + 2*n + 17*n + (3 + 0 - 4)*(1 - 2 + 7)*(n - 2*n + 0*n).\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 153\/17 - (-236)\/(-24)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*n + 7615 - 487. Does 36 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3\/2 + 20861*r**2\/2 - 375255*r\/2 + 1688283\/2 = 0. What is r?\nAnswer: 9, 20843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = 12*q - 42 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-1514\nAnswer: -1514.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11047176 - 11047176 - 2*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/8)\/(34041\/11346 - 3). Suppose 14*w = p + 4619. What is the greatest common divisor of w and 372?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-90029)\/(-3199) - (-4 + 33)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*r**2 + 5 - 9*r**2 + 44*r**2 - 7.\nAnswer: 49*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 6:48 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**3 + 44*r**2 - 12*r + 89. Determine j(-23).\nAnswer: -693","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-2) - (-9)\/18 - -2. Solve a = p*a - 5*i - 14, -3*i - 6 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25848963?\nAnswer: 3, 7, 45589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in 6, 27, -31\/6, -2\/5?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-1) + 291\/294. Let s = -27\/98 + g. Let h = -108 + 107. Which is the nearest to s? (a) h (b) -4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 + 10*j**2 - 9*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/37126152 and 74\/27.\nAnswer: 111378456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -36904*y - 405978. What is p(-11)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 2*r + 15)*(6 - 9*r - 6)*(-3*r + 2*r + 3*r)*(0 + 2 + 0).\nAnswer: 72*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2383.65302 to the nearest ten.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-171)\/(-456))\/(1\/(-8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 233 = 5*b - 0*u, 37 = b - 4*u. Suppose -n = -73 - 2. Suppose -3*d - 2*d + n = 0. Calculate the greatest common factor of b and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 - d + 4 - 2 - d**4 - 3*d - d**3 to the form r*d**4 + z*d + h*d**2 + i*d**3 + j and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6418?\nAnswer: 2, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1815122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/((-130)\/15))\/(1\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 3134140?\nAnswer: 3134143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 8:58 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by 14?\nAnswer: -17\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/147)\/((-84)\/(-18) + -4)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1356162034 to the nearest integer?\nAnswer: 36826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-14)\/(-84))\/((-5)\/39). Let o = y + 9\/10. What is the closest to 1 in o, -2\/13, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-121*m**4 + 51*m**4 + 4*m**4)*(5 - 2 - 2).\nAnswer: -66*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 6 - 42. Let c(k) = -7*k + 15. Let l be c(-13). Let z = 114 - l. Calculate the lowest common multiple of n and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-35)\/42)\/(30\/(-12)))\/((-2)\/(-66)). Let p(a) = -7 + 2 + 0 + a. Determine p(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1029054?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18 and 412300.6.\nAnswer: -7421410.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 26\/5 of a century?\nAnswer: 6240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)*o\/(o**1\/o*o))**(-5\/9) assuming o is positive.\nAnswer: o**(35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 230349 take away -28210.2423?\nAnswer: 258559.2423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23479 is divided by 118?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.3744324 decades?\nAnswer: 3.744324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7402629 milligrams to nanograms.\nAnswer: 740262.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**3 - 30*g**2 + 64387*g - 1 + 61351*g + 30*g**2.\nAnswer: 3*g**3 + 125738*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (35 - 5 + 67)*(2 - 1 + 3)*(5 + 0 + 3)*(4*a - 8*a - 3*a) as q*a + t and give q.\nAnswer: -21728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1368 and 157320.\nAnswer: 157320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 100001?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -5 (c) 13 (d) 0 (e) -131\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -85 + 153 + 41 - (2 + (-14 - 3 - -2)).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 84300301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 203117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 145050 or 5947090\/41?\nAnswer: 5947090\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 23*n - 6. Let v(o) = 5453*o - 1425. Let t(b) = 475*l(b) - 2*v(b). Let y(d) = 16*d**2 - 35*d**2 + 13*d**2. What is t(y(i))?\nAnswer: -114*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -1 + 0 - 2*f**2 + 2*f + 4*f**2 - f**2. Let u be n(1). Let q be 2\/(1*(u - 15)). What is the third smallest value in q, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 4, 3, 61\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*u**3 - 2 + 12*u**3 + 2 + 3*u wrt u.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 9) to base 13\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 + 6 - 2)*(3 - 3 + 3*o - 2)*(134 - 64 - 118) + 4*o - 6*o - o as s + z*o and give s.\nAnswer: 2016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9296 by -11.\nAnswer: 9296\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.4 and 1074.\nAnswer: 1079.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + -1)*18\/135. Let c be 15\/92 - 2\/8. Sort c, -0.1, b in descending order.\nAnswer: c, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 567.7603ml?\nAnswer: 0.5677603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, i: 4, k: 3}. What is prob of picking 1 x and 2 i?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i + 17. Let b be u(3). Let h(l) be the second derivative of 2\/3*l**3 - 2*l**b + 4*l + 0. Differentiate h(t) with respect to t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 10. Let m be n(-11). Let r be m*3\/(-6)*-1. Let c = -182\/3 + 60. What is the closest to -0.1 in c, -1\/2, r?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**2 + 5*g - 11. Calculate c(4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c = 0. Let a(y) = -26*y - 2. Let h be a(5). Find the common denominator of 71\/20 and (c + (-3)\/h)*214.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -13*k**2 + 2. Let x(q) = -2*q**2. Give x(v(r)).\nAnswer: -1352*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19683040.\nAnswer: 2, 5, 13, 9463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121, 487, 1089, 1921, 2977?\nAnswer: 4251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-2))\/(12 + -13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008783238 to 6 dps.\nAnswer: 0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2 = 2*j. Suppose 0 = 4*u - u - j*z - 15, 3*z + 21 = 4*u. Suppose u*n = -2*n - 20. Let r(q) = q**2 + 5*q + 5. Determine r(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23432573791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17422 - -17605. Sort 4, 5, 2, t.\nAnswer: 2, 4, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 292, -1\/5, 0.4, 0.5, -12?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126451979.\nAnswer: 149, 848671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**6\/15 - p**4\/24 + 5*p**2\/2 - 8*p. Let x(y) be the first derivative of q(y). Find the second derivative of x(r) wrt r.\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124 by -2049807.\nAnswer: -124\/2049807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85 - 17. Calculate the greatest common divisor of k and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -30. Suppose 4*x + 0*n - 2*n = -12, z = -4*x - 4*n. Let m = 4\/19 + 2\/171. Which is the second biggest value? (a) m (b) -1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-4) + 1*2. Let v be 1\/(2\/8 + i). Suppose 0 = -0*l + v*l - 5*r - 67, -2*r + 10 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.56, -2397, -0.3?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 114 = 3*d, 5*d + 0*q + 2*q + 190 = 0. Let f = d - -41. Let v = -24.992 + -0.008. Put v, f, 0.5, -5 in decreasing order.\nAnswer: f, 0.5, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -f + 183, 3*f + u + 2*u = 609. Suppose f + 113 = 3*s. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**3 - 5*m**3 - 2*m**3 + 91*m.\nAnswer: -m**3 + 91*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**3 - y**2 - 2*y + 2. Let f be m(0). Let h be 2\/(19\/17 - 1). Suppose 10 = f*w + 5*k - 16, 3*w + 2*k = h. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2067399631.00000265 + -2067399732. Let g = z + 101. Round g to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*u - 8. Suppose 0 = -v + u*v - 2. Let a(o) = -o**2 + 3*o + 9. Let g(j) = -j - 4. Let p(b) = -3*a(b) - 7*g(b). Give p(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1306.415 - -1310. Let a = -3.5 + c. Let q = a - 0.09. What is q rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -18*f + 15*f. Calculate the smallest common multiple of 14 and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b**2 - b + 1. Determine m(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -94978.48 - -0.0648.\nAnswer: -94978.4152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -1 + 3*g + 225*g**2 - 221*g**2 + 1 + 3. Suppose p - 1 + 3 = 0. Calculate f(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5775 divided by -1925?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 4:33 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 216294 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*u**2 + 60*u**2 + 69*u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f**2 + 8*f + 146. Let d(s) = -14*s**2 - 22*s - 437. Let r(w) = 4*d(w) + 11*k(w). What is the first derivative of r(c) wrt c?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126662262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at least -69.91985?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54748 by -4.\nAnswer: -13687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -940 - -91178\/97. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 20, 4*r + 3*u - 7*u + 32 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2739 and 243273.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021120 + -2020?\nAnswer: 1012100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78 - -119. Let b(w) = -7*w - 4. Let f be b(-6). Let k = i - f. Solve 0 = -k*r + 3 - 15 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 - 22869*b**2 + 778609*b - 2129979.\nAnswer: -(b - 31)*(b - 3)*(b + 22903)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -1\/12*q**3 - 5*q - 1\/24*q**4 + 0*q**2 - 2. Let j(a) be the first derivative of b(a). Suppose j(x) = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - 37. Let g(p) = -p**2 + p. Let j(c) = 6*c**2 - 3*c. Let y(x) = v*g(x) + 2*j(x). Let l(a) = -a**2. Calculate y(l(o)).\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 6 + (-1 - 6 + 3)*(-1 - 5 + 4))*(5*t + 0*t - 3*t).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18307, -18361, -18409, -18451, -18487, -18517, -18541?\n\"Answer: 3*o**2 - 63*o - 18247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 11:58 AM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(363)*1)**2.\nAnswer: -44*sqrt(3) + 367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -11*w**2 + 0*w + 7*w**2 + 4*w**3 + 2*w. Let k be u(-6). Let p be (-2)\/(-6) + k\/9. What is p rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3245.6 and -3.\nAnswer: -3248.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-46)\/(-84) + 10\/35. Let i be (-7 - -3) + 8\/4. Put r, i, 0.4 in decreasing order.\nAnswer: r, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + -0.2. Let k = -3 + z. Let c = -5.2 + 5. What is the smallest value in -2, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -310 or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oowoamomamssms. What is prob of picking 1 m and 1 o?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 48\/209, 428.84 in descending order.\nAnswer: 428.84, 3, 48\/209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3446 (base 14) to base 9\nAnswer: -13406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 y when two letters picked without replacement from ooyvvvv?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16895532?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(140)*-1 + sqrt(140)))\/((sqrt(100)\/sqrt(2))\/sqrt(10)))\/((sqrt(72)\/sqrt(2))\/sqrt(9) + sqrt(64) + 4*sqrt(64)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 298243 greater than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 256 and 1288?\nAnswer: 41216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53\/106 - ((-12)\/18)\/((-56)\/(-6)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*h - 25. Suppose h*f - 1 = 14. Which is the nearest to 2? (a) -2\/15 (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (579*j**2 - 227*j**2 - 233*j**2)*(1 + 3*j - 1) as x + u*j**2 + z*j + f*j**3 and give f.\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 7685576?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p. Let k(t) = -4*t - 10. Let v(c) = k(c) - 3*u(c). Calculate v(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from xhxrxxxxhxhhhrxrrxx?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3872 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 800910 = -262890. What is m rounded to the nearest one thousand?\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 9 + 2 = 0. Suppose -k = -2*p + 3. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a milligram in micrograms?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59206977.8 rounded to the nearest one million?\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/(-2))\/((-2)\/(-4)). Is 4 - (-116 - (l - -5)) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 484? (a) -0.1 (b) -1\/7 (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*w - 68*w - 3295 = -3*c, -3*c = 3*w - 3327. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*r - k - 18, 5*r = 4*k. Let q = -9 + 3. Let d(j) = -j - 4. Let l be d(q). Solve r*a + 15 + 3 = -l*p, -5*p = -a + 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 800 and 1511000?\nAnswer: 6044000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -136, -1540, -14 in descending order.\nAnswer: -14, -136, -1540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykffffffyffffyfkf. Give prob of picking 3 f.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*j + 2)*(-3 + 2 + 2)*(15 + 1 - 1).\nAnswer: -30*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7 times -0.1655?\nAnswer: -0.44685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (77 - 0)*(-4)\/(-16) and ((-3)\/(-12))\/(14\/208).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -5*p**7\/14 + 11*p**6\/5 - 27*p**5\/10 - 4*p**4 + 23*p**3\/2 - 9*p**2 + 194*p - 1. Solve y(l) = 0.\nAnswer: -1, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(-6)*(-45)\/6. Suppose -3*d - 10 = s, 2 = 5*s - 3*d - f. Suppose -10 = -s*p + 8. Solve 8 = -0*b - 4*b, -3*j = -3*b + p for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**5 - 11*y**4 + 1041*y**3 + 496915*y?\nAnswer: 40*y**3 - 132*y**2 + 6246*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 82 - 76. Solve -c + f*c - 20 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, r: 4, t: 6}. Give prob of sequence tr.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.358 to two decimal places.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, w: 3}. Give prob of picking 2 s and 1 w.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 32 = -8*z. Let j(x) = -4896*x - 1 + 5 - x**3 - 10 + 4895*x + 8*x**2. Determine j(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19190, 38379, 57566, 76751, 95934, 115115, 134294?\nAnswer: 153471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 2 - 0, -72*u + 38*u + 36*u + 13*w - 70 = -47*w for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u + 360 + 368 - 728.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -643117 + 0?\nAnswer: -643117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -19905.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/(-252))\/(2\/14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + (-2*sqrt(66) - sqrt(66)) + sqrt(66))\/sqrt(6) + (sqrt(1331) - sqrt(1331)*-1).\nAnswer: 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/1)\/((22\/11)\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of c**2 + 146 + 7\/3*c**3 - 2*c. Let h(w) = 90*w**2 + 27*w - 27. Give 2*h(v) - 27*y(v).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 96935015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 91455757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 v when two letters picked without replacement from yvwhyfo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*s - 4200, 5*r + 10 = 3*r. Suppose -24304 = -3*o + 2*p, s = -o + 2*p + 10218. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 382, 1524, 3434, 6118, 9582, 13832?\n\"Answer: k**3 + 378*k**2 + k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + -40 + 20 - (-11 - 0).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 302, 590, 882, 1178, 1478, 1782, 2090?\nAnswer: 2402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 9*j. Let c(x) = -4*x - 3. Let k(f) = 3*f + 2. Let q(r) = 5*r - 1. Let b be q(-3). Let n = b + 13. Let i(s) = n*k(s) - 2*c(s). Calculate m(i(o)).\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 46, -20, -124, -266, -446, -664, -920?\n\"Answer: -19*c**2 - 9*c + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*a + 1775 + 1134 = 372 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o - 9. Let n be s(-6). Let h be -3 - (9\/3 + -7). Suppose h = -2*i + n. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*n)*(4*n + 2*n**3 - 3*n**3 + 2*n**3)*(-n + 0*n - 2*n).\nAnswer: -9*n**5 - 36*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6314, -6376, -6448, -6536, -6646?\n\"Answer: -y**3 + y**2 - 58*y - 6256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2207 and 2248?\nAnswer: 4961336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 58139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*q**2 - 92449365*q + 92449365*q.\nAnswer: 47*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from pkkkkwkjejwwekwejkj.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56 + 2*s - 50 + 0*s + 251*s**5 + 98 + 238*s**5 wrt s.\nAnswer: 9780*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83028?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48*d**5 - 3954*d**4 - 6674*d**2 - 86*d?\nAnswer: 2880*d**2 - 94896*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**3 + 51*w - 51*w + (-3*w + 2*w + 2*w)*(-w + w + w**2).\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*l + 2 = -68*l. Calculate the greatest common factor of 16 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 27*j - 24*j. Solve 5 = k - j*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 525*d**2 + 1133*d**2 + 194*d**2 + 0*d**2 - 2*d**2 + d**2 + (3 - 5 + 4)*(-d**2 - 1 + 1) + 0*d + d**2 + 0*d.\nAnswer: 1850*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 42*u + 1 - 2 + 3 as n*u + s and give n.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -47893 (base 14) to base 7\nAnswer: -1324643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - b - 1. Let a(v) = 2*v**2 + 15*v. Let m(c) = -a(c) - 9*o(c). Determine m(3).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**4\/2 + 25*m. Calculate z(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 788007 is divided by 3698?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 8 = k, i - 5*k + 5 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1005 is divided by 250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326152.\nAnswer: 2, 59, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.291 to the nearest integer.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -883 and 3\/29 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and 28.08161.\nAnswer: 27.88161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*g - 97*g = 264. Solve -1 = -10*c - g for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 223 and 12324318?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.9303368 months to millennia.\nAnswer: 0.0001608614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l + 5 - 2*l**2 + 3*l**2 - 2*l - 4*l. Let b be o(11). Suppose 5*k - 2*h + b*h - 295 = 0, -3*k + 153 = -3*h. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 704, 1\/3, -1\/73?\nAnswer: 704","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -102 + 179. Does 20 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9701 times -0.5\nAnswer: 4850.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7394.80492 rounded to the nearest ten?\nAnswer: 7390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (10 - (17 + 3 + 0 + -6))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-196*a**2 - 100*a**2 + 71*a**2)*(0*a + 3*a + 2*a) - 3*a**3 + 3*a**3 + a**3.\nAnswer: -1124*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 1365\/336)\/(9\/(-60))?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 4. Let y be s(3). Let c = -1549\/15 - -102. Let n = c + 239\/165. What is the nearest to 0.3 in -4\/5, n, y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 182\/3 - 1363\/3*i.\nAnswer: -(i + 91)*(15*i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/24 and -76\/17457.\nAnswer: 139656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 20*l**2 + 9484836*l - 4742379*l - 3 - 4742457*l.\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/2840)\/((-18)\/111204). Let o = -18\/355 - u. What is the common denominator of o and 31\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-333)\/2664)\/(1\/8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 49, 152, 341, 658, 1145, 1844?\n\"Answer: 7*d**3 + d**2 + 51*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + -7. Let i be -5*((-12)\/(-420))\/((-2)\/(-4)). Put i, n, 1 in decreasing order.\nAnswer: 1, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 499*n - 18 - 489*n + 46 - 10 - 18.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-585712)\/(-6))\/(2\/84). Let w = 126 + -124. Suppose -w*d + 6*d - h = q, 8200016 = -2*q - 4*d. What is q rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**3\/2 + 3*a**2\/2 - a - 13. Let c(j) = 2*j + 2. What is -4*c(d) + 3*q(d)?\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 416 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yq when two letters picked without replacement from qqqqqqqqqqqqqqqqqyq.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/10, -2, -4?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -298 (base 11) to base 2.\nAnswer: -101011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 7 = -1. Suppose 2*h + h - 2*n + l = 0, -2*h = -n + 3. Let i(p) = p + 1. Calculate i(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i. Let l(r) = 1898*r**2. Calculate l(k(y)).\nAnswer: 30368*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*h + 16, 4*z - h = -6*h - 17. Solve -10 = -3*b + z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d**3 + d**2 - 2*d + 1. Let h be 3\/9*3*1. Let m be v(h). Solve 5*f + y + 1 - m = 0, -2*y = 3*f - 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -727? (a) 0.002 (b) -1 (c) 9 (d) 1\/2 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w**5\/7 - 40*w**4\/7 - 176*w**3\/7 + 324*w**2\/7 + 1098*w\/7 + 324\/7 = 0 for w.\nAnswer: -3, -2, -1\/3, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 44. Suppose 4*u + 3*f = 72, 0 = -u - 2*f + 3*f + y. Suppose 6*i = 3*i + u. Solve -i*v + v = -2*c + 1, v = 4*c + 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 * -26\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 86380 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - (18\/(-36))\/(1\/(-2)). Let k be ((-200)\/b)\/((-5)\/5190). Round k to the nearest one thousand.\nAnswer: 69000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -622 (b) -0.1 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1115 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6*m = 5*v - 13, -5*v - 2*m + 8 = 0. Let q = 3 + 6. Suppose -19*a**v - q - 2*a**2 + 48*a - 3 = 0. Calculate a.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2664 is divided by 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 475*k - 29467686 = -159*k. List the prime factors of k.\nAnswer: 3, 15493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/141696 and 151\/97416.\nAnswer: 1558656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*s**3 - 1663*s**2 - 2*s + 55529 wrt s?\nAnswer: -30*s - 3326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2655*m**2. Let j(k) = 113*k**2. Determine -118*j(p) + 5*o(p).\nAnswer: -59*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r + 60. Let t(u) = -6*u - 180. Determine -8*k(n) - 3*t(n).\nAnswer: -6*n + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2. Let x(y) = 6*y - 1308367. Give x(p(b)).\nAnswer: 6*b**2 - 1308367","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 27*s - 212. Suppose -32*h + 46 = -210. Give z(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 361? (a) 1\/5 (b) 0.5 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 19*m**2 + 5*m + 6. Let f be p(19). Suppose -2*h + 3*b = 2*h - 422, 0 = -h + 3*b + f. Calculate the remainder when h is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 3*q + 7, -4*q + 28 = -q - 2*k. Suppose -3*u = 3*w - 6, w - 2*w - 3*u + q = 0. Let h = w - -5. Calculate the lowest common multiple of 9 and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**3 + 2*j**2 + 6*j - 6*j + (1 - 4 + 0)*(-j + j**3 + j) in the form z*j**3 + d*j + b + m*j**2 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -96 and -0.01.\nAnswer: -96.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -478211, -478327, -478443, -478559, -478675, -478791?\nAnswer: -478907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*y - 2723*y**3 - 6*y**5 + 11*y**5 + 2731*y**3 + 7 wrt y?\nAnswer: 100*y**3 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61792350 a multiple of 357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -30. Let h = 10 - 4. Solve -2*k = 2*x + h, x - 2*x + b = -5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 7*d - 4. Let n be u(6). Suppose n*a + 2*a = 40. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/2)\/((-21)\/(-6)). Let z = -7 - -5. Let g = z - -2.1. Which is the closest to 1? (a) r (b) -2\/9 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5340 + 14203?\nAnswer: 6643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4023*g + 5*s = 4018*g + 55, 24 = 4*g - s. Let y be 1 - 0 - -2 - -1. Let b(m) = 2 - 3*m + 1 - y*m + m**2. What is b(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 5*n - 90. Let h = n + -2. Let b be (-8)\/36 - h\/9. Solve b*j = j - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*b = -2*b - 25, -5*c - 2*b + 48 = 0. Let d be 5*(14\/c + 0). Find the first derivative of d + 0*k - 4 + k wrt k.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 117, 387, 947, 1941, 3513, 5807, 8967, 13137?\n\"Answer: 24*w**3 + w**2 + 99*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/58776 and 9\/3160.\nAnswer: 293880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*s + s + 143, 3*r - 149 = 5*s. Let k be s\/21 - (-2)\/(-3). Is -2 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25356, -103091, -232650, -414033, -647240, -932271, -1269126?\n\"Answer: -25912*b**2 + b + 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23140706, 46281435, 69422164, 92562893?\nAnswer: 115703622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*l + 17*l + 232*l - 95*l.\nAnswer: 124*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21603 and 9276.\nAnswer: 66796476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/59 in 0.2, -0.3, 3\/5, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 12*j - 6. Let n be h(-6). Suppose n*m - 29*m = -40. Put -3\/2, 4, m in descending order.\nAnswer: 4, -3\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - b - 2646 = 0. Let u be b\/(-44) + 6\/33. Let m = -30 + u. What is the biggest value in -1\/5, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*r - 332 = 115*r + 3573 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, r: 1, x: 1, d: 1, g: 2, s: 3}. What is prob of picking 2 g and 2 h?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.17371084 * -0.3\nAnswer: -0.052113252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 b when four letters picked without replacement from bjbjjbvbjjjbjjjvbjj.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*v**2 - 4*v + 3*v - 18*v**2 + 15*v - 1.\nAnswer: -75*v**2 + 14*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + k - 2*q - 50 = 0, 5*q = -5*k + 25. Let l be 6*(-5)\/k - -994. Suppose a - 826 = l. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412519 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6745320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -16968\nAnswer: -1\/4242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2 - 3 - j**3 + 7*j - 5*j**2 - 3. Let i = 916 - 4541\/5. Calculate the common denominator of y(-6) and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59864 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 14. Suppose -2*v + 24 = 2*s, -v + x*v - 21 = -2*s. Calculate the remainder when 19 - (-1 + (0 - 0)) is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**5\/30 + s**4\/24 + 88*s**2 - s. Calculate a(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 28*c**2 + 20. Let z(s) = -1. Let t(k) = -u(k) - 20*z(k). Let r(m) be the first derivative of 2*m**3\/3 + 88. What is t(r(n))?\nAnswer: -112*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -12*q + 7. Suppose 24 = -q*n - 4*w, -3*n - 2*n + 3*w + 10 = 0. What is the tens digit of (-6 - (n + -9))*(33 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -2077187.\nAnswer: 10\/2077187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/(-9) + (-14)\/(-63). Let b(p) = p**2 - 4*p - 4. Let y be b(q). Solve -3*o = -o + y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.06 + 1.858. Round n to 2 dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4449 is divided by 1482.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -188, -448, -816, -1292, -1876?\nAnswer: -2568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a - 40. Let w be p(-20). Let j(d) = d**3 - d - 3. Let v be j(w). Let i be (-4802)\/v + (-4)\/6. Round i to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -433 - -212. Suppose 5*z + 0*z - 617 = 4*r, 4*r - 3*z + 615 = 0. Let y = r - b. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 4:09 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 5*v**2 - 2*v + 7. Suppose 2*p = 11 - 29. Let h be 0 + 10\/45 + (-43)\/p. What is y(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 375.56945975 - -66.\nAnswer: 441.56945975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.471829 - 11145.\nAnswer: -11145.471829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-5) - (-6)\/15. Solve -2*g + 4 = -0*g + 2*r, -j*r + 6 = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1998525449 plus -0.1?\nAnswer: -1998525449.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -2. Let m = 0.4 + -0.5. What is the third biggest value in j, -2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -a + 7, -a = v + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 12978306*d - 116804834. Give n(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 p when four letters picked without replacement from pwwwswsswpws?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1557028 and 484?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + -61. Let v = 102 + l. Calculate the least common multiple of 15 - -2 - (-1 - 0) and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 680602 from -7.4.\nAnswer: -680609.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33.4? (a) 4\/3 (b) 33 (c) 0.03 (d) 0 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a**2 + 5*a**2 - 11*a**2 + 6*a**2 - 4*a**2.\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 2. Suppose -5*q - 9 = 5*w + 6, 3*w = 4*q - 44. Let f be ((-44)\/(-16))\/((-1)\/(-4)). Let x = w + f. Calculate k(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 5*f + 48. Let v be 8\/2 + (-30)\/f. Let g be (3 - (-1 + 5))\/v - -279. Round g to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05299885 to 4 dps.\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796886 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 96568.23l?\nAnswer: 96568230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e - 8?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112029 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**5 + 376*j**4 - 13684*j**3 + 237792*j**2 - 1924272*j + 5484672 = 0.\nAnswer: 6, 18, 23, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**6\/135 - r**5\/30 + r**4\/27 + 222*r - 65. Let q(y) be the first derivative of t(y). Factor q(d).\nAnswer: 2*d**2*(d - 2)*(d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1\/9))\/m*(m\/(m\/(m*m\/(m*m**14\/m*m)))*m)\/m)**29*(m*m*m**(-6))\/m**(-9)*(m\/m**(-3\/5)*m)\/(m**(3\/5)\/m*m) assuming m is positive.\nAnswer: m**(-3359\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.1 + -0.9. Let g = d + -3.6. What is the nearest to g in 3\/2, 0.2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 30 = 2*z - 0*z, 5*z = 0. Let n(q) = q**2 - 2*q - 1. Let s be n(3). Suppose -s*v - 1 = 2*p - 3, p + 3*v = -5. Solve 2 = -p*j + l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 4:00 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 67*h + 1. Let q(j) = -156*j. Determine q(u(d)).\nAnswer: -10452*d - 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3a - -8c?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 714 divided by -1.\nAnswer: -714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -524 = -g - 4*n + 220, 0 = 3*g + 2*n - 2262. Is 42 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -11.5. Which is the second smallest value? (a) f (b) 0.2 (c) 0.09 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 60 = 3*g, 6*g - 48 = 3*g + 2*s. Suppose 2*r - 4*c + 100 = 7*r, 3*c = 4*r - 49. What is the lowest common multiple of g and r?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -97\/2, 0.5, -8\/5, -36 in descending order.\nAnswer: 0.5, -8\/5, -36, -97\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 14) to base 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iorr when four letters picked without replacement from onirhitr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1021*z + 60 = 5*u - 1016*z, 0 = 2*u - 9*z + 130 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4281 - -4447. Calculate the greatest common divisor of m and 1079.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 2:23 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1128\/4)\/1 + (-16)\/(-4). Let p(t) = 3*t**2 - 1. Let g be p(3). What is the highest common divisor of g and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 1. Suppose 2*b - 8 = -2*b. Let p(j) = 16*j + 9*j**b - 5*j - 11*j + 7. Let f(z) = -p(z) + 6*q(z). Differentiate f(s) with respect to s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 0.04, -6\/91, 3\/2, 28.\nAnswer: -6\/91, 0, 0.04, 3\/2, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 3*p**2 - 3. Let k(u) = u**2 - 1. Let r = -1 - -7. Let z be r\/(-8) + (-10)\/8. Determine z*a(y) + 6*k(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8.45022 months?\nAnswer: 0.00704185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1*-0.046706\nAnswer: -0.046706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-8))\/(-1*(-6)\/36*-3)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 462.10781 and -62.\nAnswer: 400.10781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-14430)\/(-42328)*32\/(-10)\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11097920 divided by 1387240?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - l**2 + 5*l**2)*(-3*l - 2*l + 4*l) - 3*l**3 - 4*l**3 + 9*l**3 - 2 + l**3 + 2.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -343, -5, 2, -1, -6 in decreasing order.\nAnswer: 2, -1, -5, -6, -343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l**2 - l**2 + 2*l**2)*(34 + 21 - 93) as g*l + y*l**2 + b and give y.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -26*g**2 - g - 21 - 24 + 25*g**2 - 19 + 67. Determine y(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*k = -24*k + 5*t + 28, -k = -t - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7578 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8546, 10620, 12684, 14738, 16782, 18816?\n\"Answer: -5*p**2 + 2089*p + 6462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -22. Let z(p) = p**2 + p - 4. Let y be z(l). Suppose 0 = -5*u + y*u + 75. Calculate the least common multiple of 3 and u.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -918, -19?\nAnswer: -918","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 114458, 457558, 1029302, 1829690, 2858722, 4116398, 5602718?\n\"Answer: 114322*d**2 + 134*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 196 and 368484.\nAnswer: 18055716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*o + o + 4 = 0, 0 = 3*o + 6. Let i be 2\/3*(-3)\/(-4). What is the closest to 0 in q, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 - 65*d + 64*d - 2728.\nAnswer: -d - 2805","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(-1*((sqrt(84) - -1*sqrt(84)) + sqrt(84)) + (sqrt(84) + sqrt(84)*-2 - sqrt(84))*-3))\/(4*sqrt(84)\/((sqrt(28) - -4*sqrt(28))\/sqrt(4))))**2.\nAnswer: 39375\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1070508*d - 397459.\nAnswer: -1070508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g - 1. Let k be z(4). Suppose -d + 5 = -k. What is the smallest common multiple of d and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14446807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1914 in -1523, 1, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 325.49 + -323. Let h = 0.51 + m. Put 3\/4, h, 7 in decreasing order.\nAnswer: 7, h, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -0.4. Suppose -t + 2*z = 352, 11 + 4 = -3*z. Let o = t - -4704\/13. Which is the nearest to 0? (a) j (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*m + 13508, 754*m - 755*m = 3*v - 4494. Calculate the lowest common multiple of m and 900.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = 5*c - f, 0*c - 3*f - 123 = -3*c. Calculate the least common multiple of c and 18.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmpjk. Give prob of sequence kp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 52\/3. Let c be ((-2)\/5)\/((-6)\/10). What is the nearest to c in -5, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z - 40. Determine y(-39).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j**3 + 23*j**3 - 15*j**3.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*t - 14*t - 59*t - 24*t - 18*t - 15*t + 3.\nAnswer: 18*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/10 of a millennium?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10, k: 10}. Give prob of sequence xxxx.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7678*t**3 - 103*t + 94*t - 142 + 7676*t**3 to the form u*t + j*t**2 + b + z*t**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*b + 55*b = 46*b - 404927. What are the prime factors of b?\nAnswer: 13963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 183792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 748, 2624, 6356, 12580, 21932, 35048, 52564?\nAnswer: 75116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 231756584 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**2 + 62490*z - 62485 = 0. Calculate z.\nAnswer: 1, 12497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 14*m - 10945 = -5*z, -2*z + m = -4378. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/26 - 4\/2. Let d(g) be the first derivative of g**3\/3 - g**2 - 3*g - 1. Calculate d(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 634609613*y**2 - 67*y**3 - 634609613*y**2.\nAnswer: -67*y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31811 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 29 = 5*p, 3*p + 4*i + 9 = -5. Let c be 36\/15 + 6\/10. Suppose 2*q + 2*d - 16 = -c*d, -3*d = -2*q - 16. Sort -3, 3, p, q in decreasing order.\nAnswer: 3, q, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + 12. Let y = o + -25. Is 18 a factor of (y - 2) + 27*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k + 11*k = 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071066449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/7957 + 1846031\/55699. Are 33 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -32. Suppose 3*y - 9 = 0, -s*v - 3*y = -26 - 3. Suppose 0*w + 3*w - 14 = z, -v*z = -w - 14. What is the remainder when w is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -15*c + 118. Let t(f) = 14*f - 124. Give 4*q(m) + 5*t(m).\nAnswer: 10*m - 148","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 54*b + 1927. Let m be u(-26). Sort m, 6, 1\/6 in descending order.\nAnswer: 6, 1\/6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, p: 4, w: 7}. What is prob of sequence wop?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - g - 2 = 0, 3*g + 8 = -g. Solve -y - 4*x + 19 = k, 3*y + 6*x - 5*x - 2 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-273)\/(-54)*2\/((-588)\/63)*2.\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85.61791259 + 0.04147259. Let f = 85.6 + z. What is f rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*f - 756, 30106*n - 30110*n = -4*f + 820. Let y = -5 - -25. Calculate the remainder when f is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 231*c + 7494. Is j(38) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 465*p**4\/4 - 299*p**3\/3 - 564. Find the third derivative of d(a) wrt a.\nAnswer: 2790","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwlh when four letters picked without replacement from {l: 1, h: 1, k: 2, z: 2, q: 2, w: 4}?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -70 + 5?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41435?\nAnswer: 5, 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9074 - 126951\/14. Let o = z + -25\/7. Is o at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 713142 and 86?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - j = -n + 4, -2*j - 20 = 3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50355 (base 6) in base 10?\nAnswer: 6623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**5\/60 - c**4\/12 - c**3\/2 + c**2. Let b be 221\/(-85) + (0 - 3\/(-5)). Determine k(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-8)*(0 + -4). Let g(j) be the first derivative of j**2\/2 - j + 1. List the prime factors of g(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 41462605?\nAnswer: 1\/41462605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence faa when three letters picked without replacement from awffwwwwwwwwa.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f + 0 + 0 + (27 - 82 + 24)*(-f + f - 2*f))*(-5 + 5 + 3)*(0*f**2 + 2*f**2 - 3*f**2) in the form y*f + n*f**3 + b + v*f**2 and give n.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3969194230?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (48\/3 - -4)\/2 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1892 + 408*v**3 + 1892.\nAnswer: 408*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1219 + -19. Is 48 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5624 by -3698.\nAnswer: -2812\/1849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 241*v - 9 - v**2 - 40 - 241*v to the form q + d*v + t*v**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -7\/16094 and 4.8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.67654*-2.\nAnswer: 1.35308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (0 - -4)) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 122012987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 32*k - 4 + 0*k**2 + 165*k + 3*k**2.\nAnswer: 3*k**2 + 197*k - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 2 - c - 5*c**2 + 7*c**2)*(-5*c + 3*c + 6*c).\nAnswer: 4*c**3 - 4*c**2 + 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11888, -23085, -34282, -45479, -56676?\n\"Answer: -11197*v - 691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12 and 142.\nAnswer: -17.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, j: 3, n: 2, v: 8}. What is prob of sequence njnj?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, 11, -3, -2\/11, 1.14, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*r + 20, -4*r - 4 - 4 = 4*l. Let c be 10\/(l + 178\/44). Suppose c = 3*d - 65. What is the highest common divisor of 38 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -122.6, 2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5\/15301 (b) -7\/4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -9, -3, -1.\nAnswer: -24, -9, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*m + 40. Let k = m + 25. Solve k*l = 2*l + 2, 2*c + 4*l = 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**3 + 5*z**2 - 514*z + 3640 = 0.\nAnswer: -28, 10, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 2377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*o = -295, 8*b - 3*b - 283 = -2*o. Suppose -52*t = -b*t + 261. What are the prime factors of t?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/91? (a) 1\/8 (b) -0.5 (c) 1\/5 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 1. Let k(a) = 1. Calculate 2*k(m) - 2*v(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -55917 - 198.\nAnswer: -56115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*o + 31 = -61 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*3\/27*36\/(-8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j - 4. Let t be d(-12). Suppose 2*v - 13 = v. Suppose -5*i + 4*z + v = -44, -4*i - 2*z + 30 = 0. Is t greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -13*j**2 + 9*j. Let v(y) = -2*y**2 + 5*y - 2. Let g(z) = 3*z**2 - 11*z + 5. Let u(p) = -2*g(p) - 5*v(p). What is -7*u(i) - 2*w(i)?\nAnswer: -2*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6128\/7 - 876. Let g be 19\/15 + 30\/(-50). Let j = -0.3 + 3.3. What is the nearest to g in j, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h = -864143*q + 864145*q + 54, 0 = 3*q + 4*h + 36 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 - -68. What is the closest to i in -0.3, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.037? (a) -6\/7 (b) -158 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62727097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1668.14 to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 3732365645 to the nearest one hundred thousand.\nAnswer: 3732400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 6*s - 1. Let l be u(6). Let h(v) = 17*v**2 - 1. Calculate h(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 2)*(3*w**2 + 0*w**2 - 5*w**2) + 3*w**2 + 16*w**2 + 33*w**2 in the form b + r*w**2 + o*w and give r.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*sqrt(60)*2 + sqrt(60))\/sqrt(5) + -4.\nAnswer: -10*sqrt(3) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 - 4. What is q(-4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -1\/7 (c) -0.5 (d) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 not equal to 65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*v - 675 = 0. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 16*i + 700. Give z(-36).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (108*g**2 - 111*g**2 - 23*g + g)*(4 + 2 - 3)*(26 - 10*g**2 - 26)*(1 - 2 + 0) as h + i*g**3 + u*g**4 + d*g + o*g**2 and give u.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (64 + 3 + 45)*(-1064925 - 91*k**3 + 1064925 + 11*k**2) in the form t*k**2 + p*k**3 + j*k + g and give t.\nAnswer: 1232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3233 - 3176. Solve f - 30 = 9*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 r when three letters picked without replacement from {r: 8, u: 3, e: 7}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*r - 0*x - 5234, 1300 = -r - 4*x. What is the units digit of 1 - (r\/8 + 1\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**4\/12 + a**3\/2 + a**2. Let v be o(4). Suppose 13 = 2*z - v. Calculate the greatest common factor of 30 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -h + 6, -h = 7*x - 2*x + 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006405 rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 422.18 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 3 + 16 - 37\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1825 is divided by 233.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.88 - -0.12. Let q(l) = l**3 - 7*l**2 + 4*l + 8. Let v be q(6). Let i = v - -4. Which is the second biggest value? (a) f (b) i (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -64, 7, 0 in descending order.\nAnswer: 7, 4, 0, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -729010 + 728865.0366. Let i = x + 145. Round i to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -856 divided by 2.\nAnswer: -428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2804 - 2809. Put -3\/5, k, 1, 3\/59 in ascending order.\nAnswer: k, -3\/5, 3\/59, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-26 + 37 - (-7 + 1 - 0))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -244.5326 rounded to zero dps?\nAnswer: -245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/12 and 41\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30590 by -1330.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -29\/4, 2, 0.4, 4\/3, 9\/5, -2?\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16982\/3 smaller than 5662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0, 1.5 in increasing order.\nAnswer: -1\/3, 0, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -524314.9391 to the nearest 10000.\nAnswer: -520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2021003 (base 4) to base 14.\nAnswer: 32a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 657743 or 657741?\nAnswer: 657741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*s**2 + 39*s**2 - 82*s**2 + 3 - 3.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2224*l + 4. Let x(d) = 6686*d - 11. What is -8*h(f) - 3*x(f)?\nAnswer: -2266*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16207 + 16207 = 915*o. What is t in -465\/4*t**4 - 189\/2*t**5 - 81\/4*t**3 + 3\/2*t**2 + 0 + o*t = 0?\nAnswer: -1, -2\/7, 0, 1\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -q + 48, 9*q = -5*w + 1734 - 1654 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 0) + (-76)\/10. Let r = -137\/20 - c. Let s = 7 + -6. Is s at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 39, -2\/97, 11?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**5 + 189*h**4 - 3663*h**3 + 19311*h**2 + 23166*h = 0.\nAnswer: -1, 0, 11, 26, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1aa2 + 4?\nAnswer: 1aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -112.86 or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.4 times 977?\nAnswer: -11137.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138398921 is divided by 682?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 3*c - 2*t - 331353 = 0, 2*c - t - 220903 = 0. Suppose -2*a - c = 20147. What is a rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.2 - 7. Let w = -0.22 + 0.12. Let g = -7 - -6. What is the third biggest value in w, g, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**1\/c)**6)**(-2\/45)\/((c\/(c\/(c*c*c**(-2)\/c*c*c)))**29)**(22\/3) assuming c is positive.\nAnswer: c**(-1066\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -460329, -460315, -460289, -460251, -460201?\nAnswer: -460139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-214)\/(-107)*(-4)\/(-6)*-3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*k = -25*k - 560. What is the second biggest value in 87, k, 0.5, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 7:38 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -6. Let f = 5 + r. Let -a**2 - 3*a**f + 8*a - 8 - 4*a**2 + 6*a**2 = 0. What is a?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1475 or -1477?\nAnswer: -1475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**6\/480 + i**5\/48 - i**4\/16 - 24*i**2. Factor f(s).\nAnswer: -s*(s - 3)*(s - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 4*s**2 + 5*s - 3. Let a be o(3). Let f be a - ((-108)\/(-15) + -4). Let y be 1\/(-4 + 3 + -2). What is the third smallest value in f, -3\/2, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 146 in 6, 0.5, 5581?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, k: 1, i: 1}. Give prob of picking 1 i and 1 a.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154020 divided by 2807.\nAnswer: 154020\/2807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, o: 10}. What is prob of picking 2 o?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from ojhuuhuohjqp.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18686?\nAnswer: 2, 9343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8 - 1) + (47 - 37) - 7) + (1 - -45).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -725514?\nAnswer: -725516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 177 - (9\/7 - (-6)\/(-21)). What is the greatest common factor of h and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 6*f**2 - 6*f - 1. Let w be j(-4). Let v be (15\/w)\/(1\/(-3)). Suppose -5*u + 5 = -v. Solve -u*q + 4 = 2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**2 + 1581744*x - 4745268 = 0. What is x?\nAnswer: -395439, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -8*l - 3. Let z be -5*((-12)\/5)\/(-6). Let v be s(z). Let o be (-253 + v)*(-7)\/(-3). What is o rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-3 - (-4 + 1 + 3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 82 = 3*u, -3*u + 8 = -u. Let w be m\/(-16) - (-1)\/(-8). What is the remainder when 61 is divided by (3 + (w - -2))*4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3*j = 18, n + 4*j - 15 = -4*n. Put n, -3, 4 in descending order.\nAnswer: 4, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2997, -10211, -21641, -37287, -57149, -81227, -109521?\nAnswer: -142031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*14\/(-105) + -4.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 10*j - 37*j**2 + 6*j**2 - 10*j. Let u(w) = -w**2. Give d(u(t)).\nAnswer: -31*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*s**2 + 0*s**2 - 6*s**2 as l*s**2 + p + x*s and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*o - 15 = 0. Suppose 4*n - 51 + 43 = 0, -2*u - 12 = -5*n. Sort o, u, 14 in ascending order.\nAnswer: o, u, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*h + 5. Let o = 8 - h. Suppose 6*k = o*k + 48. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31049947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from iiiikikkiiiiiikiiii.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 486763 and 31819?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -817\/6 + 436\/3. Let n = 4\/1821 - 85675\/40062. Find the common denominator of n and a.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1088 and 952?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 26*c**3 - 8. Let o(h) = -9*h**3 + 3. Suppose 8 = -78*k + 77*k. What is k*o(u) - 3*l(u)?\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -193, 2370, 4933, 7496, 10059, 12622?\nAnswer: 15185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119*-77.\nAnswer: 9163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1172 + 2860. What are the prime factors of w?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127395 to the power of 1\/2, to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5, 4, 3, 2, 1, 0?\n\"Answer: -y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 m when two letters picked without replacement from {m: 1, y: 6, v: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 18*a**4\/11 - 76*a**3\/11 - 2*a**2\/11 + 76*a\/11 - 16\/11 = 0?\nAnswer: -1, 2\/9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 9\/8 (b) 0.3 (c) -5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1330)\/285)\/((-1)\/(9\/(-6)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*x + 12 = -y, -2*y + 33 = -5*x. Suppose 5*f + y*z = f + 32, 4*z - 2 = -f. Solve -4*i + f = -2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81164 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*h - h**2 - 2*h - h in the form u + a*h + y*h**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48*g**4*v + g**4 - g**3*v - 14*g**2 - 12*g*v wrt g?\nAnswer: -1152*g*v + 24*g - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 + -4 + 3 + -2. Let q be 0 - 0 - 4\/2. Sort 3, z, q in decreasing order.\nAnswer: z, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3.05, 8, 2, -2\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -4311?\nAnswer: 4303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -6. Suppose 0 = -g - a*g - 4, -4*w + 10 = -2*g. Factor 0 + 0*n**3 + 1\/3*n**4 - 1\/3*n**w + 0*n.\nAnswer: n**2*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 27, 47, 71, 99, 131?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*a**5\/5 + 288*a**4\/5 - 759*a**3 - 162*a**2\/5 + 15228*a\/5 + 648\/5 = 0.\nAnswer: -6, -2, -2\/47, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 346266?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/((-3095)\/3100 + 6 - 5) is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10 + -10 + (3 - 1). Suppose 2*b + 318 = r*n, -2*n + 5*b + 181 = -131. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**3 - 6*a**2 + 2153*a - 12953. Calculate d(6).\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -71190 and -327 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -0*a + 3*a + 5*y, -5*a - 32 = -2*y. Put 1, a, -2 in increasing order.\nAnswer: a, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 347407, 1389853, 3127257, 5559613, 8686915, 12509157, 17026333?\nAnswer: 22238437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -9*s - 25. Let h be n(-3). Factor -3*c**4 - 23*c**3 + 3*c**3 + 20*c - 10*c**2 - h*c**4 + 15.\nAnswer: -5*(c - 1)*(c + 1)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3168145322\/805 + -3935585. Let i = 4\/115 + a. What is the second smallest value in -0.4, -0.5, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*h - 5*h, -2*u = h. Let l = u + 0. What is the nearest to -0.1 in -2, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 5*x = 5*b - 5, 15 = 5*b. What is the remainder when (-304)\/(-3)*(x + 4\/(-8)) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-126)\/(-7))\/((-4)\/(-8)*(-14)\/21)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 13 = -6*y. Calculate the highest common divisor of 162 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-1)\/(-1) + 6. Suppose -f*z - 37 = -3*j - 3*z, 4*j = -2*z + 20. What is the greatest common divisor of 70 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 267 and 267?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 4*k - p, 4*k - 3754*p = -3758*p - 60 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i + 36*i**2 + 3*i - 4*i**3 + 3*i**3 - 8*i**2 - 11*i**2 to the form o*i**3 + n*i + s + m*i**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5}. Give prob of sequence gg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/2*(-4)\/6. Suppose 5*j - 4 - 6 = 0. Let p be (0 + j\/(-6))*1. Which is the biggest value? (a) 0.2 (b) p (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + s**2 + 4)*(10*s - 28 + 28) + 2*s - 2*s**3 - 2*s)*(-3*s + 18*s**2 - 62*s**2 + 113*s**2).\nAnswer: 552*s**5 - 24*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-212)\/424 - ((-34642)\/4 + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve z + 1 = -k, 2*z - 46*k - 2 = -50*k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 4\/56 - (-1902)\/28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8610 and -104 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 - 11202020121?\nAnswer: -11202020223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3238, -3623, -4010, -4399, -4790, -5183, -5578?\n\"Answer: -v**2 - 382*v - 2855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1262426 is divided by 3196.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2*l - 5)*(2 - 2 + 3)*(-4 + 8 + 4) in the form f + g*l and give g.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 63\/(-27))*-3 + 8. Solve -u = -32*g + 40*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 106, 110, 114, 118, 122, 126?\n\"Answer: 4*x + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 893 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/3)\/((-4)\/18). Let g be (15\/(-6))\/(k\/(-6)). Suppose -g*h + 23 = -2. Solve 2*r - h*r = -12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17 and 2?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 195*b**2 + 150*b**2 + 41*b**2 + 283*b**2 as z + l*b**2 + o*b and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 7*y - 9. Let n be p(-8). Let d be (0 - 3)*(1 + -2). Suppose 18 = -3*o + 4*v, d*v + v = -2*o - 12. Sort o, n, 2 in increasing order.\nAnswer: o, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 191 and 274.\nAnswer: 52334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 2)*(-2*a - 2*a + a) - 354 + 17*a - 7*a + 315 to the form l + x*a and give l.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(-9) - (-4)\/18. Suppose 3*t + 3*j + 1 = 10, -2*j - 3 = -t. Suppose 0 = -3*a + t*q, -a - 1 = -4*q - 10. Sort a, 2\/13, k in descending order.\nAnswer: k, 2\/13, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1540534.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 484 = -2*v. Suppose -2*c + 144 = 4*f, 5*f - v = -c - 65. List the prime factors of f.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, a: 3, i: 1, d: 4}. What is prob of sequence ai?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -26*t + 54*t. Suppose 0 = r - g - 1, 4*g - 11 = -r. Let u be (0 - (-1 + t))*r\/12. Which is the second biggest value? (a) u (b) 4 (c) 2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23054 - 23052. Factor -4\/3*j + 2 - 2\/3*j**v.\nAnswer: -2*(j - 1)*(j + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 + 68*i - 418. Give b(6).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**3 + 217*x + 99*x**3 - 2007*x.\nAnswer: 95*x**3 - 1790*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3405468 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*o**3 + 6*o**3 - 24*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - -25 - (-16)\/(-4). Let v be h\/(805\/42)*5. Calculate the highest common divisor of v and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**4\/6 - a**3\/6 + 2*a**2. What is the units digit of x(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89421947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5607 - 1.9607. Suppose 4*w - 20 = 0, 5*u + 146 = -4*w - 174. Which is the smallest value? (a) u (b) z (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -7. Let o = 4.09 - 0.09. Let h = 4.2 - o. What is the second smallest value in i, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2640560 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - 34. Let w(b) = -28*b**2 + 27*b**2 - 5*b - 1 + g. Does 2 divide w(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/12 and -87\/80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 925*a + 4452 = 49777 for a.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 34. Calculate the lowest common multiple of 4 and r(-14).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 5*p**2)*(6*p - 10 + 3*p - 8*p).\nAnswer: -5*p**3 + 50*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -132231 - -10?\nAnswer: -132221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9975.2 times -167?\nAnswer: -1665858.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 11911412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*n**2 + 45*n + 12.\nAnswer: -3*(n - 4)*(4*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 31\/2 of a micrometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -89*g**6 + 40*g**3 + 31*g**3 + 64*g**2 + 87*g**6 wrt g?\nAnswer: -240*g**3 + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*k = -k + 22, h + k = 9. Let d be 0\/((-6)\/(-2) + -1). Let n(j) = j**2 + 35. Let r be n(d). What is the greatest common divisor of h and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(120)\/sqrt(4) - sqrt(3000)*-3)\/(sqrt(1440)*-3 + (sqrt(490)*2 - sqrt(490))).\nAnswer: -26*sqrt(3)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x + 4. Let q be g(15). Let w = q + 49. Suppose -4*z = -2*a - 470, w*z - 3*z + a - 577 = 0. What are the prime factors of z?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, b: 1, x: 5, p: 2}. Give prob of sequence pe.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**15\/(i\/(i**(2\/27)\/i)))\/(((((i**(-9)*i)\/i*i)\/i)\/i)\/(i\/((i\/i**(3\/5))\/i))))**(-1\/4) assuming i is positive.\nAnswer: i**(-3331\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 2, 5*h + 4*t - 238 = 426. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -15, -129.\nAnswer: -129, -15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 3*f + 37, -k - 4*f + 17 = -f. Suppose -k*b + 1525 = 420. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5*z - 39. Let j(o) = 6*o + 37. Give 6*j(b) + 7*n(b).\nAnswer: b - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 10021212010020?\nAnswer: 10021212010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 128*l - 123*l + 19, 53*x + 118 = -4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*x - 251*x = -3759 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 9 = -11. Suppose m*h = 22 + 13. Suppose -3*p - 2 = -23. Calculate the greatest common divisor of h and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 448132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, g: 1, n: 3, l: 1, k: 1}. What is prob of sequence nn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 804, 825, 882, 993, 1176, 1449, 1830?\nAnswer: 2337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from liilvgll. What is prob of picking 1 g and 1 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(448) + -1*sqrt(448)) + sqrt(448) + sqrt(448) - sqrt(448))**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 7 = 227. What is the greatest common divisor of 234 and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37)\/12 - ((-6)\/2 + 15\/((-3150)\/(-455))).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 18*s**2 - 277*s - 849. Let g be x(-3). What is the greatest common factor of 486 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*c = -67*c + 300. Suppose 2*f = 2*s - 40, 36 = 2*s - 5*f + 8. Calculate the smallest common multiple of ((-160)\/c)\/((-144)\/75 + 2) and s.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*g + 90, -2*g - 2 = 5*j - 140. Suppose -14*s + j + 72 = 0. Calculate the highest common divisor of 1 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 71\/(-3) + 3\/(-9). Let v be (-338)\/(-17) + y\/(-204). Let j be ((-63)\/12)\/((-1)\/v). What is the greatest common divisor of j and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43.3 + 28.7. Let u = -74 + g. Which is the second biggest value? (a) -7 (b) u (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/11 - 91\/77. Which is greater: o or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/5? (a) 1\/5 (b) 1\/8 (c) 1\/17 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 5:53 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 2\/17, -0.65, 13, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249*n + 55*n - 1274 = 67596. Sort 0, n, -4, 1 in increasing order.\nAnswer: n, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 83*j - 15. Suppose 2*c + 8 = 4*c. Is d(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8445*c**2*h**2 + 4*c**2*h - 2*c**2 - 140*h wrt h.\nAnswer: -16890*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -5. Let p(j) be the first derivative of -3040*j**3\/3 - j**2 - 10*j + 3. Let d be p(m). Round d to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24748244293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7045 + -7040. Solve -9*y**3 + 0 + 6*y**4 - 3\/2*y**h + 6*y**2 - 3\/2*y = 0 for y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3 = w, 0 = q - 5*w - 20 + 5. Solve -2*p - i - 11 = q, -3*p - p - i - 19 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17951 + 17951 - 179*p)*(5 - 6 + 3).\nAnswer: -358*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/(x**(-8)\/x))*x**5*x\/(x**(-9)\/x)*x**11\/x*x assuming x is positive.\nAnswer: x**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + -2 + 63 + -30?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -44. Let p = j - -16. Let w = -107\/15 - -22\/3. What is the biggest value in 3, w, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -356 - -361. Find the second derivative of 396*f**2 - 103*f - 197*f**2 - 199*f**2 - 60*f**q wrt f.\nAnswer: -1200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 3, 4, 2348, 1 in increasing order.\nAnswer: -26, 1, 3, 4, 2348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-21)\/(-5) - (-56)\/70 and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from upkkkakv. What is prob of sequence upk?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 795 - 520. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -778899 or -778911?\nAnswer: -778899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17653980 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (410\/40 + 6)*48\/30?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 15*k + 23. Let f be j(16). Let g(n) = 16*n**2 + 3. Is g(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 - i + 1. Let q be d(-2). Let c be -5*(-3)\/(-2 - 1) - -3. Sort q, 4, c, -1 in descending order.\nAnswer: 4, -1, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 560, 1213, 1930, 2717, 3580?\n\"Answer: j**3 + 26*j**2 + 568*j - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4*g + 76, 0*i + 154 = 5*i + g. Let w = i + -18. Suppose -w*r + 336 = -9*r. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-10)*(-85)\/17?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 15972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18992839, 18992860, 18992903, 18992980, 18993103?\nAnswer: 18993284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 7*d - 8*d**2 - 19*d - 8 + 7*d**2 - 6*d. Let p(l) be the first derivative of -l**2\/2 - 55. Determine p(m(k)).\nAnswer: 2*k + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122110 (base 3) to base 8.\nAnswer: -727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 47\/3, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 5*z - 4*x + 3, z - 5*x + 29 = 0. Suppose -a - 4*a + 10 = 0. Put -5, z, a in increasing order.\nAnswer: -5, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 4. Suppose -i*q = -8*q. Factor -4*c + 27*c**3 + 0*c + 33*c**4 + 12*c**5 + c + 3*c**2 + q*c.\nAnswer: 3*c*(c + 1)**3*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 3)*(-3*z + z + 3*z) + (3 + z - 3)*(3 + 26 - 11).\nAnswer: 19*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2\/3, 2\/9, -83, -0.2 in increasing order.\nAnswer: -83, -2\/3, -0.2, 2\/9, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 624990 and 10790?\nAnswer: 8124870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -413 + 417. Solve -t + 3*c - 1 = 0, 0*t + q*c + 1 = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/615112 and -31\/3.\nAnswer: 1845336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.377547836 - -0.377547876. Let s = -0.051 + -10.949. Let u = s - z. Round u to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 2*v - 4. Let z be j(4). Suppose -5*f + z = 0, -16 + 4 = -2*s - 2*f. Suppose 0 = 3*x + s*x + 5. Is x less than -2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 915044401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/3072 and -113\/3584.\nAnswer: 21504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 - 75277330*m + 451663800.\nAnswer: 5*(m - 15055460)*(m - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 5*u**3\/2 + 52*u**2 - 50*u. Is t(15) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (-5 - 9)) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-2 - (-800)\/390). Is z at least as big as 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eleven halves of a second?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5663645 to the nearest integer?\nAnswer: 2380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1397 and 13063093.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.131 and -3923301.\nAnswer: -3923296.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50145247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (6\/60)\/((38\/1)\/(((-18240)\/(-38))\/60))\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**11*b)\/(b*b\/((b*b**(1\/4)*b)\/b)))**(-18))**(-18\/7) assuming b is positive.\nAnswer: b**(3645\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30597.964905 + -30598. Round w to three decimal places.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15 (b) -4 (c) 2 (d) -0.4 (e) 3.544 (f) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*j, -4*v + 6*v = 4*j + 3408. Calculate the highest common divisor of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39*27671\nAnswer: -1079169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102\/55 - 6509\/1760. Calculate the common denominator of -19\/52 and c.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((-10)\/15 + (-87)\/(-90)). Suppose q*f + 2871 = 19*f. What is f rounded to the nearest 10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31*v**4 - 1 - 26 - 82*v**4 + 5 wrt v.\nAnswer: -204*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 2*g + 20. Solve -4*l + 6 = 5*z, -4*l - 5*z + g = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 254 and (-20)\/25 + (-208)\/(-10)?\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10559 - -22903. List the prime factors of o.\nAnswer: 2, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z**2 - 15*z - 67. Let q(m) = 3*m**2 + 6*m + 34. Determine -2*j(o) - 5*q(o).\nAnswer: -5*o**2 - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - s - 3)*(-9*s**2 + 10*s**2 - 1 + 4).\nAnswer: -s**3 + 2*s**2 - 3*s + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (9 - 2) + 1 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - -3 - (1 - 6). Let b(m) = -m**3 + 7*m**2 - m + 9. Determine b(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01654 to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 1.36 (b) -1 (c) 2\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 13*j**2 + 260*j - 1078. Let x be v(4). Calculate the greatest common divisor of 8755 and x.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1 (b) 7 (c) -6 (d) -1 (e) 865\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 - -55.9. Let m = 804 - 806. What is the closest to p in m, 0, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 2*n + 1165. Let i(v) = v**2 + v - 1165. Let b(a) = -2*g(a) - 3*i(a). Is b(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-711.\nAnswer: -142.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 87613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 + 3. Let r(o) = -796*o + 796*o - 5 + 3*o**2. Let g(x) = -x**2 + 5*x - 3. Let s be g(5). Give s*r(d) - 5*m(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.619 - -0.319. Let f = z + 14.2. What is the nearest to f in -0.1, -0.9, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8124, 8120, 8114, 8106?\nAnswer: 8096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3452895 - -4?\nAnswer: -3452891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -26493, 21 in ascending order.\nAnswer: -26493, -4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.181 + 0.181. Which is the third smallest value? (a) l (b) -0.2 (c) -5 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/13046 and -32\/23841.\nAnswer: 311029686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**3\/7 - 38*c**2\/7 + 16*c\/7 = 0. What is c?\nAnswer: -8, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (301 - 407 - 1012)*(3*z - 5*z + 0*z).\nAnswer: 2236*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/3)*m*m)**(-8\/17)\/(m**4\/(m*m**(-3\/7))) assuming m is positive.\nAnswer: m**(-1616\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -1\/7, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 691.6158 decades in centuries?\nAnswer: 69.16158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 185431 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3411403 is divided by 1092?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 45 - 48 = x, -5*f - 85 = -5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1895172724558 less than -4?\nAnswer: 1895172724554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 2. Find the third derivative of s**2 + 2*s**5 - 8*s**l + 3*s**2 wrt s.\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1257, -4711, -10375, -18249?\n\"Answer: -1105*x**2 - 139*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 38*k**3 + 7*k**2 + 11*k - 35. Is c(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9755.464 millennia in years?\nAnswer: 9755464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*m + 16*m + 10*m + 15 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kok when three letters picked without replacement from {o: 4, m: 1, h: 2, k: 10}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1355622.\nAnswer: 2, 3, 101, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111100010100010 - -100100?\nAnswer: -1111100001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -25*v**5\/3 + 280*v**4\/3 + 87*v**3 - 232*v**2\/3 - 236*v\/3 - 16 = 0.\nAnswer: -1, -2\/5, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 7*h - 35. Calculate q(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n - 4*b + 26, -2*b = 2*n - 16. Suppose -2*u + u + 2*m - 8 = 0, n = 4*u - m. Solve 3*i = u*i - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 5*f + 5. Let y be u(-6). Suppose -37 = 3*p + 2*p + 2*t, -4*t = -4*p - 24. Let m = p + y. Put 3, m, -2 in increasing order.\nAnswer: -2, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1.52, 21, 5, -1062\/7?\nAnswer: -1.52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 6*b = -18, -w = b - 0 + 3. Let v(g) = g**2 - g + 37. What is v(w)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -165. Suppose 1002 = 3*x - o. Suppose 6*j - 444 - x = 0. List the prime factors of j.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r + 1. Let t be g(-2). Suppose 52 = s - t. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.8 + -0.4. Let r = 10 + g. Suppose 2*c - 3 = 2*y - 3*y, -2*y - 3*c + 5 = 0. Sort y, r, -3\/5.\nAnswer: -3\/5, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57885 is divided by 268.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 1. Is 0 - (-8)\/(k + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0186 less than -7538?\nAnswer: -7537.9814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 24 = -4*x - y, 5*x - 35 = -2*y. Let s(t) = 3*t - 13. Let r be s(x). Calculate the highest common divisor of r and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -4 (b) -0.1 (c) -29.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of w**4\/2 - 11*w**3 - 63*w + 53. Differentiate q(h) wrt h.\nAnswer: 6*h**2 - 66*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + 3*(3 + -2). Suppose -5*d = -15, -24 = j*v - 8*v - 4*d. Suppose v*i - 419 = 535. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 7*g**2 - 6*g + 4. Let m be v(-5). Suppose q = -q - m. Let d be (-9)\/q*(-1 + 3). What is the closest to 0.1 in d, -2, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 311778, -0.0966, -1?\nAnswer: -0.0966","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2 = -2*m, -5*o + m + 7913 = 0. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 87 and -0.02 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.06 (b) 0.2 (c) 5\/6 (d) 0.04 (e) -3 (f) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/(-20))\/1*-107 and 107\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 403590 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6792 - -8384. Is j greater than 1594?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 x when four letters picked without replacement from {j: 7, x: 12}.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in -1\/6, -0.5, -5711, 0.2, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92 + -90. Suppose -5 = l*o - 13. Factor -o*q + 3*q**4 - 2*q - 118*q**3 + 124*q**3 - 3*q**2.\nAnswer: 3*q*(q - 1)*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5 = 0, -r - 16 + 6 = -5*h. Suppose -h*y - 4*p + 2*p + 79 = 0, -4*p - 31 = -y. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 1708.\nAnswer: 170.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*u + 62*u - 8 = 5*r + 114*u, -52 = 4*r + 3*u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 16401.0428 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1773, 10, 3 in decreasing order.\nAnswer: 10, 3, -1773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrtz when four letters picked without replacement from tjzzzjzra?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*-1*(-4 + sqrt(252) + 1 - sqrt(252)))**2.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 3 (c) -5 (d) -0.04 (e) 0.2014\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18653 + 18655. Which is the smallest value? (a) q (b) 11 (c) -4\/7 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 128817396*s**3 + 2440*s + 1731 wrt s?\nAnswer: 772904376*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 967\/2196 + 1\/244. Let o(l) be the first derivative of 8 + 8\/9*l + h*l**2 - 2\/9*l**3. Factor o(u).\nAnswer: -2*(u - 2)*(3*u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-140)*27 + 8\/32)*(1346 + -1371)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -315 - 353d?\nAnswer: -3854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*n + 26*n - 5*b - 23, 4*n = 5*b + 32 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g + 8. Suppose -3*k + 17 + 7 = -5*c, -2*c - 3*k + 3 = 0. Let x be v(c). What is the derivative of -x*l**4 - 5 + 2 - 9 wrt l?\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435139426 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22778 and 79090097.\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 10 + 11 + 4*o - 21. Let g(q) = q**2 + 2*q - 4. Let w be g(-5). Let f(r) = 5*r - 11. Let k(j) = -j + 2. Let a(i) = w*k(i) + 2*f(i). Determine p(a(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100*0.11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-324)\/(-2040))\/(2\/(-55)) - 12\/(-102)?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 142351710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 36, 5, 13 in decreasing order.\nAnswer: 36, 13, 5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 884382, 884395, 884408, 884421, 884434?\nAnswer: 884447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61 and 558821?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(13) + 0)**2*-1.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2887907206.\nAnswer: 2, 1443953603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 207 and 1816.\nAnswer: 375912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 42984, 42987, 42992, 42999, 43008, 43019?\n\"Answer: x**2 + 42983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7514 and 556478.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -462 + 511. Let y be ((-21)\/n)\/((-15)\/130). Is y bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 696 = -4*w. Suppose 5*m = 3*q + w, -146 = -4*m - 2*q + q. What is the greatest common factor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 1. Let u(n) = 2*n + 4. Let c(q) = -2*u(q) + 7*y(q). Let h(t) = -t. Suppose -136 = s - 140. What is s*h(j) + c(j)?\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 12914*j - 5908574. What is y(475)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.93 and 256.12.\nAnswer: -238.1916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 w when two letters picked without replacement from {w: 2, i: 10, l: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/14 and 305\/(-30)*6\/26.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1165*k = 1185*k - 180 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 379241*v**2 - 379230*v**2 - 83 - 389 as s*v**2 + h + b*v and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 5 + 5)*(-3*w**4 - 4 + 4) + (1 - 2 + 4)*(-7*w + 6*w**5 + 7*w).\nAnswer: 15*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -439850 divided by -2.\nAnswer: 219925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*n - 2619 - 4326. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 9, -f - 3*f - 3*g = -1267. Let x = -4149\/13 + f. Put x, -1\/9, -2 in ascending order.\nAnswer: -2, x, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/((-1125)\/2040) + 1\/5. Let b(c) = 3*c + 72. Let v be b(m). Let r(d) = 13*d**3 + 4*d - 17. Let h(w) = 3*w**3 + w - 4. Calculate v*h(f) + 2*r(f).\nAnswer: -f**3 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 389, 373, 339, 281, 193, 69?\n\"Answer: -h**3 - 3*h**2 + 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 898484?\nAnswer: 2, 17, 73, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2426 + -4?\nAnswer: -242a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2280 = 454*h - 452*h. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -16*f. Let z(s) = 18*s. Calculate z(h(c)).\nAnswer: -288*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/40 and -97\/5830.\nAnswer: 23320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2816.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4626 - 3198. What are the prime factors of a?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 7\/43, -0.69, 3\/4?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -6055, -9 in increasing order.\nAnswer: -6055, -9, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 54.6 (b) -5 (c) -0.3 (d) -29 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -232*l - 15439 = -123*l + 198*l + 832 for l.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 244 * 0.0169\nAnswer: 4.1236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 158863464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**3*x**3 - 6*l**3*x**2 - 892*l*x**3 + 27*l - 4*x**2 wrt x.\nAnswer: -6*l**3 - 5352*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 4*o**2 + o + 1. Suppose 0 = -5*k - 14 + 44. Suppose -5*x + 2*x = -k. Give n(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -20 (b) 0.05 (c) -2\/11 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010101101011 (base 2) to base 6.\nAnswer: -143151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59016593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**4 + 54*n**3 + 63*n**2 - 564*n - 576 = 0.\nAnswer: -16, -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-4)\/((-16)\/2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/18 - 164\/(-9). Let k = -17 + p. What is the highest common divisor of 3 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -126 + 123. Let p(u) = -u. Let q(z) = 14*z + 2. Let s(i) = -22*p(i) - 2*q(i). List the prime factors of s(b).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6912.22545 - -6912. Let s = j - -0.37576. Let r = s + -0.15. Round r to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15419 + -15419.000006241. Round x to 7 dps.\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 82716 and 624?\nAnswer: 4301232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 36*l**2 + 590*l + 38. What is r(-13)?\nAnswer: 649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2021, -2\/97, -7?\nAnswer: 2021","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m - 30 - 30 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54450 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**3 - o**2 + o - 43. Let t be i(-7). Let s = 930 - t. Solve -2*j + 3*v - 1 + 3 = s, 5*j + 5*v = 30 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213854, -427701, -641546, -855389, -1069230?\nAnswer: -1283069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18004 is divided by 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1459027403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 760454.4 millilitres in litres?\nAnswer: 760.4544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 - 3*q**2 + 5*q**2 + (-2*q + 3*q + 0*q)*(-2*q + 0 + 0))*(2*q + 0*q + q).\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*m - 12. Let k(l) = 108*l - 4. Let j be k(m). Suppose 8*h = 7*h - j. Round h to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*h + 10 = -44*h. Is 166\/(7\/((-105)\/h)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 23*m**3 - 17*m**2 - 43*m - 36. Calculate u(-3).\nAnswer: -681","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7*a**2 + 15*a - 1. Let f(c) = 20*c**2 - 43*c + 4. Let o(h) = 17*d(h) + 6*f(h). Let r be o(4). Solve 4*z - 19 = -r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d + 16?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -462 + 464. Let o(f) = 2*f**2 + 31*f - 65. Let g be o(u). Solve -5*s - g*n = 5, 3*s + 2*n - 3*n - 5 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*f + 60, -3*f - 4*m = -11 - 35. Suppose 4*z - 45 - 7 = 4*n, 5*z + 3*n = 25. Suppose -z*t + f = -3*t. Is 2 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 27 and 739367703?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9100268?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, j: 4, l: 3}. What is prob of picking 2 l and 1 m?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.05, 3\/7, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5534*q + 129296 = 1989*q - 615481 for q.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**0)**(-14)*((c\/c**0)\/c)**20*(c*c**(1\/4)*c)**(39\/7)*c**(1\/6)\/c**(-3) assuming c is positive.\nAnswer: c**(143\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - 30004?\nAnswer: -30016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - (1 + sqrt(2299))) + -5 + ((sqrt(2299) + 0)*1)**2 - (((sqrt(2299) + -1 + sqrt(2299) - sqrt(2299)) + 2)**2 - -4*sqrt(2299)*2)) + -3.\nAnswer: -110*sqrt(19) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*t + 3*t. Suppose -t*y + 21 = -19. What is the remainder when 27 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j - j + 3*j)*(-164 + 326 - 168) in the form n*j + u and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -7076*a - 242*a - 2614*a - 3491*a as v*a + u and give v.\nAnswer: -13423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8813 + -8792. Which is the fourth smallest value? (a) 0.3 (b) s (c) -1 (d) 55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*b + 135*b + 35*b = 1404 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14227 or -441012\/31?\nAnswer: -14227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 650747680 to the power of 1\/2, to the nearest integer?\nAnswer: 25510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*d**2*s**2 - 245*d**2*s - 140*d*s**3 - 7*d*s wrt s?\nAnswer: -20*d**2 - 840*d*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -19, 0.5, 0.02, -0.15, 7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60 + 92. Suppose -2*r - 13 + 4 = -5*b, r + 3*b = 12. Suppose d = r*t - t. What is the remainder when t is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 4 + 0 - 7. Let c be ((-3)\/b)\/((-3)\/6). Is (c + 3 + 111)\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 80.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*f**5 + 2*f**4 - 44*f**3 - f**2 - 1717 wrt f?\nAnswer: 1440*f**2 + 48*f - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 11*i - 550 = 0. Sort -5, -3, i in descending order.\nAnswer: -3, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 4*n**2 - n**3 - 6*n + 2*n - 27 - 3*n + 4*n. Is 44 a factor of r(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 64 + 8da?\nAnswer: 94e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 19*s**2 - 21*s - 19. Let p be l(-20). Let o be p\/(-3) + 25\/3 + -3. Let y = 1 + 0. Solve 0 = -3*n + 5*c - 18 - 11, o*n - y = -4*c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.5, -5149?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g**5\/5 + 12*g**4 - 20*g**2 - 24*g\/5 = 0 for g.\nAnswer: -1, -1\/4, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(77) - (sqrt(77) + 1*sqrt(77))))\/sqrt(7) - (-2*sqrt(176) - (sqrt(539) + 1)))**2.\nAnswer: 22*sqrt(11) + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -117*y - 229. What is the tens digit of m(-79)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8577 + 3984. Let j be -5 - 4\/(3672\/h). Which is bigger: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4421 + 10*s + 4421 + (3 - 3 - 1)*(0*s + 0*s - s))*(-4*s - s + 6*s).\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 17*k**2 + k + 4. Let p(o) = -17*o**2 - o - 5. Let b(r) = 4*p(r) + 5*u(r). Let s be b(-1). Solve -18*w**2 - 8\/3 - s*w + 40\/3*w**3 = 0 for w.\nAnswer: -2\/5, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 times -0.044\nAnswer: 1.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - 1. Let g be x\/20 - (-378)\/(-10). Let j be g\/3*(-6)\/4. Solve -3*d + k = -j, 3*d - d = -2*k + 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/7 - 14449560*i**2\/7 + 2064223*i.\nAnswer: -i*(i - 1)*(i + 14449561)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-10)\/(260\/143)*(-135)\/(-30)\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**18*q)\/q)**(5\/3)\/((q\/(q\/(q*q**(-3\/23)*q*q)))\/(q\/((q\/(q*q\/q**(-3\/2)))\/q*q))) assuming q is positive.\nAnswer: q**(1409\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 18, 14, -0.3, 3, -370, -11, -4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 453.705 kilograms to micrograms.\nAnswer: 453705000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1877 + -1893 + (-1 - 0) + 73\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-55))\/(6886\/(-1565)*(-36)\/(-44)).\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zjzjjjzj?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bvjcbjbbbbvrjjvbrvbb. Give prob of sequence cjcr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gh when two letters picked without replacement from {g: 4, h: 10}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*d = 242 + 185 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + q**2 - 1. Let b(r) = 4*r**3 + 18*r**2 + 13*r + 23. Let p(y) = b(y) - 3*k(y). Let m be p(-14). Let l = m + -41. What is l rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12020312 - -11?\nAnswer: 12020323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b + 2*b - b + 0*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 - 35 + 35 + 15*k**3 + (k**3 + 0 + 0)*(-3 + 2 + 2).\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7908 by 1318.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11561810 divided by 5?\nAnswer: 2312362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, -2\/13, -27, -1 in increasing order.\nAnswer: -27, -1, -2\/13, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1985462?\nAnswer: 2, 19, 52249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7*v**2 + 2*v - 2. Let n = 3 + 1. Let g(q) = 240*q - 467*q - 5 + 14*q**2 + 232*q. Let w(d) = n*g(d) - 10*u(d). Let t(i) = -2*i. What is t(w(k))?\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2078161730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3103753 equal to -3103753?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(1100) + -6*(1 + sqrt(1100)) - sqrt(1100))**2 + (sqrt(1100) - (-2*sqrt(1100)*-4 + sqrt(1100))**2) + sqrt(1100)*-1 + -1)*1.\nAnswer: -49461 + 720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 13734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/36*2)\/((-514)\/(-5549658)*-61)?\nAnswer: 59\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 20 = -w, 0*h + 5*h = 3*w - 60. Let y(a) = w + 12 + 4*a - 6 + a**2. List the prime factors of y(-13).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 8*f**2 + 9*f + 2. Let s be (6\/(-5))\/(2\/(-5)). Suppose 0*h + 27 = s*h. Is x(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -443.19 - -443.189955041. Round s to six decimal places.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1542*m + 1560*m - 3182*m as v + u*m and give u.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16418, -31058, -45698, -60338, -74978?\nAnswer: -89618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-12\/17)\/c*c*c*c*c\/(c**24*c) assuming c is positive.\nAnswer: c**(-386\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -1 - -2) + 2. Solve a = 4*t - 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6739 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364663 is divided by 464.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00104091691 rounded to 5 decimal places?\nAnswer: 0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152860 + 104*w - 103*w - 156618.\nAnswer: w - 3758","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 12*l = -4774. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 71.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4932285 to the nearest integer?\nAnswer: 2221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 7. Let w be ((-1)\/2)\/(0 - v). Factor 0 - 1\/2*n - w*n**2.\nAnswer: -n*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -3. Let w(f) = -2*f**2 - f - 1. Determine w(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**11\/(w\/(w*w*(w*w\/(w*w\/(w\/((w*w**(-1\/23)\/w*w*w)\/w*w)*w*w)))\/w*w)))\/(w*w**(-1))**(-4\/9) assuming w is positive.\nAnswer: w**(300\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-4)\/n)\/(n\/n**(-3\/4)))**11\/((n**(2\/5)\/((n**2\/n*n)\/n*n*n))\/(n**(1\/4)*(n**(-3)\/n)\/n)) assuming n is positive.\nAnswer: n**(-382\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 42*x**2 + 61*x - 28. Let l be t(-44). What is the common denominator of (-716)\/l + (-6)\/15 and -65\/8?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5523253228 + 1.15?\nAnswer: -5523253226.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 385.7319037 and 85?\nAnswer: 300.7319037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -407753 and -9.9766.\nAnswer: -407762.9766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1862, -1848, -1846, -1862, -1902?\nAnswer: -1972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -15 - -2)\/1. Let j be (-12)\/2*(-8)\/c. Suppose -q - j*r = -32, 4 = 5*r - 21. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 - 7*x**2 - 7*x + 11. Let o be f(7). What is h in 10 - 5 + 10 + o*h - 303*h - h**2 = 0?\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4029 and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, -1\/4, -5\/4, 8\/7?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - -4)*(-1 - 4). Suppose 0 = -x*f + 15, -7*f + 3*f = -5*l + 8. Solve -l*q + 3*v - 3 = 0, -3*q - 3*v + 2*v = -14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9105593 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 36*(-3 - 14\/(-4)). Suppose -w = 0, p + 2*w - z = -w. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6116 - 6113. What is the greatest common divisor of i and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 7*x - 2. What is the least common multiple of 5 and f(-5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46575297*c**4 - 262*c**2 + c - 29380 wrt c.\nAnswer: -1117807128*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-1\/4))**(-2\/3)*(o\/((o*o**0)\/o))**34)\/((o**(-8)*o**(-3\/7)\/o)\/(o**(-1))**(4\/23)) assuming o is positive.\nAnswer: o**(40979\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/16 and -99\/934?\nAnswer: 7472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -274 + 307. Solve -g = 28*o - 39*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 7:36 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*u + 56*u = 168. Calculate the remainder when 566 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) 1\/171 (b) -2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 1040*k + 25546. Determine h(-24).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 7. Let r be j(9). Find the third derivative of -2 + 18*d**2 + r + 145*d**5 - 156*d**5 wrt d.\nAnswer: -660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108*o**5 + 9*o**4 - 3484*o**3 + 26*o**2 + 380*o + 100?\nAnswer: -6480*o**2 + 216*o - 20904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.447 rounded to one decimal place?\nAnswer: 34.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 932 and 1094634.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/15 - 376*i\/15 - 896 = 0 for i.\nAnswer: -140, -48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*((-1 - -1) + 0). Suppose -y = -c*y + 1. Let b(d) = -d + 4. Let j be b(5). Is y at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w - 7*w + 2*w + 6 + 3*w. Does 11 divide g(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3655*f**3*r**3 + 2*f*r**3 + 17851*r**3 wrt f.\nAnswer: 10965*f**2*r**3 + 2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-10) - 166\/(-10). Let y = i + -19. Put y, -5, 8 in decreasing order.\nAnswer: 8, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 2*j**2 + 4*j + 21. What is the remainder when 112 is divided by a(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 136*r + 105*r - 240*r. Let b be 1\/1 + 0 - -1. Let a(v) = -3*v**2 - 6*v**b - v**2. Give a(g(w)).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 3*n - 76. Let i = n - 42. Calculate the remainder when 18 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 674442517 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -3. Suppose 2*v + 3 - 11 = 0. Sort v, l, -3 in descending order.\nAnswer: v, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -514.\nAnswer: 1\/514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 - (6 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, b: 2, n: 7}. What is prob of picking 2 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -132234 (base 5) to base 9\nAnswer: -7260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 5, -2\/11, 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -11*d - 2. Determine i(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p - 7. Let d be b(-7). Suppose -d = -3*x + 3*t - 46, 0 = -2*x + 5*t - 14. Let j = -1 - x. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04 - -0.06. Let q = 1.02 - j. Which is smaller: q or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -7918.\nAnswer: -1583.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2067.\nAnswer: 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 37 + 25 = 0. Let x(s) = 4*s**2 + 5*s - 1. Let i(w) = -21*w**2 - 26*w + 5. What is t*i(g) - 11*x(g)?\nAnswer: -2*g**2 - 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9769463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(891) - (sqrt(891) + -2)) + sqrt(891))**2*-4)*4 + 1.\nAnswer: -14323 - 576*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 4*v = 3. Let u = -11633\/7 - -1666. Find the common denominator of u and 75\/4 + v\/(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 7 = 1, -18 = 2*c - 3*p. Which is smaller: 2\/18133 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94600200 a multiple of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 4:23 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85197 divided by -28399.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6347 is divided by 899.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 84, 73, 58, 39, 16?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - s**2 + 4*s - 3. Let q be g(2). Let r(n) be the second derivative of -n**3\/6 - 5*n**2 - 43784*n. Determine r(q).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1))**(-42)\/(u**(1\/4)\/u)**27)\/((u*u*(u**(-3\/7)*u)\/u*u**(1\/11))\/(u\/(((u\/(u*u**(1\/2)))\/u)\/u))**(2\/13)) assuming u is positive.\nAnswer: u**(244749\/4004)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 232 + -228. Solve -5*x + 0*x = -z*l + 4, 0 = 4*x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 + 71. Suppose -8*r + 5*r = s. Is (-1790)\/(-14) - r - 4\/(-28) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168105.\nAnswer: 3, 5, 7, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396469?\nAnswer: 211, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3054855, -2 in decreasing order.\nAnswer: 1, -2, -3054855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 + 47. Let o(l) = -11*l + 1. Let u be o(-3). Suppose -p - 55 - 13 = -2*k, -u = -k + 4*p. What is the remainder when k is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 17*j - 624 = 0. Suppose s - 81 = -j. Let r(o) = o**3 - 6*o**2 - o + 7. Let a be r(6). Calculate the greatest common factor of s and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 208 - 327. Let w = p + 124.28. Round w to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -234*s**3 - 590*s**2 + 22705716*s wrt s?\nAnswer: -1404*s - 1180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50378.1 + -57787. What is v rounded to the nearest 100?\nAnswer: -7400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*(21 - (-520)\/(-60)). Put f, -17, 2 in decreasing order.\nAnswer: 2, -17, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-2)*2 - -1. Suppose 4 - 7 = -l. Suppose 54 = x*k + l*k. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 2*o**3\/3 - o**2\/2 - 13*o. Let a(d) = d**2 - 5*d + 1. Let x be (10\/4)\/((-165)\/(-198)). Give x*k(f) + 2*a(f).\nAnswer: 2*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -338.33461+-0.1\nAnswer: -338.43461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-874)\/(-76))\/((-2)\/4)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 + 986 - 1983 + 997.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -42, -6 in descending order.\nAnswer: 4, -1, -6, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 17*i - 13. Let t be q(-18). Let u(n) be the third derivative of -1\/60*n**t - 2*n**2 + 0*n**3 + 0*n + 0 + 0*n**4. Let r(l) = -l. Give u(r(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 14. Suppose 5*w + 4*v = 24, -3*w + s = 2*v - 0. What is the remainder when 14 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3543603 >= -31892426\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.6 - -3.7. Let b = x + 0.9. What is the biggest value in 0.1, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*g + 10037 = 336*g + 337 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 87*k**2 - 606*k - 42. Determine r(7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23036 or -23037?\nAnswer: -23036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*c + 12*c - 49*c - c + c - c + (2*c + 2*c - 2*c)*(-1 - 5 + 4) + 0*c + 3*c + 0*c as f + j*c and give j.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -356743903?\nAnswer: -4\/356743903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 8:02 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68525578 divided by 1663.\nAnswer: 41206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 245 = p. Let a(u) = 6*u**3 - 8*u**2 - u - 7. Let o be a(2). Calculate the greatest common factor of p and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275414718?\nAnswer: 2, 3, 45902453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 143*z**2. Let k(d) = 22*d**2. Calculate -33*k(o) + 5*p(o).\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16 - d?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3171 + 1799. Let j = c - -1925. What are the prime factors of j?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3260552*q - 854*q**3 + 3260552*q.\nAnswer: -854*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 c when two letters picked without replacement from {u: 1, c: 1, k: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11119.\nAnswer: 11119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -98 + 153. Let y = l - 49. Suppose -108 = y*r - 618. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 76122.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 + 59 - 21*x**2 + 4*x**2 + 14*x**2 + 0*x**2 in the form k + c*x**2 + t*x and give k.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*m - 10*m + 8*m**2 - 4*m**2 + 0*m**2 + 5*m**2 + (1 + 3 - 1)*(2*m**2 - 4*m**2 + m**2).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 8*r**3 + 164*r**2 - 78*r + 112. Determine f(-21).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 16 - 7*y**2 - 4*y**2 - 10*y**3 - 5*y**2 + 4*y**3 - 66*y. Let n = 2960 + -2957. Let g(i) = -i**3 - 3*i**2 - 13*i + 3. Calculate n*w(c) - 16*g(c).\nAnswer: -2*c**3 + 10*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1081 (b) -2 (c) 0.5 (d) 0.1 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 61\/2 of a gram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18244099323 and 0.106.\nAnswer: -18244099322.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 14\/9 of a hour?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5674 + 12647. Is 20 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 3*w - s = 772, 5*s + 262 = w. Find the second derivative of -233*o + 88*o - w*o**3 + 257*o**3 + 0*o**4 - 117*o**4 wrt o.\nAnswer: -1404*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1111035329*j + 3*j**3 - 370345110*j + j**3 - 370345112*j - 370345107*j.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpzc when four letters picked without replacement from {i: 2, z: 2, y: 1, p: 3, c: 2, m: 4}?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*x**2 + x**4 + 4*x**4 + 4*x**4 - 2*x**4 - 36*x - 21*x**3 - 4*x**4.\nAnswer: 3*x*(x - 3)*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-3 - -32) + -3. Suppose 0 = -4*v - 2*h - 583 - f, -2*v = 4*h + 320. Let s = -56 - v. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1782?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 297510\/50 + 12\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 8, 0, -288220?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(-2\/7)))**(7\/3)\/(y*y**(-13)*y**(-6\/11)))**(-2\/3) assuming y is positive.\nAnswer: y**(-784\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 100\/308 + 3\/(-21). Which is the nearest to -5? (a) -2\/11 (b) -3 (c) z (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.07 + -2.93. Let t = 0.01825 - 0.71825. Which is the fourth biggest value? (a) v (b) 1 (c) t (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.454 - -0.054. Which is the closest to 2? (a) -2\/9 (b) i (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2\/25))\/(v*v**(2\/47))*(v**0)**(8\/3))**(-7) assuming v is positive.\nAnswer: v**(-308\/1175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.968 - 2.96. Let g = q + 0.028. Let y = -8 - g. Is y at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 78.6.\nAnswer: 0, 2, 78.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 12 + -10 + 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21a2 (base 12) in base 7?\nAnswer: -13565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -246\/25?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15000)\/(-4*4\/880). What is t rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 + 1776*q - 1779.\nAnswer: 3*(q - 1)*(q + 593)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4*b - 20, -4*j + 12 = b - 1. Solve -2*d - j*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -5018.\nAnswer: -501.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2980?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 89 - 55 = 0. Let d be 372\/28 + 6\/(-21). Solve 2*f - 3*h - a = 5*f, d = f - 3*h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 2 + 30. Let i = -13 + g. Find the common denominator of 153\/i - (-1)\/(-2) and -99\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(3\/10)\/c)\/c)**46*c*c**(-34)*c**(7\/3) assuming c is positive.\nAnswer: c**(-1633\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/103 and -34\/103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 9*u - 22. Let h(z) = 21*z. Give y(h(q)).\nAnswer: 189*q - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63934155.\nAnswer: 3, 5, 97, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4139 is divided by 3761?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 196656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-35))\/((-58)\/30 + 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -4)\/((-1)\/2). Let z be (24\/30)\/(99\/(-105) - -1). Let p(y) = -3*y - 23 + 2 + z. Let f(x) = -4*x - 8. What is l*f(g) + 5*p(g)?\nAnswer: g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*m = -155, -5*w + 3*m + 172 = -200. Is w at least as big as 759\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/117648 and 31\/137256.\nAnswer: 823536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 2*o**2 - o + 12. What is z(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**9\/60480 - r**8\/4032 + r**7\/840 + r**6\/120 - 2*r**5\/15 - r**2. Let f(d) be the third derivative of i(d). Calculate f(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 2580?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -3\/11747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (5\/18)\/(160\/(-96))*154\/11\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34740 and 14580.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - 6. Let i be b(4). Let d be (-31)\/(0 - (3 + i)). Suppose -4*l = -81 - d. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -6. Let c(t) = 2*t**3 - 2*t**2 + 3*t - 3. Calculate the remainder when 20 is divided by c(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v + r - 11 = -13*v, 19*v + 40 = 65*r - 63*r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.06 (b) -11 (c) -0.1 (d) 5 (e) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2. Let f(v) = 361*v**2 + 0*v + 0*v - 358*v**2. Give d(f(i)).\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 296715*v**2*y**3 + 5*v**2*y**2 - 860*v**2*y - 11*v*y**5 - 100*v*y**2 - y**2 wrt y?\nAnswer: 1780290*v**2 - 660*v*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.32 - -70.68. Let z = u - 72.06. Round z to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32*(-34)\/(-1768)*(-2)\/8\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*n - 38*n - 28*n - 29*n + 141*n - 29*n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2153 * -0.5.\nAnswer: 1076.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 5, -6, -5, -8, -18.\nAnswer: -18, -8, -6, -5, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/40*-5)\/(3\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 439.6999991105 - 439.7. What is h rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -59, 1\/3, -2\/9, 0.3, 0.5, -3, -67?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3.78*-4562\nAnswer: 17244.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(270)\/sqrt(10) - sqrt(27))\/sqrt(9) + -3)*-1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2260)\/(-339))\/((-5)\/6)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -1\/15*m**5 + 1\/120*m**6 - 1\/3*m**3 - 1\/6*m**4 + 0*m + 0 - 2*m**2. List the prime factors of v(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 1450725*x - 5802886. What is i(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**5\/15 + 3*b**2. Let w(a) = -a + 3. Let y(p) = 3*p - 8. Let u(o) = 8*w(o) + 3*y(o). Calculate d(u(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -4, 515, -0.0015, 27 in descending order.\nAnswer: 515, 27, -0.0015, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 27*v. Let a be r(27). Put 4, a, -3 in increasing order.\nAnswer: -3, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -6, 2.25, -1, -2\/7, -4\/3, -2\/795?\nAnswer: 2.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-four fifths of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000882 to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1162, 1689, 2220, 2755?\nAnswer: 3294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = o - 9, 3*o - 12 = -0. Let j = 31 - m. What is the remainder when 94 is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 299 = 4*b, 2*b - 5*i + 130 = -57. Let m = 90 + b. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.615 - -0.355. Let s = m + -1.12. 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: Calculate the highest common factor of 86016 and 61026.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 - 5*i**2 - 3*i - 2. Calculate the remainder when p(-3) is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + (2*sqrt(112))**2 + sqrt(112) - (sqrt(112) - ((sqrt(112) + 1)*-4)**2)).\nAnswer: 256*sqrt(7) + 4512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -1\/18 (b) 6 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119871270?\nAnswer: 2, 3, 5, 587, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*t - 18 = 53*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -33532 (base 6) to base 15\nAnswer: -160b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433 is divided by (-4976)\/(-12) + 6\/27*-3?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1752694 to the power of 1\/2, to the nearest integer?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**7\/210 - g**6\/30 - 11*g**5\/60 - g**4\/4 + 662*g**2. Let w(l) = 0. What is l?\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0)**(-9\/5)\/(g**(-4)*g*g**(-2\/13)*g) assuming g is positive.\nAnswer: g**(28\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -120*g + 845. What is t(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 7*v = 279, 4*u + 6*v - 488 = 2*v. Calculate the greatest common factor of u and 160.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 258.6 - -1058386.\nAnswer: 1058644.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 53*i - 145. Calculate b(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15354.6 - 15370.60025. Let f = i + 16. Round f to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m + 66. Let l be h(-9). Suppose -9*d + 801 = 3*a - 4*d, 4*d = -l. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and -3 + (-7)\/(42\/(-426)).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.068 - 27.932. Let y = v + 75. Let s = 45 - y. Which is the third biggest value? (a) -4 (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (3 + -18 - -10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1080 = -4*r + 6*r - 42*r. Which is the nearest to 0? (a) -0.4 (b) -15 (c) r (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, l: 1, i: 1, d: 1, b: 3}. Give prob of sequence li.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 54. Let r = u + 30. Suppose 5*p = -4*m + 79 + 15, 4*m + 16 = 0. What is the greatest common factor of r and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*d + 7. Let k = -8 + d. Let a = k - -11. What is the remainder when 19 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73633478?\nAnswer: 2, 37, 197, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*((-17 - -22) + (-124)\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3*w - h - 21, 47 = 4*w + 3*h. Let c = w + -6. Solve 2*g - 4*k = -4, g = 4*g - c*k + 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 14717\nAnswer: 13\/14717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 142, 182, 204, 202, 170, 102?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7b9c28 + 1?\nAnswer: -7b9c27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -115*w**2 - 1. Let k(c) = 42*c**2. Give k(r(o)).\nAnswer: 555450*o**4 + 9660*o**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7673657987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7893*w - 9688. Calculate q(1).\nAnswer: -1795","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*3\/((-18)\/(-15)). Let j(s) = -7*s - 4 - 6*s**2 + 0 - 10*s**3 + 9*s**3. What are the prime factors of j(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 9*a**2 - 2*a + 1. Suppose -3*d = -2 - 13. Suppose 0 = -6*u + u + d. Let z be j(u). Calculate the highest common factor of z and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28772 - 28769. Solve g*y = -1038 + 1044 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 s when two letters picked without replacement from ssh.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45844 is divided by 112.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -195909, -391818, -587727, -783636, -979545?\n\"Answer: -195909*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 b when two letters picked without replacement from bwwvwvwbrwvwwwyry.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 5) + (39 - 36)*(-2 - -1). Let g = 1.1 + -3.1. Sort g, -190, p in descending order.\nAnswer: g, p, -190","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65\/212502 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-5 - 205\/(-45)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 8*h**2 + 11*h + 30. What is the smallest common multiple of z(-9) and 112?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**5\/30 - 6*l**2. Factor j(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = k - 4*k. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 divided by 52992?\nAnswer: -5\/2944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 bigger than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/13 (b) -0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -177161681*g**2 + 4297170.\nAnswer: -354323362*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**3 - z**2 + 4*z + 4. Let l be v(-1). Suppose 6 = l*k, k - 48 = -5*d - 3*k. Solve 2*t = -u - 3*u + 8, 0 = -2*t + d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 15. Suppose t*f - 5 - 1 = 0. Solve f*p + 23 = -2*x, 5*p = 4*x - x - 13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124181437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 49174.7 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*o + o + 0*o)*(-4 - 3*o - 1 + 1) - 2*o**2 - 2*o**2 - 4*o**2)*(0*o**2 - 2*o**2 - 6*o**2) in the form s*o**3 + x*o**4 + v*o + p + n*o**2 and give s.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.00897 decades to millennia.\nAnswer: 0.6400897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-5) - (-336)\/30. Suppose -1 + d = 2*p. Suppose 4*w + 3*u - 89 = -w, -p*w = 5*u - 85. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.2 + 12.3. Let d = f - 25. Let y be (2\/7)\/((-5)\/(-7)). Which is the nearest to y? (a) -2 (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q - 2 - 2*q + 2*q. Let c(d) = -d + 49. Let x(a) = -29. Let l(t) = -3*c(t) - 5*x(t). Determine 6*l(v) - 5*u(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ac when two letters picked without replacement from {c: 1, a: 14}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37)\/(-222)*121 - 18?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.11, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 10) + (-2 - (-5 - -3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, f: 2, k: 7, u: 7, l: 1}. What is prob of picking 1 u and 1 f?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.097, -0.5, 2026, 13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174\/4 - (-4)\/8.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**2 + 3*n**2 + 2417*n + 765*n - 11*n**2 + 8*n**2 to the form p + r*n**2 + g*n and give g.\nAnswer: 3182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (7 - 0)) + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence suu when three letters picked without replacement from hhuusvvuhur?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493 is divided by 237?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53304*f**5*v**2 - 6*f**3*o*v - 2*f**2*o*v**2 - 10*f**2*o*v + 3*f**2*v**2 - 5*f**2 - 107*o*v wrt f.\nAnswer: -3198240*f**2*v**2 - 36*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 119\/6 - 229\/12. What is the closest to 0 in 4\/5, o, 4, 34?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 - 68*j**2 + 241*j - 32. What is r(30)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 35667, 35820, 35977, 36138?\n\"Answer: 2*i**2 + 147*i + 35518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 209*i**2*k**3 + 8839*i**2*k**2 + 90*i**2*k + 8*i**2 - 2609*i*k**3 + 196*k**3 - 3 wrt k?\nAnswer: 1254*i**2 - 15654*i + 1176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534 is divided by 478.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 9:09 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1030519944?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72584103 is divided by 70470?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 - 128 = -5*d. Let a(u) = 2*u. Let s be a(1). Suppose 4*o = -s*j + 5 + 13, 0 = -4*o + 12. Solve i = -5*l - 29, -5*l + 6 - d = j*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10 - (-94 - (-3 + -6)). Let r(u) = 3*u + 1. Let l be r(1). Suppose 5*h - f - m = 0, -l*h + 2*h + 4*f + 30 = 0. Solve 4*a = a + h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 10 = v + 49, 6*q + 62 = 2*v. Put -1, q, 2, 3 in increasing order.\nAnswer: q, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96856?\nAnswer: 2, 12107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 - 16 = -4*a. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 414134 divided by 7\nAnswer: 59162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-2)*2)\/(4\/12). Suppose -4*y = j*y - 5*y. Put 2, y, 1 in ascending order.\nAnswer: y, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*g + t, 6*t + 7 = 5*g + 8*t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + t + 6 = 0. Suppose -s + 5 = t*g - 2, -2*s + 10 = 4*g. Suppose 0 = g*w - f - 6, -w + 14 = w + 3*f. Solve 2*z = -k, -2*k + 5*k = -w*z + 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 152742490 and 11?\nAnswer: 1680167390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 919525 is divided by 639.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 - 82. Let y be (-17)\/((-476)\/(-48)) + (-2)\/q. Let u(i) = 32*i - 10. Let t(c) = 13*c - 4. Let h(o) = -12*t(o) + 5*u(o). Determine h(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 5:37 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, -696.5, 5.468?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 82\/26 + (-490)\/3185. Let h(t) = 2*t**2 - 2*t + 3. Let g(b) = b**2 + b + 1. Give x*g(k) - h(k).\nAnswer: k**2 + 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 18 + 564 = 0. Is q*((-2)\/(-3) + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*x = y - 304, -4*y - x = -309. List the prime factors of y.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 10:39 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25*z - 156*z - 105*z)*(5*z**2 + 11*z - 11*z) to d*z**3 + r*z + q*z**2 + u and give d.\nAnswer: -1430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2528 + 0.2828. What is the closest to 2 in 2\/7, z, -3, -0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1634500 to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4\/87 + 1463\/348. Let l = t + -15\/4. Factor -1\/2*q + 0 + l*q**3 + 0*q**2.\nAnswer: q*(q - 1)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00039035 rounded to 5 decimal places?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 394302 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 130433 (base 7) in base 8?\nAnswer: 57246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vff when three letters picked without replacement from {f: 3, v: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 3*d**2 - 4*d + 2. Suppose 13 = -2*x + y, 4 = 2*x + 3*y - 3. Let a be h(x). What is the derivative of z + a*z - 2 - z wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 28, 24, 22, 22, 24, 28?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -16*b + 40 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**3\/2 + 285251*q**2\/2 - 1141017*q\/2 + 855765\/2 = 0 for q.\nAnswer: -285255, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 21 - 34 = -31. Let p = -3 + 5. Suppose 5*h - 15 = 5. Sort h, n, -4, p in decreasing order.\nAnswer: h, p, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13105\/15750 + 140\/(-168). Which is the nearest to 5\/2? (a) k (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*r + r. Suppose d = -r*y - 0 + 8, -3*y - 36 = -3*d. Suppose -558 + 495 = -9*j. What is the remainder when d is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/135 and -37\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from {s: 2, k: 2, z: 1, i: 14}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1666 is divided by 821?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 12 = -5*q, -w = -5*w - 4*q - 16. Let j = 0 - w. List the prime factors of j\/6 + 96\/9.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -13*u + 9*u - 9, b = u + 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1176 and 6714216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 225*w + 11 - 54*w - 11 to l*w + c and give l.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 150.\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 445 + -441. Suppose -i - 4 = -8. Solve 5*o + c*t - 5 = 0, 5*o + 3*t - 30 = i*t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2690 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15876 is divided by 31.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -144 divided by 6\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 6335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74203 is divided by 497?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -13502 not equal to -15459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 4 = -1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -13. Let a = -1 + i. Suppose 0 = -5*n + a + 15. Solve -j = n*j + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - 6. Calculate the remainder when 8\/b + (-40)\/(-6) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v - 5010 = -7*v. Let t = v + 6516\/13. Is -2 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351*z - 27 = -360*z. Let p(b) = 12*b**2 - 1. What is the lowest common multiple of p(-2) and z?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(-2)\/30*3 - 1. Suppose 2*h - 3*h = z, 5*i = 5*h + 795000. What is i rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -76*k - 39 - 61*k - 11*k**2 + 117*k - 14*k**3 + 15*k**3. Let i be m(13). Calculate the highest common factor of i and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -4*w**3 + 3820*w**2 - 45408*w + 135792 = 0?\nAnswer: 6, 943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174\/18*(-171)\/(-3)?\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17679*o - 270 = -17688*o for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (4 - (6 - 7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302*o**3 + 3*o**2 - 70603 - 3*o**2 + 70603.\nAnswer: -302*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10092908*n**3 - 4*n**2 + 4604642*n - 1 wrt n?\nAnswer: 60557448*n - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1185 = r - q + 99, 3*r + 4*q = 3237. List the prime factors of r.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*z + 4*z + 2*z)*(4*z + 3*z**3 - 4*z) to the form g*z**2 + r*z**4 + v*z**3 + a + c*z and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = j + 4*a, 5*a = 5*j - 41 + 6. Let b(l) = 2*l - 1 + j - 3. Determine b(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176612 and 201.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1883 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (12 - 8)) + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 0*n**2 + 0*n**3 + 1\/6*n**4 + 2*n + 1\/56*n**8 + 0*n**5 + 0*n**7 + 0*n**6 + 0. Find the third derivative of g(l) wrt l.\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -3) + 27 - 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 119362.16259 rounded to 0 decimal places?\nAnswer: 119362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 46*t - 14*t - 13 + 24 - 20*t - t**2. Determine x(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.7 - 9.858. Let z = h + 0.07. Let m = z + -4.912. Which is the second smallest value? (a) 0.1 (b) 0 (c) m (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*y - j, -2*y + 2*j + 0*j = -14. Let v(s) = -s**3 + 3*s**2 + 4*s + 1. Let x be v(4). Suppose y - x = m. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2125.863 + 2126. Let p = 0.163 + j. Let i = -0.7 - -4.7. Which is the fourth biggest value? (a) -0.5 (b) p (c) -8 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*n = -1667, 2*l = -4*n + 2260 - 592. Suppose -i - l = -5*i. Is i a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4229421 and 525.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47080 is divided by 9375.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 33 + 10 + 44 - 155 + 32.\nAnswer: -u - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -19*r - 2. Let s(x) = 9*x + 1. Let u(d) = 13*s(d) + 6*y(d). Let g be u(-1). Is g\/(-7) - (-282)\/42 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 3\/10*q**2 + 2\/5*q**3 - 19 - 6\/5*q - 3\/20*q**4. Factor u(k).\nAnswer: -3*(k - 2)*(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/5148 and 43\/25740.\nAnswer: 25740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15430 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: What is the remainder when 517065 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 7, 362 in decreasing order.\nAnswer: 362, 30, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 - 2)*(-1 + 4*n + 1) + 3 + 2*n - 3)*(-2 - 5 - 3).\nAnswer: 180*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 35*a = 4*k - 3*a - a + 10*a + 48, 229 = 25*k + a for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -639 in -2\/15, 1\/3, 4.74, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-42)\/(-4))\/((-129)\/(-4214))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2271*q**2 + 22*q - 22. Let y be j(1). Suppose -3*h + 6*h = y. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 99*k**8\/56 - k**4\/12 + 17*k**2\/2 - 6*k - 7. Find the third derivative of q(l) wrt l.\nAnswer: 11880*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12 and 2286551.6?\nAnswer: 2286563.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-21)*152656\/(-1504).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 9*o + 13, -397*u + 396*u + 3*o = -2 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1762939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + j - 1. Let r = 8 - 7. Let l be m(r). Solve u + l = -2*w + 6*u, -5*w = -4*u + 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3 (b) -4\/87 (c) -2\/1211\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 0) + 3 - 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -59560162, -59560161, -59560160?\n\"Answer: n - 59560163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -6.4. Which is the second smallest value? (a) -0.2 (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -506*r = -507*r + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**2 - 3*w**2 + 5*w**2)*(1 - 3 + 0)*(12 + 27 + 18) + 0*w + 0*w + 9*w**2.\nAnswer: 351*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -29*c + 20. Let n be 65 + 4 + -2 + -2. Let k = 62 - n. List the prime factors of r(k).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 11:42 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*k*u**3 + 1054*k*u**2 - 2*k*u - 3*k + 5*u**3 + 10*u**2 - 42*u + 2 wrt k?\nAnswer: -3*u**3 + 1054*u**2 - 2*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43152, -43126, -43100, -43074, -43048?\nAnswer: -43022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3705 + 3700. Which is the second smallest value? (a) 64 (b) 4\/5 (c) 1.1 (d) -0.5 (e) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-3))\/(-1))\/((-108)\/486)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -621*q**2 + 135*q - 2. Let c(a) = 2*a**2. Calculate j(c(z)).\nAnswer: -2484*z**4 + 270*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (8513 - 6\/(-2))*(-12)\/(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -565375?\nAnswer: 565372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7 + 4)*(3 - 1 - 1)*(0 - 2*w + 0)*((-w - 4*w + 3*w)*(-4 + 2 + 4) - w - w + 0*w).\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 4*a**2 + 3*a. Let g be n(-2). Suppose -5*u + 2*u = 15, -g*u = -w + 38. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70) + (sqrt(70) - 4*sqrt(70)))*3)\/sqrt(10))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence np when two letters picked without replacement from lnnnhglnvgpnvnnvg?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/9204 and 121\/546.\nAnswer: 64428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (2 - (3 - 0)). Suppose 0 = v - p. What is the tens digit of (17\/(-2))\/(v\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82546 (base 9) to base 4\nAnswer: 31101321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3625*p + 27978 = 26*p + 3576 - 791 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**3 + 2*f - 3*f + 1070*f**2 - 1064*f**2 + 2 - 2. Give w(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 401?\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -5183 bigger than -5060?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4125010573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 4*p + 6. Give x(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**4\/2 + 4*g**3\/3 + 4*g**2 - 16*g + 10. Find k, given that d(k) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28765\/378 + -1558\/21. Find the common denominator of a and -31\/2.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -1578 - 1950. List the prime factors of h.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 16. Let s = h + -3. Let g be -2 - -7 - s\/1. Solve -r = x - g, -2*x = 3*r - 7 + 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2835.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -21042?\nAnswer: 21044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t**2 - 106*t + 691. Calculate the remainder when a(7) is divided by 87.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z**3 + 3*z**2 - 3*z**2)*(3 + z**2 - 3 + (-2 + 2 - 2*z)*(4*z - 4*z - z)).\nAnswer: -21*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28977*r**3 + r - 14488*r**3 - r - 14492*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 12, -6*i + 2*i = 3*j - 25. Suppose -360 = -6*f + j*f. Is 20 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16138 - 16138.4. Sort x, 2\/13, -4, -3\/7, 3 in decreasing order.\nAnswer: 3, 2\/13, x, -3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*s**2 + 250*s**2 + 3*s**3 - 996*s**2 + 246*s**2 + 246*s**2.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p + 13*p + 0 + 0 + 1.\nAnswer: 5*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0.18 (c) 1400\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*l**5 + 0*l**5 - 32*l + 20*l wrt l?\nAnswer: 80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 2164814\/(-10)) + 80\/(-200) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {e: 7, s: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-28) + 3\/((-630)\/(-32))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24654210 divided by 5010?\nAnswer: -4921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - 50.2. What is the third biggest value in u, -2\/23, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, 1\/3, 7, -2, 0.199, 1\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-20*15)\/10*30\/250\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5594*g**6*h - 4*g**2*h + 134*g*h + 4 wrt g.\nAnswer: -671280*g**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 16 + 2)*(4*q + 0*q + 0*q)*(2*q**2 + 5*q**2 - 4*q**2) as m*q**2 + n*q**3 + p + u*q and give n.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -14*j + 1064. Let y be z(76). Which is the third biggest value? (a) -34 (b) -20 (c) y (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5 - 59*h**3 + 24*h**3 + 33*h**3 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -994*c**3 - c**2 + 992*c**3 - 6*c**2 to the form z + a*c + t*c**3 + s*c**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 11*v**2 - 6*v + 11. Let k be t(-9). Let a = k - 95. Does 33 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*f + 600*f + 3476 = 38263 for f.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -13134213?\nAnswer: 13134212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0.5, -1\/5, -0.1, -2, 2.02, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 10)*(-3 + 3 - o)*(3 - 1 - 3) to p + x*o and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306 divided by 7698.\nAnswer: 51\/1283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 + -38.5. Let q = 4 - 1. Let k = -3 - -2. Which is the biggest value? (a) k (b) w (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 0.38, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -377 - 7\/((-14)\/(-10)). Let r = m + 782. What is r rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -42, -3, -0.4397?\nAnswer: -0.4397","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 3. Solve -5*z + 1 = -i*v - 1, 3*v - z + 7 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17196977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/5 or 12968971?\nAnswer: 12968971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-4)\/(216\/(-798)). Is -15 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4152085 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.98 + -0.13. Let v = q + -104.35. Round v to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 w, and 1 x when four letters picked without replacement from {x: 2, h: 2, k: 4, g: 4, w: 2, b: 6}.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 4*t**2 - 3*t + 1. Let o be d(3). Suppose -6*z = -7*z - 2. Let v be 4 - z - (1 - -2). Solve o = v*h - 11 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*x = 219*x - 294. Solve 4*o + 10 - x = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -79 - 41 - -25 - -165?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**47\/m)*m*m\/(m**(-4\/5)*m)*m*m)\/((m*m**9)\/m)**(-23))**(-13\/5) assuming m is positive.\nAnswer: m**(-10777\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -37.9. Which is the fourth biggest value? (a) 0 (b) 2 (c) k (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19026?\nAnswer: 2, 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*u**2 - 17*u**3 + 54*u**3 - 8*u**2 to the form w + n*u**2 + h*u + p*u**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.257 + -6.823. Let z = -7 - t. Round z to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4991970468?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 854226000 rounded to the nearest 100000?\nAnswer: 854200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (28 - 3) - -18) + -14\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.719 - -0.27. Let v = n - 11.401. Let l = v - -11. Round l to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 3:44 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001001010100111000101 (base 2) in base 5?\nAnswer: 1103342012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -304, -0.08, -270?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015282 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -10\/33, -2, -0.3, 3, -8\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 4*y**2 + 5*y + 2. Let l be h(-3). Let u = 33 + -35. Let r = u - l. Solve o = r*s - 4, 0*s + 2*s - 3*o = 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 44\/11 - 1*-2. Let j be (d*(-3)\/6*1)\/2. Which is the closest to 1? (a) 1 (b) j (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -70*m**3 - m**2 - m. Suppose -20*d = -8*d + 12. Is t(d) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.055 in 4, 0.1, 56?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oonn when four letters picked without replacement from {n: 4, o: 4, r: 6}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 193693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 553747660 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(146\/48 - 3). Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, z: 5, x: 1, l: 2, y: 1}. Give prob of picking 1 j and 2 l.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**3 - 4*i**2 + 2*i + 2. Let f be v(2). Let m be (-208)\/56 + (-4)\/f. Is (-881)\/m + 15\/20 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3))**(-12\/5)\/(n\/(n\/n**0)*n)**(1\/44))**(11\/5) assuming n is positive.\nAnswer: n**(1579\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of g**4\/4 - 4*g**3\/3 - g**2 + 3*g - 209. Calculate q(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 6*u**2 + 2*u + 8. Suppose 32 = 3*z + 2*n, -4*z + 4*n + 48 = -2*z. Let s = z - 20. Give v(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/144380 and 61\/25?\nAnswer: 721900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 12:42 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (64 - 66)*38754\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, 8 in descending order.\nAnswer: 8, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 7:53 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 6*z**2 + 17*z + 5. Let f = 12 - 20. Let o be t(f). Let q(p) = p**2 - 4*p - 4. Give q(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 - -67. Let z be (-16)\/(16\/g) - 2. Is (-11)\/(99\/z) + (-46)\/(-3) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*t + 26 + 16 + 28 - 72 + 47*t**2 - 3*t as n*t**2 + k*t + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -109071*t**2 - 3*t + 4630588.\nAnswer: -218142*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 16, 12\/13, 3\/5, -2 in increasing order.\nAnswer: -2, 3\/5, 12\/13, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {a: 1, r: 1, t: 5, e: 2, o: 2, z: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027136328 times -0.3?\nAnswer: -0.0081408984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(208)\/sqrt(4))\/(sqrt(180)\/sqrt(5)) + (-4 + sqrt(325) + 1 - (sqrt(325) + 1 + (sqrt(325) - ((sqrt(325) - sqrt(325)*1) + sqrt(325))**2))).\nAnswer: -16*sqrt(13)\/3 + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 equal to 172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -3*h + 3, 3*h + 30*p - 101 = -22*p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*x**2 - 297 - 2706*x - 358 - 963*x + 1044*x.\nAnswer: -5*(x + 131)*(4*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*z - 2*z + 4*z)*(0 - 1 + 3) + z - 1 + 1)*(-z - 3*z + 2*z).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 6 = 2*a, 5*b - 6 = a + b. Let z(u) = -u**3 - 9*u**2 + 25*u**a - 10 + 2*u - 8*u**2. Give z(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56796563 and 214.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.2, -0.3, -1351, -97?\nAnswer: -1351","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*p - 2*p = 36, -2*o - 4*p = -28. What is the highest common divisor of o and 784?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45696519.017 + -45735280. Let l = -38793 - b. Let n = l + 32. What is n rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*n = 0, -5*n - 6 = -2*u. Suppose -11*v + 3*v = -400. Suppose v = -o + u*o. Solve 4*k = -5 + o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -129 - -152. Suppose -15*l - 40 = -s*l. Let o(z) = z**3 - 5*z**2 - 5*z + 6. Let q(y) = y**2 + y - 1. Determine l*q(n) + o(n).\nAnswer: n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**2 + 12 - k**3 + 5*k**2 + 27 - 76 + 26. Let t = -20 + 29. Give y(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3*w + 12. Let d = 42 + -53. Let a = w - d. Calculate the highest common divisor of a and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7324 divided by -652.\nAnswer: 1831\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015221768 rounded to six decimal places?\nAnswer: 0.000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) -2\/5 (c) 5114\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-186)\/(-14) + -1 + (-2)\/7. Let k(t) = -4*t + 16. Let r be k(-13). Let c be (-17)\/r + (-18)\/(-8). Solve o = -c*o + u for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 3*l - 4. Let q(s) = s**2 - 32*s + 204. Let p be q(9). Determine h(p).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -15*l + 93. Let t be u(6). Let h be 0*(3 + 8\/(-3)). Which is the closest to 4? (a) h (b) 0.3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 6919*l**2 + 87*l + 11557. Let t(s) = 1384*s**2 + 18*s + 2311. Let b(v) = 6*q(v) - 29*t(v). Differentiate b(x) wrt x.\nAnswer: 2756*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26741 - 51917 = 3323*o + 64545 for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 5:25 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -28\/3*v**3 - 4*v**2 - 5*v**4 + 0*v - 91. Suppose d(p) = 0. Calculate p.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/3)\/p)\/p)\/(p*((p**(-2\/5)*p)\/p)\/p)*((p*p\/(p\/((p\/((p\/p**(1\/6))\/p))\/p)))\/p)**19 assuming p is positive.\nAnswer: p**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 193 - 207 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -161*x + 166*x. Suppose 8\/3*f**3 - 2\/3*f**2 + 0*f + x - 2*f**4 = 0. What is f?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21 + -19 - (-1 - 1). What is the tens digit of (-1 - 11) + d + 632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.62523*0.4\nAnswer: 0.250092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 2:53 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.5 + -1. Let v = -4.2 + 4.01. Let z = 2.81 - v. What is the third smallest value in x, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -57, 2, 0.082943 in ascending order.\nAnswer: -57, -4\/7, 0.082943, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 480340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2\/17 - 496*q\/17 - 30752\/17 = 0. What is q?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*t + 8 - 1 + 2*t**4 - 24*t to the form j + l*t**2 + b*t + f*t**4 + a*t**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*n - 2*s + 6*s, -2*n = -4*s + 20. Let h be 20\/3*6\/5. Let g = h - 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: Two letters picked without replacement from {d: 5, v: 3, r: 2}. What is prob of picking 1 d and 1 v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-2 + 1 + (10 - 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*u**3 - 45*u**3 + 132*u**3 - 46*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83892, 1, -1, 2, 4, 0, -4 in descending order.\nAnswer: 83892, 4, 2, 1, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2792?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 4, -14, 3, 2, -13824 in descending order.\nAnswer: 4, 3, 2, 1, -2, -14, -13824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 17. Let i be 0\/(-1 + (-8)\/(-4)). Suppose x - 4*x = i. Give h(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7558?\nAnswer: 2, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2 + 40*o + 4. Let y be t(20). Solve y*v + k = -12 + 1, -3*v - 12 = -3*k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, a: 7, g: 6}. Give prob of sequence geg.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21)\/(-6)*(-72)\/(-42). What are the prime factors of -4 + (2\/(-6) - (-1580)\/d)?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 6 = z, -15 = 5*y - 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**5*w)\/w**(6\/11) assuming w is positive.\nAnswer: w**(-39\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4*-1*2 - (-176240)\/15421.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4347\/399 - (-2)\/19. Let b(u) = -w*u**2 - 14 + 12 + 2. Let o(l) be the second derivative of -2*l**3\/3 - l. Determine o(b(t)).\nAnswer: 44*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 26. Let h be 8\/(-3)*9*(3 + -2). Let b be a(h). Factor 16*x - 4*x**3 + 2*x**2 - 2*x**5 - 4*x**4 - 11*x + b + x**5.\nAnswer: -(x - 1)*(x + 1)**3*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 21*o**2 - 151*o + 21. Let r be z(7). Let m(h) = h**2 + 15*h + 5. What is m(r)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + 4*p**2 + 8 + 7*p - 5*p**2. What is the smallest common multiple of 9 and r(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k. Let f(q) = 2 + 2 + 6*q - 3 + 0. What is -11*d(o) - 2*f(o)?\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 3:21 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 24*v**2. Let a be d(-1). Let c(y) = -4*y**2 + 25*y - 20. Let m be c(a). Is (m\/20)\/(6\/(-30)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 6*l**3 - 528*l**2 - 6*l + 254. Give k(88).\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j = 5*j - 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -6, 4, 8304.\nAnswer: -6, -1, 2, 4, 8304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 45*u**2 - 36*u. Let d(s) = 11*s**2 - 8*s. Let x = 51 + -53. Let l(q) = x*z(q) + 9*d(q). Let w(h) = 2*h**2 + 2*h. What is w(l(m))?\nAnswer: 162*m**4 + 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjnjtjttyjjy. What is prob of sequence jn?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -9, -222, 1, -2861, 5 in descending order.\nAnswer: 5, 4, 1, -4, -9, -222, -2861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2831917 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-5) - 69\/(-15). Let v = 8 - y. Suppose 0*a + v*c = 5*a - 143, -2*c - 2 = 0. Calculate the highest common factor of 14 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 14 - 14 - -9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 407.9954 and -3.\nAnswer: -1223.9862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.013 - 0.013. Let r = o - 9. Let z = -0.1 - -0.2. Which is the second biggest value? (a) z (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ea9 (base 16) to base 9\nAnswer: -5130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 4 (c) 3 (d) 1\/4 (e) 44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q + 7 = t, 4*t + 4*q = 4. Suppose 4*l + 3*i - 169 = 2*i, t*l - 122 = 4*i. Round l to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10659, 21325, 31991, 42657, 53323?\n\"Answer: 10666*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4) - (-115)\/2. Suppose 0 = 3*v - 6*v + z. What is the remainder when v is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 - 2*u**4 + 0*u**2 + (2*u - 2*u + u**2)*(-13*u**2 - 2*u**2 - 3*u**2) + 4*u**4 - 2*u**4 + u**4.\nAnswer: -17*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 75950 - 865 = -j. List the prime factors of j.\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 10:27 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -293078 or -8499288\/29?\nAnswer: -8499288\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -9, 29, 89, 171?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -22f0 (base 16) to base 8\nAnswer: -21360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 10*l - 2 - 7*l + 4*l + 5. Let c(f) = -36*f - 16. Let z(d) = -3*c(d) - 16*g(d). Let a(t) = 2*t. What is a(z(s))?\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26091696 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 321005 + -321003. Factor 80*v**c + 98\/5*v**4 + 742\/5*v**3 + 0 + 56\/5*v.\nAnswer: 2*v*(v + 7)*(7*v + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57.99 - 3549982.\nAnswer: -3549924.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0 + 53*m**6 + 0 - 2*m**5 + 9*m**2 - 2*m - 55*m**6 wrt m.\nAnswer: -240*m**3 - 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15028*n + 15016*n + 36 = 0. What is the nearest to 21 in -3\/4, n, -5, 1\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1191, -1526, -1861, -2196, -2531?\nAnswer: -2866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6410384 divided by 1602596\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*k - 0*k. Let l(h) = -h + 11. Let g be l(k). Find the first derivative of -6 + 4 + g + 3*t wrt t.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = a + 5*a. Find the second derivative of -4 - j + 9*j + a - 39*j**3 wrt j.\nAnswer: -234*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/sqrt(48) + 2 - ((sqrt(190)*-2*-2)\/sqrt(10))**2.\nAnswer: -302 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24690 rounded to the nearest 1000?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 644\/18 + (-24)\/(-24) + (-484)\/(-2178)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m - 5 + 1 + 1 + 2 + 3. Determine l(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**8\/4480 - o**7\/1120 + o**6\/192 - o**4\/24 - 2*o**3\/3 + 59*o**2. Let j(g) be the second derivative of t(g). Factor j(i).\nAnswer: -3*i*(i - 1)*(2*i + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001889709 to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 1. Let q(m) = -m**3 - 2*m - 3. Let y(f) = -f + 1. Let o(u) = b*q(u) + 3*y(u). Find the second derivative of o(x) wrt x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*0.8.\nAnswer: 10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3732 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 48933103 divided by 6\nAnswer: 48933103\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 11090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/4204 bigger than -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 + 18*p - 969. What is d(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 38 + b?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**3 - q**2 + 5*q - 5. Let b(v) = 0*v**3 - 20611*v**2 - 2*v**3 - 6 + 20610*v**2 + 6*v. Determine 5*b(l) - 6*w(l).\nAnswer: 8*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 18*c. Let k(l) be the third derivative of 1\/5*l**5 + 0*l**4 + 0*l + 0 + 0*l**3 + 266*l**2. Calculate k(f(d)).\nAnswer: 3888*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 35, 37, 41, 47, 55, 65, 77?\n\"Answer: j**2 - j + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 4*y, 0 = 3*b - 2*y - 18. Suppose 3*h + b = -3*v - 0*h, -3*v - 7 = 4*h. What is the units digit of (-1)\/v + 50\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (0 - (-1 - 2)) - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**2*w**4 + 6*f**2 - 30749085*w**4 + 45598219*w**2 wrt w.\nAnswer: 72*f**2*w - 737978040*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 8*x**2 + 0*x**2 + 4*x**3 - 8 - 3*x**3 + x**2 + 3*x. Suppose 0 = -0*d - 5*d - 30. Is p(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 400, 402, 404?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-12 - ((0 - -40) + -9)) - 6.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jekpepeepjpexke. Give prob of sequence ee.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2192*l - 351. Is r(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161278?\nAnswer: 2, 13, 6203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*b = -18*b + 87*b. Let v(d) be the second derivative of 8*d**2 + 1\/12*d**4 + b*d**3 - 5*d + 0. What is the first derivative of v(s) wrt s?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1))**(33\/5)*x**7*x**(-3\/5)\/x)\/((x**(-1)*x**(4\/5)\/x)\/(x**(3\/7)\/x**(2\/7))) assuming x is positive.\nAnswer: x**(698\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1002052 + 48?\nAnswer: -1002003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220441?\nAnswer: 13, 31, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 2. Let k(p) = -18*p**2 - 108*p - 134. Let r(y) = -10*d(y) + 5*k(y). Let f(j) = 3*j**2 + 20*j + 24. Let w(m) = 55*f(m) + 2*r(m). Factor w(c).\nAnswer: 5*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2. Let h = 10 - 4. Let a = 8 - h. Let l(f) = -f**a + 3*f**2 - 3*f**2. What is l(c(w))?\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 56, 106, 58, -178, -692, -1574, -2914?\n\"Answer: -15*t**3 + 41*t**2 + 32*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -101*o**2 + 406*o - 8. Let k be m(4). Is 9\/65 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 7118463.\nAnswer: 5\/7118463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348495 is divided by 348490?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*h - 39*h = 162. Put 6, 27, h in ascending order.\nAnswer: h, 6, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 + 33 + 46 + 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 138*i - 4432. Calculate the remainder when 187 is divided by d(86).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 1. Suppose -175 = -5*l + 5*g, g = -v*l - g + 115. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 5*p - 25 = 0, -3*b + 9 = -5*b + p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20, -6, 18, 52, 96?\n\"Answer: 5*s**2 - s - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48404656 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90730698 is divided by 4028.\nAnswer: 4026","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, b: 1, h: 2, l: 5}. What is prob of picking 3 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 3)*(-16*r - 24*r + 2*r) - 2*r + 2*r + 2*r + (5 - 3 + 0)*(74*r - 35*r + 48*r) as k + j*r and give j.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*k = 1. Let i be (k + 1)\/(-1 - -2). Find the third derivative of 3*w**5 + 2*w**i - 2*w**5 + 0*w**2 wrt w.\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2788, -3810, -4832, -5854, -6876?\n\"Answer: -1022*j - 1766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 3*o**2 - 3*o - 1. Let f = 8 + -4. Let c be z(f). Let 2*b**3 - 2*b**5 + 0*b**c + 0*b**3 = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 257 = 3*n - 229, -4*x - 5*n - 25 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 980, -42, 6.\nAnswer: -42, 6, 980","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**3 + 14*q**2 + 43*q + 30 = 0.\nAnswer: -10, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b + 21. Let r be k(-9). Let f be (25\/r)\/(-3*(-2)\/72). Calculate the greatest common divisor of 40 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*u + 2 - 5 + 25*u.\nAnswer: 63*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*(-171)\/367536*32.\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 453*b**2. Let z(j) = 57*j + 400. Calculate z(q(i)).\nAnswer: 25821*i**2 + 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1666*b + 2269208 = 2335848 for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/5 + 276*p\/5 - 1136\/5.\nAnswer: 2*(p - 4)*(p + 142)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -1) + 1*65. Suppose -3*j - 2*u = -0*j - s, u = 3*j - 52. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210\/(-84)*2\/(-7)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2115823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20107957 less than or equal to 20107957?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqqqqqqqqqqqqqqqqqqq. What is prob of picking 2 q?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 49?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(182\/3796*(-10)\/175)\/((-4)\/(-10))?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121960364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.048*56878.5\nAnswer: 2730.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 + 20*s**4 - 4*s + 4*s**3 - 76*s**4 + 29*s**4 + 23*s**4.\nAnswer: -4*s*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -31*u - 2168. Let f be w(-70). Calculate the greatest common divisor of 339 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**4\/24 + d**3\/6 + 8*d**2. What is f(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1440743 - 727*i - 383*i**2 - 1440743 - 156*i**2 wrt i?\nAnswer: -1078","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*h - 14*h + h + (0 + 0 + 1)*(1 - 1 + 2*h))*(378*h**3 - 225*h**3 + 42*h**3).\nAnswer: -3705*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 46 = 2*h. Let a be (h\/2)\/(1 - (-1)\/(-2)). What is the first derivative of -11*o**3 - o**3 + a + 28*o**3 wrt o?\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/292865 or 0?\nAnswer: -1\/292865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*p - 441 = -54*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.6 - 160847.6.\nAnswer: -160845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 108752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 1:24 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4003 + -56107\/14. What is the common denominator of 35\/8 and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwx when three letters picked without replacement from wxxxw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 12:46 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 + 30.73. Let f = -0.39 + y. Let t = -0.36 - f. What is the second biggest value in t, 0.07, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 + 23 - 6*n + (1 + 4 - 4)*(0*n + n + 0*n) + 4*n - 2 + 2 - n + 0*n - n)*(-4 + 2*n + 4) to the form p*n**2 + g*n + w and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000518 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -85*o**3\/3 - 867*o. Let x(i) = 18*i. What is x(r(s))?\nAnswer: -3060*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epkpvpptvkue. Give prob of sequence uke.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6269996 divided by -2.\nAnswer: -3134998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 43945713 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -15*n**2 + 5*n + 1. Is 21 a factor of r(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.24 in 3\/5, -2, 1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (729\/14580)\/(8\/30)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 130, 404, 854, 1474, 2258?\n\"Answer: -m**3 + 94*m**2 - m + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*p - 39*p + 41*p - 53*p + 10*p.\nAnswer: -73*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/2 of a microgram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57\/228 - -25*(-1)\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1567, -1777, -2369, -3535, -5467, -8357?\nAnswer: -12397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 3*s**2 + 3. Let u be m(3). Let l = 37 + u. Which is the smallest value? (a) -2\/13 (b) l (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 2*x**2 + 5*x + 32. Determine q(0).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -375281*m**4*w**2 + 8438*m**2*w + 33*m**2 - 2*m*w**2 wrt m.\nAnswer: -9006744*m*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 144 = -21. Let p = g + -25. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2819*v + 6. Let i(p) = -22275743*p + 47413. Calculate 47413*h(d) - 6*i(d).\nAnswer: -2789*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 671237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101*w + 1 + 201*w - 116*w)*(-3 + 4 - 3 + (3 + 1 - 5)*(-5 + 6 + 0))*(2 + 2 + 0)*(-2 + 3 + 1).\nAnswer: 384*w - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -2\/9, -300?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610 is divided by -266*18\/(-126)*(3 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -16. Let o(a) = -25 + h + 19 + 2*a. Let x(n) = -2*n - 19 + 0*n + n + 15. Determine 3*o(d) + 5*x(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 32 = -3*j, 2*j + 3*s - 48 = s. What is the greatest common divisor of j and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 17*g**2\/2 - 151*g + 291. Let j be i(8). Which is the second smallest value? (a) -0.03 (b) j (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*z = 2*l - 10, 0 = -5*z + 3*l - 12. Let y = -3 + 13. Which is the third smallest value? (a) y (b) -4 (c) 2\/3 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-33)\/(-2))\/(-11))\/((-126)\/6).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 143 - 313*j**2 - 283 + 138 as n + w*j + c*j**2 and give c.\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 0)*(-3 - 1 + 3)*(l + 2*l - 2*l) + (-20 + 36 + 23)*(2*l + l - l).\nAnswer: 75*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13665624 (base 8) in base 3?\nAnswer: -12211220000012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 9:28 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 0. Suppose s + 0*s - 5 = 0, 0 = -3*q - 4*s + f. Is (-5)\/(-10)*q*14 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 3, -9, -5163 in descending order.\nAnswer: 3, 1, 0, -9, -5163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.033.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (76\/10)\/((-18)\/(-45)). Calculate the greatest common factor of p and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 - 123111?\nAnswer: -123202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 1\/60*q**5 + 1\/6*q**4 - 5*q**2 + 0 + 0*q + 13\/3*q**3. Let t(a) be the first derivative of g(a). Determine t(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (222\/15)\/((-2)\/(-5)). Let w = r - -69. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7666079167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5*u**2 - 54*u + 74. Determine w(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 11:24 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 97.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314381.\nAnswer: 17, 18493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b - 26*b + 2*b.\nAnswer: -29*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 5*y**2 - 4*y + 1. Let s be v(-4). Let g(x) = 3*x**2 + x. Let b be g(s). Let a be 72\/16*(12\/(-9))\/(-1) + 7. Solve -1 + a = -b*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6393229?\nAnswer: 6393229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 17*t**2 + 10*t - 4. Is u(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*c + 3*c + 347, -3*k = 5*c - 1049. Let r be (k\/(-48)*-2*2)\/(-1). Is -30 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*w = 20, 0 = 2*z + 2*z - 4*w + 16. What is the remainder when 26 is divided by -3 - (z - (-34)\/(-2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/9 and -29\/199?\nAnswer: 1791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c - 1. Let p(a) = 6*a. Let g(x) = -p(x) + 4*s(x). Let o be g(-4). Solve -t = o*t + 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -44*u + 1. Let w(i) = -i + 1. Let d(p) = -o(p) - 3*w(p). What are the prime factors of d(2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2223051873.\nAnswer: 3, 7, 105859613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 25. Suppose -l*y + 56 = 50. Find the third derivative of -2*g**3 + 0*g**3 - 21*g**3 + 13*g**y wrt g.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -0.15963.\nAnswer: -2.15963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o - 77674 + 77999 = 0 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.7 + -0.7. What is the nearest to 1 in -3, f, -1\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -357, -727, -1111, -1509, -1921, -2347, -2787?\n\"Answer: -7*d**2 - 349*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 6\/8)\/((-15)\/12)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 4, -1, 0.02, -22, 0, -39?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 6 - 9\/2*p**2 - 3*p**3 + 16*p - 1\/4*p**4. Is a(-8) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 13*w**2 - 50*w + 1. Determine u(-4).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.415 and 677114.\nAnswer: -281002.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -2 + 52\/3*m**3 + m + 0*m**2. Is z(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3220 * 27.992.\nAnswer: 90134.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -s. Let d be (-6)\/(1 + 44\/(-8) + 3). Suppose 3*g + 2*g - 4*l + 42 = s, g - 6 = -d*l. Is -8 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-214)\/4)\/((-3)\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62 (base 8) to base 2.\nAnswer: 110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 u when two letters picked without replacement from {r: 3, q: 4, u: 8, g: 4}.\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-810)\/(-40))\/(-9) + 2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*l**5 + 24*l**3 - 4*l**2 + 24?\nAnswer: -600*l**2 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2936*k**2 + 10325*k**2 + 114757 - 114757 to m + y*k + c*k**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**5 - 11020*f**4 + 14865312*f**3 + 875654252*f**2 - 11416261186*f = 0. What is f?\nAnswer: -67, 0, 11, 2783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32024*m**2 + 64043*m**2 - 32018*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -201*x - 1. Let j be p(-2). Let d = -269 + j. What is the highest common divisor of 12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/1 - 8\/(-8). Let t = 5 - 2. Solve y = t*r + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 166 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 less than -207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-98 - -56 - -75) + -79\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -742 - -754. Let p(t) = -t**3 + 12*t**2 + 4*t - 30. Let d(g) = g**2. Let u(k) = 2*d(k) + p(k). What is the units digit of u(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 - 55.01. Let a = s - -54.891. Let z = a + 1.829. What is z rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.82 + 0.18. Let f = -2618.9 - -2619. What is the nearest to f in i, 2\/13, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 39, 27, 7, -21, -57, -101?\n\"Answer: -4*a**2 + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 4*a + 1, -4*a + 2*t = -a - 5. Let o be a*(34 + 4\/2). What is the highest common factor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 636375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9813363 divided by -7\nAnswer: -1401909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*t**2 - 15*t**2 + 3*t**3 + 31*t**2.\nAnswer: 3*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 16327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-18)\/4)\/((-90)\/24 - -3). Let t(w) = w**3 - 5*w**2 - 3*w - 14. Let h be t(a). Solve -c - 1 - 4 = 0, f = h*c + 21 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3592 + -3808.9. Let g = n + 305.2. Round g to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-4) - 14\/28. Suppose 2*x + 7480 = -b*x. What is x rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 935 and 10374335.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, 97, 1, 11, -1, 4 in increasing order.\nAnswer: -1, 1, 4, 11, 79, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**3 - 1 - 5*j**2 + 5*j**2 + 2*j**4 in the form m*j**3 + l*j + t*j**4 + k + b*j**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10126456 is divided by 306.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6901338?\nAnswer: 2, 3, 677, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 + 1624*g + 67593. Determine t(-44).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -37*z**2 - z. What is the common denominator of a(-1) and 54\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225, -813, -1755, -3039, -4653, -6585?\nAnswer: -8823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*p + 16 = 0, -i + 7 = -7*p + 5*p. What is the remainder when -3*2\/(-18)*12 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3477832*c**3 + 10987895?\nAnswer: 10433496*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6483 + 24\nAnswer: 6507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27532 is divided by 255.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3041022?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 3*i**2 - 4*i + 3. Let u(d) = -2*d**3 + 4*d**2 - 3*d + 4. What is -4*j(r) + 3*u(r)?\nAnswer: -2*r**3 + 7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*z + 3*f = 148*z - 71*z + 2*f - f + 7, -f = -5*z - 14 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32735, -65520, -98305, -131090, -163875, -196660?\nAnswer: -229445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1232.2 + 1232. Let t = -673\/9 - -75. Which is the nearest to s? (a) t (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5740 (base 9) to base 15\nAnswer: -13d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**2\/2 + 4*d - 2. Let x be r(-4). Let i = -202 - -202.5. What is the nearest to 3\/7 in -5, x, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(80) - 4*sqrt(80)*-6) + sqrt(80) - sqrt(80)) + -2)**2.\nAnswer: -2000*sqrt(5) + 1250004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 5\/3024?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -2. Let k = -50.8 + 17.8. Let q = 32.5 + k. What is the closest to v in q, -4, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10857 and 48712257?\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14\/15 (b) 0.4 (c) -3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**5\/20 + 5*j**4\/12 + 4*j**3\/3 + 2*j**2 + 4*j. Suppose y(o) = 0. Calculate o.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 4, -4*h + 5*y - 2595 = -2495 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (187499 - -1)*-5*(-364)\/(-210). Round r to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 504?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*-2*-2 + 2*(sqrt(152) - sqrt(152)*1))*6)\/((1*sqrt(96) - sqrt(96))\/sqrt(12) - sqrt(72)\/(sqrt(45)\/sqrt(5))).\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q**2 + 1. Let j be t(-1). Let p = -9 - -6. Let s be p\/(-2) - 2\/(-4). Solve -s*o + j*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173, 1346, 4523, 10706, 20897, 36098, 57311?\nAnswer: 85538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.2982 - -1.3. What is b rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*t - t = -14, -t + 3 = 0. Let w = 6 + -14. Let c = h - w. Solve 0 = -c*u + p + 3, -4*p = 2*u + 9 + 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 6*g = -162, 27781*g - 27776*g = -3*j - 116 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85706499?\nAnswer: 3, 28568833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - q + 2. Suppose -17 = -3*u - h + 2*h, u - 2*h = 14. Suppose f = -3*d - 9, 4*d + 15 = u*f - d. Give t(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 + 0*r**2 - 2*r**2 + (-r + 0 + 0)*(0*r + 2*r - 3*r) + (-3*r + 3*r - r)*(5*r - 5*r + 2*r) - r**2 + 2 - 2 + 3*r - 3*r + r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4942\/126 - (-1 - (-11)\/9). Let p = 43 - x. Solve 0 = 4*r + p*w - 16, -4*w + 2*w = -6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -184\/52263 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(204) + -3*-2*sqrt(204))\/(sqrt(144)\/sqrt(3) + -1*sqrt(12)*5 + sqrt(12) + sqrt(12)).\nAnswer: -7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 1 - 1)*(-4*j**2 + 2*j**2 + 4*j**2)*(-3*j + 7*j - j).\nAnswer: 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7450 - 4285. Let y = q - 1661. List the prime factors of y.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxx when three letters picked without replacement from qxxqxqllqqlqqqqx.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -2675, 2, -72\/7, 5 in ascending order.\nAnswer: -2675, -72\/7, -2\/9, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1105816 (base 13) to base 7.\nAnswer: 62200561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -8*z + 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1059994 and 19913.\nAnswer: 19913.1059994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11\/80 + 1\/80. Let s be (-5)\/(-2) + (-9)\/(-18). Let z be ((-10)\/(-15))\/(2\/s). Which is the closest to -1? (a) -5 (b) z (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51776665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*(-2*sqrt(171) - sqrt(171)))\/(1*sqrt(900)*1).\nAnswer: 6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111111 (base 2) in base 13?\nAnswer: -9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -39. Suppose y = 3*d - 31. Let i = 24 - d. Solve -2*x = -i*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 0.4 (c) 0 (d) -1\/3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 9. Suppose 0 = 3*v, -4*o = f*v + 4 + 4. Let b be 3 - (-5)\/(5\/o). Solve 15 - 3 = -4*y, -b = 5*k - 3*y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -10. Suppose -4*k + z*k + 2 = 3*h, -18 = -3*h + 3*k. Sort 1\/3, 1\/5, h.\nAnswer: 1\/5, 1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1132512 = -2*s + 307*h - 310*h, 9*h = -18. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29209.85 - -29894. Round y to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5 = -3. Suppose -n*g = -0*g - 22. Suppose 2*x - g - 5 = 0. Solve -4*w - 9 = -w - 4*j, -2*w + x = 2*j for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222287 to the power of 1\/2, to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3398496, -6796993, -10195490?\nAnswer: -13593987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/18 - (-140)\/(-24). Let f be 3\/t - (-2463)\/6. Let r = f + -250. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one twentieth of a day?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 196148 - -615745.3?\nAnswer: 811893.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**3 + 4*o**2 + 66*o + 132. Let f be l(-2). Let t = -4 - -4. Solve t = -c - 5*w + 24, -3*c + w - 8 = -f*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-36)\/(-12) - (-1 - -12). Let z = x - -23. Suppose -z = -10*y + 5*y. Which is smaller: 12\/5 or y?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3700 at least 3701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**7\/7 - 446*s**5\/5 + s**3\/3 - 634*s + 86. What is the third derivative of p(l) wrt l?\nAnswer: 120*l**3 - 10704*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 33452 and -6?\nAnswer: 33458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j**3 + 2 - 2)*(10 - 11 + 18)*(-22*j + 222*j + 54*j) to z*j + i*j**4 + k*j**2 + g*j**3 + m and give i.\nAnswer: 12954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 70?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 14 = -13*p. Calculate the greatest common factor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2188666 and 8?\nAnswer: 8754664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - 20?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -121100010121 (base 4) to base 12\nAnswer: -2272821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3*((-107)\/(-15) + 6\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106226725 and 2200.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - (13 - 27 - -9) - 13.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3186 by -2.\nAnswer: -1593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.8 + -2. Let r = 1.8 - d. Which is the third biggest value? (a) -0.5 (b) 0.4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83 - -134. Does 37 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -23641 and -4.\nAnswer: -23645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/24)\/(1\/6)*(-6557)\/158.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**2 - 1 + 1 + 5*x**2 - x**2 - 3*x**2 + (7*x - 2*x - x)*(1 - x - 1) + 2*x**2 + 0*x**2 - 5*x**2 in the form p*x**2 + l*x + z and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1)*30\/45.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43619052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -9. Let l(q) = -q**2 + 10*q - 6. Let z be l(9). Suppose -r = -s*r + z*j + 20, 0 = 4*j + 16. Solve -r*f + 0 = 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 5*g + 2935, 3*g = -3*z + 2*g + 4445. Suppose -119*h + 109*h = -z. Is h not equal to 147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -67 (c) 564 (d) -5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -116 - 560313?\nAnswer: -560432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 16\/3*a**3 + 0*a**2 + 0*a + 7\/4*a**4 + 16. What is the third derivative of f(m) wrt m?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 288232.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58 - -79) + -4 + 23?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/25 and (16\/(-270))\/(4*4\/456).\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + (-27)\/12)*(-8)\/(-3). Suppose 5*t + 14 = -x - 2*x, l*x + 8 = -3*t. Let g(p) = -24*p**3 + 2*p**2 + 1 + 23*p**3 + p**2. Give g(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/12)\/((-2)\/(-3)). Let d(f) = -11*f - 6. Let j be d(p). Solve -j = u - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 216*j**2 - 25 - 215*j**2 - 195*j**4 - j**3 + 23 as s*j + h*j**3 + v*j**2 + r*j**4 + d and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**2 + o**2 - 16047*o - 4252*o**4 + 13724*o wrt o.\nAnswer: -51024*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrhdohddhrhhdhdhdd. What is prob of sequence rd?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.24 + -0.26. Put 1\/6, g, 1\/2 in descending order.\nAnswer: 1\/2, 1\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 120 - 66. Let n = x - 50. Solve 4*d + 5*p = -27, -4*p - 21 = n*d - d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4387*p**2 + 16*p + 2 - 2 - 2*p + 4391*p**2.\nAnswer: 4*p**2 + 14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333*d - 18243 = 233*d + 21163 + 17760 for d.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/8)\/(-5 + 210\/40). What is the third biggest value in -38, k, -0.1?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -293 * -1\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + -40. Let v = 81.037 + h. What is v rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17102285 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 590 by 590.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -577 + 346*l - 179*l - 186*l. Suppose -4*w - 5*v + 113 = 0, 0*w - w = 3*v - 23. Calculate the remainder when w is divided by a(-31).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 160*i**2 - 905*i + 105. Give u(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 416 (b) 0.3 (c) -19.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (15 - 5 - 3) - -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 0 + 12*o - o**3 - 7*o + 2*o**2 + 2 + 3*o. Let p be n(4). Solve p*t + t + 5*x - 4 = 0, -3*t - 3*x = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**5)\/(y*y*y**11*y))**(2\/161) assuming y is positive.\nAnswer: y**(-36\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t - 3. Let r be d(-5). Let m be r\/8 + 3\/12. Solve m = 4*c - 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57344 divided by -7.\nAnswer: 8192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 1113 = 2367. Is g less than or equal to 231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-47 - (26 - 20). Let w = v + 189. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 4*x + 4, -2*x - 15*j + 25 = -41. Solve 2*g - 2*g + x*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = -136 + 142. Is 5\/1012 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 11*l**2 + 31*l + 18. Give i(-13).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 4*t, -68*n - 4*t - 12 = -67*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 462813961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**3*g**2 + 2*d**3*g*y**2 - d**3*g + 28*d**2*g**2 + 2*d*g**2*y**2 - d*y - 11*g**2*y**2 wrt y.\nAnswer: 4*d**3*g + 4*d*g**2 - 22*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**3 - 7*k**2 + 6*k**2 - 6 + k**2 - k as l*k**2 + p*k + g*k**3 + a and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 2*z**2 + 4*z - 3. Let u be m(3). Let b = u + -23. Put b, -4, -2 in descending order.\nAnswer: -2, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11106567.33 + -11?\nAnswer: -11106578.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -29. Let x(k) = k**2 - 4*k + 16. Is x(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/(-35) + 646536\/(-271089). Let s = 28\/331 + y. Find the common denominator of -55\/39 and s.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/36*-2*3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-18)\/297)\/((6\/(-30))\/(171\/(-75))) and 7\/185?\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*d - 4*d + 51408. Suppose d = 58*f - 44*f. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677114197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11729006802 from 0.2.\nAnswer: 11729006802.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -210 <= -148349\/710?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7*w**2. Let n(f) = 141*f**2. Determine n(t(y)).\nAnswer: 6909*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1188*n**5 + 601*n wrt n.\nAnswer: 23760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - u + 1. Let r(q) = -77000*q**3 - 5*q**2 + 4*q - 3. Let t(l) = -r(l) - 4*s(l). Let w be t(-1). Round w to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2709, 25925 in decreasing order.\nAnswer: 25925, 2709, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 x, and 1 t when three letters picked without replacement from {x: 1, t: 1, h: 2, k: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 596 or 597?\nAnswer: 596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 + -1 + (-12 - -10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02316737 rounded to four decimal places?\nAnswer: 0.0232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.7 - -0.4. What is the third biggest value in b, -5, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10530 - -10537. Let c = 67\/15 - 34\/15. Is c > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 1:50 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 - 231. Let d(t) = 16*t**2. Calculate d(r(b)).\nAnswer: 64*b**4 + 14784*b**2 + 853776","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, 212, 309, 400, 485, 564, 637?\nAnswer: 704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5837876531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 12*j. Let n(g) = -g - 3. Let h(b) = 4*b + 13. Let z be (-16 - -4)\/(8\/28). Let q = z + 16. Let x(y) = q*n(y) - 6*h(y). Give x(w(d)).\nAnswer: 24*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**4\/24 + t**3\/6 - 10*t**2. Let a(w) = 5*w - 4. Give -a(z) - 4*g(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 716 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1036 - 991. Calculate the least common multiple of x and 21.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, -95, 0.1 in decreasing order.\nAnswer: 0.1, -5\/4, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/987, -1, 3, -31 in descending order.\nAnswer: 3, 4\/987, -1, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: e113e9 (base 15) to base 4\nAnswer: 220300323000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) - (sqrt(1008) + 3*sqrt(1008)*-2)) + 2)**2 + (5 + (sqrt(112) + -1 - (-4 + sqrt(21)\/sqrt(3))))**2.\nAnswer: 336*sqrt(7) + 36419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n + 37*n + 3 - 3 + 4.\nAnswer: 28*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26451879 is divided by 289.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -663, -2\/9, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76 + (-3 - (-1 + 3 - (18 + 12 + -20)))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*u + 5 = 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 620.7042l to millilitres.\nAnswer: 620704.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4002 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.0458cm to kilometers.\nAnswer: 0.000890458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 19938745\nAnswer: -1993874.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5210787 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -40*s - 314. Let f be g(-17). Calculate the highest common factor of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = y - 52, -212*y - 260 = -217*y - 2*k. Let n be 414\/8 + (-2)\/(32\/(-4)). What is the highest common factor of y and n?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 + -4 + (-812)\/(-88) and -49\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35725 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-2 + 5)) + 9 - 1 - -3\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2144609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12961963 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 62223 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -18852.699 rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27359 is divided by 13624?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18298 - -18352. Let o = 4 + -6. Let f be -81*1\/(o + 1). Calculate the greatest common divisor of f and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9 - (-1 + -5) - (2 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 781283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 5:05 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2515 and 56401893.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-13\/7)\/(u\/(u*(u\/u**(-4))\/u*u*u)))\/(u**(-6\/23)\/(u*u**(1\/27))) assuming u is positive.\nAnswer: u**(23651\/4347)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38425.\nAnswer: 5, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, h: 1, z: 1, s: 5, u: 1, e: 5}. What is prob of picking 1 h, 2 s, and 1 e?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 582 and 76501184.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4648020161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 493*z**4 + 8*z**3 + 438*z**2 - 1868*z + 11007 wrt z?\nAnswer: 5916*z**2 + 48*z + 876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*s + 26*s - 2 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*x = -234*x - 17261 - 2227 for x.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2064344 is divided by 14043?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-4*(sqrt(112) + (1 + sqrt(112) - sqrt(112))) - (3 + 1*sqrt(112)))*5*-2 + 4)**2*-1.\nAnswer: -1712856 - 177600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -75. Let l be (-3)\/(-54) + (-10)\/i. Sort 0.1, l, 2\/3 in increasing order.\nAnswer: l, 0.1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43873 - -43867. Let l = 5 - 5.05. What is the closest to -1 in j, 0.4, l, 1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*t - 335, -5*y + 229 = -2*y + 4*t. Let j = y + -68. Solve 2*h = -3*g + 6, 0 = 2*h - g - j*g + 22 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + sqrt(448) + 2)*4 + (2*sqrt(63)\/sqrt(9) - sqrt(7) - (4 + sqrt(700))).\nAnswer: 6 + 23*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - 3b09f2?\nAnswer: -3b09e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005435640438 to 6 decimal places.\nAnswer: -0.000544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*w - 7*t - 27, w - t = 7. What is the smallest common multiple of w and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -13. Let w = 38 - -27. Let z = -70 + w. Which is the fourth biggest value? (a) t (b) -3 (c) z (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - sqrt(475)*-1) + 5)**2 + sqrt(209)\/(sqrt(22)\/sqrt(2)) + (sqrt(76)\/sqrt(4))**2*-3.\nAnswer: 61*sqrt(19) + 652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10\/83 (b) 2\/11 (c) -0.1226 (d) -0.05 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5917 = 218*l - 43 + 1079 - 2531 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -195.1818 and 0.2.\nAnswer: -194.9818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*g - 6 + 25, -2*g = -5*l - 44. Let b(t) = t**3 + 12*t**2 + 17*t + 20. Let j be b(l). Let q = 127 - j. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 2*z + 3. Let y be t(3). Suppose 5*s + 3*x - 7 = y, 0*s - 3*s + 7 = -x. Suppose -7*d + 275 = -s*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/((k*k**(-39))\/k*k))\/k**36)**(6\/17) assuming k is positive.\nAnswer: k**(24\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/(-75) + (-2099764)\/11966075. Let z = -102\/20525 + k. Let q = 2\/53 - z. What is the third smallest value in -2\/5, -1\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 10:12 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 507813?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 6*h**2 - h. Let w(m) = -m**3 - 3*m**2 + 3*m + 2. Let c be w(-4). Determine p(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -348579 (base 14) to base 9\nAnswer: -3327583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34602.\nAnswer: 2, 3, 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -211?\nAnswer: -633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 88 - 8. Suppose 4*u - 1 + 28 = -5*y, 2*u = 5*y - 21. Let x = u + t. What is the remainder when x is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r + 2. Let q(p) = -40*p + 11. Let k(x) = -6*l(x) + q(x). Suppose i - 3*u = -7, -2*i + u = -2*u + 8. What are the prime factors of k(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(3) + sqrt(192) + 1*(sqrt(27))**2.\nAnswer: 9*sqrt(3) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (12 - -48) - (-10 + 4 - 2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3938737 is divided by 67908.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 8, t: 4, q: 2}. What is prob of sequence rrqr?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 7*f**2 - 204*f + 999. Let i be m(5). Which is smaller: i or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**21*(t\/(t\/(t**(-2\/5)*t)))**28 assuming t is positive.\nAnswer: t**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1682 is divided by 43.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**4\/4 - 7*j**3\/3 - 3*j**2\/2 - 8*j + 3. What is the tens digit of p(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6.917 (b) -0.2 (c) -2 (d) -0.029 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from {p: 7, s: 3}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -24*n - 1834. What is v(-76)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 3*c + 531, 354 = -2*d - c + 6*c. Let v = d + 274. Find the third derivative of 97*y - y**2 - v*y - 7*y**3 wrt y.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -5 + 1\/2*c**2 + 0*c. Let d(a) = -a**2 + a**2 + 4*a**2. What is o(d(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14023 - 343?\nAnswer: -14366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 105 in increasing order.\nAnswer: -4, 4, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -438 - -477 - (3 - -41) - (-1 + 0 - -4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 10*k + 4. Let a(m) = m**2 + 9*m - 3. Let f be a(-9). Let d be o(f). Let g = d + 52. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 5234222?\nAnswer: -5234225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 149 - 159. Suppose -u - 94 = 4*z, 3*z - 4*u + 43 + 37 = 0. Is 5 a factor of ((-72)\/q)\/(z\/(-60))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 10 - 10)*(-64 + 3*z - 3*z**2 + 64).\nAnswer: 39*z**2 - 39*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*p = 2*t + 115*p + 16, t + 6*p = 11*p + 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-20))\/(-3*25\/90)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g + 1202 = 12*g. What are the prime factors of g?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 482823, 482822, 482821?\n\"Answer: -i + 482824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**2 - 134*f - 9. Give i(-48).\nAnswer: -489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*q + 10, 4*j = j - q + 6. Suppose -c + 7 = j. Let x be 2\/3*-3 - -7. Solve x = -5*d - c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2425 - 2428.046. Let u = -3.1 - c. Round u to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-6 - (-4 - -1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4743*q*x**3 + 98*q*x**2 + 4*q*x + 2*q - 762065*x**3 - 111*x wrt q?\nAnswer: -4743*x**3 + 98*x**2 + 4*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 2. Let c be (6\/(-9))\/(t\/6). Suppose 0 = c*m - 5*m + 17. Solve 3*p - 5*v - 22 = -0*v, -3*p + 4*v + m = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 8*y**3 - 5*y**2 + 13. Let s be x(3). Let h = s - -17. List the prime factors of h.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/3)*w**(-4)*(w**(3\/5)\/w)\/w*w**3)\/(((w*w\/w**(2\/19))\/w)\/(w**(5\/6)\/w)*(w\/(w**(-5)\/w))\/w*w*w**(-6)) assuming w is positive.\nAnswer: w**(-2353\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053) + 2*sqrt(1053) + -3 + (sqrt(1053) - ((sqrt(1053) + 1 + sqrt(1053))**2 + sqrt(1053))) + 5.\nAnswer: -4211 - 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 3*i + 4. Suppose r = 2*o + 10, 2*o - 2*r = -4*r + 2. Let v be w(o). Let u(z) = z**2 - 5*z + 6. Let q be u(v). Solve 0 = -l + 5 - q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**2*d*j - c**2*d + 3*c**2 - 4*c*j - d*j - 9*d + 3*j with respect to c.\nAnswer: 6*c*d*j - 2*c*d + 6*c - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3358 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q - 12. Let x be u(-8). Let i(c) = -c**3 + 5*c**2 - 2*c - 9. What is i(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55378543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 118*k - 1. Let h be a(1). Suppose -65 = -2*b - 3*b. Suppose b = 3*f - 26. What is the greatest common divisor of f and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oobj. What is prob of picking 1 j and 2 o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 2:46 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -67 + 4*q - q + 43. Let i be c(10). Let j be 6*2*i\/9. Solve -6*b + 2*b = -j for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 25, 19, 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 <= 138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2441 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 41948 (c) 1 (d) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -729, -1064, -965, -216, 1399, 4096, 8091?\n\"Answer: 36*d**3 + d**2 - 590*d - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 0\/(-2)) + 2. Suppose 0 = 3*u + m - 15, 0 = x*u + 3*m - 2*m - 11. Suppose -2*f - 1 + 3 = 0, 5*w - u*f = 41. What is w rounded to zero dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f**(-7\/3)*f)))**(-26) assuming f is positive.\nAnswer: f**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -11. Let h be 11 + k - -4*8. Suppose -10 = -4*x + h. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -15*x - 12. Let j = 65 + -63. Suppose -3 = 3*o - 8*o + 4*w, -4*o = -j*w. Let s(z) = z + 1. Determine o*k(a) - 12*s(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -273 at least as big as -56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(51)\/sqrt(3) - (sqrt(187)*-2 + sqrt(187))\/sqrt(11))**2 + 5.\nAnswer: 16*sqrt(17) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 4*r + 102, -4*q + r = -178 - 170. Calculate the remainder when q is divided by 27.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -821, -827, -833, -839, -845, -851?\n\"Answer: -6*d - 815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-1)*k))\/((k**(3\/7)\/k)\/k*k*k))**(-2\/109) assuming k is positive.\nAnswer: k**(-8\/763)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 2*i - 3*q, 2*i + 3*q + 43 = 112. Let w be 1\/2 + (-42)\/i. Which is the third biggest value? (a) -1\/6 (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 6:00 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/21*-3*119\/(-51)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -17766*f + 3126813. Calculate r(176).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -639144 divided by -36\nAnswer: 17754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/(k*k\/k**(1\/2)*k))\/k*k*k))**(-34\/3))**(-2\/21)\/((k*k*k\/k**(-2\/7))**(-24)*k\/k**(2\/9)*k\/(k\/(k**(-5)*k))) assuming k is positive.\nAnswer: k**(5273\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + (-15)\/5)*8\/(-32). Which is the nearest to f? (a) 1\/6 (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 377778.7561 rounded to the nearest 10000?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1940*s**3*w**3 + 2*s**3*w**2 - s**3 - 510*s**2 + 2*s wrt w?\nAnswer: 11640*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -0*l - 63. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 10 = 9. What are the prime factors of -98*(-1)\/4*(3 + z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (4 - 8 - 0). Let n = 5 - 0. Sort n, l, -1 in descending order.\nAnswer: n, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*x + 32 = -93*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 13*y**3\/6 + 10*y**2 + 47*y. Let s be 9\/(-3) + 0 - -10. Let u(f) = 7*f + 10. Let n(d) = s*u(d) - 4*x(d). Calculate n(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.26 + 0.3. Let y = -15.3 - -16.3. Which is the nearest to y? (a) 3 (b) -3\/4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000016344 rounded to seven dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 4:47 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3085576 - -3085541.99969. Let v = m - -34. Round v to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 7*c**6\/2 - 21*c**2\/2 + 13. Find the second derivative of s(z) wrt z.\nAnswer: 420*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*(-4)\/10\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000000000011001101 (base 2) to base 15.\nAnswer: 52aee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4, 10, 16, 22, 28, 34?\n\"Answer: 6*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1009 divide 3620606460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 - 4*y**2 + y**2 + 4*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 22*4\/(-2). Let q be 1 + ((-55)\/z)\/(6\/8). Are 9\/4 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1030, -4575, -10494, -18793, -29478, -42555, -58030, -75909?\n\"Answer: -a**3 - 1181*a**2 + 5*a + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*b + 814 + 2076 - 340 = 0. What is the greatest common factor of 50 and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.0046 + 4. Round q to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.21897 litres?\nAnswer: 8218.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1116823261.\nAnswer: 53, 21072137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108057 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 153 = 9. Suppose -19 = -6*a + 35. Calculate the greatest common factor of a and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86 by -537.\nAnswer: -86\/537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 665806, 665815, 665824?\n\"Answer: 9*j + 665797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 8:09 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208704 is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooii when four letters picked without replacement from {o: 3, i: 17}.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 18009 (b) -3 (c) 2 (d) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q + 145 = 100 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 4, 2*u - u + 32 = 4*h. Suppose -2*v + 4 = 0, -h*z + 82 = -3*z + v. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 2174876.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -1. Let k = 16.11 + -16.14. Which is the biggest value? (a) v (b) k (c) 3 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2*w)**(2\/87)\/(w*w**(-7)*w)**(-7\/4) assuming w is positive.\nAnswer: w**(-1007\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/2 - (2 + 0). Let d = -11 + y. Sort -1, d, 5 in decreasing order.\nAnswer: 5, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 842*i - 28635. What is d(34)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 14*i + 2. Let x be q(14). Suppose -7*f = -x*f - 20. Suppose -f*p = -183 + 23. 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: Let i be ((-48)\/36)\/(4\/(-54)). Suppose -2*x - 4 + i = 0. What is the greatest common factor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 7*l**2 - l**2 + 8*l**3 + l**2 - 3*l**2. Let b(s) = 41*s**3 + 20*s**2. Let t(o) = 2*b(o) - 11*j(o). Find the third derivative of t(h) wrt h.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12215310 to the nearest 10000.\nAnswer: 12220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.0994+162917412\nAnswer: 162917412.0994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1495\/4 + -378. Find the common denominator of k and 13\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208072 is divided by 14862?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 11*a**2. Let d(m) be the second derivative of m**7\/2520 + 7*m**4\/4 + 2*m. Let h(i) be the third derivative of d(i). Give g(h(y)).\nAnswer: 11*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 194*i - 108. Calculate y(-3).\nAnswer: -690","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7190?\nAnswer: 2, 5, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15107460 by -6.\nAnswer: -2517910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222 (base 3) to base 16.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 364*z - 129. Is l(9) a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5452468 and 629?\nAnswer: 92691956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1235*s**2 - 20*s - 515*s**2 + 1753*s**2 - 8*s - 71*s.\nAnswer: 3*s**2 - 99*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*z - 2*z = -30, -4*q = -5*z + 5. Suppose -j + q*g + 43 = 0, 2*g = -3*j - 0*g + 61. Solve m - 25 + j = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjufjjfcuutjut. Give prob of sequence ujuc.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -337*z**2. Let d(q) = -11*q**2. Determine d(v(i)).\nAnswer: -1249259*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7*k**2 + 4. Suppose -4*n + 8 = -4. Let d(g) = 8*g**2 + 3. Let x(j) = n*p(j) - 2*d(j). What is the first derivative of x(o) wrt o?\nAnswer: 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*195251393.\nAnswer: -97625696.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 smaller than 35278540?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, y: 2, s: 1, t: 4, u: 3}. What is prob of sequence tis?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 10*g**2 + 2. Let m be (12\/9)\/(22\/165). Let w be j(m). Solve -w*x + 0*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2732 or 147479\/54?\nAnswer: 147479\/54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 275 (b) 13 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 5:53 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-18))\/(484\/(-3267)) - (-11 - 1304\/16)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1164 (base 7) in base 6?\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 645 and 10707.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g. Let j(h) be the first derivative of -4*h**3 - 109*h + 1731. Give j(n(i)).\nAnswer: -48*i**2 - 109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 282 and 543884?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (5*(sqrt(272) - sqrt(17)) + sqrt(17)))**2 - (sqrt(51)*-1)\/sqrt(3) - (1 + sqrt(1377)*-1)**2.\nAnswer: 19*sqrt(17) + 2447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33.2 + -36. Let i = -2.5 - t. Which is the nearest to 0? (a) -4 (b) i (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9 - (5 - 1\/1))\/5. Put -2\/7, i, -6 in decreasing order.\nAnswer: i, -2\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*o - 21 - 3. Suppose 2*w + 2*g - 5*g + 14 = 0, g - 6 = w. Put w, -10, o, 1 in increasing order.\nAnswer: -10, w, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -28870, -115491, -259862, -461983?\n\"Answer: -28875*u**2 + 4*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23070 is divided by 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - s + 413 = 0. Let w = 1917 + -1887. What is the remainder when s is divided by w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40304024*w**4 - 772*w**2 - 20034*w wrt w?\nAnswer: -967296576*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 22)\/(-3) - (5 + (-6015)\/465)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94.68 - 1.32. Let y = 100.1 + u. Let t = y + 0.9. Which is the nearest to -1? (a) -0.4 (b) 0 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 - -32. Let j be 1*0*2*4\/u. Let h be (7\/3 - 2)*6. Solve j = -h*a + 3*a + 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 161506074 - -3?\nAnswer: 161506077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/8)\/(1\/16). Let g = 11 - x. Solve 0 = g*z + 1 + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24956 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 84553 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6649109563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2)\/q)\/q*q**8)**(-3\/20) assuming q is positive.\nAnswer: q**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100557, -192412, -284267, -376122?\nAnswer: -467977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -248*n - 31. Let g(z) = -83*z - 10. Give -11*g(k) + 4*m(k).\nAnswer: -79*k - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -619*t**3 + 164*t**3 - 277*t**3.\nAnswer: -732*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2660 - 55*h + 116*h - 67*h as l*h + j and give j.\nAnswer: -2657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**4\/6 - 3*h**3 - 1945*h**2\/6 + 3*h + 324 = 0.\nAnswer: -36, -1, 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -25, -8, -0.0622?\nAnswer: -0.0622","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -115 - -81. Let p = 34.037 + v. Round p to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*n**4 + 3*n**4 + n**4 + (5*n**3 + 0*n**3 - 3*n**3)*(-3*n - n + 2*n) - 3*n**4 + 3*n**4 + 2*n**4 + (2*n**2 - n**2 - 3*n**2)*(8*n**2 + 22*n - 22*n).\nAnswer: -20*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umiuxumummuuumxuxu. Give prob of sequence mxi.\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158178 divided by 7.\nAnswer: -158178\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 17. Suppose 19*v - 224 = 80. Calculate the least common multiple of c(v) and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 11 + 130 = 0. Suppose -2*k - 80 = -3*m, -2*m + 5*k - y = -4*m. Suppose 0 + m = l. Calculate the remainder when l is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 17*m + 30. Let f(z) = -2*z**2 - 62*z + 2977. Let b be f(26). Calculate x(b).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23665917.4 to the nearest ten thousand.\nAnswer: 23670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 1:30 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 43 - 2*c - 2*c + c. Suppose -4*h + 76 = -2*x, x = 4*h + 281 - 353. Is a(h) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -p + 3*p - 18, -p + 5 = 0. Let q be -1*(-2 + 0 + 3). Let t = q + 4. Solve -t*x - f = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*p**3 + 1527*p**2 - 22044*p - 15372 = 0. What is p?\nAnswer: -183, -2\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + 69. Let k = g + -103.005. Let v = 0.0602 + k. What is v rounded to three dps?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -2*l. Suppose 3*u = -l + 12. Suppose u*i = 132 + 432. What are the prime factors of i?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 f when two letters picked without replacement from fyyffffffeeff.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 4, 0.4, 5, -7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7)\/14)\/((-1)\/2). Suppose -3 = 2*v - z, b - 2 = -5*v. Solve 2 = -3*g - x, -4*g + 4*x = -b*g + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 135 = -b, -h + 50 = 62*b - 65*b. Calculate the greatest common factor of 280 and h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 - 6*p + 20. Let c be s(-16). What is the highest common factor of 36 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j, 0 = -3*u - 5*j + 3*j + 6. Suppose 4*l + 20 = 0, 0 = 2*k + 5*l - 0*l + 17. Solve 0 = u*d - k + 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 8:36 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 40*y = 432, 52*z + 5*y = 56*z - 71. Let j = 0 + 2. Suppose 4\/3*r**3 + 8\/3*r**2 + 2\/3*r**5 - j*r + 0 - 8\/3*r**z = 0. What is r?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8016, 32039, 72076, 128127, 200192, 288271?\nAnswer: 392364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 387162 and 199746?\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**2*p + g**2 - 273*g*p - 5321*p wrt g.\nAnswer: -4*g*p + 2*g - 273*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 + -24. What is the least common multiple of f and 26?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 13, 0.02, 8\/5, 7.2?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -2 (c) 1\/16 (d) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19752 + 538*w + 1426*w - 19752)*(-4 + 0 + 1).\nAnswer: -5892*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/85372 and -11\/442105?\nAnswer: 12378940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 4, -11, -32?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t - 157. Let x(f) = -5*f + 160. Give -3*w(b) - 2*x(b).\nAnswer: -2*b + 151","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**5 - 2*q**2 + 2*q**2)*(-4284 + 8789 - 4070).\nAnswer: -870*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 8:22 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 4. Let p be 1 - (-44)\/(-2) - (1 + -1). Let w(b) = 15*b. Let l(m) = m. Let a(j) = 60*l(j) - 3*w(j). Let f(r) = 3*r. What is k*a(t) + p*f(t)?\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*a + 840721 - 75255. What are the prime factors of a?\nAnswer: 2, 13, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71890589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -865528, -1731054, -2596580, -3462106, -4327632, -5193158?\n\"Answer: -865526*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 1:10 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -50? (a) 0.06 (b) 0.4 (c) 25 (d) -8.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 26. Which is smaller: o or 8\/13?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81083 (base 10) in base 6?\nAnswer: 1423215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + v - 1. Let x(j) = 5*j**2 - 5*j + 2. Let n = 15 + -14. What is n*x(d) + 3*g(d)?\nAnswer: 2*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -33*10\/(-110) - 746\/250. Do k and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 965325.5 micrograms to tonnes.\nAnswer: 0.0000009653255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 h, and 1 m when three letters picked without replacement from {n: 3, o: 1, h: 7, q: 1, m: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 481720934 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + (sqrt(405) - ((2 + sqrt(405))*6 - sqrt(405))) + sqrt(405))**2*-3*-2 + (-3*(3*sqrt(500) + sqrt(405) + -3))**2.\nAnswer: 486*sqrt(5) + 79110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l - 5*f = -18*l + 5, l + 4*f = -7. Let j(n) = -23*n + 5 + 6*n + 8*n**2 - 4*n**3 + 3*n**3. Let p be j(l). Sort -0.3, -0.07, p in descending order.\nAnswer: -0.07, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + -39 + (-2 - (3 - 3)) + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-336)\/(-490))\/(176\/660).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = -3*r + 2*h + 60, 319 = 5*r - 2*h. Let w = r - 19. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 5*h = 12, -y - 2*h - 16 = -4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/((25\/(-15))\/(60\/(-1656)))?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 22 = 3*n, 7*n - 2*n + 36 = -3*r. Let k(i) = 7*i**3 - 3*i**2 - 5*i - 6. Let b(g) = -8*g**3 + 3*g**2 + 6*g + 7. Calculate n*b(v) - 7*k(v).\nAnswer: -v**3 + 3*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 358369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 2134668.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 28957717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6902048*p**3 - 2*p**2*s - 10780*p*s + p - 434*s wrt p.\nAnswer: -41412288*p - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -5*t - 32, -3*z + 0*z - 20 = 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 + w**2 + w**2 - 4 - w**2 + 4 + (-w + 2 - 2)*(-1 + 1 + 2*w) - 3 + 3*w**2 + w**2 + 7.\nAnswer: 2*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 237769743 and 233.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i + 221. Let z(g) = -6*g - 311. Let v(y) = 3*q(y) + 2*z(y). Give v(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-1*3\/(-3)*7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-34)\/10 - -1)\/(18\/120). What is the tens digit of 6\/48*w\/(-6)*1746?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 379*t - 389*t + 360070. What is the ten thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/5 and -52\/5048535?\nAnswer: 5048535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78975 - -78989. What is the remainder when 16*2\/(1 - 0) is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.7534 and 2.\nAnswer: 1.2466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 1793 = 37*v + 29*v - 5*i, 0*i = v - i + 31 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 3*i**2 + 4. Let v be a(2). Let b(p) be the third derivative of -1\/2*p**3 - p**2 + 0 + v*p - 1\/24*p**4. Calculate b(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/51, -2\/429, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6129.60833637 - 0.06.\nAnswer: -6129.66833637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1529366.5 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 468, 426, 310, 84, -288?\n\"Answer: -6*o**3 - o**2 + 3*o + 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g + 14. Let o(k) = -15*k - 70. Let m(u) = 22*c(u) + 4*o(u). Let x be m(-7). Let p = x - -41. What is the remainder when 77 is divided by p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6127653027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - m - 19 = 0, 2*f + f + 4*m = 0. Suppose -11 - 9 = -f*i. Suppose 0 = 2*g + 4, 3*b - i*g - 45 = -2*b. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 15*k + 20 = -5*m, 20 = -5*m - 4*k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 645500187 by 5815317.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 + 88 = 2920*a - 2915*a for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1577720 rounded to the nearest ten thousand?\nAnswer: -1580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, b: 1, a: 9}. Give prob of sequence ja.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 25975506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 7. Let f = 1 - x. What is the third biggest value in -0.5, -0.3, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 93362*a**4 - 47084*a**2.\nAnswer: 2240688*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**2 + s - s**2 + 0 + 1 + 5*s**2 to v + r*s**2 + h*s and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -420509*a**3*f**2 + 136*a**3*f - 85338*a**2*f**2 + 7*a**2*f - 81*a*f**2 wrt a.\nAnswer: -2523054*f**2 + 816*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, g: 6, x: 6, u: 2, q: 2, l: 3}. Give prob of sequence xuu.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1224 or 10.56?\nAnswer: -1224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 13) in base 3?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) + (sqrt(162) + -2*sqrt(162) + -3)**2 + sqrt(162).\nAnswer: 72*sqrt(2) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10\/103 + -2469\/1030. Calculate the common denominator of l and 14\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12850)\/(-20) - (-2)\/4. Suppose -1017 = -4*r + x. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b70e (base 16) to base 12.\nAnswer: 23152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -47395 times 201?\nAnswer: -9526395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 20 = 13*o + 55 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**3\/3 - 5*t**2 + 5*t. Let y be b(7). Solve -6 = -2*z + y*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - y + 2. Determine n(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*x + 4 = 28*x - v - 2, -4*v - 46 = 6*x for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxnnxinhhifxxx. Give prob of picking 1 h, 1 i, and 1 n.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**2\/g))\/g)\/g**(-3\/5))**(-1\/8)\/(g**0\/g*g*g*g**(-1\/7)\/g)**(4\/7) assuming g is positive.\nAnswer: g**(129\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/3 of a day in hours?\nAnswer: 232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60839054\/2199 - -83000\/3. Let l = n + -82577\/10262. Find the common denominator of -115\/294 and l.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/g**4))\/(g*g*g**3*g)*g**(-3\/10)*g*g*g\/((g**13*g)\/g)*g assuming g is positive.\nAnswer: g**(-123\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409498 is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*n + 5*z, 0 = -4*n - 2*z + 18. Suppose -8*d + 2*m + 5 = -n*d, 5*d = -2*m + 5. Do -257 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78527520*r**3 + 106523696*r**2?\nAnswer: 471165120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 20*g**2 - 64*g + 141. Determine b(-15).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 1993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 26\/5 + (-1)\/(3\/15). Factor -1\/5*t**2 + 0 + a*t.\nAnswer: -t*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -7, 0.1, -0.5, 4\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {c: 1, m: 1, g: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -203.239388 to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37913 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7848.639 kilograms in grams?\nAnswer: 7848639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/(-38)*(-8)\/3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 288609024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/7)\/(2\/(-7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**4\/12 + 2*m**3\/3 + m**2\/2 + 172*m - 1. Let y = -10 + 13. Let f(n) = -2*n**2 - 11*n - 3. Calculate y*f(s) + 8*q(s).\nAnswer: 2*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2164*q - 225. Is c(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**4\/24 + c**3\/6 + 8*c**2. What is the lowest common multiple of g(3) and ((-33)\/6)\/((-1)\/2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -5*v**3\/3 + 75*v**2\/2 + 11. Factor t(x).\nAnswer: -5*x*(x - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 + -22 - 20) + (4 + -15 - -2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -625 = -26*f + 129 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4 - (63\/(-6) + 9). Suppose -92 = -2*t + 4*a, -j*a = 9*t - 4*t - 290. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -2\/49, -10, 2\/7?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 322, 361, 400, 439?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 + 13 + 20 - -121) + 5.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3587827 years in decades?\nAnswer: 0.03587827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*t - 604 = 0, 410 = 2*x + t - 6*t. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 - 34. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2928 * -0.54\nAnswer: -1581.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 3*r + 3*r)*(-5*r - 5*r**2 + 23*r**2 + 3*r**2).\nAnswer: -21*r**3 + 5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55695 and 53157.\nAnswer: 20997015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -84 + 155. Let j = 34 - q. What is the common denominator of j and -113\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.2 (b) 2\/15 (c) 6\/13 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 197, 427, 1055, 2279, 4297, 7307?\n\"Answer: 33*u**3 + u**2 - 4*u + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -220, -563, -1076, -1843, -2948, -4475, -6508, -9131?\n\"Answer: -14*b**3 - b**2 - 242*b + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-165)\/6)\/(-11) + 1\/(-2). Suppose i*y = -3*o + 8, 5*y - 2*o - 5 = 15. Let k be (1 - y) + 18\/2. Solve -3*b - 5*z - 40 = -k*b, 3*z + 25 = 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -3. Let t be (6\/8)\/(9\/o). Let r = 0.05 - 0.05. Which is the smallest value? (a) t (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*s - 234 = 0, -5*i = 5*s + 207 + 318. Let n = -63 - i. Let z(v) = -v**2 - 11*v - 3. What is the remainder when n is divided by z(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 - 2*p**3 + 0*p**3)*(-3 - 1 + 5)*(9*p + 16 - 23 + 11)*(4 - 9 - 7).\nAnswer: 432*p**4 + 192*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 8:28 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b38c - 2?\nAnswer: 2b38a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/27)\/(-2 - 384\/(-216)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120) + -2*(sqrt(120)*-2 + sqrt(120)))\/(1*sqrt(864)) - (1*sqrt(320) + 1 + sqrt(320) - sqrt(320))*2.\nAnswer: -31*sqrt(5)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14902 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -189 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 53.89129 to the nearest integer.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 0*n - 4*n)*(5 - 88 - 114)*(-3 - 2 + 7).\nAnswer: 1182*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/13 (b) 2 (c) 0.03 (d) -0.015 (e) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 113.7345 millilitres?\nAnswer: 0.1137345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t + 4*c = 26*t + 4, 4*t + 2*c - 2 = 0. Suppose 688 = 3*k - 5*v, 25 + t = -5*v. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (-5 - (-34)\/2). Solve 0*q - n = 5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 3*j - 4, -4*j - 5*x - 8 = 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 4. Determine s(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 70899.9 rounded to the nearest one thousand?\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*j = 2 - 42 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*z - 169 = 0, -3*y + 87 = 2*z - 16. What is the remainder when y is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -47789 + -4?\nAnswer: -47791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 33*i**2. Let z(l) = 110407*l + 2. What is z(k(a))?\nAnswer: 3643431*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((69*21\/966)\/(-2*3))\/(-1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1461126 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: Which is the nearest to -112? (a) -2\/5 (b) 0.3 (c) -2 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -2 (c) -35 (d) 42 (e) 4 (f) 14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 25 = -29. Solve -2*f + n = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-8)*-8*4\/(-72). Find r, given that 0 - b*r + 2\/9*r**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -367\/55 + 80\/11. What is the closest to x in 2\/17, -0.4, -1\/3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3 + 9 + 7 + c. Let w be a(-7). Which is greater: w or 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1216) - (sqrt(1216) + 0))**2 - sqrt(1216))*-5*-6.\nAnswer: 1440*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -188*f**7\/7 - 9*f**4\/4 + 4*f**3\/3 + 422*f. Find the third derivative of h(g) wrt g.\nAnswer: -67680*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 888213?\nAnswer: 3, 296071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.43 and 16\/34313 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 16445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54721 - 54718. Let 2*w**n + 2\/7*w**4 + 30\/7*w**2 + 26\/7*w + 8\/7 = 0. Calculate w.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81371028?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2587 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 4*o - 212. Suppose o = -3*g - 109. Is 2\/2 - g - 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 q when three letters picked without replacement from qmemmmmmeqeeqmmeeme.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 49, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-3) - 0)*(-840)\/10. Calculate the highest common divisor of 32 and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1089040*m**5 + 5*m**3*s**2 + 23637870*m**2*s**2 wrt m?\nAnswer: -65342400*m**2 + 30*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -g + 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 763030.7 nanoseconds in seconds?\nAnswer: 0.0007630307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d. Let j(p) be the third derivative of p**5\/30 - 3*p**3\/2 + p**2 - 2. Determine j(v(u)).\nAnswer: 8*u**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -15.0124. Round n to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 16273?\nAnswer: 48819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/3369 and -1\/20904.\nAnswer: 23475192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**6\/120 + q**5\/30 + 7*q**4\/8 + q**3\/2 - 17*q**2 - 1. Is b(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 109694605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 4869*h**2 + 12*h - 4865*h**2.\nAnswer: 4*h**2 + 10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**5 + 3140*j**4 + 614648*j**3 - 620936*j**2 - 614652*j + 617796 = 0. What is j?\nAnswer: -393, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23434789111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6*y**2. Let r(k) be the second derivative of k**4\/4 + 31*k. Give v(r(a)).\nAnswer: -54*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-7)\/(35\/(-50)). Let b(v) = v**3 + 9*v**2 + 4*v - 13. Let j be b(m). Is -49 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4288249*b**3*f**2 + 93*b**3 + 2*b*f**4 - 2*b - 19328 wrt f.\nAnswer: -8576498*b**3*f + 8*b*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k*k**(-30)\/k)\/k)\/(k\/k**(2\/37)) assuming k is positive.\nAnswer: k**(-1145\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w + 2*w + 3*w)*(3 + 3 - 4) + 2*w - 3*w + 4*w - 2*w + 1 - 1 + (-2*w - 1 + 1)*(-32 - 10 + 0) in the form q + d*w and give d.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 8 - 20 = 0. Let c(p) be the first derivative of 1\/2*p**4 + 0*p**u + 0*p + 2\/5*p**5 + 0*p**2 - 2. Factor c(m).\nAnswer: 2*m**3*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5\/33 - 107\/165. Put 3\/5, s, 0 in descending order.\nAnswer: 3\/5, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/7))**45)**(-13)*l**6*l**7*l**(1\/2)\/l**(2\/5) assuming l is positive.\nAnswer: l**(12617\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 1\/4, 1\/5, 23, -2, -1.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 + 70. Suppose -t = -u + 3*s, u - 5*s + s - 25 = 0. What is the third derivative of n**2 - n**5 + 5*n**2 + 7*n**u wrt n?\nAnswer: 360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is cc (base 13) in base 6?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 32\/(-24)*9\/(-12). Put -38, a, 26 in ascending order.\nAnswer: -38, a, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 774.9257 nanometers?\nAnswer: 0.00007749257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + -5 + 4 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*w + p, 0*w - 4*p + 22 = 3*w. Suppose w*a + 4*f - 19 = 9, -2*a + 5*f = -19. What is the units digit of (-18)\/(-4)*a\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by (-3)\/((-1 - -3)*(-18)\/312).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**2 + 740*d - 4368 = 0?\nAnswer: 6, 364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -1784*w + 137296. Give t(77).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5153 - -5155. Sort 154, -0.2, r, 1\/4 in decreasing order.\nAnswer: 154, r, 1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589256 is divided by 483.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -7*y**3 + 61*y**2 + 887. Let o(g) = 11*g**3 - 97*g**2 - 1331. Calculate 8*f(x) + 5*o(x).\nAnswer: -x**3 + 3*x**2 + 441","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13798?\nAnswer: 2, 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3999*u**2 + 5*u. Let y = 1 + 21. Suppose -4*s - 17 = p, 6*p = p + s - y. Let c be a(p). What is c rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 6:14 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -14*m - 155. Calculate z(7).\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*h**3*j*n*u - 3*h**3*n*u + 2*h**3*n + 21*h**2*j*n + 3*h**2*n*u - 7*h**2 wrt j?\nAnswer: 12*h**3*n*u + 21*h**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361512131.\nAnswer: 9029, 40039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + 10. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*z**3 + z**2 + 5*z**6 - 106*z - 3*z**6 + 0*z**6 wrt z.\nAnswer: 240*z**3 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*sqrt(75) + 1) + ((sqrt(48)\/sqrt(4)*3)\/(sqrt(4) + (sqrt(120)\/sqrt(3))\/sqrt(10)))**2 + 1.\nAnswer: -15*sqrt(3) + 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09 - 3584.010012.\nAnswer: -3583.920012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65536356 (base 7) to base 16.\nAnswer: -55cccb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*i - 55*i - 9788 + 4805 = 10779 for i.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36620 is divided by 482.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3025413?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/42 - 44\/154?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 55630*o - 111253*o + 17462*o**2 + 55623*o - 2 + 2 - o**2 + (0*o + 2*o - 4*o)*(-2*o - o + o).\nAnswer: 17465*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37772 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 63*p**5 - 2148*p**4 + 22191*p**3 - 66354*p**2 + 62820*p - 5400 = 0.\nAnswer: 2\/21, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*b + 9, 4*r - b + 2 = -1. Let o(v) = v**2 - 2*v + 5. Let i be o(0). Solve r*l + 15 = i*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78\/(-13))\/((1\/(-24))\/((-4)\/36)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -7. Let p = w - -6. Suppose -44 = -j + 3*g, j - p*j + g + 52 = 0. Is j a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -497 less than or equal to -455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 - (63 + 0 + -104 + 85).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 13, l: 2, s: 3}. Give prob of sequence tslt.\nAnswer: 13\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 15. Let t be d(0). Let w = t + 27. Let 8*q - w*q**3 - 6*q**2 - 2*q - 3 + 6*q + 9*q**4 = 0. What is q?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2. Let u(c) = 26995109*c. Determine g(u(d)).\nAnswer: 1457471819843762*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-118)\/(-531)*(-45)\/20*(-124)\/2?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15288 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/1364 and 55\/2976?\nAnswer: 32736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 119684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 - 46. Let q be i\/49 + -43*2\/(-42). Let o = 37\/12 - q. Which is the closest to 0? (a) o (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152602 is divided by 8767?\nAnswer: 3563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -259*r**4 - 107 with respect to r.\nAnswer: -1036*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-85)\/(-102)*(-9)\/(-20)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 12\/(-8)) + 6\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1707, 0.67, 0.3 in decreasing order.\nAnswer: 0.67, 0.3, -1707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221*y = -6*y. Let d(f) be the first derivative of y*f + 0*f**3 - f**6 + 0*f**5 + 9\/2*f**2 - 16 + 0*f**4. Find the second derivative of d(k) wrt k.\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 349 times -0.71?\nAnswer: -247.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9177*p + 9177*p - 107*p**3)*(-2 + 2 + 1) to n*p + s*p**3 + c + y*p**2 and give s.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5230583, 10 in descending order.\nAnswer: 10, 5, -5230583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 756835 or 756836?\nAnswer: 756835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5230.76 years in months?\nAnswer: 62769.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 10. Let t(w) = -4*w. Determine t(z(u)).\nAnswer: -4*u**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 1:49 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3128806 a multiple of 795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 136 - 133. Let 0*r + 4\/3*r**2 + 0 + 2\/3*r**f = 0. Calculate r.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x + 2*f, 10*x - 5*f - 24 = 11*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u. Let h = -4 - -6. Let b be (h\/(-6) - 1)*3. Calculate the least common multiple of 9 and s(b).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + 3730. Does 82 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*c + 112, -3*c + p - 4*p = -111. Let d(b) = -c*b + 3 + 1 + 49*b + b**2 - 6. Let l be d(-19). Calculate the greatest common factor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11bb9 + -9?\nAnswer: -11bc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6)*i*i*i\/i**15*((i\/(i**5*i))\/i)**3)**(-4) assuming i is positive.\nAnswer: i**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 834*h**2 + 25*h - 54. Let m(o) = -209*o**2 - 7*o + 14. Give -11*m(s) - 3*v(s).\nAnswer: -203*s**2 + 2*s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(35)*-1)\/sqrt(7) + -2.\nAnswer: -7 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 661642771?\nAnswer: 17, 23, 1692181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -17. Let i = m + -6. Suppose -i*h + 311 = -y, 2*y + 3*y = 5*h - 400. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -37\/29087104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -25 + 25 + 3?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 7)*1\/(-2). Let c be (-2)\/(2 - (-15)\/(-6)). Suppose -2*f + 3 = 4*g - 5, g = -c*f + 2. Solve -10 = -f*p - r*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3497795805 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-5))\/(44\/(-10) - -5). Which is the nearest to -2? (a) x (b) 2 (c) 85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54*(3\/15)\/((-132)\/(-220))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00087404 rounded to six decimal places?\nAnswer: -0.000874","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110 + 108. Which is the nearest to d? (a) 0.4 (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -685, 0, -0.7, 4, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 9:44 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -2\/3*g**4 + 4\/5*g**5 + 0 + 2\/5*g**6 - 2*g**2 - 8\/3*g**3 + 22*g. Find f, given that y(f) = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -393, 1\/6, -3\/2, -0.3 in decreasing order.\nAnswer: 2, 1\/6, -0.3, -3\/2, -393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 59 + 61. Put 6, w, 0 in decreasing order.\nAnswer: 6, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -56, -15095, -3, -4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3\/3 + 188627*m**2\/3 - 1697704*m\/3 + 3772720\/3 = 0. What is m?\nAnswer: -188636, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -689*x**2 + 1347*x**2 + 180*x - 3*x**3 - 694*x**2 - 192 = 0. What is x?\nAnswer: -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4550864.\nAnswer: 2, 284429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 230 = 4*c, -6*n + n - 106 = -2*c. Let y = c + -40. Calculate the lowest common multiple of 16 and y.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -34 + 18 + (6 + 18)\/2?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2136*o - 1506 = -2280*o + 4667*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -r + 2*l, -292*l = -288*l - 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-11 + 17) - 4 - (74 + -21).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4639800 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6*-473\nAnswer: -2838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**4\/8 + 3*q**3\/2 - 8502*q**2 - q. Let p(o) be the first derivative of 0*o**2 - 3 - 2\/3*o**3 + 0*o. Give p(a(f)).\nAnswer: -18*f**2 + 108*f - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1116677 or -1116635?\nAnswer: -1116677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m = -14*m - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-21) - (-2)\/(-3))*3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - 15*o**2 + 4*o**2 - 14*o**2 + o**2.\nAnswer: -22*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45039*j**5 + 21*j**2 + 19631?\nAnswer: 2702340*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d (base 15) in base 10?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*n + 12*n + 814 - 1159 = 0. Let m(f) be the third derivative of 0*f**3 + 3*f**2 + 1\/6*f**4 - 3\/5*f**n + 0*f + 0. Factor m(p).\nAnswer: -4*p*(9*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*y - 1105 = -y - 17*y for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6033 is divided by 2996.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 158398*i*o**4 - 3*i*o**3 - 300461*i with respect to o.\nAnswer: 633592*i*o**3 - 9*i*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/180 and 83\/4596?\nAnswer: 68940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 175\/3 - 57. Let l = -8 + 10. Let r = l - 3. Which is smaller: u or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q + 14. Let w(b) = 62*b. What is d(w(v))?\nAnswer: -248*v + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a century in years?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -66278955 and -66278955 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*s - 7 - 7 + 12*s)*(9 - 1 + 2).\nAnswer: -40*s - 140","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6964 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -31, -38, -45, -52?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 8*i**2 + 7*i + 6. Let z(w) = 6*w**3 - 41*w**2 - 34*w - 31. Let a(r) = 33*q(r) + 6*z(r). Factor a(v).\nAnswer: 3*(v + 1)**2*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-12 + 9 - -4) + 18 + 1\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -705 = 18*z + 3*z - 684 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8069, 17179, 26287, 35393, 44497?\nAnswer: 53599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -572 + 3*m + 572 - 5*m**2 in the form l*m**2 + z*m + a and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193 = 3*c + 8. Let k = c + 73. Which is bigger: k or 44\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u. Let k(t) = 246*t**2 - 43*t. Give a(k(z)).\nAnswer: 246*z**2 - 43*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 65*o + 83302631 - 399904231. What is o rounded to the nearest 10000?\nAnswer: -4950000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b + 0*b + b)*(3*b**3 + 3*b**3 - 5*b**3) - 6*b**4 + 63*b**3 - 63*b**3 + 3*b**4 - 2*b**4 + 2*b**4 as w*b**3 + g*b**4 + y*b**2 + m*b + z and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + -2)*5\/3. Suppose -8 = -f*d + 52. Suppose 5*v = -0*v + 25, 2*v - 25 = -5*x. What is the greatest common factor of x and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**4\/12 - 7*y**3\/6 + 29*y**2\/2 - 254*y. What is the remainder when 113 is divided by l(-7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*n + 2518*n**2 + 2501*n**2 - 5048*n**2 as r*n + t*n**2 + j and give t.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 8*a + 12. Suppose 0 = -2*y + 7*y + a*s + 2, -5*y = -2*s - 18. Calculate the highest common factor of 10 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55967946*x - 71081322.\nAnswer: -55967946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 8 = 7*t. Suppose -i - 40 = -t*i. Suppose 3*x + 77 = 4*x. What is the remainder when x is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 708 - 92. Let n be y\/((-7)\/((-21)\/6)). Calculate the remainder when 72 is divided by n\/3 - 4\/6.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.49 - -1.49. Let w = 5.73 - 4.73. What is the fourth smallest value in -0.5, f, -3\/2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 95512780?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4658831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 343122594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/7)\/a)\/(a*a**(-2\/77)*a) assuming a is positive.\nAnswer: a**(-240\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7\/2)*(c\/(c\/(c*c**(-3))))\/c)\/(c*(c\/c**(-3))\/c*c)**(-25) assuming c is positive.\nAnswer: c**(237\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 125274 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1731 - 1748. Let t be (-4)\/15 - ((-2)\/(-5))\/1. Which is the nearest to u? (a) t (b) 3\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -898, -1368, -2152, -3244, -4638, -6328, -8308, -10572?\n\"Answer: m**3 - 163*m**2 + 12*m - 748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x - 36 = -6*x. Let l be (x - -3) + 8 + 99. Which is the third smallest value? (a) 0.3 (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7398, 7410, 7430, 7458?\n\"Answer: 4*v**2 + 7394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131125, -259991, -388855, -517717, -646577?\nAnswer: -775435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-6) - ((-583)\/33 - -9). Solve 4*d = 4*t, 5*d - 3*t = -13 + l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l + 13 + 8 - l + 6*l + 6*l - 3*l + (-1 - 2*l + 1)*(1 + 1 - 3) to the form o*l + u and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86407, -345644, -777709, -1382602?\nAnswer: -2160323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g**(4\/7)*g))\/g*g)\/g)\/g**(-4\/19)*(g\/g**(3\/5))\/g**(-11))**(4\/19) assuming g is positive.\nAnswer: g**(26704\/12635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/4996 and (615\/50)\/((-378)\/(-70)).\nAnswer: 44964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 21*l - 10. Let u(m) = -m**2 - 198. Determine u(c(g)).\nAnswer: -441*g**2 + 420*g - 298","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**5\/30 + 19*m**4\/24 + 25*m**3\/3 - 4*m**2 + 23*m. Find the first derivative of o(d) wrt d.\nAnswer: 4*d + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*w = 36*w + 2*m - 320576, -160300 = -4*w - 4*m. Does 74 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3327886 and 442.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - 2*r + 3*r)*(-11 - 15*r + 11) - 19*r**2 + 45*r**2 - 13*r**2.\nAnswer: 43*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n*n*(n\/((n*n\/(n**(2\/41)*n)*n*n*n*n*n)\/n)*n*n*n)\/n))*n*n*n**(-3\/4))\/((n*n**(-3\/5))\/n**5) assuming n is positive.\nAnswer: n**(4837\/820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -178, -422, -1086, -2380, -4514, -7698?\n\"Answer: -35*u**3 + u - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-220)\/(-15) - (-2)\/6. Suppose 5*w + i = 4*k + 57, 24 = 2*w + 2*k. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from {n: 2, l: 5, f: 4}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1541 - 6. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*n + 13. Solve -u + 8 = -4*f, n*f + 2*u + 2*u = -10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194624.54 rounded to the nearest 100?\nAnswer: 194600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -288?\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/2 (b) -6\/41 (c) 0.1 (d) -11 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 72 = 4*m, -5*m = -3*c - 9*m + 53 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 12*b - 1. Calculate j(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 4*l + 36, 0 = 5*m - 3*l + l - 10. Let o(z) = -7*z - 8. Let n(s) = 8*s + 9. Let b(y) = m*n(y) + 5*o(y). Is b(-10) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 0.0806?\nAnswer: 2.9194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -373\/52 at most as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 975 and 160800?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 132*h + 6 = 3*x, 0 = -2*x + 7*x + 17*h + 47 - 32 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 31\/61915?\nAnswer: 31\/61915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*y - 127 + 123 = -8*y + m, -m = 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**6\/90 - 2*d**5\/15 - 11*d**4\/18 - 4*d**3\/3 - 3*d**2\/2 + 3*d + 4. Suppose q(f) = 0. Calculate f.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -786880 - 1.3.\nAnswer: -786881.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -64, -105, -150, -199?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 15*i**2 - i + 35. What is the remainder when 146 is divided by t(-15)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (-25 + (75 - 42))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2 - 3 + 3 + m**2 - 2*m. Let g = 1 - -1. Let y(c) = 8*c - 53 - 10 - 10 - 4*c**2 + 65. Give g*y(n) + 9*h(n).\nAnswer: n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d + -9?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 246 = 2*z + 4*k, -4*k = z - 30. What are the prime factors of z?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17463?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 53434511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 634204086 to the nearest integer?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 430534615?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-11) - 75\/(-11). Let h = -237 + 244. Calculate the greatest common divisor of h and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 233*o**3*y**3 + 385*o**3 - 132979*o**2 - 221195*o*y**2 wrt y?\nAnswer: 699*o**3*y**2 - 442390*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 355091.7kg to milligrams.\nAnswer: 355091700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 1 = a. Let t = -10 - a. Let y(o) = -o**2 - 8*o + 12. Let b be y(-9). Solve b*v = -t*v + 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhph. What is prob of sequence hhhp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*-2*(-5*(sqrt(832) + (sqrt(832) - (-3 + sqrt(832)))**2*-2 + 1) + -3).\nAnswer: -820 + 400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 172*p**3 - 37*p**2 - 35*p + 2. Give k(-1).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 413, 419, 425, 431, 437?\n\"Answer: 6*s + 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 7. Let j(i) = 9*i + 4. Let p be j(l). Suppose c - 338 = -p. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (1 + 3\/(-1)) - 2. Let g be 0*(1 + 0) + 16. Suppose n = t + 3*t - g. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.263 - -97.737. What is the smallest value in -4, i, 2\/7, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*i + 13. Suppose -3*a + i*m + 23 = 9, -2*a = 2*m. Calculate the highest common divisor of 6 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -18. Let d = s + -6.81. Let g = 323.06 - 322.06. What is the nearest to -2 in g, 0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((4 + 2*sqrt(468) + sqrt(468) - (0 + sqrt(468))*-1) + 4 + (sqrt(468)*-1*6 - sqrt(468)) + -4))**2.\nAnswer: -144*sqrt(13) + 4228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 5882809?\nAnswer: -35296854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/133, -5, 0.5, 24.\nAnswer: -5, 4\/133, 0.5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 13*f + 30. Let z be q(-16). Let v(w) = -17*w + 7. Let i be v(6). Let o = i - z. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2114 (base 5) to base 2\nAnswer: 100011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1\/23 (b) -1\/4 (c) -0.137 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011955543078 rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9570 - 26930. List the prime factors of (-36)\/(-66) + y\/(-77).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*(sqrt(119) + sqrt(119) + sqrt(119)*-1*1))\/(1*(-1*sqrt(847)*6 + sqrt(847))).\nAnswer: 3*sqrt(17)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 14*h**2 - 3*h. Let o be g(1). Let q(u) = u - 9. Let j be q(o). Suppose -5866188 = -j*n + 1293812. Round n to the nearest one hundred thousand.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/29, 0, -3\/2, 0.0382, -67?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52.1 - 30.1. Let v = 38.3 + -61.2. Let d = 23 + v. Which is smaller: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140 and 2338?\nAnswer: 23380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 5*m - 12, -c = -0*c - 5*m - 1. Calculate the highest common factor of 671 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2688 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442611 is divided by 1709.\nAnswer: 1689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2917350 by 194490.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/10 + 208\/65. Suppose -3*g + 7 + 9 = -5*i, 3*g + 4*i + 2 = 0. Find the third derivative of n*q**2 - g*q**2 - q**2 + q**3 - 3*q**2 wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a - 3 = 20*a. What is the closest to a in -14, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3758.6 + -3759. Put 5, v, -20, -2, -5 in increasing order.\nAnswer: -20, -5, -2, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(200)*-3 + sqrt(200) + 2 - sqrt(200)*-2*3))**2 + 0 + 2.\nAnswer: 80*sqrt(2) + 3203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3809\/5 - -762. Let r be (-1)\/(-4) - 18\/8. What is the second biggest value in u, 2, -2\/19, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 + 11*l + 14. Determine h(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + w. Let k(v) = -21*v**2 + 11*v. Let o(m) = -k(m) + 5*y(m). Find the second derivative of o(q) wrt q.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236 - 583*x - 231 + 698 - 231.\nAnswer: -583*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 12 = -2*z, -4*v + 12 = -z. Suppose -5*a + v*a = -36. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {k: 1, d: 7, e: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 151152 and 18048.\nAnswer: 1209216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -271*18697.\nAnswer: -5066887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 49988608757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1078484, -1078490, -1078500, -1078514, -1078532?\nAnswer: -1078554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4763865.\nAnswer: 3, 5, 317591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - ((-2 - (51 + -37)) + 0 + 10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*z**2 + 0*z + 974*z**2 + 0*z as r*z + a + i*z**2 and give i.\nAnswer: 987","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1875901 is divided by 250.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r + 6. Give d(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -68253 divided by 266?\nAnswer: -68253\/266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 13. Suppose 3*x - 4 + 16 = 0. What is the smallest value in x, l, -1\/10?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 40*m**2 - 2*m**3 + 8*m**2 - 50*m**2. Determine z(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 4)*(2*j**2 + 2*j**2 - 138*j**2) - 2 + 2 + 2*j**2 in the form v + i*j + g*j**2 and give g.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 219*m**4 + 28*m**3 + 29*m**2 - 6266336 with respect to m.\nAnswer: 876*m**3 + 84*m**2 + 58*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 159*s + 831. Give v(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -29, 2 in ascending order.\nAnswer: -29, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5136 less than -81?\nAnswer: -80.4864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22103223010222 - 3?\nAnswer: -22103223010231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 4*c - c - 2*c**2 + 2*c**2 - 5*c**2 - 4. Suppose 3*f - 45 = -2*f. Suppose f = 2*x + 1. Determine l(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3277.748 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, c: 1, u: 3}. Give prob of sequence uc.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 83486?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**8\/112 + 3*n**7\/70 + n**6\/40 - 7*n**5\/20 + 2*n**3 - 8*n**2. Find k, given that r(k) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3195 + 3*x - 35 - 5*x. Let b be t(0). Suppose u - b = -u. What is u rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -0.4, 4, -1\/579 in increasing order.\nAnswer: -2\/3, -0.4, -1\/579, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 4*u**6\/15 - 441*u**5\/10 + 91*u**4 - 109*u**3\/3 - 8*u + 11. Solve m(r) = 0.\nAnswer: 0, 1\/4, 1, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*v**3 - 36*v**2 + 148*v**3 + 36*v**2.\nAnswer: -17*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 5753.297251 to the nearest 10.\nAnswer: 5750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*b - 11 = 0, 0*l = -4*l + b - 1. Calculate the lowest common multiple of 3632\/52 + l*6\/(-39) and 35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65 - 36 + 267)*(2*s + s**2 - 2*s) - 6*s**2 - s**2 + 3*s**2 + s**2 - 2*s**2 - 2*s**2.\nAnswer: 289*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 7. Let p be (2\/3)\/((-2)\/21). Let j be b(p). Let a(y) = -y**3 - y - 14. What is a(j)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/450 and -115\/54?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5901478339 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*o**3*q + 9*o**2*q + o*q**2 + 12*q**2 + 15*q wrt o.\nAnswer: 81*o**2*q + 18*o*q + q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 18*j**2 - 21*j + 55. Give m(17).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 207500 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -78*x**3 + 4*x + 926 wrt x.\nAnswer: -234*x**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3593559 (base 12) to base 8.\nAnswer: 47516125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by 422934.\nAnswer: 10\/70489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001628 rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*u - 11 + 11712*u**3 - 7 - 17*u.\nAnswer: 11712*u**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 1. Let j be t(-3). Suppose 3*s + j*n - 11 = 0, 0 = 5*s - 2*s - 2*n - 7. Suppose -4*u + 194 = -c, 2 = s*u + 3*c - 151. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 7 + -21 + 37 + -51.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-2*sqrt(121))\/((-2*sqrt(11) + sqrt(11))*6) - (sqrt(77)\/sqrt(7)*5 + (4 + -3 + sqrt(11) - sqrt(11)))**2) + 4.\nAnswer: -272 - 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1293725 = -378*x + 353*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 55*t**4\/4 + t**3\/3 + t**2\/2 - t - 9. Let x be q(1). Calculate the highest common factor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5346.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fz when two letters picked without replacement from zffzt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/14 - (1065\/(-126) - -7)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/1624 - -1619\/8120. Let t be (-12)\/9*15\/70. Which is the biggest value? (a) t (b) w (c) -1\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g. Let l(f) = 5*f. Let p(x) = 4*l(x) + 7*z(x). Let i(r) be the second derivative of 17*r**3\/2 - 86820*r. Calculate i(p(d)).\nAnswer: -51*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8001108 divided by -36\nAnswer: 222253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 100*n**3*r**2 + 2*n**3*r - 3389*n**3 + 11*n**2*r**3 + 2*n**2*r**2 - 1 wrt r?\nAnswer: 200*n**3 + 66*n**2*r + 4*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -2, 5, -3, -4 in decreasing order.\nAnswer: 5, -2, -3, -4, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence veev when four letters picked without replacement from wveevweeeveeevv?\nAnswer: 4\/117","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 4*y - 2*o, 0*y + 4*o = -y + 35. Let l be (878\/(-36))\/((-4)\/(-4)). Let r = l - 127\/9. What is the common denominator of y and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 83488710 and 1086032?\nAnswer: 667909680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 49. Let p be a(6). Calculate the greatest common divisor of 22 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**4 - 10*d**2 - 2*d + 40. Let p(h) = -h**4 - 21*h**2 - 4*h + 79. Let t(z) = 7*n(z) - 3*p(z). What is the second derivative of t(j) wrt j?\nAnswer: -48*j**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.5\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b - b**3 + b - 4 - 2*b - 4 - 2*b**2. Let c = 93 + -98. List the prime factors of i(c).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kknnknk. What is prob of picking 4 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 + 35*u**3 - 50*u**2 - 380*u + 600.\nAnswer: 5*(u - 2)**2*(u + 5)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 18\/11, 9, -1\/6, 0.3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/4)\/((-1)\/80). Let m = -60 - g. Let c(x) = -x**3 + x**2 + 2*x + 19. What is the tens digit of c(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a + 8*a = -5200. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**3 + 906*p**2 - 101232*p - 311904 = 0.\nAnswer: -3, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 21*h**2 + 2330*h - 107. Calculate r(-111).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-32)\/(-64) + (-2 + 0)\/4. Let g(s) = s**2 - 3*s + 5 + 4*s - 2. Determine g(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**9))\/w**5)\/(w\/(w\/(w\/w**(-19)))*w\/(w\/w**(15\/4))*w) assuming w is positive.\nAnswer: w**(-83\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (44712\/4485 + -1*10)\/(1\/(-5))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464 is divided by 4\/((-24)\/(-705)) - (-19)\/38?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51995 to the power of 1\/2, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 12*f + 2254 = -9*f, 5*w = 4*f + 11422. What is the smallest common multiple of w and 3?\nAnswer: 6834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 4*m + 60 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -530*d*v**2 + d*v - d - 73 wrt v?\nAnswer: -1060*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10462 + -9. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(44\/120 + (-2)\/4).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -108970?\nAnswer: -108969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -233, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 529*w**3 - 6*w**2 + 3*w + 1. Is d(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - z - 6, -4*u + 81959*z = 81960*z + 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -834.7*588\nAnswer: -490803.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4\/5)*a*a\/a**(-7))**(-4\/11)\/((a\/(a**(1\/4)\/a)*(a*a\/(a**(1\/6)\/a))\/a)\/(a**(-3)*a*a\/((a*a*a\/(a\/a**(-1\/3))*a*a)\/a*a))) assuming a is positive.\nAnswer: a**(-2471\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3855 is divided by 162.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*i = 188 + 96, -571 = -2*u - 5*i. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15167523*l**2 + 3897623*l wrt l.\nAnswer: 30335046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + x - 1. Let k(j) = 8*j**3 - 2*j**3 + 3 - 9*j**2 - 3*j**4 + 0. Let p(u) = 3*b(u) + k(u). Suppose p(m) = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 152625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -d - 2*d. Which is the nearest to d? (a) 5 (b) -1\/5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3 - 17 = 0. Suppose 0 = 5*p - r*p. Is p >= 1\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126 and 756014?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (246\/(-205))\/(4\/10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.6 - 75.4. Let l = -78.3 - p. Which is greater: l or 0.22?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1542 = -w + 4*l, -61 = -3*w + 2*l - 4727. Let k = -819 - w. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7385*b - 88567. Calculate h(12).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**5\/3 + 116*z**4\/3 - 3379*z**3\/3 + 1088*z**2 = 0?\nAnswer: 0, 1, 51, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2\/9 - 4018*a\/9 + 8012\/3 = 0 for a.\nAnswer: 6, 2003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 797219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*-2*(-4)\/(-8). Suppose 46 = -z*r - 104. Find the common denominator of (-182)\/(-49)*(0 + 2) and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4 + 2*s + 6*s + s**2 - 3*s. Let i be q(-5). Suppose -2*y = -i*y. Solve y = -3*b + 5*l - 2, 0 = 4*b - 2*l - 2*l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**5\/20 - g**4\/6 - g**3\/3 + g**2 + 23*g. Suppose -4*w - 9 = -7*w. Let p = 6 - w. Calculate l(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**3\/6 - 6*n**2 - n. Let d be s(-12). Suppose -10*l + 11*l - 163 = d. What are the prime factors of l?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -459 divided by 17.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**6\/120 + d**4\/8 + 13*d**2. Let g(i) be the second derivative of i**5\/20 + 5*i**3\/6 - 5*i. What is 3*g(n) - 5*p(n)?\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-14)\/4 - -3)*-10. Suppose 4*i - 508 = 2*m + 2*m, -680 = -a*i - 4*m. What is the greatest common factor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3745, -4691, -5637, -6583, -7529?\n\"Answer: -946*a - 2799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 + y - 2. Let k(b) = -2118*b**4 + 6*b**3 - 1548*b - 6. Let s(w) = k(w) - 3*z(w). Find the second derivative of s(j) wrt j.\nAnswer: -25416*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23553353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3026\/680973 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7 + 0.4. Let u = 0.4 + -0.3. What is the closest to u in -2\/5, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/3)\/(116\/29)*(-18)\/1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 122041 (b) -2\/213 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 0 - 9*h - 7 + 11.\nAnswer: -9*h + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r + 9. Let h be n(-2). Let o be 4 - -1 - (2 + h). Solve 3*j - 11 = o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2437 + -2434.258. What is f rounded to 1 decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 197, 298, 3, -60 in increasing order.\nAnswer: -60, 3, 197, 298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -27657.31 to the nearest one thousand.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 5*s + 44, 38*t = s + 33*t - 12 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5}. What is prob of sequence aa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4771*o + 804 = 4783*o. What is the remainder when 187 is divided by o?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -421 - 321 = 2*n. Which is bigger: n or -370?\nAnswer: -370","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 135, 153, 175, 201, 231, 265, 303?\n\"Answer: 2*b**2 + 12*b + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -5. List the prime factors of (1*a)\/((-6)\/(-30)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 15*u + 132 + 60 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -15*o**3 - 9*o**2 + 13*o - 15. Suppose 2*f - 39 = -f. Let t(d) = 7*d**3 + 4*d**2 - 6*d + 7. Determine f*t(i) + 6*l(i).\nAnswer: i**3 - 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -55*h + 15. Let q(o) = -8*o + 2. Let d(l) = 3*b(l) - 20*q(l). Let y(m) = -3*m**2. Give d(y(r)).\nAnswer: 15*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggjgjggjjjg. What is prob of sequence gj?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g. Let t(u) = 2*u + 2. Let k(j) be the third derivative of j**4\/12 + j**3\/2 + 3*j**2. Let l(h) = -2*k(h) + 3*t(h). Give l(a(z)).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7271 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 87970297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 2 + -1 + (75 - 86).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -1)**2 + sqrt(171)\/sqrt(36) + 4.\nAnswer: -11*sqrt(19)\/2 + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 172 and 328652?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**5\/5 - 192*t**4\/5 + 4289*t**3\/5 + 7398*t**2\/5 - 96228*t - 484056\/5 = 0. What is t?\nAnswer: -9, -1, 18, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, -9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 58799\/(-390) + 1\/6. Let v = 151 + s. Let h = -4.91 + -0.09. Which is the nearest to v? (a) 3 (b) -0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53.3 - 52.3. What is the second biggest value in r, 2, -0.57?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2773 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(4 - 4 + 2)*(-4*k + 0*k + 18*k + 3 - k - 3 + (-5 + 4 + 2)*(-k - 3*k + 2*k) + 0*k - 2*k + 3*k + 1 - 1 + 2*k + (0 - 2 + 1)*(k + 0*k + 0*k)).\nAnswer: 52*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1633.3 + 1633. Which is the biggest value? (a) w (b) -4 (c) 1\/2 (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21272326 greater than or equal to -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1. Suppose d + 2 - 1 = f. Let u = -94\/65 + 11\/13. Which is the biggest value? (a) 8\/3 (b) d (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of 2*w + 0*w**4 - 1\/75*w**6 + 0 - 1\/50*w**5 + 0*w**2 + 0*w**3. Suppose a(i) = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b - 3. Let v be u(-6). Suppose -4*r = -3*m - 19, 1 = r - v*m + 3. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/24)\/((-1)\/(-48)). Suppose y - 4*u = 150, 3*u - 79 = -y + p. Suppose 4*f - 182 = y. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + -31. Let o = -2.067 - -1.967. Which is the biggest value? (a) h (b) -0.01 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2543279, -2543281, -2543283, -2543285, -2543287, -2543289?\n\"Answer: -2*x - 2543277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10411011 is divided by 70342.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 6) in base 2?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from {n: 6, g: 6, x: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*v + 52*v**3 + 76*v + 38*v.\nAnswer: 52*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 161.7 - 162. Let y = 3 + -3. What is the nearest to y in m, 3, 7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/454 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 19\/2. Let h = -309.8 + 308.8. What is the closest to z in -4\/15, 4, h?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-39 - 41 + 79 + 75*r)*(r + 5*r + 0*r) as c*r**2 + q + v*r and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {s: 3, f: 1, l: 4, h: 2, b: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, x: 2, v: 3}. What is prob of picking 1 x and 1 a?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + sqrt(171)*-4*4)\/sqrt(9) + (sqrt(19) - 1*(sqrt(2299))**2)*4.\nAnswer: -9196 - 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 73334.8 micrograms?\nAnswer: 73334800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -107 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6ddd8 + -44?\nAnswer: -7003c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2484bb (base 12) to base 9.\nAnswer: 1106348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y = 0. Solve 0*z - 1\/2*z**4 + 0 + y*z**2 + 1\/2*z**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3585 = -36*f + 38*f, -4*t - 5*f + 2868 = 0. Solve 4*a = -713 + t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -3*h**4\/4 - 15*h**3\/2 - 99*h**2\/4 - 30*h - 12 = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 347528 or 347526?\nAnswer: 347528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/12 (b) 2\/9 (c) 2\/7 (d) -31 (e) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 5 = u. What is the remainder when u is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-14 - (-710)\/50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -0.4, -1.6, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1603300 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84 - -187. Let v = -9 + n. What are the prime factors of v?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010010100001 + -10?\nAnswer: -11010010100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76312 is divided by 25434.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(-1 - -3))\/(-2). Suppose 0*i - 2*c = i - 7, y = -5*i + 5*c + 20. What is the tens digit of 26\/(-5)*i\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 2*c**7\/21 - 2*c**6\/5 + 3*c**5\/5 - c**4\/3 + 3*c. Solve x(b) = 0 for b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(28) - (-1 + sqrt(28)))*2 + sqrt(336)\/(1*sqrt(12)) + (sqrt(28) + 1*sqrt(28))**2*4.\nAnswer: 2*sqrt(7) + 454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -4*o - 18, -23*z - o = 2*o + 3848 - 3790 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-1)*1 - -1. Suppose v*g - 596 = -2*q, 3*q + 584 = 4*g - q. Does 30 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 1545*y - 4168. Does 189 divide m(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 6:13 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 3, 1 in decreasing order.\nAnswer: 16, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -49087 (base 15) to base 7\nAnswer: -1660210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + -3 + 6 + 0. Let q(m) = -m + 17. Let v be q(12). Suppose 0 = h*r - v*r + 90000. What is r rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65067954?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -4*n**5\/5 - 41*n**4\/8 - 33*n**2. Find the second derivative of o(r) wrt r.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {i: 7, f: 4, s: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -226, -465, -752, -1087, -1470, -1901, -2380?\n\"Answer: -24*l**2 - 167*l - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470444 is divided by 31?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -68407\nAnswer: -3\/68407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/5, 1\/4, 47.32, 4, 0.27?\nAnswer: 47.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a*d - 10*a + 5929*d**3 + 361 wrt d.\nAnswer: 2*a + 17787*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33704?\nAnswer: 2, 11, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 106639.146 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a - 6. Let t be b(-3). Let h be t\/14*(-224)\/6. Round h to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4923 - 4934. Suppose 11 = -2*j + 3*f, j = 5*f - 16 - 0. Let m be j - (-11 - -1) - (-10 - r). Calculate the greatest common divisor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i**2. Let a(h) be the second derivative of -h**3\/2 + 4*h. What is b(a(d))?\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3257 is divided by 72.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -39*z**2 - 9*z + 9. Let f(v) be the third derivative of -v**5\/6 - v**4\/12 + v**3\/3 - 3*v**2. Let p(h) = 9*f(h) - 2*m(h). Calculate p(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353918 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3078943422 and 11042.\nAnswer: -3078932380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47943085 and 7?\nAnswer: 335601595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0483638642 - -0.6009?\nAnswer: 0.6492638642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4859, -4891, -4923?\nAnswer: -4955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z - 46 = -2*a, -4*z + 52 = 4*a. Calculate the least common multiple of a and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(171) + 1*sqrt(171))*-1*-4)\/((sqrt(576) + (sqrt(576)*1 - sqrt(576)))*3).\nAnswer: -5 + sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1253914.6 to the nearest 10000.\nAnswer: 1250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*1 + (-12)\/4. What is the third derivative of -p*m**3 - 2*m**2 + m - 2*m + m wrt m?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11 + 2\/(-4)*(1 - 3). Let p be (-1 + -2)*(-4)\/o. Suppose -q + p = -0*q. Is q at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.3 + 9.7. Let d be (2\/12)\/(4\/(-6)). What is the smallest value in 4, u, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*0.286344\nAnswer: -0.143172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-2) - (-4050)\/270.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b + b - 2*b)*(0 - 2 + 1 + (-2 - 2 + 5)*(-2 + 4 + 0) + 3 + 0 + 0) + (-211 - 1492 + 294)*(3 - 3 - b) as x*b + q and give x.\nAnswer: 1417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.7727 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 721 and 412.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -125 - -128. Let i = -0.1 - -0.6. Which is the third smallest value? (a) i (b) f (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2436314 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 59610 = -3*a + 4*m, 0 = m - 5. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167061 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 28*o**2 + 13618*o + 2334. What is h(-486)?\nAnswer: -2526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from wppwvpowkqvkpppppvp?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r - 2*r + 2*r + (1 + 5 - 5)*(-3 + 3 - 1)*(311 - 311 + 520*r) to the form i + s*r and give s.\nAnswer: -518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(21\/22 + -1). Suppose -3*v + 20 = -5*q, -4*v + 2*q = -0*q - j. Suppose v*c + 5 = 2*u, -u - 6*c + 2*c = -9. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 2:36 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -102 - 120. Let w = p + -71. Let z be (-1 - (-2 + 0)) + 4. Solve w + 2 = -z*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**5\/105 + 4*z**4\/21 + 32*z**3\/21 - 22*z**2. Determine q so that g(q) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 765162743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - h = 2*h + 397, 3*j = 4*h + 595. Solve -j*p = -193*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16525, 35922, 55321, 74722, 94125, 113530?\n\"Answer: c**2 + 19394*c - 2870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*b = 816, 0 = -4*m + 4*b + 621 + 2547. Let u = m - 35839\/45. Calculate the common denominator of u and (-2)\/4*-89 + (-6)\/(-3).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 11:11 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4\/5, 4\/3, -1\/6, -1509, -16, -4, -5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**3\/5 - 868*j**2\/5 - 9504*j - 46656\/5 = 0. What is j?\nAnswer: -108, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 4*o + 11*o - 3 as b + a*o and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-15\/8)*z**(5\/17)*z*(z*z**(3\/14))\/z*z\/z**(-20) assuming z is positive.\nAnswer: z**(19643\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 41*o - 567. Let i be q(52). Let w = 37 + -112\/3. Is i bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + sqrt(720)))**2.\nAnswer: 18000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -101100 (base 2) in base 7?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z + 90 = 13*z. Let a = z - -63. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uph when three letters picked without replacement from {p: 2, h: 3, u: 7}.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**27)\/w)\/w**(-2\/11))\/(w**(2\/61)\/w*w)**11 assuming w is positive.\nAnswer: w**(17997\/671)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2\/3*p**3 + 0 + 148*p**2 - 8214*p = 0.\nAnswer: 0, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-10)*r**(1\/20)\/r*r)**(-3\/4) assuming r is positive.\nAnswer: r**(597\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.00286 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, j: 2, q: 1}. Give prob of sequence jjrr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 609 = 4*z + 617, -4*u = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5476.702ng to milligrams.\nAnswer: 0.005476702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*u - 425 + 62*u + 68*u + 425.\nAnswer: 90*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -588*p**3 + 671*p**2 + 713*p**2 - 353*p**3 wrt p?\nAnswer: -5646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*l**3*q**4 + 4*l**3*q - l**3 + 15*l*q - 699939*q**4 - 544 wrt q?\nAnswer: 348*l**3*q**2 - 8399268*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 253\/2 - 125. Which is the nearest to -0.2? (a) -1\/4 (b) s (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: f504 (base 16) to base 4\nAnswer: 33110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110010 + -100202122?\nAnswer: -102012202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*t**3 - 8*t**2 - 15*t**3 + 37*t**3 - 2 + t in the form y*t**2 + r*t**3 + l*t + z and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 2)*(-941*r**5 + 69100*r**3 - 1473*r**5 - 69100*r**3).\nAnswer: 7242*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2982 to 2 dps.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -207\/176 equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 384127587 + -2\nAnswer: 384127585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*b = 0. Let l be 18\/(-45) + -1 + (-64)\/(-10). Solve -l*f = -b*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 658 is divided by 169.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2227, 2281, 2353, 2437, 2527, 2617, 2701?\n\"Answer: -b**3 + 15*b**2 + 16*b + 2197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/10)\/((-1)\/275). Let t = 21 + -13. Let p be -1 + -2*(-44)\/t. What is the highest common divisor of a and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - -1013?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwowwwo. What is prob of sequence oow?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 5:01 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1137 - 1136. What is the third biggest value in m, 0.2, -14, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 702901902 to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6272766 (base 8) to base 3\nAnswer: -10010202212221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*o + 4 - 4 + 37*o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.57 + -0.77. What is the closest to 0 in t, 3\/2, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxt when three letters picked without replacement from {t: 3, x: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 12*b**2 + 183*b - 19. What is t(-21)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (42\/(-4))\/(27\/(-36)). Let o = x - 4. Let z be (-11)\/(-6) - (-9 + o). Which is the third biggest value? (a) z (b) -0.4 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 1:26 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5263 + -4?\nAnswer: -5267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 118*g - 120*g + 10, -2*r - 3*g + 11 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (7 + -4 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence un when two letters picked without replacement from {n: 10, u: 2}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 59*r = 58*r - 13, 4*r = -4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 6 = 4*n - 2, -n = 2*s - 2. Let y be (4\/(-10))\/(2\/(-10)). Suppose 12 = 2*z + k, 2*k + y*k - 8 = 0. Sort s, -3, z in increasing order.\nAnswer: -3, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -0.3 (c) -0.1 (d) 8 (e) 154\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -11, -277 in ascending order.\nAnswer: -277, -21, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrri when four letters picked without replacement from riirrrrirrrrir.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11840 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 10*t + 16. Let k be z(8). Solve k*f + 3 = 3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 326894489?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -10*g + 91. Let m be x(9). Let h(s) = -s**3 - 4*s**2 - 4*s - 1. Let i be h(-3). Let r(b) = 14*b**i - 23*b**2 + b + m + b. Give r(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29045992663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x. Let y(l) = 29*l - 1945. What is j(y(i))?\nAnswer: -87*i + 5835","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from ekekeeeeeeekek.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -11*g**3 + 18*g**2 + 29*g + 1. Let m(b) = -7*b**3 + 12*b**2 + 19*b + 1. Let k(h) = 8*m(h) - 5*n(h). Let s be k(7). Is ((-3)\/2)\/(s\/(-52)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2157*s + 6465. Give z(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 278.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 1812390880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 31\/(10695\/(-858)) - (-36)\/15\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 124*f + 210. List the prime factors of z(4).\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 43. Suppose q + 2*y = 14, 1 = q + 3*y - p. Suppose 11*g - q*g - 90 = 0. Calculate the lowest common multiple of g and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-3)*((-147)\/14)\/(-7). Let z be -2*10\/(-4)*(11 + -10). Solve z*s = -5*v + 5, 2*v + d = 4*s - v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(6 + -14) - -8. Suppose 1909 - 534 = d*b. What are the prime factors of b?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 + 62195\nAnswer: 62194.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10892 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(20\/9)*w\/((w\/(w*w**(-6)))\/w) assuming w is positive.\nAnswer: w**(-47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64\/9 + 65\/18. Let r = -0.8115 + 0.6115. Sort r, j, -1\/4 in decreasing order.\nAnswer: r, -1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w**2 + 6\/7 + 3\/7*w**3 - 9\/7*w = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*x - 4, 0 = -x + 5*d - 9*d + 6. Let l = 4 - 4.1. What is the nearest to 0.1 in l, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 8*h**2. Let p(m) = 17*m**2 + 40*m + 59. Give p(a(c)).\nAnswer: 1088*c**4 + 320*c**2 + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(42) - (sqrt(42) + sqrt(84)\/sqrt(2)))*5 + sqrt(42))*4)\/(sqrt(726) + -6*sqrt(726)*1).\nAnswer: 16*sqrt(7)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3\/7, 12860684\/9 in descending order.\nAnswer: 12860684\/9, 0.5, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -16*y**2 - 9*y + 9. Suppose -5*k = -3*f + 7*f - 56, -3*f + 23 = -k. Let z(v) = -4*v**2 - 2*v + 2. Calculate f*z(p) - 2*x(p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**3 - 363 - 2*d**3 - d**3 + d**3 + 3*d**3 + 2*d to r*d**2 + f*d**3 + q + u*d and give q.\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + t**2 - 2*t + 5. Let m be i(4). Let q be -4*(-4 - m\/(-12)). What is the greatest common divisor of q and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*k - 6703 = 3097, -2*k + 2 = 0. Let q = u + -1399. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2482300588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**5\/210 + j**4\/42 + j**2 - 1. Factor d(r).\nAnswer: -2*r*(r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*12286\nAnswer: 36858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(99))**2 + sqrt(99) + -4*(sqrt(11) - 1*sqrt(33)\/sqrt(3)) + (sqrt(110) - (3*sqrt(110)*3 - sqrt(110)))\/(sqrt(70)\/(sqrt(7)*3)).\nAnswer: -99 - 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3273807?\nAnswer: 3, 1091269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-87)\/18)\/29*18 + -33.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*j**3*s**3*t**2 - 4*j**3*s**2*t**2 + 3*j**2*s**2*t**2 + 8*j**2*t + 2*j*s**3*t**2 wrt j.\nAnswer: -24*s**3*t**2 - 24*s**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**4 + 4*i**2 - 4*i**2)*(60 - 170 + 69).\nAnswer: -164*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/5460*28)\/(-1).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -200644 (base 7) in base 4?\nAnswer: -20102110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 4*b**2 - 3*b + 6. Let q be u(4). What is the common denominator of (-832)\/(-36)*q\/(-8) and -61\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 4*n**2 + 8*n + 6. Suppose -3*l = -2*s + 8, -2*l - 20 = -7*s + 2*s. Suppose 2 - 4 = b - s*p, 4*b + 29 = -5*p. Is r(b) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**27*g*g**30)\/(g**(-11)*g*g**(-1\/39)*g) assuming g is positive.\nAnswer: g**(2653\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -125, 5, -22, -15, 3, -1.\nAnswer: -125, -22, -15, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k - 2*k**3 - 96*k**2 + 94*k**2 + 0*k.\nAnswer: -2*k**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - j = -1, -6*j + 4 = -4*n - 5*j. Let z be (-3*22\/138)\/n. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.293493837 rounded to three dps?\nAnswer: -0.293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -3013010?\nAnswer: 3013012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-162) + 551\/5814?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51925*f - 8807*f - 282374*f - 189312*f.\nAnswer: -428568*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + 53044235?\nAnswer: 53044246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z**2 + 8*z + 4. What is i(5)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -313, -616, -919, -1222?\n\"Answer: -303*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 - (1 - 2) - 8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -754 (base 9) to base 15.\nAnswer: -2b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 76540 to the nearest 1000.\nAnswer: 77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 39788.707702.\nAnswer: 39786.707702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 274272139?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + sqrt(200) - (sqrt(2) + sqrt(8))**2*5)*-6.\nAnswer: -60*sqrt(2) + 538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2 - 46\/(-22)). Let c = h - 8. Suppose -1 = 2*n - 3*j, c*n - 22 = j - 6. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 852586202 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -114 + 39. Let r be c\/(-20) - (-2)\/8. Solve 4 = r*w - 3*m - 3, -4*w = 2*m - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y - y - 4*y)*(-1 + 1 + 2*y) + (-3 + 3 + y)*(y + 5*y - 4*y) to the form i*y + s + r*y**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -490 divided by -98.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - z + 5*z - 161 = 0, -167 = -3*l + 2*z. Does 28 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1887 - 844. Suppose c = -5*s + 26388. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j. Let f(i) = i + 74735023. Determine f(l(p)).\nAnswer: p + 74735023","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 64, 93, 124, 157, 192, 229?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 3:40 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/29 and -97\/273934?\nAnswer: 273934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*a + 17 + 92*a**4 + 30 - 5*a wrt a.\nAnswer: 1104*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**4\/2 - 11541*o**3 + 50477427*o**2\/2 - 11260288494*o = 0. Calculate o.\nAnswer: 0, 596, 3549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -647.326 and -2.1.\nAnswer: 1359.3846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64232948?\nAnswer: 2, 13, 1235249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 1000*j**2 - 4052*j + 3048.\nAnswer: 4*(j - 3)*(j - 1)*(j + 254)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g. Let p(x) = 17*x**2 + 3135*x - 7. Determine h(p(v)).\nAnswer: -17*v**2 - 3135*v + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -0.909\nAnswer: 0.1818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2\/(u**(4\/7)*u))\/((u*u**(-3))\/(u\/u**(-3\/4)))*((u\/(u\/(u\/(u**5\/u))))\/(u*u\/((u\/(u**(1\/3)\/u)*u)\/u*u)))\/(u*u\/(u*u**1*u))**(1\/51) assuming u is positive.\nAnswer: u**(2663\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4148417?\nAnswer: 7, 13, 45587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13*12\/390 - (-31443)\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 + 19*u**3 + 50*u**2 + 32*u.\nAnswer: u*(u + 1)*(u + 2)*(u + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**2*o**3*p**3 - g**2*p**3 + g**2*p**2 - 3*g*o**2 - 86*o**3*p**3 wrt o.\nAnswer: -12*g**2*p**3 - 516*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/(-8) - (-2)\/(-8). List the prime factors of t\/(-15) - 204\/(-20).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 14 = -3*n - 3*d, -103*n + 21 = -99*n - d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**3 + 4*q**2 - 3. Let v = 64 + -56. Suppose u - 3*r = 6, -2*u + 10*r - v*r + 8 = 0. Let m(o) = 9*o**3 - 11*o**2 + 8. What is u*m(y) + 8*w(y)?\nAnswer: 3*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17*20\/8*12\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20121 (base 4) to base 3\nAnswer: -201220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 - 91*t**3 + 20*t**3 + 16*t**3.\nAnswer: -56*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u + 1. Suppose 4*m + 150 = -m. Let l = m - -52. Let n be (-26)\/22 + 4\/l. Calculate v(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 + -113. Calculate the common denominator of 21\/w + (-6)\/(-4) and 1\/7 - (-314)\/(-42).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*m**3 - 45*m**3 + 299*m**2 - 2*m**4 + 0*m**4 + 30*m**3 + 7*m**4 as t*m**2 + i*m**3 + s*m**4 + j + g*m and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 11) in base 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.09 - 13.91. Let d = h + 88. Let k = 73.9835 - d. What is k rounded to 3 decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 + -69. Let o = -38 + k. Let d = o + 49. Which is the third biggest value? (a) 1\/4 (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 5*n + 2*n)*(0*n - 1 - 1 - 2*n)*(-3 + 4 - 5 + (3 - 4 + 3)*(2 - 1 - 2) + 3 + 3 - 5 + 2 + 0 + 0 - 1 + 3 + 1 + 1 - 3 + 3).\nAnswer: 6*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(2 + 2) - 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -522*l**4\/5 + 5662*l**3\/5 - 13728*l**2\/5 - 2328*l\/5 + 224\/5 = 0. What is l?\nAnswer: -2\/9, 2\/29, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 45 = -2*m. Let d(r) = r**3 - 16*r**2 + 16*r. Let l be d(15). What is the greatest common factor of l and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*z - 3014 + 1494 = 1782 for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 880 divided by -5?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -266\/335 + -2\/335. Let m be (-6)\/(-14) - (-29)\/(-203). Let o = -2 - 0. Which is the closest to o? (a) m (b) i (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425*x + 81992 = 5*a - 421*x, -a + x = -16393. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 1)*(-23253*b + 23253*b + 208*b**4).\nAnswer: -624*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - (15\/(-3) + 2). Let u(r) be the first derivative of -2 - 1\/2*r**2 - 5\/3*r**3 + 0*r. Give u(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6197636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 58914.85mm?\nAnswer: 58914850000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 29 = 3*o, 27*v + 4*v + 6 = 28*v - 2*o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3480, -38, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25096.5 - -25097. Let k = -0.38 + 2.48. Let l = k + -0.1. Which is the closest to 1? (a) -2 (b) t (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-3 - (-22)\/6). Let p = -4 + n. Let f(w) = -w**2 - w - 1. Let q(z) = z + 1. Let h(v) = p*q(v) - f(v). Let i(r) = -r**2. Calculate i(h(b)).\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 5*d + 17, -7 = 5*y - 5*d + 13. Sort 6, 3, y in decreasing order.\nAnswer: 6, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, z: 5, i: 6}. What is prob of picking 1 i and 2 z?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-6) - (-3101)\/(-84). Let y = t - -37. What is the third biggest value in 3\/7, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-37)\/(-7) - 1 - 12\/42. Suppose -3*v + 0*y = 3*y - 9, -2*y = v - 2. Differentiate -5 - 8*t**q + 2*t**v + 0 + 0 with respect to t.\nAnswer: -24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2339118 and 3508677.\nAnswer: 7017354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107289272 is divided by 3381?\nAnswer: 3380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 3*q**2 + 7*q - 8. Let a be t(4). Let j(d) = d**2 - 2*d + 4. What is j(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 2196435020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -4250.048 to the nearest one hundred.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 31 - 11. Let x be (-6)\/(-1) - (3 + -3). List the prime factors of ((-8)\/x)\/(o\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.18 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 251 + -249. Which is the biggest value? (a) 0.5 (b) t (c) -4 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -41*y - 2. Let j(g) = g + 64. What is k(j(f))?\nAnswer: -41*f - 2626","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 12*z**2. Let r(n) = -4819*n**2 + 3*n + 2. What is r(g(l))?\nAnswer: -693936*l**4 + 36*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2132*w**2 + 2082. Let u(m) = 1067*m**2 - 1040. Let z(t) = 5*u(t) + 3*x(t). What is the derivative of z(c) wrt c?\nAnswer: -2122*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4769572?\nAnswer: 2, 29, 41117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 3:06 PM?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.03 + 0.03. Suppose 5*j + 20 = -2*q, -4*j - q + 1 = 4*q. Let b be (-28)\/(-49) + -7 - j. What is the third smallest value in p, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 1.99. Let n = k + -0.09. Let l = n - -0.2. What is the third smallest value in 1\/5, l, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2094 - 2539?\nAnswer: -455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-22))**(-9)*(r**(-14\/3)\/r)**(23\/4))**33 assuming r is positive.\nAnswer: r**(21835\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1690 divide 3754145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 18*a**2 - 19*a + 3. Let n be q(-19). Suppose 2*w = n*p + p - 18, -13 = -3*p + w. Solve 4*l + 5 = 5*u, 0 = p*u - 2*l + 5 - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z + 0 + 1\/6*z**3 + 5\/2*z**2 + 1\/4*z**4. What are the prime factors of m(4)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 177808841\/2 and 88904422 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 964450517 take away -0.6?\nAnswer: 964450517.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(44)\/(sqrt(8)\/sqrt(2)) - sqrt(11)) + -1*(-2 + sqrt(891) - sqrt(891))**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180 + 18*o - 7*o + 361 - 181.\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 919\/5 - 182. Let z(k) be the second derivative of 2\/15*k**4 + 4\/5*k**3 + 0 + 2*k + c*k**2. Factor z(n).\nAnswer: 2*(2*n + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and 51.68 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 215*v**2 - 109*v**2 - 5 - 104*v**2 + 5. Let w(g) = 645*g**2. Calculate y(w(k)).\nAnswer: 832050*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1444\/259 + 21\/37. Find the common denominator of -37\/33 and z.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 19*x - 17. Suppose 3*u - 6 = 30. Is i(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 74*n**2 - 83*n + 2279. What is the units digit of g(28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*f - 55*f - 2. Suppose p - 1638 = -f*p. Suppose -50*d + 44*d = -p. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 18*r - 215. Calculate v(16).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -37, -51, -101, -199, -357, -587, -901?\nAnswer: -1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121435404.\nAnswer: 2, 3, 47, 139, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*i + t + 1 = -188*i, -4*i + 3*t - 2 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 379818360?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31*-47.\nAnswer: -1457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27025 is divided by 233?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9\/5 - 2. Let o = -6023\/2 + 3088. Let x = o + -78. Put x, -0.4, j in descending order.\nAnswer: j, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 smaller than 8420?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1845822 greater than -1845865?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(10\/3))\/((-39)\/884*-2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 2*j = 4, 14*y - 56 = -339*j + 336*j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/130874 and -73\/654370.\nAnswer: 654370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*t + 47 + 28 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 32200.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -1 + 0*o - 1\/2*o**2. Let v(r) = -r**2. Determine v(u(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10648 and -254?\nAnswer: 10902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -8*f + 17. Let d(s) = 23*s - 51. Suppose 0 = -17*h - 86 - 16. What is h*d(v) - 17*a(v)?\nAnswer: -2*v + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 2, 46 in descending order.\nAnswer: 46, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96688.\nAnswer: 2, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -644 + 643.9. Let k = 5 - 8. Let z be k*(-1 - 69\/(-81)). Put 4, z, o in ascending order.\nAnswer: o, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53 and 475357.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-132)\/(-3168) + 1\/(-24). Let o = 129\/1261 - -5\/97. What is the nearest to n in 4, 3, o, -8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (30\/24)\/(2\/(-8)). Let t be 9\/r + (-2)\/10. Let m(v) = v**3 + 5*v**2 + 3*v + 1. Calculate m(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -31*m - 5. Let q be o(3). Let c = 102 + q. Suppose 0 = -c*k - 5*v + 1663, -2130 = -3*k - 2*k + 4*v. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 53206 = -7*g, -2*q = 2*g + 3*q - 15231. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1436252173 take away 0.3?\nAnswer: -1436252173.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -94 times 2\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r - 1. Let x be b(2). Suppose x*w - 13 = 2. What are the prime factors of (-4)\/(1 - w) + 12?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221210 - 0?\nAnswer: -1221210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from junoojud. What is prob of picking 2 u and 1 d?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*a + 137*a + 41*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 30 + 23 = -n, 4*n - 28 - 18 = 13*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11700 = 1124*n - 1136*n. List the prime factors of n.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**3 + 4724*a**2*j**3 + 49*a**2*j - a*j**3 - 238996*a*j**2 + a*j - 2*a - 3*j**3 - 2*j wrt a.\nAnswer: -18*a + 9448*j**3 + 98*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - -6. Let o be (-3)\/10 + 104\/80. Sort o, 5, 3, d in descending order.\nAnswer: d, 5, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = r - 0*r - 2, -3*k = -3. Solve 2*y = -4*g + r, 3*g - 17 = -2*y - 2*y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 19*h - 4092. List the prime factors of h.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggplgglllpglgg. Give prob of picking 2 p.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -235*s**2 + 60*s**2 + 58*s**2 + 62*s**2 + 58*s**2. Let x(j) = 2*j**2 - 309. Give q(x(p)).\nAnswer: 12*p**4 - 3708*p**2 + 286443","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 174*l - 790. What is the remainder when 93 is divided by i(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/23166 and 187\/180.\nAnswer: 231660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 17 times -7214.7\nAnswer: -122649.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y**3 + 7*y**3 - 44*y + 88 - 13*y**3 - 5*y.\nAnswer: 2*y**3 - 49*y + 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -835 greater than or equal to -835?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12208?\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 130*o**5 + 2*o**3 - 30*o**2 - 58 wrt o.\nAnswer: 7800*o**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -826 divided by 6302?\nAnswer: -413\/3151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4538592 by -54.\nAnswer: 84048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5991509027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d**3 - 240*d**3 + 14*d**3 - 20*d**3.\nAnswer: -233*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and (1\/(-1) - 1) + 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 352?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2*82323.672\nAnswer: 164647.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 960 + -1960685299.\nAnswer: -1960684339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -1\/9, -105.\nAnswer: -105, -2, -1\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 10:54 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3696\/13552)\/(6\/(-44)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7 and 1901402.4135.\nAnswer: 1901395.4135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -1 - (-17)\/((-102)\/24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 536 and 591476.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 5326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 593 - 593.0002452. Round w to 5 decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-one halves of a year?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 1. Let m be g(0). Which is the closest to 2\/7? (a) 0 (b) m (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vcacvvvcaccacccccaa. What is prob of sequence vavc?\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -31*y + 65*y + 34*y**2 - 36*y. Let z(d) = 2*d. Give b(z(t)).\nAnswer: 136*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2317803 (base 12) to base 15\nAnswer: 8d5ad6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.985978 to zero decimal places.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b + 150. Determine j(-26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 8 in increasing order.\nAnswer: -1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -1\/12*i**5 + 96*i**2 - 1\/8*i**6 + 0 + 5\/336*i**8 + 5\/12*i**4 + 1\/42*i**7 + 0*i**3 + 0*i. Let h(g) = 0. Calculate g.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.527 take away 243.53138?\nAnswer: -213.00438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81 + 78.66. Let x = 2.3399901 + k. What is x rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uul when three letters picked without replacement from {u: 5, l: 3, c: 3}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**3 - 3*u**2 + 19*u + 91. Let x be z(-4). Suppose 2*k - x = 3*c - 2*c, -3*c + 252 = 3*k. Does 27 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 + -54 - (-1 + 15).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2721.1075565 - 5.9067535. Let x = -2727 - m. What is x rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.62639 millilitres in litres?\nAnswer: 0.06462639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 204759632 a multiple of 616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o = 0. Let d = 3 - 1. What is the units digit of (2 - o) + d + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 4:49 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**3\/3 + 7*t**2\/2 - 53. Let x(l) be the third derivative of -l**4\/24 - l**2. Give -2*w(f) - 14*x(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(-3*(sqrt(4) + -4*sqrt(4))) - sqrt(78)\/(sqrt(6) + (sqrt(384) - (-1*sqrt(384) - sqrt(384)) - sqrt(384))).\nAnswer: 8*sqrt(13)\/153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 2220?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 - 1206*y**2 + 135360*y - 2756832.\nAnswer: 3*(y - 188)**2*(y - 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39 - 55) + (3 - -28) + 1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-22)\/1232*-296?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -17*r**2 + 17. Let k(t) = -8*t**2 + 9. Let d(y) = 3*b(y) - 5*k(y). What is the derivative of d(n) wrt n?\nAnswer: -22*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eighty-one halves of a week?\nAnswer: 6804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16198, 16093, 15918, 15673, 15358, 14973, 14518?\nAnswer: 13993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*f - 2 + 0 + 25*f + (0*f - 5*f + 4*f)*(3 + 2 - 2) + (3 - 3 - 1)*(f + 0*f + 0*f) as s*f + h and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oze when three letters picked without replacement from {a: 11, e: 5, o: 1, z: 3}.\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 20, 0 = -5*q - a + 3*a - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5*j**2. Let w(i) = -2*i**2 - 8*i**2 - i**2 + 3*i**2. Determine y(w(d)).\nAnswer: -320*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2 + 2 + 1. Let o(z) = z**2 + 5*z + 3. Let w be o(-4). Let y(k) = -2*k - 3. What is w*y(m) - 4*s(m)?\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from usienngussuneunenuu?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -239)*(-85)\/51. Let x = v + 398. Solve -k - x*k = -20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(12\/(-480)*-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven quarters of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.065 + 0.065. Sort 2\/7, s, 0, -3\/16 in descending order.\nAnswer: 2\/7, 0, -3\/16, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 6 - -2 - (1 + -11)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(288) + -1)**2 + sqrt(288) + 5.\nAnswer: 12*sqrt(2) + 293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2583*k - 5069*k + 2565*k.\nAnswer: 79*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81501 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -292*q - 790*q - 3246 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 56*m**2 + 70*m - 23. What is the thousands digit of z(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.6 + 1.75. Let a = 4.85 + r. What is the nearest to -1\/2 in -2, a, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*m + 417 = -283 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeh. Give prob of picking 1 e and 1 a.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2361 take away -2?\nAnswer: 2363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 15425?\nAnswer: -15425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 3:57 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - u - 132 - 123 = 0, -5*u = -4*i + 1020. Does 17 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92433*j - 92428*j = 5*i + 35, -j = -8*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -19 - (4\/(-10) + 15\/(-25)). Let z be (-14)\/(-22393)*(-14)\/n. Let y = 179597\/8226 + z. What is the common denominator of -45\/46 and y?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 184.83705 minutes?\nAnswer: 3.0806175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*o - 1489 - 1526. Solve -9*i = -22 + o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6806 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(1088)*-1*4*2.\nAnswer: -64*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**3*v**3 + 400075*c**3 + 14*c**2*v**3 + 4*c*v**2 + 61*v**3 + 18*v wrt c.\nAnswer: -12*v**3 + 2400450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2139 - 2139. Sort -2, p, -4, -134 in increasing order.\nAnswer: -134, -4, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/49)\/(i*((i*i*i**4*i)\/i)\/i)*i**(-13)*i**(2\/43) assuming i is positive.\nAnswer: i**(-40021\/2107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2227125\/28 + 79564. Let i = -165\/7 + w. Let j = 4.93 - -0.07. Is i >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**4 + 3*w**2 - 3*w**2)*(-9627 + 3536 + 1334 - 7793).\nAnswer: 25100*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*l + 252 = 0. Suppose -5*o + p + 150 = 3*p, -o = -2*p - 18. Let t = o - 21. What is the highest common factor of t and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 5, 2*f - m + 3*m = 266. Is 33 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + l + 3*l - 654, 3*j - 1026 = 3*l. List the prime factors of j.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*h - 1629 - 1804 = 284*h - 24466 for h.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + -22 + -13 + (20 - 5)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1265266 and 50293.\nAnswer: 2647","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 9*n**2 + 25*n - 77. Let i be l(7). Let q(a) = -2*a**2 - 3*a + 17. Give q(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24 or -187\/8?\nAnswer: -187\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 352184790 to the nearest one hundred thousand.\nAnswer: 352200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -922, -3649, -8220, -14635, -22894?\n\"Answer: -922*x**2 + 39*x - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvvayaaaayyaa. Give prob of sequence va.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - (-8)\/(-3))*3. Suppose 0 = -6*j + j + 15. Let k(v) = -v - 3 + 3 + j*v + 3. Give k(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**20*g**21\/g)\/(g*(g**(-2)*g)\/g)**(8\/13))**(-18) assuming g is positive.\nAnswer: g**(-9504\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + r. Let b be z(-1). Let t be -12*(b + 6\/(-8)). Suppose -4*j + 45 = -3*j. What is the greatest common divisor of j and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 + -100?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 48622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11442, 2, 0.2?\nAnswer: -11442","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -15.562.\nAnswer: -15.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13872, 27748, 41620, 55488?\nAnswer: 69352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + -18. Let d = 35 + c. Calculate the highest common factor of 72 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4266960 and -4771.9.\nAnswer: 4262188.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is t in t**5 - 463*t**4 + 8435*t**3 + 463*t**2 - 8436*t = 0?\nAnswer: -1, 0, 1, 19, 444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3638554 by 83.\nAnswer: -43838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 1\/3*n**2 + 0 + 2\/9*n**3 + 2*n + 1\/18*n**4. Factor t(o).\nAnswer: 2*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/((962\/(-78))\/37).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 0*v**2 + v**2 - 1 + 2. Let a be x(-1). What is the second derivative of -3 - w + 3 - 2*w**a wrt w?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*(sqrt(162) - -3*sqrt(162)) - (-2 + (sqrt(162) + 0 - sqrt(162)))) + -5 + 1*(sqrt(162) + 0)*-6)*-5)**2.\nAnswer: 40500*sqrt(2) + 3645225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47662541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**2 + 3225*d - 111698532 = 0. Calculate d.\nAnswer: -6663, 5588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -142 in 0.1, 2\/3, -24, -2?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o - 3*o - 2*o)*(-3 - 5 + 5)*(-5 + 5 - 7) to the form k + s*o and give s.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17046 divided by 2.\nAnswer: -8523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -11 - (3 + 15)) + (-2 - -48).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - ((-18)\/6 + 5). Let l(b) = -1 - b**2 - 5*b + 6 + 1 - b. Let a be l(-7). Sort a, n, -2 in decreasing order.\nAnswer: a, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*w + 517 = -90*w - 905 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5 + -4 + 1*(3 + (sqrt(13) + sqrt(130)\/(sqrt(10) + sqrt(10) + sqrt(90)))*5))**2*2.\nAnswer: 96*sqrt(13) + 967","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbdrbrrbbd. What is prob of sequence rrr?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.70952ug in nanograms?\nAnswer: 94709.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + (sqrt(80) + 0 - sqrt(80)) + -3)**2*6 + 1.\nAnswer: -144*sqrt(5) + 535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 2*o - 7. Let k(p) = 14*p + o*p - 30*p - 8. What is the tens digit of k(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 214 and 191418?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003257757 to 7 dps.\nAnswer: -0.0003258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1207 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210*j - 208*j - 14 = 0. Suppose j*a + 15 = -13. Let k(s) = -2*s - 4. What is k(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2133?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99738 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40957961 - 118737127129\/2899. Let z = -2\/223 + v. Let x = 746 + -701. What is the common denominator of x and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 11:19 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/6 + 680 + 1. Suppose -2*c = 11*c - y. Calculate the remainder when c is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2\/5, 2\/7, 3, -3, 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*o + 2. Let v = 87 + -85. Suppose k = -x + 36, -172 = -5*x - k - v*k. Calculate the lowest common multiple of x and o.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24725772 times -0.4?\nAnswer: -9890308.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1495665 and 1215?\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -225*o + 2546. Let l be w(10). Calculate the greatest common factor of l and 168.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 56109, -6, -2\/5, -12, 1\/3 in decreasing order.\nAnswer: 56109, 1\/3, -2\/5, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20916 and 742?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 3:35 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 0 - 15\/16*x**4 + 13*x - 375\/8*x**2 + 3\/80*x**5 + 75\/8*x**3. Factor j(r).\nAnswer: 3*(r - 5)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 41*f**2 - 99*f - 74. Let o be n(-43). Solve -493 = 4*g - o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2930077 milligrams in grams?\nAnswer: 0.0002930077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**4 - 335*m - 459 wrt m.\nAnswer: -4*m**3 - 335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 835 in descending order.\nAnswer: 835, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46167110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 24 = 4. Let x be 344\/28 - f\/14. Let m be 2\/(-4) - (-14)\/x. Which is the second biggest value? (a) -0.4 (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1517, 3048, 4579, 6110, 7641?\n\"Answer: 1531*j - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1290.7*0.5.\nAnswer: -645.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 170 - 192. Let r(q) = -2*q**2 - 47*q - 42. Let p be r(f). Let w be -1 + -1 + -3 + 61. Calculate the greatest common divisor of w and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + -33 + 1 + -2 + -10 + -2 + 2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-35)\/10*(-5)\/(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*f**5 - 2*f**4 + 39219*f**2 - 10363675*f?\nAnswer: -580*f**3 - 24*f**2 + 78438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.18*-0.01.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 - 3*w - 3. Let l be z(3). Suppose -10 = -4*d + l. What is the third derivative of d*b**2 + 4*b**5 - 3*b**2 - 4*b**2 wrt b?\nAnswer: 240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-348)\/18)\/(0 - -10) + -2?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 9*q - 10. Suppose 0*s + 2*s = -c + 9, 3*s = -5*c + 38. Let f be l(c). Solve f*h + 4 = h - 2*x, 12 = -5*h + 2*x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 25 = 23, -5*s - 4*z = 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5 = 0, -5*h + 85 + 328 = -3*t. Let o be ((-354)\/(-9))\/(-2) - (-13)\/(-39). Let w = o + h. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 0, -7, -14?\n\"Answer: -7*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23\/31 in -0.4, -4, 1\/2, 0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a**2 - 1. Let x be y(1). Suppose 3*j - 2*j + x = p, 5*j = 3*p - 20. Suppose 3*i - 1 = -2*h, -3*i - 14 = -h - p*h. Solve 0 = -2*v + h - 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 636.56 kilometers to micrometers.\nAnswer: 636560000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -152*j**2*l**3 - 986*j**2*l**2 + 158*j*l**2 + 4203*l**3 wrt l.\nAnswer: -912*j**2 + 25218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*n = -2*v + 44, 4*n + 20 = 0. Calculate the remainder when 59 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 316094.6 seconds in microseconds?\nAnswer: 316094600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*y - 157*y**2 + 4 - 4 + 154*y**2 as c*y**2 + l + q*y and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/135))**(-3\/2) assuming r is positive.\nAnswer: r**(-1\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235341?\nAnswer: 3, 79, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.9 - 18. What is the closest to o in 2, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.431 + 0.031. What is the closest to 2\/7 in s, 2, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -26*o - 1020. Calculate s(-53).\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i**3 + 10*i**2 + 10*i + 11. Let f(s) = s**3 - 2*s**2 - 2*s - 2. What is 11*f(n) + 2*j(n)?\nAnswer: n**3 - 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -14*p - 13. Let j be r(-1). Calculate the greatest common factor of j and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -17*f**4\/24 - 5*f**3\/2 - 14*f**2 - 1. Let t(n) be the second derivative of k(n). What is the first derivative of t(q) wrt q?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-11)\/(-88)*0 - (-46785 + 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 0*s**5 + 0*s + 0*s**6 + 16*s**2 + 0*s**4 + 13\/210*s**7 + 0 - 5\/3*s**3. Find the first derivative of d(x) wrt x.\nAnswer: 52*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/1430*((-41)\/((-21033)\/288) + 4\/38).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/20)\/((-10)\/(400\/(-45))). What is the closest to -2\/5 in -3\/4, -2\/7, 46, n?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -5\/12, 0.6, -3 in decreasing order.\nAnswer: 0.6, 0.3, -5\/12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.3128 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1212216 + -16?\nAnswer: -1212233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 25 = -10*y + 5*y, 3*d + 25 = 5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -650.5 to the nearest 10.\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1747 divide 18933637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 7*k - 21. Solve 3*l + 2*y = -l - 2, 3 = 5*l - k*y for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 430*u**2 - 2*u**3 + 1040*u**2 - 1470*u**2 + u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45031751 + -1?\nAnswer: -45031752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347614?\nAnswer: 2, 173807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -6358\nAnswer: -5\/6358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 1829999*b**2 + b. Let v(m) = 2*m - 1. Let d be v(1). Let s be p(d). What is s rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 15. Let a be (0 - 3)*(-99)\/(-27). Let y = a + s. Let c(h) = h - 1. Determine c(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -138, -195, -236, -261?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -16*f + 17*f**2 + 41 - 31*f**3 - 17 + 17*f**3 + 15*f**3. Let o be r(-18). Let b = o + 7. Sort 4, 18, -4, b in descending order.\nAnswer: 18, 4, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (171 + -164 - (-1 + -3)) + -28?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 9) + (36 + 2 - 19)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*n**3 - 13*n**3 - 15*n**3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 876, 799, 644, 375, -44, -649, -1476?\nAnswer: -2561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 6\/19, -10\/9, -0.02, 1\/7?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -149.2 minus 8?\nAnswer: -157.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 6*w**2 + 3*w - 5. Let p be o(-5). Suppose p*v + 0*v = 130. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvmvunnmnnvnv. Give prob of sequence mvm.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1.7 (b) -0.1 (c) 769\/6 (d) -1 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, d: 12}. What is prob of picking 3 z?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3695 divided by -3.\nAnswer: -3695\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**4\/5 + 116*b**3\/5 - 126*b**2 = 0. What is b?\nAnswer: -63, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.3, -3\/7, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 12*g - 15. Calculate the remainder when x(-12) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6302784, -6302785, -6302786, -6302787, -6302788?\nAnswer: -6302789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 338\/(-7) + (-10)\/(-35). Let h = 80 + m. Let x = -16 + h. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 4\/25*w**5 + 0*w + 0*w**3 - 1\/420*w**8 - 2\/15*w**4 - 9*w**2 - 13\/150*w**6 + 4\/175*w**7 + 0. Factor y(z).\nAnswer: -4*z*(z - 2)**2*(z - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 1218*m + 2440. Calculate i(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from {t: 1, i: 3, o: 4, j: 1, e: 2}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*x - 166 = 0, -251 + 183 = -2*l - x. Solve 5*b + 30 = 36*g - l*g, 2*b = 3*g + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 2\/15 (c) 0 (d) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6714, -6553, -6332, -6021, -5590, -5009, -4248?\n\"Answer: 5*u**3 + 126*u - 6845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z - 16*z - 63 = 0. Solve 5*h = 2*t - 12, -2*h + 5*h = 3*t - z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*g = 0, -c - 4*g = -5 - 8. Let a(n) = -c*n - 27 + 10 + 18. Let r(t) = t. Give a(q) + 6*r(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379 is divided by 351.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 6.39 (b) 3 (c) -1 (d) -1\/6 (e) -26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 119 + -85. Let c = -32434 - -32434.1. Is c at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 16*x**2 - 30*x + 30. Let s be i(1). Solve -7*t - s = -11*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**3 - 22486*b**2 - 269454*b + 1010790 = 0.\nAnswer: -11231, -15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 5:39 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 115900 and 115901 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) 0.07 (b) 0.04 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 59. Suppose 0 = 2*n + 2*n + 4*r + 4, 5*r + g = n. Suppose 2*p = n - 0. What is the remainder when 2 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2118 times 5.35?\nAnswer: -11331.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(16)\/sqrt(32))**2*6 - (3*6*((sqrt(72) - (-1 + sqrt(72)) - sqrt(72)) + (1 + sqrt(2))*1 + sqrt(2)))**2.\nAnswer: -11589 + 5184*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 631785300 a multiple of 202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 3*q - 89 + 94, 4*o = 3*q + 17 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 295*x + 1. Let t(h) = -292*h - 1. Determine 2*t(w) + 3*u(w).\nAnswer: 301*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005128 to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 12*a - 31. Determine m(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -152*j**7\/21 - 16*j**3\/3 - 163*j. Find the second derivative of w(v) wrt v.\nAnswer: -6080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1480 or -1162?\nAnswer: -1480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5954728 to the nearest integer?\nAnswer: 2440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2898061 is divided by 2898058?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -w - 1. Let p = -9.84 + 9.74. What is the closest to w in p, -3\/5, -1\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189219.\nAnswer: 3, 63073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -181 - -181. Let g = 4 + 0. Suppose -3*y - 2 = g. Sort y, t, -1.\nAnswer: y, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 1:54 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(6) - -1*sqrt(6)) + (sqrt(12) - -5*sqrt(36)\/sqrt(3)) + sqrt(12))\/((sqrt(384)*-2 + sqrt(384))*-2) + 2.\nAnswer: 15*sqrt(2)\/32 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1564.96 - -1565. Put b, -0.3, -0.24 in increasing order.\nAnswer: -0.3, -0.24, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.13 + -0.87. What is the closest to b in -128, -1\/7, 0?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (195\/(-270) - (-2)\/9)*322 - -8. Let f be 310\/(-2) - (-1 + -1). Is o <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.1297590202 and -913.7.\nAnswer: -912.5702409798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 215347473 to the power of 1\/2, to the nearest integer?\nAnswer: 14675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.09 + 0.15. Let r = 99594 - 99593.760004. Let z = n - r. Round z to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1820 and 321.\nAnswer: -1499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (34 - 22) + -5 + (1 - (5 + 3))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/((-5)\/492374) + 2. Let f = b + 292372. Round f to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 58623*t**2 + 63977 wrt t.\nAnswer: 117246*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 8:12 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12013765 divided by -5\nAnswer: 2402753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27815011.\nAnswer: 7, 397, 10009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 3 = -14*s + u, s - 3 = 2*u. Suppose -s*z - 4*h = -0*z - 13, -5*z = -5*h - 10. Solve -6 = z*f + 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -897299*h**3 + 387*h - 123?\nAnswer: -5383794*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*u = -48, -2*s - 21 = 2*u - 93. Let f = -38 + s. Suppose 8 = n + 2*k, 5*n + k + 20 = 6*k. Put -1, n, f in increasing order.\nAnswer: -1, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4117, -4125, -4143, -4177, -4233, -4317?\nAnswer: -4435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 4*y - 71, 11610*y - 59 = 11606*y + g for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 0.6. Let u be 25\/((-1000)\/288) - -8. Let v be -2 + 3 + (-13)\/15. What is the biggest value in v, u, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-23 + 9) - (5 - 17).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((39\/(-182))\/((-96)\/(-28))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.09 + -0.1. Let m be (372\/(-120))\/(-31) - ((-627)\/(-270) - 2). What is the third smallest value in m, r, -1\/12?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/((80\/(-15))\/4). Let u(q) = 5*q - 4. Give u(b).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -64*u + 1407 - 191. Solve 0 = 8*z + u*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 2*y**2 - 14*y + 16. Let p be l(-14). Suppose 35*i = 2546 + p. List the prime factors of i.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18833 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - -35.99944. Round j to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**5\/60 + 7*h**4\/24 + h**3 - 5*h**2. Let m be k(-6). Solve m*r - 4*r = -12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**3 + 21*k**2 + 13*k - 10. Let t be i(11). Solve t*f = -80 + 68 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*i + 24. Let l = -97 + 92.9. Let t = l - -4.5. Which is the biggest value? (a) 2 (b) i (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 611563241*w + 417169632 wrt w.\nAnswer: 611563241","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50.984 + 6.744. What is x rounded to the nearest integer?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2. Let u be 2\/1*(42 - -7). Suppose 5*q - 4*l - u = 0, -3*l = -q - 0*l + 13. Let i(t) = q - 22 - 7*t. Give i(a(n)).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 177 and 7375.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/70? (a) 2 (b) 4 (c) -32465 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 + 2*w**3 - 2*w**3 + (-3 + 3 + 2*w)*(3*w**2 + 3*w**2 - 4*w**2) - 24*w**3 + w + 14*w**3 + 31*w**3.\nAnswer: 24*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, c: 3}. Give prob of picking 1 x and 2 c.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46657 + -46656.9. Let x = 2 + -3. Which is the fourth smallest value? (a) 10 (b) x (c) -2 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 9*a = -13*a + 29 - 5, 7*y - 25*a - 12 = -16*a - 11*a for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u\/(u**(-7)\/u))\/u))\/(u*u\/((u**(1\/2)*u*u)\/u*u)*u*u))**(-13\/7)*(u**(2\/7))**(-15)\/(u**0*u**4*u*u) assuming u is positive.\nAnswer: u**(103\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001213 to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1019 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s. Let a(q) = 2*q**2 - 2695*q + 2. Give g(a(n)).\nAnswer: -4*n**2 + 5390*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 e when four letters picked without replacement from {e: 7, m: 4, i: 7}.\nAnswer: 49\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 10*d + 280. Let c be a(-28). Let i = 6 - 3. Suppose 5*t + 45 = 5*k, i*k - 5*t = 7*k - 54. Solve c = -2*p - 5*r - 1 - 19, 0 = -3*p + 2*r - k for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2162 is divided by 923?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1567*a = 1563*a + 24 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 66 = 4*u, 0*z - u - 69 = -2*z. Calculate the highest common factor of 140 and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.023 = 4.77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100302133000 (base 4) to base 13.\nAnswer: -bb12c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 2. What is the lowest common multiple of (0\/6)\/(-2 + 0)*1 - -8 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c**2 - 258*c - 174. Let i(n) = n. What is i(s(f))?\nAnswer: -3*f**2 - 258*f - 174","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 + 3*d - 1. Let v = 98 + -100. Let y(r) = r**2 + 4*r + 3. Let t be y(v). Let g(i) = -i**2 + 1. Let f(c) = t*z(c) - g(c). Calculate f(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4661.758 micrometers to kilometers.\nAnswer: 0.000004661758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*s + 2*q + 1217, -2*s - 4*q = -636. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.2411 days in seconds?\nAnswer: 3736031.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.1, 13\/79, -3, -0.1, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfffmffmmfmfmm. What is prob of sequence fm?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21827?\nAnswer: 13, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11766 divided by -2\nAnswer: 5883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1289497.9 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79163 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3043245 and 811532?\nAnswer: 12172980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16231 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75.2 + 74. Let z = f + -18.8. Let k = z + 20.0000032. What is k rounded to 7 decimal places?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from rlxysrlxlr?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 6*f**2 + 5*f. Let b(i) = i**2 + i. Let z = -209 - -210. Give z*y(o) - 6*b(o).\nAnswer: o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*sqrt(76))\/((sqrt(4) + sqrt(324))*4).\nAnswer: -sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 210890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1610, -2695, -3780, -4865, -5950?\n\"Answer: -1085*b - 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-312)\/(-54))\/(((-384)\/(-72))\/4)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*g = -1, 3*x - 3 - 33 = -4*g. Calculate the lowest common multiple of x and 52.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 1:32 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45446 and 12028?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69 - 51. Let h = 11 - m. Let l(z) = z**3 + 6*z**2 - 8*z + 2. Let i be l(h). Which is the smallest value? (a) 3\/4 (b) -2\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1440 divided by -1591?\nAnswer: -1440\/1591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.17 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, e: 1, z: 6}. Give prob of sequence mmmz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 738 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0 = 33. Let g = 27 + t. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -14*g**3\/3 - 82. Let f(k) = -24*k + 33. Let l(z) = 5*z - 6. Let c(j) = 2*f(j) + 11*l(j). Give n(c(b)).\nAnswer: -686*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 times -3?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 6 + 4. Solve -5*t - 4*y - g = 5, -y - 1 = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1110 by -5.\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 374130535 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d - 2*v = 32*d - 35, -3*d = v - 21. Solve -4*z + d = -3*y + 2, 0 = -3*y + 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1032.78 rounded to the nearest ten?\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 21 = -b. Let k = b - 7. Let w be (k\/12)\/(3\/6). Is w equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1552148*r**3 - 1783117*r.\nAnswer: -9312888*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 0)*(0 - 2). What is the third derivative of -y*z**6 - 3*z**2 + 2*z**2 + 0*z**6 wrt z?\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s - s**2 + s - 2 - 8 - 6*s. Let u be w(-10). Let d = 44 - u. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135 divided by -45.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -262604, -525248, -787892?\nAnswer: -1050536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 1 + 3. Let v = -12.1 - -12. Let a = 0.44 - 0.24. What is the closest to x in -1\/12, a, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 3*n + 4*v + 14, 4*n = 2*v + 10. Solve 4*x - 12 = -4*u, 6 = x - u - n for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 899098?\nAnswer: 2, 449549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1382)\/(-691)*(-7)\/(-6)*(-12)\/(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 17*t**2 + 8464*t + 947. Determine j(-498).\nAnswer: 1943","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20064825 to the power of 1\/3, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 7, i: 12}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(-35)\/(-20) - -5. Let t(o) = 5*o - 97. Calculate t(c).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 357*i**3*x**3 + 2*i**3*x**2 - 6*i**3*x - 208*i**2 + 14*i*x - 143*x**5 wrt x.\nAnswer: 2142*i**3 - 8580*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*f - f - 165, 5*n - 3*f - 273 = 0. Let o be n + -2 - (-5 - -5). What is the highest common factor of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 8*x. Let u(p) be the second derivative of p**4\/12 - 7*p. What is u(z(d))?\nAnswer: 64*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0507921 rounded to three dps?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {g: 5, t: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -11*s - 1. Let v be j(-2). Suppose -1 = -14*c + 13*c. What is the lowest common multiple of c*(-4 + 5 + v) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-30) - (-222)\/23310.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/432 and 70\/1719.\nAnswer: 82512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2561276, 5122551, 7683828, 10245107, 12806388, 15367671?\n\"Answer: c**2 + 2561272*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 3*v + 2 - 11 = 0, v + 4 = -2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + -31b7d?\nAnswer: -31b77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28201992 and 12086568.\nAnswer: 84605976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -29. Which is smaller: -6\/11 or z?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, e: 4}. What is prob of sequence eb?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 1. Let h = -12 + 18. Let m(i) = 2*i - 2. Let j(q) = h*k(q) + 2*m(q). Suppose 3*s + 0*s - 15 = 0. Give j(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 179.101 + -179. Suppose 0 = 1256*x - 1228*x. Sort -0.1, q, x.\nAnswer: -0.1, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**2 - 42*h + 300. Give s(8).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 93459229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -98994766*y**3 + y**2 + 31522174*y wrt y?\nAnswer: -593968596*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -30 + 2b96?\nAnswer: 2b66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4 + -1 + (sqrt(272) + 0)*-3*2)**2 + -1.\nAnswer: -144*sqrt(17) + 9804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1773 and 42.\nAnswer: 24822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 414 and 28290.\nAnswer: 84870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -4*a + 5*x + 5, 30 = 2*a - 4*x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 147*c**3 - 2*c**2 + 1. Suppose 0 = 22*m - 4296 + 4274. Calculate p(m).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f. Let o = 13 - 19. Let z(x) = -x**3 - 6*x**2 + 6. Let c be z(o). Let l(u) = c*u - 7 + 7. What is l(r(q))?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 7\/31, 5 in increasing order.\nAnswer: -1, 7\/31, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 442250 (base 6) to base 10.\nAnswer: 36822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 + -23. Suppose -2*j + 27 = -5*g, 2*j + o = 6*j - 3*g. Let r be -1 - 88\/(-2) - 1. Calculate the greatest common factor of r and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 90732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**3 - 5*q**3 + 4*q**3 + (3*q + 0*q - 4*q)*(4*q**2 - q**2 - q**2) + 0 + 0 - 2*q**3)*(15*q - 9*q + 11*q).\nAnswer: -34*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -2 (c) 1289\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 680 + -3412\/5. Let n(l) = -l**3 + 5*l**2 + 2. Find the common denominator of c and n(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/161588 and 73\/18.\nAnswer: 1454292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 592388.\nAnswer: 2, 23, 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(78) - sqrt(78)*-1*-6 - sqrt(78))\/sqrt(6) + (((sqrt(91) - -2*sqrt(91))\/sqrt(7) - sqrt(13))*-4)**2).\nAnswer: -4992 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9\/((-90)\/(-42380)) - (-8 - -1).\nAnswer: 3, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8866.962 milligrams in nanograms?\nAnswer: 8866962000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s + 23. Calculate r(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + 3*sqrt(128) - (-2 + sqrt(2)*-1).\nAnswer: 2 + 26*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239*s - 475*s + 237*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 39. Calculate the smallest common multiple of 20 and q(-27).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + 2*a**2 + a + (-2*a**2 + a**2 + 2*a**2)*(2 - 6 + 3) + 145*a + 18*a**2 - 145*a in the form l + g*a + k*a**2 and give k.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -460566 (base 7) to base 3.\nAnswer: -11011101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n. Suppose -2*u - 37 = -5*o, 3*o - 2*u = 4*o - 17. Let t(b) = -o + b - 1 - 13 + b. Give t(w(j)).\nAnswer: -2*j - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x - 9. List the prime factors of s(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 615 + -1817\/3. Find the common denominator of 4\/3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, a: 1, n: 11, v: 4, h: 1}. What is prob of picking 1 h and 1 a?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1079380 is divided by 377?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/5)\/(1\/(-20)). Suppose 7*w = b*w - 3. Suppose -4*r + w*l + 10467 = -73545, 5*l - 104980 = -5*r. Round r to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 9.4. What is the second smallest value in -3, n, -2\/19?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**7\/147 - t**6\/105 + t**5\/35 + 40*t. Factor d(q).\nAnswer: -2*q**3*(q - 1)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 49 - 167 = -3*g, -1072*f + 238 = 4*g - 1093*f for g.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 14. Suppose -u*v + 148 = 5*i + 13, 5*v + 27 = i. Suppose 0 = -4*o + 3*o + i. Solve -5*f - 3*t + 4*t = o, 0 = 4*f - 5*t + 30 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -307*o**3 + 1287*o**3 - 270*o**3 + 990*o**3 + 1062*o**2 + 772*o**2 wrt o.\nAnswer: 10200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2179 + 2728*i - 223*i - 2178 to g*i + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 + -119. Let f = -34 - i. Let b = f - 21. Calculate the remainder when b is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3741 = 36*u - 35*u, -u = 3*s - 3744. Is u a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 4 - 36. Let p be (-10)\/(-25) - m\/30. What is the nearest to -1\/2 in -2\/3, p, 1\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s - 16. Calculate l(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*3\/(-240)*(-55)\/(-11)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1204?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -348 by -12.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.60416 rounded to one dp?\nAnswer: 16.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-71 - (-3 - 6)) + -8.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*y + 40*y + 1300 = 112*y for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/45400 and -133\/864.\nAnswer: 4903200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 216*m - 219*m + 6267. Suppose 619 = -6*h + m. Let n be ((-10)\/(-8))\/(2\/56). Calculate the highest common factor of n and h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 158508.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53.9 + 54. Let s be 2\/(-4) + (-19)\/(-30). Which is the second smallest value? (a) n (b) 0 (c) -3\/5 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1403596612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 1. Let f(x) = -12*x + 4. Let t = 14472 + -14492. Give t*g(y) + 5*f(y).\nAnswer: -40*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 30*w - 28. Let k be q(6). Suppose -4*t + k = -4*i, -4*i + 22 = t - 1. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -265116 divided by 3\nAnswer: -88372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 12, 41, 92, 171, 284?\nAnswer: 437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 3*w**2 + 3*w + 4. Let x be n(4). Suppose 2*m - m - 22 = 0. Suppose -f + 0*f + m = x. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -11 (b) -2\/3 (c) 4 (d) 540 (e) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 5c?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -335319109.\nAnswer: -335319109, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 + 8*j**2 + 22*j - 25. Let c be s(5). Solve 1635*q - c = 1642*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, 2, 1\/4, 6\/11, 3\/2.\nAnswer: 1\/4, 6\/11, 3\/2, 2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6, -1, -6 in descending order.\nAnswer: 6, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57056?\nAnswer: 2, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -129242183*t**3 - 81041570 with respect to t.\nAnswer: -387726549*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(3\/(-2 + -52)). Let d = p + -21. Is d a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12337 = 61*o - 12520 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 361 - 360. Put c, -3, 5\/11, 2\/3 in increasing order.\nAnswer: -3, 5\/11, 2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -449 + 3605\/8. Let p = -13\/7 - -603\/140. What is the common denominator of p and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = n, 2*v = 22*n - 25*n + 12. Solve v = 10*j + 179 - 159 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from srdgtdr.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 855 divided by -73?\nAnswer: -855\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 247*t + 2701. What are the prime factors of i(45)?\nAnswer: 2, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/3 - 16442*j**2\/3 - 33784198*j\/3 + 33800642\/3.\nAnswer: -2*(j - 1)*(j + 4111)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1608 and 113064.\nAnswer: 7575288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3cd + -3?\nAnswer: -3d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19606 - 19497. Calculate the lowest common multiple of 81 and k.\nAnswer: 8829","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 18*p = -51. Suppose 2*q + p*y - 9 = 2*y, 5*y = -3*q + 24. Find the third derivative of -39*g**2 - 11*g**3 + 26*g**q + 0*g**2 + 4*g**2 wrt g.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1660076 is divided by 829951.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 + 65. Let s = 34.69 + -33.69. Suppose -5*o - u = -5, 4*u - 11 = 3*o + 9. Which is the nearest to o? (a) 2\/17 (b) w (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -403685 - -567120. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -4\/3, 27\/5, 0.2, -2 in increasing order.\nAnswer: -5\/2, -2, -4\/3, 0.2, 27\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 61\/(-3)*((-3)\/5)\/((90\/25)\/18)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24098427 rounded to the nearest one million?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -11689672.5514?\nAnswer: -11689677.5514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27928517 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2533 divided by 17.\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + o - 1)*(-4*o + o - 3*o).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert a8 (base 14) to base 5.\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2886 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4*h. Let r(z) be the third derivative of 0*z - 1\/120*z**6 + 0 + h*z**3 + 1\/60*z**5 + 0*z**4 + z**2. Determine s, given that r(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.12 and -2247.3563.\nAnswer: -2247.2363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 46*l. Let t(k) = 915*k**2 - 10*k + 150. Let h(x) = 610*x**2 - 7*x + 105. Let s(b) = 10*h(b) - 7*t(b). Give n(s(u)).\nAnswer: -14030*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9453250, -18906498, -28359744, -37812988, -47266230, -56719470?\nAnswer: -66172708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2*6.05\nAnswer: 12.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 6*i - 31. Suppose 3*u - i*n = 454, 0*u - u - 3*n = -173. What is the greatest common factor of 237 and u?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 s, and 2 e when four letters picked without replacement from esxnnsnseeses?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15\/4? (a) -0.05 (b) -5 (c) 0.1 (d) -0.4 (e) 24.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 521 divided by -6\nAnswer: -521\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 273, 288, 293, 282, 249, 188, 93, -42?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8852 - 0.3\nAnswer: 8851.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/620 and (27\/(-180))\/((-99)\/(-1606)).\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from plplzpvuzp. What is prob of sequence lvp?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -256118 or -256179?\nAnswer: -256118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 148 times -1.8\nAnswer: -266.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-40)\/(-30)) - (-262 + 214).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/5)\/s*((s\/(s\/(s*(s\/(s\/s**(-8)))\/s)*s))\/s*s)\/s*(s\/(s\/(s*s\/(s\/s**1*s*s*s)*s*s)))**(26\/3))**(-22))**(-3\/44) assuming s is positive.\nAnswer: s**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4037*p + 492*p - 1237 + 1237 in the form o + l*p and give l.\nAnswer: -3545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 - 35. Suppose -k = -4*v - o, v + 3*v = -k - 6. What is the second biggest value in v, -0.5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/8*3\/((-54)\/(-12))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -411, -3.\nAnswer: -411, -30, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192683 and 1247?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1170\nAnswer: -1\/234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1969?\nAnswer: 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 586 + -25. Find the second derivative of 48*i**4 - 22*i + 561*i**2 - q*i**2 wrt i.\nAnswer: 576*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28350 and 210294.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -576*j - 3458. Determine v(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + i + 1. Let k be w(-2). Let n be (-12)\/(-78) - 1550\/(-403). Is k less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14408072?\nAnswer: 2, 7, 257287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4508 and 1903158.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493816 is divided by 487.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i + 14 = 2*y, 1 = y. Solve 2*a = -i*a + 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbbbhhhhhbhqbb. Give prob of sequence bbhq.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10998508 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -158*o - 3. Let f be m(4). Let k = f - -1179. Suppose 0 = 2*l + 2*l - k. Calculate the greatest common divisor of l and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 3*o**2 - o - 2. Let x be v(2). Suppose -3*m - 218 + 23 = x. What is the tens digit of (-8)\/(-10) + (-2353)\/m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 434*w - 438*w + 28, -8 = -5*n + 4*w for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122903204?\nAnswer: 2, 30725801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286348953?\nAnswer: 3, 11, 31, 317, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -497190.\nAnswer: 1\/49719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -4*s - 13. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-18) - (1824\/108 + -10 - 11). Let v(z) be the second derivative of 0 + 4\/3*z**4 - 19*z - 1\/5*z**5 + u*z**2 - 10\/3*z**3. Let v(p) = 0. What is p?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -25*j**2 + 25*j + 60. Let f(i) = i**2 - 1. Let a(z) = 30*f(z) + y(z). Let a(b) = 0. Calculate b.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 808620509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 + -2.23. Let s = d + 1.13. Let i = 3 + -2.6. What is the closest to 0 in -2\/11, i, s?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 1\/6 (c) -0.1 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1601353 >= -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*((-100)\/(-36) + (-2)\/(-9)). Suppose -5*p = -16 + v. Let i be (48\/(-32))\/(p\/8 - 1). Solve -5*w - a = 8 + i, 2*a = 4*w - 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/2 + 15*t\/2 + 8.\nAnswer: -(t - 16)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + (sqrt(68) + 4 - sqrt(17))) - ((sqrt(425) + 1*sqrt(425) + sqrt(425))**2 + 5 + (sqrt(425)*-1*3)**2).\nAnswer: -7628 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*(b\/(b**(-5)*b*b*b*b))\/b)\/b)\/(b**(-4\/3)\/b))\/(((b\/(b*b\/b**(2\/13)*b)*b)\/b)\/b**0) assuming b is positive.\nAnswer: b**(241\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 5\/6*w**3 - 19*w + 0*w**2 + 0 - 3\/10*w**5 + 5\/12*w**4. Let j(s) = s**3 - s**2 - s. Give -5*j(t) - n(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/27*(-3 + 0). Let z = -303581 - -303586. What is the closest to 4 in c, -0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 0, 3*j - 5*u + 6*u = -3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 0, -0.5, 1, -0.067?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444*m - 510*m = 540 + 1902 for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2. Let z(q) be the second derivative of q**5\/12 + 11*q**2 - 3*q. Let t(k) be the first derivative of z(k). Give t(s(n)).\nAnswer: 5*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 10:42 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 284287*x**2 - 6*x + 1962716?\nAnswer: 568574*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -49, -4, -3, 3 in ascending order.\nAnswer: -49, -4, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/3*((-180)\/70)\/(6\/(-21)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + (-1)\/2*6. What is the second derivative of 4*x - u*x + 22*x**3 - 19*x**3 wrt x?\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1969*p**3*q - 3*p**3 - 95*p**2*q - p**2 + 4 wrt p.\nAnswer: -11814*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a week in minutes?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 121, 135, 157, 187?\n\"Answer: 4*n**2 + 2*n + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*g**2 + 10*g - 120 - 2*g**3 - g**4 - 20*g**2 + 225 - 118 - 28*g**2 in the form b*g**4 + j*g**2 + f + a*g**3 + q*g and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -65, -175, -311, -485, -709?\n\"Answer: -2*k**3 - k**2 - 93*k + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7249 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -48 (base 10) to base 8\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55612, -222477, -500592, -889957, -1390572, -2002437?\nAnswer: -2725552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 964056209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 6*a)*(2*a - a - 3*a)*(8 - 2*a**2 + 18 - 8).\nAnswer: -24*a**4 + 216*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20585.9*-2.9.\nAnswer: 59699.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 551, 649, 755, 875, 1015, 1181?\nAnswer: 1379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 638 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32080)\/(-36090))\/((-4)\/3*2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -48*v + 4. Let h(z) = -32*z + 3. Let q(d) = 5*g(d) - 7*h(d). Let k(p) = -15*p**2. Calculate q(k(o)).\nAnswer: 240*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 50.71 times -0.3\nAnswer: -15.213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 560, 4473, 15108, 35831, 70008?\n\"Answer: 561*q**3 - 5*q**2 + q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*o + 81091 = 5897. Is o a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -2585.\nAnswer: -1\/517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.46 + 13.4. Let b = l + 0.06000025. What is b rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (30 + -29)*1*-1 - -78. Find the common denominator of (1057\/j + -7)*(-1)\/(-4) and -1 - 17*2\/4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62 - -293. Suppose 330 = 3*g - w. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19851666 (b) -4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**37)\/v*v)**29*(v*v*v*v\/(v\/v**(3\/38))*v)**(43\/4) assuming v is positive.\nAnswer: v**(174169\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 i when three letters picked without replacement from {t: 7, i: 5}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 67.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o + 19*o - 1 - 2*o. Is h(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 169, 18, 31?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -23, -30, -39, -50, -63?\n\"Answer: -b**2 - 4*b - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (136\/4284*-70)\/5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289*w + 288*w - 62*w**3 - 577*w + 187*w**3.\nAnswer: 125*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3111, 3117, 3123, 3129, 3135?\nAnswer: 3141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**3 + 7*k**2 - 7*k**2 - 143*k + 2 + 3*k**2 + 141*k. Let x(l) = 4*l**3 - 3*l**2 + 3*l - 3. Suppose -5*v + 12 = 2. What is v*x(g) + 3*f(g)?\nAnswer: -g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**5 + 34*v**4 + 321*v**3 + 544*v**2 + 256*v = 0.\nAnswer: -16, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19.2 - 19.1. What is the second smallest value in -3, r, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 571*g - 554*g = 9571. Is g greater than 564?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 268190917 to the nearest integer?\nAnswer: 16377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19\/75 or -214681?\nAnswer: 19\/75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-4) - 21\/(-12). Suppose -3 = 4*q + i, -5*q + 3 = -3*i + x*i. Let l = -627\/4 + 156. What is the second smallest value in q, l, 2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 8*a - 83, -5*g + 1240*a - 30 = 1245*a for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {t: 3, h: 3, d: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -15, -190 = 5*m - 10*m + 2*x. Let w = -27 + m. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44157960 divided by 11340.\nAnswer: -3894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**2 - z - 3. Let b be k(-4). Let q(w) = 20*w**2 - 2. Let g be q(-2). Let h = g + b. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5552577713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2 - n - 2. Let k be a(2). Let z be (-90)\/k*8\/6. Solve 4*p - 6 = d, 4*d = -p - 0 + z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 3*w**2 - 6. What is p(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 + 29 = 5*f. Let w(k) be the second derivative of k**3\/3 + 5*k**2 - 9*k - 1. What is w(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 6*n**2 + 5*n - 10. Let g be f(-7). Suppose -2*x + 3*x - 3*i = -7, -4*x = -g*i - 12. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebbebbbbbb. Give prob of sequence beb.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 5*x**2 + 3*x + 1. Suppose -28 = 4*m + 5*f, -m - 5 = 5*f + 2. Let b(c) = c**3 + 6*c**2 - 6*c + 3. Let n be b(m). What is q(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/(-34) - (0 - (12 - (374\/17 - 14)))?\nAnswer: 30\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 99 + -97. Suppose -2*k + 4*c = -20, 2*k - 9 = 3*c + 8. Solve -k*p = d*h - 16, p + 4*h = -1 - 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 154*t - 151*t + 35, 5*n + 4*t = -42. Let u(c) = -c - 1. Suppose 2*r + 24 = 4*s, -4*s = -0*r + r - 6. Let y be u(r). Which is bigger: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwww. What is prob of picking 4 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-15)*(0 - -1). Let t = 927\/5 - 186. Let z = -0.04 + 0.24. Which is the nearest to z? (a) -4 (b) t (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -222 - 1100144?\nAnswer: -1100421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 + 1551 = 398*v - 3375 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396290750.\nAnswer: 2, 5, 761, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (198\/(-20))\/(108\/45). Which is smaller: m or 1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31873 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 643489513 to the power of 1\/2, to the nearest integer?\nAnswer: 25367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10760379347347 take away -5?\nAnswer: -10760379347342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17174776 is divided by 248.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 1671.\nAnswer: 11697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -16*y. Let z(c) = -5. Let k(x) = -x - 6. Let p(w) = -5*k(w) + 6*z(w). What is p(v(n))?\nAnswer: -80*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 65368 - 21310 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -6*d + 244. Suppose -4*h - 4 = -4*x, -h - 7 = -x - 3*h. Suppose -x*q = -0*q - 63. Calculate the remainder when d is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1026 divided by 38.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -42, -1 in decreasing order.\nAnswer: 5, 2, -1, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1541090.067 from -0.7.\nAnswer: 1541089.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -18.66 and 62.177.\nAnswer: 43.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 8:05 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from {i: 1, z: 3, v: 1, u: 1, n: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 + (-22932)\/(-396) - 0\/(1 - 0)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 747071 (base 9) in base 11?\nAnswer: 284172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 11:53 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*z + 63 + 25. Put -4, z, 0, 6 in increasing order.\nAnswer: -4, 0, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -753 + -5?\nAnswer: -758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from onnononxooooxxnrox. What is prob of sequence oxor?\nAnswer: 7\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18739 is divided by 1242.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*g + 288 + 53. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 4*w**2 - 2*w - 1. Let m be o(2). Let g be ((-184)\/(-10))\/(5\/25). Suppose 0 = s + m*s - g. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -8*l**2 + 6*l - 11. Determine m(3).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 40248, 78663, 117082, 155505?\n\"Answer: 2*w**2 + 38409*w + 1837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g. Let t be (0 - 1) + 7 - 2. Suppose t*y - 8*y + 8 = 0. Let h be i(y). Which is the nearest to -2\/7? (a) h (b) -0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1246274.\nAnswer: 2, 139, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 16441.84 litres?\nAnswer: 16441840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*a - 151*a + 3*y - 11 = 0, 4*y - 8 = 3*a. Suppose 2*p - 7 = -l, -7 = -5*l - p + 1. Sort l, 0, a in increasing order.\nAnswer: 0, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017537392071 rounded to 7 dps?\nAnswer: -0.0017537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25525878 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3, 98, 243, 432, 665?\n\"Answer: 22*f**2 + 35*f - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125 + -118. Solve 4*u + 22 = -2*w, 0 = u + w + w + i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-7)*-34*(-22)\/2992.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*h + 119*h = 57645. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2420908.\nAnswer: 2, 7, 86461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 1)\/(2\/(-4)). Let x = -502168 + 502178. What is the third biggest value in 2\/13, x, z?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 6*b**2 + 3*b. Determine d(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 4 (c) -1\/3 (d) -143 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21561, -171935, -579925, -1374339, -2683985?\n\"Answer: -21468*w**3 - 98*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8148 and 152352?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 9:06 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddhhhhd. What is prob of picking 3 h?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -158182 divided by 2?\nAnswer: -79091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3788 is divided by 52.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, z: 4, q: 3, u: 6, t: 4, c: 1}. What is prob of picking 1 c, 1 m, 1 t, and 1 z?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.1 + -7.55. Let w = -42929 + 42929. Which is smaller: g or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6*x**2 - 2*x - 18. Let z(y) = 8*y**2 - 3*y - 18. Calculate -6*q(j) + 4*z(j).\nAnswer: -4*j**2 + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 s, and 1 h when three letters picked without replacement from {h: 1, b: 6, s: 3, q: 1, e: 1}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*((3 - 2 - 2)*(0 + 0 + i) + 246*i + 575*i + 787*i).\nAnswer: -1607*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 4*k - 3. Let g be 5 + (-8)\/((-32)\/k). Solve -g = -3*x + 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/41)\/(((w**(2\/3)*w*w)\/w)\/w) assuming w is positive.\nAnswer: w**(-79\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 o when two letters picked without replacement from kkqmo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 341844 and 256383?\nAnswer: 1025532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7634 - 7250. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*t + 2*t**2 - 2*t - 3*t)*((-1 + t + 1)*(-6*t - t + 5*t) - 9 - 4*t**2 + 9) to w*t + d*t**2 + z*t**4 + c + g*t**3 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7084 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.1758222 and -81118.88?\nAnswer: 81117.7041778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 18, -1, 41 in ascending order.\nAnswer: -1, 2, 18, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*l - 7*l - 22818, -3*l = 2*m - 15250. What is the highest common factor of 7 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39977*b**4 - 22302?\nAnswer: -159908*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 424*x**2 - 29*x - 80. Suppose 0 = -3*q + 5*r + 5 - 19, -4*q + 4*r = 16. Is c(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 39 = -13*d. Let i = -7 + d. Suppose -57*u + 74*u = 0. Solve u = i*n - 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 874 = -18*t. Sort -3, t, -2, -5 in ascending order.\nAnswer: -5, -3, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2 - (-25)\/10. Suppose -3*g + 5 = -h - 5, 6 = 3*g - t*h. Suppose 42 = g*l - 62. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/3 (b) 0.2 (c) 9 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 53*g - 4. Let q(z) = -3441*z + 259. Let f(d) = 259*a(d) + 4*q(d). Let k(i) = -2*i**2. What is k(f(l))?\nAnswer: -2738*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 18*d - 17. Let p be i(-3). Let s = 110 + p. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 324 and 72333.\nAnswer: 289332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 35 and -1546?\nAnswer: 1581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13916.48 - -14265. Let l = u - 360. What is l rounded to 1 decimal place?\nAnswer: -11.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2 - 2 + 18*l**2. Let x(q) = -q + 2. Let h(b) = 2*b - 3. Let z(r) = 2*h(r) + 3*x(r). What is z(g(n))?\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 2, 0, -8, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 376 less than or equal to 168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-3) - 2\/6. What is the nearest to -0.1 in i, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -3. Let r be 2*(-10)\/(-12)*(-682)\/(-1705). Which is the closest to r? (a) u (b) 4 (c) 2\/9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.13144 grams to milligrams.\nAnswer: 61131.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2509 - 12547\/5. Which is the second biggest value? (a) -3 (b) 5 (c) -4 (d) i (e) 72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(720\/75)\/8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*d + 29 + 9*d + 10*d - 17 + 11*d - 12.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 65 = 4*w, -2*y = 99*w - 103*w + 30. Put w, -5, 3, -9 in decreasing order.\nAnswer: w, 3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 5*g - 130, -g + 314 = 8*f - f. Solve 5*i - 14*i = -f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 458\/9?\nAnswer: 458\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1733ba7 (base 12) to base 9.\nAnswer: -10021111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 5*m - 1 - 7*m + (3 - 3 - 3)*(2*m - 1 + 1).\nAnswer: -8*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1.877214kg?\nAnswer: 1877.214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -770*f**2. Let j(s) = 91*s**2 - 2. Give j(a(h)).\nAnswer: 53953900*h**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/6 + 2*j**2 + 14*j\/3.\nAnswer: -j*(j - 14)*(j + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 32215926.06 to the nearest 1000000.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/2*21*305\/(-2562).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 - 15*l - 2. Let g be j(-7). Suppose 2*u + 6*m - 2*m = 202, -314 = -3*u + g*m. Suppose 275 = 3*n - u. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 766769974 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 26. Let w(s) be the second derivative of -s + a + 1\/6*s**4 + 0*s**2 - 1\/6*s**3. What is the second derivative of w(v) wrt v?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5160 and 167270.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 34 - (-26 + -19 + 36 + 8)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2352)\/(-2352))\/(2\/(-156)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 (base 9) in base 5?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 235791900 rounded to the nearest one million?\nAnswer: 236000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 414 and 3883826.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 108, -3, 4, -5 in ascending order.\nAnswer: -5, -4, -3, -1, 4, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*o + 54 - 327 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 4)*(-4077*y - 1689981 + 1689981)*(-3 + 5 + 1) in the form i*y + a and give i.\nAnswer: -12231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -2\/5, -0.6, 0, -0.03?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 + -0.4. Let n = -261 + 260.1. Let f = n - -1.4. Which is the nearest to 1\/2? (a) i (b) f (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -2*p + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrr. What is prob of picking 1 n and 1 r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -476, -470, -452, -416, -356?\n\"Answer: r**3 - r - 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.05016 rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwkwnxkmxkxmwkkmxnkx. What is prob of sequence kmw?\nAnswer: 7\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6408437 plus 30017?\nAnswer: 6438454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 12*s = -838 - 794. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -2021.585.\nAnswer: -2021.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + q = 1, -5*s - 2*q + 0*q - 1 = 0. Let p = 740\/261 + -5\/87. Calculate the common denominator of (-76)\/(-22) - (s - 1) and p.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 800\/375 - (-54)\/(-405). Suppose -a + 8 = 4*z - 1, 21 = 4*z - 3*a. Solve -t - z*r = t + 17, -v*t = 4*r + 22 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4 - 6*y**3 + 3*y**2 + 20*y + 12.\nAnswer: -(y - 2)*(y + 1)**2*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -9*t + 11*t - 50064, 4*t - 100136 = 4*y. What is the hundreds digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -5*o**4\/4 + 5*o + 28. Let n(w) = w**3 - 7*w**2 + 7*w - 9. Let f be n(6). Let s be (2 - 4)*f\/(-6). Give b(s).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98275 to the power of 1\/2, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 200 and 1048200.\nAnswer: 1048200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from waawaawawawww. What is prob of picking 3 w?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 3*c = 118 - 131, t - 5*c - 37 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13354 + 13588.82. Let r = 235 - x. Let h = 304\/7 - 43. What is the biggest value in 0, 5, r, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 242*y**3\/17 - 2877710*y**2\/17 + 1046416*y\/17 - 95128\/17.\nAnswer: 2*(y - 11891)*(11*y - 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -186 in 3\/7, -19, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2002, -6, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*a = 17*a + 24. Find the second derivative of 2*j**a - 19*j**5 + 9*j**5 - j + 13*j + 8*j**5 wrt j.\nAnswer: -40*j**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrrprprrrprn. What is prob of picking 1 p and 1 n?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**5\/9 - 4*c**4\/3 + 25762*c**3\/9 + 8612*c**2\/3 - 257600*c\/9 + 68672\/3 = 0. Calculate c.\nAnswer: -116, -4, 1, 2, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -845152, -844765, -844122, -843223, -842068, -840657, -838990?\n\"Answer: 128*i**2 + 3*i - 845283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/32*4 - 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -67 + -50?\nAnswer: -b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a factor of 46012184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**3 + 2*o**2 + 3*o + 1. Let x be i(-1). Let q(p) be the first derivative of 2*p**2 - x - p - 4\/3*p**3. What is u in q(u) = 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m**3 - 4*m**2 - 2*m + 1. What are the prime factors of l(-2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -29*w - 32*w + 59*w. Let n(v) = -354*v. Calculate n(i(g)).\nAnswer: 708*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((84\/(-20))\/3)\/(1\/(-35)). Let i = 95 - w. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 4*g)*(5 + 0 - 2)*(23*g - 23*g + g**2) in the form n*g**2 + o*g + k*g**3 + i and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -1.9 (c) -0.06 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 95 = -215. Let c = -24 + j. Let a be c\/14 + 10\/35. Solve 2 = a*n + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 + 44. Let h(o) = -6*o - 16. Let l be h(p). Solve -l*a + 20 = -5*x, -4*x + 2*a - 18 = -0*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -26199, 3, 2 in decreasing order.\nAnswer: 5, 3, 2, -4, -26199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 10 + -16 + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14, -56, -126, -224, -350?\n\"Answer: -14*s**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4989834 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 21*p**2 - 119*p - 7. Give q(6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*597.\nAnswer: 2388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-1030)\/(-22) - 40\/(-220). What is the smallest common multiple of (60 - 0) + 7\/(i\/(-28)) and 18?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232*l - 203*l = 493. Let x(p) = 57*p**2 - 17*p. Let r(z) = -19*z**2 + 6*z. Give l*r(j) + 6*x(j).\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/5)*c)\/(c*c*c*((c*c**5\/c)\/c)\/c*c))**(-2\/13) assuming c is positive.\nAnswer: c**(64\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353454.\nAnswer: 2, 3, 58909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/14)\/(10\/(-105)). Suppose 2*h + 0*v - 243 = 3*v, -3*v = 5*h - 639. Calculate the highest common divisor of q and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 10*l - 7. Let p be (11 + -10)*7*1. Let b(k) = k**3 + 9*k**2 - 14*k + 1. Calculate the remainder when b(-10) is divided by s(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -724*r**2 - 596*r**2 + 1459*r**2 + (16*r**2 - 269*r + 269*r)*(1 + 2 - 1).\nAnswer: 171*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 8:46 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3107138201 - 3107137872.9999833. Let y = -328 + p. What is y rounded to 6 decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) 0.4 (b) 0.6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*m + 11*n = -13*n + 36*n - 11*n - 1, -m - 5*n + 5 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -163 + 278. Suppose 0 = u + 2*a + 4, u - a = -u + 12. Suppose -y = u*y - s. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 + 1654 = 6*n. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 274271000*p**4 + 274050209 wrt p.\nAnswer: 1097084000*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -16*a + 80 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 223 divided by 9\nAnswer: 223\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152 and 390145126?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 1, -20, 4, -118 in descending order.\nAnswer: 4, 1, -1, -5, -20, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 5.3. Let x = 0.2 - s. Let q = -3\/41 - 20\/287. Sort x, -4\/3, q.\nAnswer: -4\/3, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*k - 5*c - 4, k - 2*c - 2 = 0. Put -5, -5\/2, 80, k, -0.1 in ascending order.\nAnswer: -5, -5\/2, -0.1, k, 80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*w = -65*w + 218 - 166 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m + 2. Let d(q) be the first derivative of -q**2\/2 + 1889. Calculate -d(b) - h(b).\nAnswer: 5*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*o - 131. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/5, -3, 3.9, 61, 5, 1, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(1\/((-2)\/3)). Suppose 158 = j*v + 46. Let s be (-47)\/(-7) + 4\/14. What is the greatest common factor of v and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 272 and 1666?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**5\/7 + 128*j**4\/7 + 164*j**3 - 37672*j**2\/7 - 32656*j + 37856 = 0. What is j?\nAnswer: -14, -7, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 33 (b) 99189 (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322*n - 163*n = 165*n + 229980000. Round n to the nearest one million.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -885994.406 and -3.\nAnswer: 2657983.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1158 * 2\nAnswer: -2316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k + 801372000 = 43*k + 11*k. What is k rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 50962 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102021101200 + -1?\nAnswer: -102021101201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*l**2 + 7*l - 7*l - 3*l**2 + l**2 + 0*l**2 + (0 - 2*l + 0)*(-5 + 5 + 7*l).\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.05, 0.3, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -97 - ((-122 - -116) + 5 + 3) - -11?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-11 + (9 - 5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 190 and 23085?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*(w\/(((w\/(w\/w**(2\/9)))\/w)\/w))\/w)*w*(w*w**(-6\/7))\/w*w)**17 assuming w is positive.\nAnswer: w**(-680\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 1388 - 2769 = -1441. Let r be 1 - -2 - (-2 + -1). Solve r = s + j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 3:32 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 58, 3 in decreasing order.\nAnswer: 58, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*c + 10890 = 141*c + 83*c for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2120 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -122*q + 4382. Calculate j(36).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*q + 0 + 2\/5*q**3 - 4\/5*q**2.\nAnswer: 2*q*(q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -199, -6\/7, -4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**5\/20 + 7*h**4\/12 + 7*h**3\/6 + 7*h**2\/2 - 147*h. Let z = 9 - 15. Determine q(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/((-72)\/10) + (-7060)\/16. Let i be v\/(-230) - 8\/(-92). Solve 0 = -u - g - 10, 0 = -2*u - g - 13 - i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15883299 to the power of 1\/2, to the nearest integer?\nAnswer: 3985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 105*h - 525. Let s be l(5). Let t be ((-5)\/(-4))\/((-1)\/4). Let f = -0.2 + -0.3. Which is the closest to s? (a) f (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -241, -3, 1265?\nAnswer: 1265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a second in milliseconds?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00720798217 to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22417?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 6) + -54 + 68.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 4*g - 15 = 12*h, -29*h = -27*h + 2*g + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.37 + 15.63. Let x = 16.2 - g. What is the nearest to 3 in 0.5, x, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 218439\/3884 + 9\/971. Suppose -r + 112 = -3*r. Let y = r + t. Which is the second smallest value? (a) y (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**3 + w**2 + 4*w + 2. Let l(q) = 4*q**3 + 2*q**2 + 9*q + 5. Give 9*d(g) - 4*l(g).\nAnswer: 2*g**3 + g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + 3*y**3 + 3144*y + 5*y**3 - y**2 + 27 - 3177*y in the form u*y**3 + x*y + j*y**2 + o and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 5*a + 2*g, -2 + 5 = g. Let t = 6 - a. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*f - 0*f - 3, 0 = f + y - 9. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 231 = -3*a, 5*l = -2*a + 4*l - 147. Suppose m = -2*h - 2*m - 101, -4*m - 151 = 3*h. Let i = h - a. Calculate the remainder when i is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + 0 + (902 - -6). Suppose -601 - z = g. Let n = 2730 + g. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9\/10 of a meter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20399*-0.02\nAnswer: -407.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 2, l: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 81 - 89. Calculate the remainder when 847 is divided by c.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, -813, -3175, -7771, -15345, -26641, -42403, -63375?\nAnswer: -90301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w - 2 = 0. Let c(k) = k**3 - 4*k**2 - 6*k + 4. Let h be c(5). Sort h, w, -3.\nAnswer: -3, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/54 + (-912)\/760 - -1*6\/(-45)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -2. Suppose 4*o + 52 + 160 = 4*i, 0 = -3*i + o + 149. What is the least common multiple of y and i?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-16)*b*b**11 assuming b is positive.\nAnswer: b**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + k**2 - k + 5. Let q be r(0). Suppose -4*p + 11 + 17 = q*l, 5*l - 40 = -5*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000527 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -34*o**2 - 6*o - 6. Let y be w(-2). Let z = -119 - y. Solve -4*c + 4*a = z - 39, a = -4*c + 8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/26048 and -127\/22000.\nAnswer: 3256000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 14*f + 91. Let m(y) = -12*y - 90. Give 4*a(z) + 5*m(z).\nAnswer: -4*z - 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 143 + -158 - (-2 - -5)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 212288 and 8184?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - q = -0*f - 4, 2*q - 5 = f. Is 251 + ((-3 - -6) + -3)\/f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -118.20338 + 118.2. Round o to four decimal places.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2538486720 to the power of 1\/4, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 805.8795 centimeters?\nAnswer: 8058795000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4181 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6*d - 48. Let s be l(14). Suppose -4*h - s = 5*t, -3*t - 28 = h + 3*h. Sort 2, h, -7, -5 in descending order.\nAnswer: 2, h, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35329*h + h**2 - 68101*h + 34444*h to the form f*h**2 + o*h + g and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s**2 + 6*s. Let y(k) = -3*k**2 - 4*k. Determine -5*f(i) - 7*y(i).\nAnswer: i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 328320 and 2560.\nAnswer: 1313280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/23)\/o)\/(o\/(o\/o**(1\/47))))**(-3\/14))**(-4\/17) assuming o is positive.\nAnswer: o**(-906\/18377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -125ba6a?\nAnswer: 125ba66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**2 - z**4 - 383 + z**3 - 6*z**3 + 385 to f*z**4 + u*z + j*z**3 + x*z**2 + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(1\/3)\/p)*p*p\/(p\/(p\/(p*p*p**28*p))*p*p))\/(p*p**(1\/10)\/p)**46 assuming p is positive.\nAnswer: p**(-509\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22684, 21566, 19698, 17080, 13712?\nAnswer: 9594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-2\/29)*d**(-2\/21)*d assuming d is positive.\nAnswer: d**(1202\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a - 3. Let g be j(-2). Let o be (2\/(-36))\/(g\/10). Does -1 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6135, -6128, -6133, -6156, -6203?\n\"Answer: -n**3 + 14*n - 6148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(1\/2)*n))\/n)**(-2\/55)*(n**(-5))**21 assuming n is positive.\nAnswer: n**(-1154\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3276463 (base 8) to base 5\nAnswer: -211242034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3012345 - 1.49179\nAnswer: -3012346.49179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(208)*2 - (sqrt(65) - -2*sqrt(65))\/sqrt(5)) + 3.\nAnswer: -10*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1412, 672\/113, -0.1 in descending order.\nAnswer: 1412, 672\/113, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**0)**47\/((l*(l\/l**5*l*l)\/l)\/l*(l**(-3)*l)\/l)*(l**(-7)*l*l**(-5)*l*l*l)**(-1\/2) assuming l is positive.\nAnswer: l**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4743 + 9380. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*b. Suppose b = 2*j + 1 + 3. Let v be -1*(j - (-2)\/(-1)). Solve 2 = 5*g - 2*d - 1, -v*g + 5 = d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 100*l = -o + 85, -7*o + 2*o - 12 = 3*l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*j**5 + 2*j**4 - 21*j**5 + j**3 + 45*j**5 + 3*j**4 - 3*j**2 - 2*j**4.\nAnswer: -j**2*(j - 3)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/7 + (-414)\/(-21). Let w(o) = 3*o**2 + 17*o - 53. Let x be w(-8). Solve -7*q + j = -x*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15777, -33794, -54053, -76554, -101297?\nAnswer: -128282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*j + 8*j - 226 + 16 = 0. Let g(i) = -9*i**3 + 3*i**2 + 3. Let p(x) be the first derivative of 3*x**4\/2 - 2*x**3\/3 - 2*x - 11. Give j*p(w) - 5*g(w).\nAnswer: 3*w**3 - w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02659042 rounded to 4 dps?\nAnswer: -0.0266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*y**2 + 0*y**2 + 0*y**2 + (-y + 4*y - y)*(-5*y + 2*y + y).\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18944 is divided by 541.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 3:10 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + j. Let r(x) = -4*x + 6*x**3 + 1445*x**2 - 718*x**2 - 726*x**2. Calculate -r(l) - 4*u(l).\nAnswer: -2*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -163 (base 10) to base 15\nAnswer: -ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 59?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 4378.\nAnswer: 21890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + -1*sqrt(108))\/(sqrt(480)\/sqrt(5)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39789335 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*10\/(-21))\/(54\/163296*180)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144 + 49 - 2*k - 37.\nAnswer: -2*k + 156","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43 - -4435144?\nAnswer: 4435101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -2\/49 (c) 110 (d) -205\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 8 = -4*i, -3*y + 3*i + 14 - 2 = 0. Solve 2*u + 21 = 5*o + 3, 0 = -u - y*o + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9574 - 1.0574. Let h = -2 + 1.8. Which is the closest to -1? (a) m (b) -1\/3 (c) 2\/9 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -199742 less than -199743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, u: 6, j: 5}. Give prob of picking 1 p and 1 j.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (2 + -6 - -10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -12019.8, -5, 0.03, 12, 4, 2 in decreasing order.\nAnswer: 12, 4, 2, 0.03, -5, -12019.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xiinnnxxiii. Give prob of picking 3 i.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 545\/35*4\/1. Let x = 62 - n. Is -1 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1157027 less than -1061?\nAnswer: -1158088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -152 + 180. Which is smaller: y or -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-52.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 230.2 + -230. Which is the third biggest value? (a) 2\/5 (b) j (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.11 (b) -0.02 (c) 6 (d) -1 (e) -18 (f) -3\/13 (g) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239502.\nAnswer: 2, 3, 179, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1385?\nAnswer: 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26546?\nAnswer: 2, 13, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 19*t**2 - 6. Let b(w) = -113*w**2 + 54*w**2 + 20*w**2 + 28*w**2. Determine b(l(s)).\nAnswer: -3971*s**4 + 2508*s**2 - 396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**3*t**2 + 4185*g**3*t - 2*g**3 + 48*g**2*t**2 + 11*g*t**2 + g*t + 2*t**2 wrt g.\nAnswer: 6*t**2 + 25110*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 220, 413, 526, 511, 320?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1719 = -6*d + 1767. What is the remainder when d is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -144054*s + 1728663. Calculate z(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 4*z = 11, -w + 2*z + 4 + 1 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14981077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/1152 and -181\/6157440?\nAnswer: 6157440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h - h - 8*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37742158, 37742146, 37742126, 37742098, 37742062, 37742018, 37741966?\nAnswer: 37741906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (7 - 2)) + (2 - 3) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i - 870. Let z(s) = -15*s**3 - 3*s - 4. Let h be z(-2). Let k = i - h. Is k a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003107 rounded to five dps?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010 (base 3) to base 11.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**5\/7 + 6910*h**4\/7 - 11895502*h**3\/7 - 20490116*h**2 - 76955335*h - 598926050\/7 = 0.\nAnswer: -5, -2, 3461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-4 - (-5 + 4 + -7 - -3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*b + 2 = 35*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12761831?\nAnswer: 83, 153757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -109206722 divided by -148783\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l - 2*l**2 - 18*l - 3*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrtfrrkztfrtrtrr. What is prob of picking 1 f and 1 k?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 70 + 74 = 0. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 6:48 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33161 + -2?\nAnswer: 33156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 10*h - 4. Let z(p) = 7*p - 3. Let x(v) = -3*q(v) + 4*z(v). Let j(c) = c + 0*c + c. What is x(j(u))?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*q = 78, -5 = -2*i - 5*q + 43. Does 6 divide ((-144)\/84)\/((-2)\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 137444928*a - 274889844.\nAnswer: -3*(a + 2)*(a + 45814974)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 339.9 - 326. Let j = 8.8 - h. Let v = j - -3.1. Put -1\/4, v, 1 in increasing order.\nAnswer: v, -1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1350531*c**3 + 744*c**2 + 249 wrt c?\nAnswer: 8103186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.1098 + -0.8902. Which is the second biggest value? (a) 0.5 (b) 4 (c) p (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/11 - 5154*f**2\/11 - 257250*f + 59468750.\nAnswer: -2*(f - 173)*(f + 1375)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-66 + 2*l**2 + 66 + 3*l)*(2 + 2 - 2)*(10 - 6 - 10)*(-1 - 12 + 1) to d*l**2 + v + n*l and give n.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 323 + 4?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2))**(-3\/7)\/(p**(3\/10)\/(p**(2\/13)*p)))**(-5\/8) assuming p is positive.\nAnswer: p**(-1557\/1456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/13321 and -47\/1304247.\nAnswer: 14346717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 48 - 1167 = 0. Suppose 4 = l + 2*m, -2*l - 2*m + 15 = 3. What is the common denominator of -73\/22 and n\/32*l\/12?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -903 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*-2*sqrt(704) + -4)**2 + sqrt(704) + ((-3 + sqrt(704)*-2 + sqrt(704))**2 - sqrt(704)) + sqrt(704) + 1 + -3.\nAnswer: 440*sqrt(11) + 26067","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1001.\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139692 is divided by 2217.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y + 117 + 147 - 189 + 459 + 66 in the form z + x*y and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.109744kg in grams?\nAnswer: 3109.744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-2)\/50*-2\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 370 - 535. List the prime factors of (-20)\/w + 16910\/22.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 568245.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 4:12 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000626 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 38 = -8*b. Suppose b = -5*v + 3, v = -2*p + 817. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 797345000, 797345002, 797345004, 797345006?\nAnswer: 797345008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*o + 2*o + 12, -14 = l - 5*o for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/21*(-42)\/(-108).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/17, 2, 0.2, 0.5 in increasing order.\nAnswer: 0.2, 6\/17, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 6 = -6. Let g(z) = 4*z + 4. Let s(p) = 16*p - 4 - 17*p - 2*p + 1. Give u*s(d) - 5*g(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 82 = 275. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1550\/20)\/(225\/(-315))*(8\/(-14))\/2\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14680 + -8927. List the prime factors of g.\nAnswer: 11, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3\/5 - 3952062*b**2\/5 - 390467084838*b + 13666541621054\/5 = 0. Calculate b.\nAnswer: -988019, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -14*(18\/(-52) - (-8)\/(-52)) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18612 (base 10) in base 9?\nAnswer: -27470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 28 = -2*g, -3*n + 3*g - 2*g = -38. Suppose -4*p = -2*s + s - 27, -n = -4*p + 4*s. Suppose 0 = 2*z - p. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -6.3. Let y = 114.88 + -114. Let a = y + -0.58. What is the nearest to m in a, -0.2, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 9 = -4*l - 4, 5*l + v = 6. Solve 3*n = -4*d - 10, 4*n + 3*d - l = -12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4939\/18 - -4951\/18. Let i = 4.88 - -0.12. Sort 10, -0.5, d, i in descending order.\nAnswer: 10, i, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -11*z**2 + 6*z + 3. Let o(n) = n**2 - n - 1. Let l(h) = -m(h) - 5*o(h). Let y be l(6). Is (-9)\/(-3)*y\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j + 17673. Let g(z) = 3*z - 11778. Give 7*g(r) + 5*m(r).\nAnswer: r + 5919","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 30 = -0*b - b, -4*b - 3*n - 28 = 0. Let i be ((-9)\/5 - -1)\/(b\/25). Suppose -4*l - i*l + 1554 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*d + 2375 = -5*d, -1767 = -3*v - d. Suppose 1700 = v*c - 588*c. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -182.7656419 to one dp.\nAnswer: -182.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - -57. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -18. Suppose -2*j - 4*k - x = -7*k, -4 = -5*j - k. Suppose 0 = -y - 0*f - f + 23, -2*f = j. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y. Let z(g) = -44*g - 61390. Give z(o(b)).\nAnswer: -132*b - 61390","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 149\/18 + -17\/2. Which is the nearest to -1? (a) -0.2 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9183166, 3, -5?\nAnswer: -9183166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -12966261 times -3\nAnswer: 38898783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s + 0*s + s)*(0*s + 0*s + s) - 3*s**2 - 4*s**2 + 5*s**2 + (-2 - 4*s + 2)*(2*s - 4*s + s) in the form b*s**2 + f + p*s and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -8*i + i - 2*i**2 + 3*i + 0*i. Let k(y) = -3*y**2 - 8*y. Let c(g) = 3*k(g) - 7*v(g). Find the second derivative of c(f) wrt f.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 0 - 1)*(-2 + 3 - 2)*(3 - 2 - 3)*(8*d - 3*d + d).\nAnswer: 108*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 33 = -5*f, -4*y + 6*f - 57 = f. Let t = -9 - y. Let s = 0.78 - -0.22. Which is the nearest to 2? (a) t (b) 2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 + -32235.\nAnswer: -32221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 985, 976, 961, 940?\nAnswer: 913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4905644.1 to the nearest 100000.\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = 26*w + 120 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 17\/2, 3.7, -0.3?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - u - 69 + 65 = 0, 0 = -y + 5*u + 14 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1.91 times -0.173\nAnswer: 0.33043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**2 - 28904*s - 2116992 = 0. Calculate s.\nAnswer: -7152, -74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -42*w**2 + 6 - 4 + 14*w**2 + (-w - w**2 + w)*(3 - 2 - 3) - 4 + 4 + 2*w**2 - 2*w**2 + w**2 - w**2.\nAnswer: -26*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + (-6)\/(-1) + -73. Let p = i - -211. Does 28 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 3*n**4\/4 + 52*n**3\/3 - 247*n**2 - 2. What is g(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8233 (base 12) to base 7.\nAnswer: -56154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1942772 take away -4573?\nAnswer: 1947345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, h: 7}. Give prob of sequence hchh.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2763 and 10?\nAnswer: 27630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -145 (base 8) in base 12?\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1069*c - 49029 = 65354 for c.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand m - 10*m**4 - 11 + 11 + (0*m**3 - 2*m**3 + 0*m**3)*(-2*m + 0*m + 4*m).\nAnswer: -14*m**4 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b**(4\/13)*b\/(b*b\/((b\/(b*b**22))\/b))*(b*b\/b**(9\/7))\/(b*b\/((b\/(((b**(1\/36)*b)\/b)\/b)*b)\/b*b*b)) assuming b is positive.\nAnswer: b**(-62263\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8736\/1056*(-1 - 0 - -2). Let d = -2173\/220 - -52\/5. Let a = d - g. Calculate the common denominator of a and -31\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 363333 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -212\/793 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11286 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**3 - 8*m**3 + 16*m**3 + (-4 + 4 - 1)*(2*m**3 - 4*m + 4*m) - m**3 - 3*m**3 + 2*m**3 + (2 - 5 + 4)*(m**3 - 2*m + 2*m) + m**3 + 0*m**3 - 2*m**3.\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -35*i**2 - 31*i**3 - 9*i + 46 + 26*i**2 + 19. Let h(t) = -16*t**3 - 4*t**2 - 4*t + 33. Let p(k) = -9*h(k) + 4*s(k). Differentiate p(g) wrt g.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, q: 2, o: 3, b: 3, a: 6}. What is prob of picking 2 b, 1 a, and 1 q?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {s: 8, y: 1, r: 11}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 302959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4076, 4, -828\/7.\nAnswer: -828\/7, 1\/4076, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/231 and 76\/147?\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94058, 188160, 282308, 376502?\nAnswer: 470742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/420*-6*(-24)\/(-12).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1038 - 262?\nAnswer: -1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/3784199?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 685*a**3 + a - 1336*a**3 + 662*a**3 - a.\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48446 is divided by 3486?\nAnswer: 3128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 + -1 - (16\/6232)\/((-222)\/(-80142))?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29)\/((-957)\/22))\/((-12)\/(-6)*4\/(-492)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 0 + 2)*(31*w - 22*w**2 - 31*w - 3*w**2 + 2*w**2 + 3*w**2 - 5*w - 2*w**2 + 5*w + (0 + 0 + 2*w)*(-2*w + 2*w + 2*w)).\nAnswer: 90*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -54?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 15*u + 26. Let l(m) = -7*m - 13. Let x(p) = 7*l(p) + 3*q(p). Let v = 6 - 11. Is 41 a factor of x(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599073 is divided by 774?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*q - 66 = 49 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 44 + 16. What is the remainder when l is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 + -0.1. Let k = -830 + 832. What is the closest to 0.1 in k, 0.4, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 6 + -7 - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s + 70 = 12*s + 4*s. Find w such that 2\/5*w**s + 8\/5 - 8\/5*w = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2826?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.222 (b) 1 (c) -2\/7 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 863*y = -542*y - 18448 - 47587 for y.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -28. What is the second smallest value in -0.4, u, 0.3, 16?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = p + 3*p + 53718, 26819 = j - 10*p. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 734, 2956, 6654, 11816, 18430, 26484, 35966?\nAnswer: 46864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/20 of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2. Let u(z) = -155805*z**2 - 156573*z**2 + 313186*z**2. Give u(f(n)).\nAnswer: 808*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000055184 rounded to six decimal places?\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 570 - 574. Let a be g + -7 + 8 + 27. Solve -3*f - a = 5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 0) + 7\/7. Suppose -3*y + 17 = -2*q, 5*q = -8 + 3. Solve -4*l - 21 = -5*x, 2*x = 3*l + f*l + y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*g - 189*g + 94*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3316041*q**3 + 23208645*q**2 - 25493*q + 7.\nAnswer: (q + 7)*(1821*q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -524, -1128, -1732, -2336?\n\"Answer: -604*j + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -4 - -2 - -2 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8042175 and 16740?\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61562 is divided by 935.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -38408, -38464, -38498, -38498, -38452?\n\"Answer: 2*v**3 - v**2 - 67*v - 38342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -513623949 divided by -3981581.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-55)\/10)*(221\/65 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwg when three letters picked without replacement from {p: 6, g: 4, l: 2, w: 6}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20 - 7d?\nAnswer: -5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*j - 2, -2*j = -f + j. Let o be 4\/22 - 450\/(-66). Factor d + 3*d**2 + d**2 - o*d**3 - 4*d**3 + f*d**3.\nAnswer: -d*(d - 1)*(5*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10240412 + -2?\nAnswer: -10240414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, p: 2, m: 1, f: 11}. What is prob of sequence pc?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 - 10. Let j = 11 + i. What is the highest common divisor of j and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -22*x - 1427. Let z be c(-65). Solve -2*u = z*i + 2, -8*u + 4*u + 3*i = 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 3*n + n)*(118*n**4 + 122*n**4 - 216*n**4) + (-4*n + 0*n + 3*n)*(-4*n**4 - 3*n**4 + 0*n**4) + 13*n + 3*n**5 - 13*n.\nAnswer: -38*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 + 79. Suppose 5*d + 112 = 4*s, -3*s + d + h = -62. Let o(v) = -v**3 + 4*v + 1. Calculate the remainder when s is divided by o(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*w + 0 = -166, -190 = -2*t + 3*w. Let u = t + -87. Solve u*y + y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 356 + 60. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 4*k + 31, -88*n - 29 = -89*n + 4*k. What is the third smallest value in n, -2\/15, -4\/3, 0.4, -9?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2319, -4651, -6985, -9321?\n\"Answer: -u**2 - 2329*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**4\/24 + 2*c**3\/3 - 3*c**2\/2 + 2*c. Let o(b) be the first derivative of u(b). Let f(z) = z - 1. What is -3*f(s) - o(s)?\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9\/56 (b) 0.6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 9*h**2 + 12*h + 12. Let k = -19 - -28. What are the prime factors of n(k)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(120))\/sqrt(8))\/((sqrt(30)\/sqrt(2))\/sqrt(5)))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 3. Suppose -4*l - 7 = -27. Suppose -4*t + 238 = l*i, -i - 10 = b*i. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 41*t - 3. Let w be -2 - -2 - 34\/(-34). Determine x(w).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-15)*-1*(-50)\/15.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-44)\/66*(-1 - 5). Suppose -2*h - 6 = -3*x - 0, -12 = 2*x + 4*h. Suppose f = 5*b - x*b - 28, 2*f = -o*b + 14. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + j + 2. Suppose 4*c - 24 = 2*c. Let q(w) = -8*w**2 - c*w**2 + 22*w**2 - 3*w - 7 - 8*w**2. What is 7*d(k) + 2*q(k)?\nAnswer: 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38857394 and 241.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 139233 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v + v - v + 7*v**2 - v**3 + 4. What are the prime factors of u(5)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 4*x + 7. Let c be o(5). Suppose 0 = c*i - 0*b + 3*b + 8, b = -2*i. Let v(a) = 4*a - i*a + 6 + 0*a. Determine v(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3220)\/(49 - 3) - (0 + -9 + 0 - -4)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from whhhhww?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -845633 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*f**3 - 34*f**3 - 81*f**2 + 83*f**2.\nAnswer: -55*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 h when two letters picked without replacement from {m: 4, z: 2, b: 1, h: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -13 (b) -0.04 (c) 21.14 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*t + 0 + 0*t)*(2 + 33 - 2)*(0 + 4 - 2).\nAnswer: -198*t - 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 3. Let v(o) = -6*o**3 - 2*o**2 + 2*o + 5. Let y(f) = 6*f**3 + f**2 - 2*f - 4. Let d(x) = z*y(x) + 3*v(x). Calculate d(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 56 (c) -200 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*g + 48*g - 3*w + 1 = 0, 2*g - 12*w + 34 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 121737?\nAnswer: 121742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by 2\/(-7) + (-184)\/(-56).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 971576926 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/2)*m*m*m**(-3\/2)*m)**(1\/20)*(m**(-7\/2)*m*(m*m\/m**(1\/2)*m)\/m)**(1\/17) assuming m is positive.\nAnswer: m**(31\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 150872, 3, -1 in decreasing order.\nAnswer: 150872, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1595879 micrograms to nanograms.\nAnswer: 159.5879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 22 (b) 19 (c) 5 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.1 and -168.626.\nAnswer: -691.3666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c + 42. Let g be f(-8). Let u(r) = -172*r**2 + 341*r**2 - 5*r - 170*r**g. What is u(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 4598.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*i**5 - 383 + 383 + 10*i**2 wrt i?\nAnswer: -960*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from jkkjkdkd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 859.307 millennia in months?\nAnswer: 10311684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -25. Let t(u) = 2*u**2 + 10. Let s(j) = -5*j**2 + j - 29. Let p(z) = a*t(z) + 2*s(z). List the prime factors of p(5).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*p + 0)*(-4*p + 1 - 1) + 544*p - 544*p + 71*p**2.\nAnswer: 79*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2165 and -0.003.\nAnswer: -0.0006495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 8*f - 1. Let u be r(1). Suppose -u = -4*c + 1. Let s = -1 + 1. Solve 0*z - c*z + 2 = s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 4 = 4*u + 5*j, -1 = u + 4*j. Suppose s - u = -5*m, 4*m - 8 = 3*s + 2. Are 1\/9 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/2100 and -107\/815250?\nAnswer: 11413500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 864 and 7703724.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 140*d + 1419. Calculate k(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 266432 and 27968.\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of w**4\/4 - 5*w**3\/3 - 7*w**2\/2 + 4*w + 5. Let i = 18 - -1. Let r = i + -13. Calculate n(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1446.9703 - 1447. What is the smallest value in -0.1, 2\/11, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 5*o = 3*z, 5*z - o - 28 = 0. Suppose -z*a = -9*a + 2*n + 18, -3*n = -4*a + 19. Solve -3*w - 5*k = -5, a*w + 3*k = -0*w - 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 78640 to the nearest one thousand.\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 12:25 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101 a factor of 39195600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1567.5 or 25.93?\nAnswer: 1567.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 144.7 * 0.24779\nAnswer: 35.855213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than 325312572957.5?\nAnswer: 325312572957.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5282 + -5276. Solve 14 + q = -5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*z**3 + 11*z**3 + 7*z**3 + 96*z**3.\nAnswer: 284*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 7 = -3*h - 2, h + 3 = 2*g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4 - 8*y**3 - 1204*y**2 + 7328*y - 9792 = 0.\nAnswer: -34, 2, 4, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*v - 0*m - 212, v + 3*m = 49. Let j(t) = -55 - t**2 + v + 11*t - t**3 - 8*t. Calculate j(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 8:48 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/7 - 16*h**2\/7 + 2*h.\nAnswer: 2*h*(h - 7)*(h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 12*v**2 - 254*v - 33. Give g(-23).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -270179, -540360, -810497, -1080584, -1350615, -1620584, -1890485, -2160312?\n\"Answer: k**3 + 16*k**2 - 270236*k + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + -110 + 117\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + c**2 - c. Let p be i(0). Let o = -1271 - -1286. Solve p = 4*n + q - o, -4*q + 36 = 4*n + 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 5*g**2 - 10*g - 28. Let f be x(7). Solve q + 3*t = f, -q = -4*t - 0*t for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 63. Let m be p(-24). What is the second derivative of -10*g**4 - 45*g - 82*g + m*g**4 + 63*g**4 wrt g?\nAnswer: 1104*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i**2 + 29*i**2 - 32*i**2 + 11*i**2 + 9*i - i**3 - 8 to the form c*i**3 + d + o*i + m*i**2 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 9*h**2 + 2. Let p be u(-9). Let v(i) = p*i**2 - 2*i**2 + i**2. Let q(x) = -x. Determine v(q(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -5, -3463.\nAnswer: -3463, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-27)\/2*(-8)\/12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (112\/(-24))\/(-14) + (-1600)\/(-6). Let f = -266 + h. Is f bigger than 1\/619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(s\/(s\/s**(1\/2))))**(-23\/3))**37)**(-4\/7) assuming s is positive.\nAnswer: s**(1702\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w. Let b(c) = -3 - 9 + 12 + c. Let m(u) = 13*b(u) + 6*y(u). Let f(i) = -i**2 - 6*i. Determine -5*f(a) + 6*m(a).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.05 - -0.05. Let x = 432.03 + -429. Let q = x + t. What is q rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101862642 divided by 42.\nAnswer: -2425301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2027*s - 723639. Determine m(-357).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11191541111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 26 = 25. Calculate the greatest common divisor of 221 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and -3644559.\nAnswer: 54668385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 + 3 = -27*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77247 - 7029355\/91. Let y be 8 + 984\/(-132) - (-222)\/(-286). Let b = y - a. What is the common denominator of 41\/2 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2963.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -6. Let l(z) be the first derivative of z**3\/3 - z**2 + 9*z - 5. Is l(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -261969700 and 0.09.\nAnswer: -261969699.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4.4, 3\/5, 8, -18, 8.3 in ascending order.\nAnswer: -18, -4.4, 3\/5, 5, 8, 8.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {z: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28361*h**2 + 56114*h**2 - 27753*h**2 + 221*h**3.\nAnswer: 221*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x - 1. Let j(v) = -4*v - 2. Give -6*h(m) + 5*j(m).\nAnswer: -2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**4\/3 + 3*q - 46. Let l(d) = 329*d. Calculate b(l(k)).\nAnswer: -432964*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-36*n + 70*n - 36*n)*(8*n + 0*n + 0*n - 4*n + 2*n + 0*n + (-9*n - 2*n + 2*n)*(-3 - 2 + 4)) to the form k + d*n + l*n**2 and give l.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -1\/160*c**5 + 9\/8*c**2 - 29\/48*c**3 + 59*c + 1\/8*c**4 + 0. What is u in q(u) = 0?\nAnswer: 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 14*a - 18. Let v be r(12). Solve v - 2*q**2 - 4 - q**4 + 3*q**3 - 2 = 0 for q.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 52*i**3 - 14*i**2 + 3*i - 17. Let f be j(-11). Let d = 122266 + f. Suppose d = 20*l - 49290. Round l to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 2*g**7\/21 + 8*g**6\/3 + 67*g**5\/5 + 44*g**4\/3 - 136*g**3\/3 - 128*g**2 + 1215*g. Suppose n(q) = 0. What is q?\nAnswer: -16, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 285\/(-135)*(-5 - (17 - 13)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38876?\nAnswer: 2, 9719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22612 + -22605.0406. What is k rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*r - 7852 + 1222. Let l be (1 + r)*13\/((-195)\/(-10)). Calculate the highest common factor of l and 1026.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 701094 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 2*t - 15. Find the second derivative of t*z + 4*z**3 - 3*z**3 + z - 5*z**3 wrt z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3290 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 118, 0, -4?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 960947759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c**2 + 2*c**3 + 7157*c**4 - 7161*c**4 - 7*c**2 to the form s*c**3 + f + w*c**2 + z*c**4 + b*c and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b - 60*b - 14*b + 240240 = 0. Is b a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -249 - 6*t**3 - 246 - 15*t + 61*t + 756 - 253 to the form y*t**3 + z*t**2 + k*t + d and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 507*p**3 + 4*p**2 - 625*p - 4. Let z(w) = 1016*w**3 + 7*w**2 - 1248*w - 7. Let u(m) = -7*j(m) + 4*z(m). Find the second derivative of u(d) wrt d.\nAnswer: 3090*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*k - 102, -k - 4*u + 3*u + 37 = 0. Suppose 38 = l - k. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 214504.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*b = -0*b, -j - 4*b = 0. Let i = 2 + j. Suppose -i*g - 228 = -6*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -3\/8, -39\/4 in descending order.\nAnswer: -3\/8, -2, -3, -39\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -6. Let i = a + 0. What is the nearest to i in -2\/5, -2, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 5*u**4\/24 + u**2\/2 - 11*u. Let a(l) be the first derivative of k(l). Let x(y) = -4*y**2 + 9 - 9. Give a(x(t)).\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 134*c + 5117. Give m(-38).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16296, -32592, -48928, -65322, -81792?\nAnswer: -98356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3362*a - 457288. What is n(136)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -2\/10595?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5786 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -225130 to the nearest one thousand.\nAnswer: -225000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1197430*j**2*t - 6*j**2 + 63*j - t**4 + 249 wrt t.\nAnswer: -1197430*j**2 - 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3036 divided by 6.\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 12 + 0*v - 13 + 0*v. List the prime factors of g(-6).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(3)*3 + (-4 + sqrt(320))**2 + 5.\nAnswer: -61*sqrt(5) + 341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 356428 - 356426.580259. Let a = -1.419 + i. What is a rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -2*k - 12. Suppose -4*z + 4*c - k = -5*z, -c + 3 = 0. Suppose g = 3*j + 1, -j - 4*g + 4 = -z*j. Solve j*n = -4*n - 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(-288*c + 3541*c + 2831*c).\nAnswer: -6084*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004356 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*j - 143 = 646, -3*y = -j + 799. Let g be (-2)\/(1 + 276\/y). Let o = -38 + g. Calculate the remainder when o is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 83992 and 10500.\nAnswer: 220479000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 882 = 2*a + 4*t, 3*a + t - 1332 = 4*t. Let o = -256 + a. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1321177992?\nAnswer: 2, 3, 55049083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 11, r: 3}. Give prob of picking 2 r and 2 l.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**3 - 4*o**2 - 4*o - 4. Let q be w(-3). Suppose 3*l - q = l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, 170, -27 in ascending order.\nAnswer: -27, 1, 7, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2. Let j(g) = -23*g - 19*g + 11*g. What is u(j(a))?\nAnswer: -961*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15041)\/(-30082))\/(((-129)\/10)\/3)?\nAnswer: -5\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 4:46 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*h - 41*h - 203*h + 143*h - 299*h.\nAnswer: -420*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*c**2 + 4*c - 4*c + c.\nAnswer: 133*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 1 = 5*r, -104194*r + 104196*r + 1 = 4*h + 35 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5907450, -23629894, -53167300, -94519668?\n\"Answer: -5907481*d**2 - d + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -d4d (base 15) in base 12?\nAnswer: -189a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -39a0 (base 15) to base 2\nAnswer: -11000000001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 256047, 1024130, 2304265, 4096452?\n\"Answer: 256026*a**2 + 5*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 21 = -5*v + 19, -v - y = -2 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - x. Let l(u) = 7*u**2 - 6*u - 7. Let j = 15 + -14. Let t(z) = j*l(z) - 6*q(z). Calculate t(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**4 + 11*k**3 + 214*k**2?\nAnswer: -24*k + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - 5. Let r = -5 - m. Suppose 2*n - 26 = -3*g, 2*g = r*n + n - 4. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h**3 - 18*h**2 - 2*h + 6. Let r(k) = -20*k**3 - 49*k**2 - 6*k + 17. Let a(o) = -4*r(o) + 11*v(o). What is a(3)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-43784)\/(-36) + -4 + (-102)\/(-27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-3\/7)*x*x**(15\/8)*x*x*(x**(-4))**(-2\/25) assuming x is positive.\nAnswer: x**(9273\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 4 - 2. Let t(l) = l**3 + 4*l**2 - 4*l + 5. Let d be t(-5). Suppose d = k*w - 4 - 14. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uggcsuugssussuss. What is prob of sequence sguc?\nAnswer: 1\/416","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/6 - (-30)\/(-8) and (26\/(-39))\/((-8)\/47)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 5) in base 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1184 and 52.\nAnswer: 15392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*sqrt(2) + 3)**2.\nAnswer: 7 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/7 and -113\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i = -1 - 29 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one halves of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1\/4, -4, 4, 1, 223 in decreasing order.\nAnswer: 223, 4, 1, 0.3, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/24 and -29\/21504.\nAnswer: 21504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**5 + 75\/4*o**3 + 81\/4*o**4 - 54*o**2 + 0 + 12*o = 0.\nAnswer: -4, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d**5 - 3*d**4 + 5*d**3 + 7*d**2 + 12*d + 8. Let u(w) = -9*w**5 - 6*w**4 + 9*w**3 + 15*w**2 + 24*w + 15. Let c(x) = 7*l(x) - 4*u(x). Factor c(h).\nAnswer: (h - 2)*(h + 1)**3*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 4*g + 0*g)*(5*g - g - g) + 5*g**2 - 6 + 3 - 6*g**2.\nAnswer: -10*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -9*h + 19, -2396*h + 2399*h = 2*c + 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 7*n + 4*n)*(9 + 3 - 5)*(-6 + 4 + 0)*(39 - 6 + 17).\nAnswer: 3500*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.4 (c) -35\/46342 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 14 = -3*b, b + p = -0*b - 6. Let s be (1*(-3)\/15)\/1. What is the third biggest value in b, s, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78 + -29. Let o = 12 + -56. Let a = o + l. Calculate the remainder when 6 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125060126723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -13020?\nAnswer: -13003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 3*w**2 + 5*w - 3. Let f be a(4). Let i be 6\/(-4)*110\/(-15). Let p = 10 - i. Put p, 3, f in descending order.\nAnswer: 3, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4567 at least as big as 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*(sqrt(3) + 2) - -3*(sqrt(3) + 2)) + 5)*1*5)**2.\nAnswer: 10350*sqrt(3) + 19300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-42)*-4*(-1)\/2 + 532\/(-57)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -9*k**2. Let f(j) be the first derivative of 4\/3*j**3 + 0*j**2 + 0*j + 28. What is m(f(d))?\nAnswer: -144*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 2 (c) 0.1 (d) 10 (e) -0.4 (f) -5.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/40425 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 251, 1010, 2271, 4034?\n\"Answer: 251*u**2 + 6*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01936212 to 4 decimal places.\nAnswer: 0.0194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v**3 - 3*v**2 + 3. Give u(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 30.81037kg?\nAnswer: 30810370000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -31*l**2 + 944. Let q(m) = -m. What is a(q(x))?\nAnswer: -31*x**2 + 944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16 - -19) + (-66)\/18. What is the nearest to 1 in 9, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.08 * 3.7.\nAnswer: 3.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16348346 to the power of 1\/4, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.5500892 kilograms?\nAnswer: 550.0892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwmmmmww. What is prob of picking 2 m and 1 w?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -900 - -951. Calculate the highest common divisor of 1207 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 5*n - 5, -14*b - 4 = -12*b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2.615226 hours?\nAnswer: 9414.8136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/46 and -31\/284018.\nAnswer: 6532414","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 12*h + 3*f + 15 = 0, -3*h = 5*f - 32. Suppose 0 = -2*s + 3*b - 9, -5*s - 2*b = -25. Suppose h*d - s*d = 714. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - -2 - (-640 - 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-3 + 3 - 5) + -11\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 3. Let l be t(-3). Suppose -2*x - 3*x + 51 = a, -5*a + 5*x + 135 = l. List the prime factors of a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 42, 29, 6, -27, -70?\n\"Answer: -5*h**2 + 2*h + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 20*y**2 - 38*y - 22. Suppose 4*b - 3*j + 35 = 0, 3*b = -2*j + 6*j - 28. Let w be (2\/(-4))\/(b\/352). Does 12 divide s(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1352 = 20*f + 1132 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, i: 3}. Give prob of picking 2 p and 1 i.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*s + 104287173 - 190919453 = 187117720. What is s rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: -559 + 11636\nAnswer: 11077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 674245?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and -1571.\nAnswer: -109.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, -4, -3, 3.\nAnswer: -6, -4, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19065800 or 19065798?\nAnswer: 19065798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -13. Let n(g) = g**2 - 3*g + 12. What is the remainder when 64 is divided by n(y)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 9. Find the second derivative of -o*m**3 + 5*m + 17*m**3 + 2*m**3 + 9*m**3 wrt m.\nAnswer: 126*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -13*u**2 - 182*u + 182. Let v(d) = -2*d + 2. Let n(t) = 6*r(t) - 546*v(t). Let j(c) = -4*c. What is j(n(w))?\nAnswer: 312*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 120*n**2 - 201*n - 4052. Determine o(118).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*a - 15 - 267 = 208 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*p**5 + 36586*p**4 + 952128*p**3 + 4910418*p**2 + 7690140*p + 1630368 = 0. Calculate p.\nAnswer: -888, -102\/5, -3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 i when three letters picked without replacement from bnnijebcjjb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 - 53 - (6 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 65261568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 16 = 2*h - a, -3*h - 6 = 5*a. Let x(p) be the second derivative of 0 + p + 0*p**4 + p**h - 2\/5*p**5 + p**2. Factor x(q).\nAnswer: -2*(q - 1)*(2*q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29.2 - 26. Let d = -17.2 - -17. Let k = d + q. What is the nearest to 1\/4 in -1\/7, k, 5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0958983 and -0.2?\nAnswer: 0.01917966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zbzrvnr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.63 + 198.37. What is the third biggest value in -4, -2\/7, 1, d?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**6\/360 - 11*n**5\/120 + n**4\/12 + 43*n**3\/6 + 7*n**2. Let c(s) be the first derivative of d(s). What is c(-9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 29?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -32*x**2 - 41 - 13 + 8*x**3 - 9*x**3 + 3 - 44*x. List the prime factors of q(-31).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**4\/9 + 269*y**3\/9 - 514*y**2 + 3036*y - 6024 = 0. What is y?\nAnswer: 6, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 29 = 2*u + 174, -5*u = -5*h + 730. Let j be (-8)\/3 - -2 - (-245)\/h. Is j at least 4\/415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 2 - 2*b + 0*b**2 + 1\/3*b**3. Calculate the least common multiple of 6 and t(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -34*p**2 + p - 1. Let s be f(1). Suppose -8 = -2*c - 120. Let o = s - c. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*i**2*m**3 - 2*i**2*m - 3*i*m**4 - 2*m**2 - 4 wrt m.\nAnswer: 48*i**2 - 72*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(726\/9))\/((-1)\/(-10) - (-3707)\/13480)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**3 - 13*y**2 + 9*y + 13. Calculate the remainder when d(-11) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 25\/(-875)*-154 - 3*28\/60. Let l(i) be the first derivative of 0*i + 10*i**2 + 52 - 4\/3*i**x. Find h, given that l(h) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 121 + (36 - (20 + 46)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21680 - 18279. What is the smallest common multiple of i and 1074?\nAnswer: 20406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3991 + 4439. Calculate the least common multiple of 8 and x.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2193001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.3317 + 0.3317. Let c = -2 - -5. Suppose 3 - 2 = a. Sort n, c, a.\nAnswer: n, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*4\/(-6) + -33 + 8. Let u(j) = -j**3 - 23*j**2 - 41*j + 41. What is the smallest common multiple of 3 and u(x)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -63482, -0.038, 0?\nAnswer: -63482","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6325 and 241100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 254*o**2 - 1\/168*o**8 + 0 + 0*o**3 + 0*o + 17\/60*o**6 + 0*o**4 - 3\/10*o**5 - 1\/15*o**7. Factor b(s).\nAnswer: -2*s**2*(s - 1)**2*(s + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, n: 11}. Give prob of picking 2 n.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1\/3))**13 assuming i is positive.\nAnswer: i**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gn when two letters picked without replacement from nnknnkknkknkgnxnn?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 3*u**2 - 3*u + 2. Let c be m(-3). Suppose c - 5 = 3*t. Solve -x - 4*x = -t*z - 25, -z + 10 = 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(1\/4)*n**(-1\/11)\/n*(n**(2\/5))**(1\/25))**(-18))**(-21) assuming n is positive.\nAnswer: n**(-337743\/2750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 2:13 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*a = 2*n - 548 - 162, 2*n = -2*a + 70 for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.1? (a) 2\/17 (b) -1 (c) -0.5 (d) 0.3 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 127, 1\/4, 8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*i - 29 - 88 = 0. Does 28 divide i\/((-831)\/1206 - (-2)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, z: 1, o: 1, x: 1, y: 1}. What is prob of sequence yzol?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**3 + 7*v**2\/2 + 7*v + 2. Suppose 0*w - 3*w = -15. Let t(l) = 2*l**2 - 5*l - 5. Let g = 6 + 1. Calculate g*t(o) + w*n(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 12*d**2 - 11*d + 4. Let i be h(-11). Let z be (3 - 1)\/(i\/3). Which is the closest to -1? (a) 3 (b) 2\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28.99 - 27.59. What is the closest to 4\/7 in 1, -2, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 1:18 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyzjzlrozzyl. Give prob of sequence rz.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147443888 and 752?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112427 is divided by 1836.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 920 - 288 - 676 + 4*c. Give f(-11).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8222, 8129, 7974, 7757, 7478?\n\"Answer: -31*y**2 + 8253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 14 + -13 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -198 (base 10) to base 2.\nAnswer: -11000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-11 - (1 + -5))) + -7 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 93 + -5?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3952.06 + -3973. What is v rounded to one dp?\nAnswer: -20.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.628212mm to centimeters.\nAnswer: 0.3628212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 3\/2, 20\/9, 0, 5.9?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, b: 2, m: 3}. What is prob of sequence mmom?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1930 - -921. List the prime factors of v.\nAnswer: 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 234.95783 - 235.08. Round d to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 7 - 1 = 0. Let m be 0 + s - (4 + 5751). Does 13 divide 1*(-1)\/2 + m\/(-114)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 88 = 3*t - t, -3*a = 3*t - 84. Suppose 5*q - 238 = 107. Calculate the remainder when q is divided by a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 0)\/(10\/(-15)). Let o(b) = -n + 2*b**2 + 3. Let s(j) be the third derivative of j**4\/24 - j**2. Give s(o(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 1\/4 (b) -8.28 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 3*o - 3. Let x(f) = -43*f - 2*f**2 + 122*f - 43*f - 40*f + 4. Let g be (-3 - -2)\/(2\/6). Let a be 3\/2*56\/(-21). What is a*y(m) + g*x(m)?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -55*l**2 - 383*l - 2. Let f be j(-7). Which is the closest to 0? (a) f (b) -1\/4 (c) -0.3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + n - 13 = 0, -3*a - 5*n + 8 = -3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + m**2 + 2. Let a be r(0). Let g be (-6)\/4*(0 - a). Let o be 2 - 0 - 21\/g. Put -1, 1, o in descending order.\nAnswer: 1, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 25. Let k = 12 - m. Suppose 3*c - k = -i, 5*c - 5 + 0 = -i. Solve -f + 3*l - 2*l = -2, i*f = -2*l + 17 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88957 is divided by 302.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 342764367 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/324*((-4707)\/(-504) - 2) and 149\/2016.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105823035?\nAnswer: 3, 5, 433, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3790, -5 in increasing order.\nAnswer: -3790, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -3*s**2 + 42*s - 49. Let j be x(7). Round j to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 9*z + 3 + 34*z)*(-293 + 106 + 2*z - z).\nAnswer: 30*z**2 - 5607*z - 561","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 293014 rounded to the nearest ten thousand?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6666296 is divided by 4115?\nAnswer: 4111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(693)*-2 - sqrt(693)))\/(sqrt(1584)*-2))\/(5*sqrt(9)*-2 - (sqrt(324) + sqrt(9))).\nAnswer: sqrt(7)\/136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/213 - 1865\/2769. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/21 (b) -12 (c) 9 (d) 297 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + c + 39 = 2*c, 4 = -4*c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**5 + h**4 + 13566*h**3 - 795*h**2 + 65*h wrt h.\nAnswer: -60*h**2 + 24*h + 81396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 525 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 + 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(1216) - (-2 + sqrt(1216) + sqrt(1216))*-4 - -5*-2*sqrt(1216)) + (4 + sqrt(1216)*-2 - (-4*sqrt(1216) + -1)))**2.\nAnswer: -288*sqrt(19) + 7350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -21*g**2 + 9. Let a(n) = 32*n**2 - 14. Determine 5*a(t) + 8*r(t).\nAnswer: -8*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3\/3 + 194*j**2 + 26638*j\/3 + 24910 = 0. Calculate j.\nAnswer: -235, -53, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = d - 2*d. Let g be 8*3*(-3)\/d. Let t = 471 + -469. Solve -2*y = -k + 3*y - g, 3*k = -t*y - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1759553, 1759551, 1759549?\nAnswer: 1759547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -1, 0.04.\nAnswer: -1, -1\/4, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/12)\/((-876)\/1752)?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + -1221100?\nAnswer: -1220221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = -r. Suppose r*n - q - 4 = 6, 0 = n - 5*q + 4. Suppose -n*x = -x - 95. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 98550.55 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -0.3, -5, -3\/7, 1\/198, -4 in ascending order.\nAnswer: -17, -5, -4, -3\/7, -0.3, 1\/198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37\/5 of a millennium?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2237, 2305, 2491, 2855, 3457, 4357, 5615, 7291?\nAnswer: 9445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 8*s + 100. Let g be x(7). Let z(l) = 9*l**2 + l. Let a be z(-1). Let r = a + g. Solve 4*w - 3*k - 13 = -30, -3*k = r*w - 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/5 + 41508*p\/5 - 41507\/5.\nAnswer: -(p - 41507)*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -53. Let f(v) = -8*v - 12. Let z be 2 + (-2 + 2 - 5). What is the lowest common multiple of f(z) and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11 and -106.42.\nAnswer: -95.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 27.9. What is the closest to 1 in 4, -0.03, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25.50494 + 25.53. Let f = -7.024 + 7. Let y = f + g. What is y rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 42 + (2 + -1)*0. Let t = -95 - -162. Suppose 48 = 2*z - 4*o, 2*o = 5*z - t - 13. Calculate the highest common factor of k and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1938106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 2090\/300)\/(14\/(-35))\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9185 is divided by 1837.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/((z\/(z*(z**(-1\/3)*z)\/z))\/z)*z**(-3\/2)*(z**(-5)\/z)\/(z*z**7) assuming z is positive.\nAnswer: z**(-77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*n + 0*n**4 - 7*n + n**4)*(-30 + 30 + 9*n).\nAnswer: 9*n**5 + 18*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 51520787.78 to the nearest one million.\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/2 + x**3 + 3*x**2\/2.\nAnswer: -x**2*(x - 3)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 875558 is divided by 35021.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4658 is divided by 202.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a litre in millilitres?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -969045 divided by -11\nAnswer: 88095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*r - 2 = 0. Let a be (50\/(-4))\/(2\/(-4)). Let d = a - r. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, f: 1, h: 1, p: 3, z: 1}. Give prob of sequence pzh.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 - 2 = 2*j. Let h = j - -26. Suppose h = 5*m - 4*s - 148, -2*s + 92 = 4*m - 42. What is the remainder when 60 is divided by m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/272*156)\/((-3)\/8).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(((-1)\/((-1)\/1))\/((-64)\/64))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(8) + (sqrt(10)\/(sqrt(20)\/sqrt(4)))**2 + (4*sqrt(20)\/(sqrt(70)\/((sqrt(21)\/sqrt(3) - sqrt(7)) + sqrt(7))))**2 + 0.\nAnswer: 2*sqrt(2) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2c (base 13) to base 10\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4249)\/(-15)*(30\/(-4) - 3). Let i = c - -2969. Find the common denominator of 52\/3 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -131.7 > -0.033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -24, -78, -184, -360, -624, -994, -1488?\nAnswer: -2124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2330316 - -1572?\nAnswer: -2326524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210598896.\nAnswer: 2, 3, 4387477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 6808 + 2366. Suppose 3*j - j - o = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 1\/2*v**2 - 1\/4*v**4 + 2\/3*v**3 - 2*v - 2. Let g(t) = 0. What is t?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (321*p + 988*p - 609*p + 1319*p + 610*p)*(-2*p - 3*p + 2*p) to g*p**2 + u + w*p and give g.\nAnswer: -7887","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3.139 - -0.00762\nAnswer: 3.14662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 + 172 - 92*p + 90*p + (2 + 2 - 3)*(-4*p - p + 4*p).\nAnswer: -3*p + 187","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) 3\/4 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y - 1. Let j be p(-1). Suppose -3*i - j*s = -3, 2*i + 3*s = -0*i + 7. Let r = -0.1 - 2.9. Which is the biggest value? (a) r (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*x + 825*x = -241*x - 26542 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -11*q - 4. Suppose -4*r + r - 30 = 0. Let p be v(r). Suppose 3*u = 4*u - 2*z - p, -5*u + 518 = -4*z. What is the remainder when u is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppcctppcpccctpcc. What is prob of sequence ppt?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -14*v**2 + 4*v + 11. Let a(l) = 4*l + 5*l**2 - 4 - 2*l - 3*l. Let j(o) = 17*a(o) + 6*t(o). Suppose 104*b = 119 - 847. Give j(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*p = -6, -6*v + p = -2*v + 2. Let l be (-6)\/3 + 60\/(v - -6). Solve -27 = -l*i + 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**2 + 9. Let q(v) = 2273647*v. Determine q(x(i)).\nAnswer: 9094588*i**2 + 20462823","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 4:15 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/11 in 5, -18\/7, 7.45, -1\/4, -0.1, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = 7*l - 6*k - 1114, 4*k = l - 142. Calculate the remainder when 22751 is divided by l.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*g**4 + 1\/3*g**3 + 0*g**2 + 0*g + 1\/3*g**5 + 0.\nAnswer: g**3*(g - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 1534 = 1555. Factor -2\/7 - 2\/7*p**s - 6\/7*p - 6\/7*p**2.\nAnswer: -2*(p + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 112 - 116. Sort -1\/6, l, -6 in descending order.\nAnswer: -1\/6, l, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2839842*p**3 - 91406*p + 6 wrt p.\nAnswer: 17039052*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110076.3 micrometers to nanometers.\nAnswer: 110076300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 8 = -6*z - 7*z + 12*z, -2*p + 5*z + 4 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 143 = 58*b + 19. Solve -9 = b*s - 3*o, o + 5 = 5*s - 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 81, 257, 533, 909, 1385?\n\"Answer: 50*z**2 + 26*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42316 and 36?\nAnswer: 380844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -178610, -178616, -178624, -178634?\n\"Answer: -q**2 - 3*q - 178606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10568387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*3*sqrt(405)*-2 + (-3*(sqrt(405)*2 + 1)*5)**2.\nAnswer: 7776*sqrt(5) + 364725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 7:25 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0 + 24. Let t = -20 - b. What is the greatest common factor of 36 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108234102, 108234100, 108234082, 108234042, 108233974, 108233872, 108233730, 108233542?\nAnswer: 108233302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 + 5 = 3*l + 4*a, -7*l + 2*a + a + 56 + 54 = 0 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4363495, 17454019, 39271551, 69816085, 109087615, 157086135, 213811639, 279264121?\n\"Answer: -i**3 + 4363510*i**2 + i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12424 is divided by 6134.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51941*c**2 + 51941*c**2 + 2195298*c**3.\nAnswer: 2195298*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 2. Let m be c(0). What is the second derivative of -4*b**3 - m*b + 6*b**3 + 0*b wrt b?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*u + 1016 = 1115. Solve -5*k - q - 9 = 0, 4*k + 3 = u*k + q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x. Let c(s) = s**2 + 3*s - 7. Let w be c(-5). Let k(t) = 3*t + t**3 + 3 + 6*t**2 + w*t + 3. Let q be k(-5). What is v(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m. Let c be d(1). Suppose 0 = 7*j - c - 5. Let n = 0 - -1. What is the remainder when n is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + b + 1. Let n(p) = 7*p**3 + 6*p + 10. Determine n(w) - 6*r(w).\nAnswer: w**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - t + 8, 0 = -5*j + 4*t - 6*t + 20. Let v be ((-20)\/(-5))\/(j\/3). Let l(h) be the third derivative of -h**4\/12 - 2*h**3\/3 - 6*h**2. Give l(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**4\/5 + 276*w**3\/5 + 5454*w**2\/5 - 41748*w\/5 + 7203 = 0.\nAnswer: -49, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1647 (base 13) in base 2?\nAnswer: 110011000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sjszfzpsffffzsfcpj. What is prob of picking 1 s, 2 z, and 1 j?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-3)*(2 + -5). Let f be -6 + 4 + 1*o. What is the units digit of f*((-2)\/(-10) + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 + 4*o + 1. Suppose 5*y = 4*g - 24, -y + 0*y - 2*g = 2. Let q(r) = r**3 - r**2 + 2*r + 1. Calculate the remainder when w(y) is divided by q(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3*14\/(-126)*(-9)\/(-12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 2)*(0*d - 3*d + 2*d)*(2*d**3 - d**2 + 2*d**2 - 2*d**2).\nAnswer: 6*d**4 - 3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(304) + 1 - 2*(sqrt(76)\/sqrt(4) - sqrt(19))) + -1*(sqrt(304) + -4)*1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*m**3 + 19*m**3 + 2*m + 42*m**3 + 2*m**4 + 16*m**3 + 22*m**2 + 2*m**3 as i*m**2 + x*m + f*m**3 + z + l*m**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71045 + 247434. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 85036*i + 5612368. Determine c(-66).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7 = x + v, 0 = -v - 5. Calculate the smallest common multiple of 7 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 3*m**2 - 3*m - 4. Let l be w(-3). Solve -5 = -6*y + 2*y - 5*p, l*p - 25 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 358184405 by -5.\nAnswer: -71636881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -65.69.\nAnswer: 262.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 52 = 14*f, 4*f + 6*c - c + 37 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(88)*1)\/sqrt(8)*5 + (sqrt(110)\/(sqrt(40) - sqrt(10)) + sqrt(1584) + -1)**2) + -2)*3.\nAnswer: -22326 + 252*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25763 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 765 + -761. Suppose 4*k + k - 10 = 0. Suppose -5*s = -m - 17, k = s - 2. Solve 5*x + q + 0 = m*z, -x = 3*z + 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3091218, 3091219, 3091220?\n\"Answer: n + 3091217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -483, -4\/7, 2 in descending order.\nAnswer: 2, -4\/7, -483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 1624042678.539.\nAnswer: -1624042678.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 minus 2790.1?\nAnswer: -2854.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27134455?\nAnswer: 5, 31, 175061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -21. Let w = -4 + r. List the prime factors of 1 - (-16 + w - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*g - 17677 - 16877 = 20*g. What are the prime factors of g?\nAnswer: 2, 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1179.68744 to one dp.\nAnswer: -1179.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 30*s**2 - 27*s + 59. Let p be l(-29). Let b(g) = 5*g**3 - g + 1. Let o be b(1). Solve -p = f + a, -o*f + 5*a + 19 = -16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-23 + 11 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99 and (-42)\/(-9)*48\/56 - -5.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.241 - 0.141. Which is the nearest to -41? (a) 1 (b) -0.4 (c) m (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 1\/5 (c) 3 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 989, 1392, 2063, 3002, 4209, 5684, 7427?\n\"Answer: 134*k**2 + k + 854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -329.22868 - 164.\nAnswer: -493.22868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 29*f**2 - 15*f + 62. What are the prime factors of j(18)?\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -81910, -163057, -244194, -325315, -406414?\n\"Answer: w**3 - w**2 - 81151*w - 759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 2 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73541*u - 147077*u + 73535*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20478723*i*w - 27372022*w wrt i?\nAnswer: 20478723*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -19*a**2. Let i(v) be the third derivative of v**5\/40 + 19*v**3\/6 - 19*v**2. Let x(t) be the first derivative of i(t). Determine x(w(b)).\nAnswer: -57*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i + 1. Let y(r) = r**2 - r. Let t(u) = -f(u) + y(u). Let l(x) = -x**2 - x + 1. Give -2*l(h) - t(h).\nAnswer: h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.36781195 rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*f**2\/5 - 2906548*f\/5 - 153552 = 0. What is f?\nAnswer: -27420, -14\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 103514405 + -3?\nAnswer: 103514402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 42704*p - 340. Let c(v) = -378*v + 3. What is 680*c(w) + 6*n(w)?\nAnswer: -816*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b - 1. Let l(m) = -9*m**2 + 183*m - 93. Let r(o) = 15*h(o) + l(o). Determine n, given that r(n) = 0.\nAnswer: 2\/3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.046? (a) -110 (b) -5 (c) 2\/19 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*w + 5*k, 0*k - 11 = 3*w + 4*k. Let a(f) = -4*f + 1. Calculate the remainder when a(w) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (77\/462)\/(15\/(-126))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1935.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 6. Let w be 14\/p*(0 - 2). Let r be 9 - w - (-2 + 1). Solve 3*q + 23 = 2*i, -i - r*q - 11 = -0*q for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0349 (b) 4 (c) -0.4 (d) -279\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17510966.\nAnswer: 2, 11, 557, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0 - -5) + 0 - (-11 + 12)) + 5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbbb when four letters picked without replacement from bbbbbbbbbbbbbbbgbb?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 178 - 174. Suppose -9*t + 1326 = y*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*f - 16*f - 87*f + 5*f - 36*f - 7*f**2 to the form h*f + s + c*f**2 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 245*r**2. Let t(v) = 14*v + 5. Let o be t(0). Let y(z) = o*z - 3*z + 3*z - 6*z. What is g(y(u))?\nAnswer: 245*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 10*f = 25. Let b(o) = o**3 - 7*o**2 + 5*o + 6. Let j be b(6). Suppose j = 213*t - 215*t + 100. What is the highest common factor of t and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**4\/6 - 11*g. Let y(z) be the first derivative of z**3 - 1. What is y(r(s))?\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1965, -1676, -1377, -1062, -725?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46072 and 4834856?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35744 and 123987.\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = t - 2*x - 0, 4*x = -2*t + 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 + 4\/1)\/2. Let z(n) = -47*n**3 - n**2 - n. Let w = -917 - -1056. What is the remainder when w is divided by z(p)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*x - 22733 - 59331. What are the prime factors of x?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1605 and 27.\nAnswer: 14445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (598\/(-276))\/((-10)\/300*-5)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f**3 - 26*f**2 - 7*f - 5. Let v(s) = -3*s**3 + 17*s**2 + 5*s + 3. Let n(q) = 8*v(q) + 5*z(q). Let g be n(-5). Sort -4, g, 0 in decreasing order.\nAnswer: 0, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163671.2462 less than 0.5?\nAnswer: -163670.7462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**6\/120 - v**5\/20 - v**4\/24 + v**3 - 9*v**2. Let x be d(-3). Calculate the highest common factor of x and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 162*p + 216. Let s(x) = -23*x - 30. Determine -36*s(o) - 5*w(o).\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 709789949?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 - 1 = 25*f. Suppose 3*r = f*g - 104, -4*r + 0*r = g - 7. Solve 5*m - g = -o, 5*o + 5*m = -10 + 25 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + p**2 + 3*p + 1. Suppose -4*a + 8*a = 0. Suppose -w - 5*k = -a*w - 3, -5 = 5*w + 5*k. What is g(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + sqrt(171) + 2))**2 - ((2*sqrt(3648) - sqrt(3648) - sqrt(3648))\/(sqrt(192)*2))**2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(-3 + 3 + 4*f) + (2 + 0 + 0)*(4*f - 3*f - 2*f).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8848b5 (base 13) to base 10\nAnswer: -3209120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5477, 10920, 16287, 21530, 26601, 31452, 36035?\n\"Answer: -8*x**3 + 10*x**2 + 5469*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 1:04 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s - 1 + 4*s**3 + 132*s**2 + 4 - 102*s**2 + 0*s to the form j*s + k*s**2 + v*s**3 + y and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eefv when four letters picked without replacement from {e: 3, b: 1, f: 2, r: 2, q: 1, v: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1, 4, 5, -48 in increasing order.\nAnswer: -48, 0.5, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 855*p**4\/4 - 259*p**3 - 965. Find the third derivative of g(u) wrt u.\nAnswer: 5130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42125 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 11. Suppose -w = c + 3*y - 5*y, -76 = 5*c - y. Let d = c - -25. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14325, 14291, 14199, 14019, 13721, 13275, 12651, 11819?\nAnswer: 10749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wq when two letters picked without replacement from wqsfo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 17*z + 14 = 0. Put -26, -2, z, -1 in increasing order.\nAnswer: -26, -2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(156) - (sqrt(156) - (sqrt(156) - sqrt(156)*-1)*4) - 1*sqrt(156)*5)\/(sqrt(1200) - (sqrt(1200) - sqrt(1200)*1 - sqrt(1200))*1) + -4).\nAnswer: -12 + 9*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhx when four letters picked without replacement from hfxxfhhxfxhhhxx.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, u: 4, x: 5}. What is prob of sequence uxu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(350\/(-45))*(26\/7)\/(609\/(-2842))?\nAnswer: 78\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61 - -65. Let n be (10\/(-15))\/(y\/6). Suppose -6*k + 39 = 63. Sort k, n, 1, 5.\nAnswer: k, n, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 249 and 415?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -9, -0.1, 0.2, -69, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i - 22*i - 2*i + 3*i to q + y*i and give y.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/12*-2 + 5301\/(-62) + 63.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 11*h - 1\/2*h**4 - 2\/3*h**3 - 1\/20*h**5 + 0 + 3\/2*h**2. Determine f(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3851*d + 11572. Determine q(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 696606, 1393214, 2089822, 2786430, 3483038?\nAnswer: 4179646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -270\/11 - -1482\/55. Which is greater: n or 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4401077219?\nAnswer: 7, 11, 43, 149, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/((s*s*s*s**(-2\/37)*s)\/s)*s*s))\/(s**5\/s))**(-40))**(-12\/11) assuming s is positive.\nAnswer: s**(-54240\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*((1 + 4*sqrt(612))**2 - (-4*sqrt(612) + 1)) + -3.\nAnswer: -58755 - 432*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**2 - 421160*t - 22171968200 = 0.\nAnswer: -105290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, l: 2, c: 5, k: 8}. Give prob of picking 2 c.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1111 - 2221110203?\nAnswer: -2221103032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1192175.\nAnswer: 5, 43, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-3)*(-24)\/20. Let r = -281\/5 - -56. What is the closest to m in 4\/9, r, -3\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x. Let o = -2474 - -2476. Let y(p) be the third derivative of 0*p + 0 - 5\/24*p**4 - 11*p**o + 0*p**3. Give y(l(z)).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 = -4*m + 482. Suppose -8*q + 3*q = -m. Solve -5*o = -2*o - 4*h + 15, -5*o = -3*h + q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 129*h. Let q(r) = -31 + 63 - 32 + 2*r. What is w(q(m))?\nAnswer: 258*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 853.999637 - 854. What is v rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1315116 and 0.05.\nAnswer: -0.0815116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1828711 = 62*f - 592838 + 349757. What is the thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42997, 43380, 43763, 44146, 44529, 44912?\nAnswer: 45295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (-2 + 6))\/(-1). Suppose w*x - 5*x - 7 = -5*d, 2*d + x = 1. Suppose -5*f = -4 - d. Which is smaller: 15 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -185\/6, -1.3 in descending order.\nAnswer: -0.3, -1.3, -185\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o - 16. Let d(f) = 2*f**2 + 57*f + 17. Let l(m) = -3*m**2 - 85*m - 25. Let s(i) = 8*d(i) + 5*l(i). Let x be s(-31). Give w(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-7))\/(46\/322)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -34*w**2. Let b(f) be the third derivative of 0*f**4 + 1\/60*f**5 + 0 + 0*f**3 + 0*f - 44*f**2. Determine u(b(r)).\nAnswer: -34*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41 and 740?\nAnswer: 30340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*z**5 + 1965*z**4 - 28*z**2 + 181984*z?\nAnswer: -60*z**3 + 23580*z**2 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0047241 rounded to 5 decimal places?\nAnswer: -0.00472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -178\/3 - -60. Suppose -5*z + 10 = -10*z + 5*n, 37 = -5*z - 4*n. Put z, 0.5, l in descending order.\nAnswer: l, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100012 - 110?\nAnswer: 1022202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38 and 5433.\nAnswer: 206454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 5*z**2 - 5*z. Let q be t(-4). Suppose 3*k = 5*d + 19, k + 5*d - 3 + 10 = 0. Solve -5*p + 15 = q*i, 2*i - k = -p - 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20520\/38)\/12*10\/25?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2421263286 to the power of 1\/2, to the nearest integer?\nAnswer: 49206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 247, 226, 195, 148, 79, -18, -149?\n\"Answer: -y**3 + y**2 - 17*y + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3885862164?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 2 - (-2 + 29 - -8)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6*r + 48 = 5*c, -3*r + 36 = 3*c. Let y(h) = -8*h + 7*h - 3*h + r - 9. Suppose -2 + 6 = -2*u. Let f(p) = p. Give u*f(t) - y(t).\nAnswer: 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.316 in -2\/55, 2, -0.01, 65?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 27*t + 2*t**3 - 30*t + 56*t in the form i + y*t**2 + j*t + x*t**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*i - 1025, -4*p - p + i - 1040 = 0. Let y = 342 - p. What is the hundreds digit of -1 + (y\/(-12))\/(3\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10 - 374\/85)*(-175)\/18. Let f = d + 1969\/36. Let t(x) = 5*x + 1. Let l be t(-3). Do l and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2495524 is divided by 10103?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 64 = -2*c, c = 4*c - 5*t - 97. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23032282?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/135 and -37\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/226 and -53\/1017?\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8570.148 centuries to months.\nAnswer: 10284177.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 0*s - 151174 - 2*s + 151174 - 13*s**2. Let t(l) = 5*l + 0*l - 8*l + 5*l. Calculate x(t(b)).\nAnswer: -52*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 8:27 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z**2 + 5*z. Let r(h) = -7*h**2 + 6*h - 2. Let n(j) = -9*j**2 + 7*j - 3. Let t(o) = -2*n(o) + 3*r(o). What is -4*s(x) + 5*t(x)?\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31250*j**4 - j**2 + 17*j**3 + 31227*j**4 - 18*j**3 - 3 to k*j**3 + i*j + t + o*j**4 + q*j**2 and give o.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/x**(-33))*x\/x**28 assuming x is positive.\nAnswer: x**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 232 + -227. Suppose 4*w = 3*d, -1 = -5*d + d + f*w. Calculate the lowest common multiple of d and ((-11)\/3 - -3)*-9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = d + 3*p - 0, 0 = -3*d + 3*p + 21. Let t be 0 - (-4 - 0) - (d - 0). Let 6*x**3 - 602*x**4 + 2*x**3 + 620*x**4 + 9*x**5 - x - t*x**2 = 0. What is x?\nAnswer: -1, -1\/3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 - 113 = -11*b - 57 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 676, 5, -3, -11998 in decreasing order.\nAnswer: 676, 5, -3, -11998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 12.\nAnswer: 23\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3410\/27 + 47401\/378. Find the common denominator of j and 8\/217.\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-64)\/(-960))\/(17\/((-63750)\/(-20)))?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4 + (-70)\/(-140)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) -81\/2 (c) 1\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -0.18, -1.35.\nAnswer: -10, -1.35, -0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -304*d + 2677. Give b(7).\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46\/13 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340248 is divided by 127?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 10*m**2 - 6*m - 4. Let d be f(-6). Suppose 16*z - 1376 = -27*z. Suppose -z = 4*w - d. Calculate the remainder when w is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58053.9835 + -58094. Let y = -40 - z. Round y to 3 dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, i: 1, e: 4, w: 5, j: 2}. Give prob of picking 1 j and 1 e.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 11:18 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 193\/189150 and 187\/210.\nAnswer: 1324050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 2*f - 10*f = 4*q - 52, -4*q + q + 75*f - 51 = 0 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 8. Let b(t) = 3*t**2 - t**j + 3*t + 2*t**3 + 3*t**2 + 5. Let z be b(-4). Solve -x - 4*x - z = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -21*d**2 - 15*d - 3. Let a(q) = -2*q**2 + 2*q + 3. Let z(r) = -7*r**2 - 12*r - 8. Let c(p) = 2*a(p) + z(p). Determine 11*c(t) - 6*w(t).\nAnswer: 5*t**2 + 2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 25*a + 12. What are the prime factors of z(13)?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.687 - 0.313. Suppose -13 - 4 = 17*m. What is the nearest to m in 2\/15, 3, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*g**2 - 48*g**2 + 199*g**2.\nAnswer: 194*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4595104*k**4 - 5*k**2 + 485429*k wrt k?\nAnswer: -110282496*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.4 and -8?\nAnswer: 11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -265 + 3*n**3 + 3*n**4 + 522 - 258 to the form r*n**3 + q*n**4 + p*n + b*n**2 + x and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -469231*k**4 - k**2 + 569453 wrt k.\nAnswer: -1876924*k**3 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -137*t**5\/10 - 207*t**4\/4 - 2*t**2 + 516*t. What is the second derivative of d(g) wrt g?\nAnswer: -1644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d - 7. Let u be c(6). Let j = -4 + u. Let f be 1*(0 + j + -2). Which is bigger: -3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -10890*g. Let h(n) = 314*n. Calculate y(h(x)).\nAnswer: -3419460*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*u - 2*u + 12303, 0 = -2*g + u - 8197. What is g rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 3\/8, 363268, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6394922 to the power of 1\/3, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 2\/6 - (-9 - (-2128)\/(-24)).\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.71742 centimeters in kilometers?\nAnswer: 0.0005871742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22791 and 3621?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*w - w - 29, 3*m + 5*w = 81. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13840105?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -21. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i**3 + 2*i**2 + 3*i + 1. Let l be o(-2). Let z = l - 21. Suppose 0 = -5*w + 3*w + 308. What is the greatest common divisor of z and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 8*w**3 - 2*w**2 - 4. Let s(r) = r**3 - r**2 - 1. Suppose 4*p + 2 = -0*f + 2*f, 3*p = 3*f. What is f*x(h) + 4*s(h)?\nAnswer: -4*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 + 6*n - 15 + (-n + 2*n - 3*n)*(3 - 2 + 1) - n + 0 + 0.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6933?\nAnswer: 3, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/768 and -73\/48?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170368*x**5 - 170016*x**4 - 1877918*x**3\/11 + 1870174*x**2\/11 + 3870*x\/11 + 2\/11 = 0 for x.\nAnswer: -1, -1\/968, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 10, t: 2}. What is prob of sequence nt?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24381 and 337120.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 107068162 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.48 + -34.93. Let z = n + -0.55. Let x = 18 + z. Which is the second smallest value? (a) -3\/8 (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.5 + 27. Let b = z + -8. What is the nearest to -1 in 2\/7, b, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*a*v**2 - 2*a*v - 14095672*a + 2*v**2 + 103*v + 601265 wrt a?\nAnswer: -19*v**2 - 2*v - 14095672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -3*c**4\/2 + 4*c**3\/3 - 5. What is the third derivative of i(p) wrt p?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.1 - 0.2. Let d = w + -4.9. Which is the second smallest value? (a) 3 (b) -2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-3)*4\/(-8). Suppose 4*s - 5*s + 4 = 0. Suppose -n - s*n + 70 = f. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 - (2 + -6 + 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 675 + 215 = 0. What is the remainder when 67 is divided by (36\/(-8) + 6)*m\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(7))*1 + sqrt(70)\/sqrt(490).\nAnswer: 1 + 8*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**3\/5 - 428*t**2\/5 + 10114*t\/5 - 63544\/5 = 0. Calculate t.\nAnswer: 13, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 879\/(-9) + 2\/3. Let b be ((-1)\/(-19))\/(249\/4731). Put -5, 5, t, b in decreasing order.\nAnswer: 5, b, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 19*o**2 - 134 + 166.\nAnswer: -19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000233989 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*n - 3*f = -150, -3*n + 151 = 2*f. Let i = -48 + n. Calculate the remainder when 2 is divided by (8\/(-20))\/(-2*i\/30).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/15030 and -85\/1647288.\nAnswer: 8236440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**3 + 6*l**2 - 8*l - 8. Let y(m) = -2*m**3 + 6*m**2 - 8*m - 8. Let n(x) = -3*b(x) + 4*y(x). List the prime factors of n(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62329391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20019353 is divided by 953302?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 5\/3, -1\/3, -6 in ascending order.\nAnswer: -6, -1\/3, -0.1, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**5 + 3*a**4*q**2 - 9*a**4 + 311*a**2*q**2 wrt a?\nAnswer: 60*a**2 + 72*a*q**2 - 216*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h + 3*h - 30*h**2 - 3*h + 4 + 26*h**2 + 10*h**2.\nAnswer: 6*h**2 - 5*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 8:56 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 220 + -217. Suppose b*t + 3*h = 582, -10 = 4*h - 18. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 693, 1376, 2059, 2742?\nAnswer: 3425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220675458 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*w = 224*w - 768 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 - 33. Find the third derivative of 12*j**s + 76 - 76 - 6*j**2 wrt j.\nAnswer: 1440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -56021, -56011, -55993, -55967, -55933, -55891, -55841?\n\"Answer: 4*f**2 - 2*f - 56023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -2*c**6\/15 - 39*c**5\/20 + 11*c**4\/2 + c**3\/6 - 139*c. Find the third derivative of t(k) wrt k.\nAnswer: -96*k - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*y - 121*y - 128*y + 379*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 401749 and 2537.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngdg when four letters picked without replacement from {n: 5, z: 4, g: 2, t: 4, d: 1}?\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**2 + 7*y + 13. Calculate z(-11).\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 624\/(-135) - (-8 + (-280)\/(-36))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 949697730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*h**3 + 41*h**3 - 163*h**3 + 42*h**3 + 55*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 263721929 to the power of 1\/2, to the nearest integer?\nAnswer: 16240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - x = 3*d + 141446, -3*d + x - 141422 = 0. Let a = d + 7142. What is a rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4690 + -136. List the prime factors of a.\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 877.36 + -9.36. Let j = u + -798.6. Let w = j - 82. Round w to zero decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14 - ((-130)\/(-35) - (-4)\/14). Suppose j*l - 6*l - 812 = 0. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -257.7+-0.4\nAnswer: -258.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f. Let a be o(6). Are 1\/4 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1\/15 (b) 60 (c) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, r: 3, n: 3}. Give prob of picking 2 y.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*c - 2 + 11, -n = 5*c + 15. Let i(q) = 5*q**2 - 1. Let z be i(-1). Suppose z*j - 480 - 4 = n. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.3 - 3.7. Let b = -115.59 - -109.603. Let o = c - b. Round o to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*h**2 + 21*h**2 + 22*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(288))\/sqrt(12) + 1*sqrt(24)*1)\/((1*sqrt(60)*-5 - sqrt(60))\/sqrt(5))*1.\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*x + 34, -5*l + 5*x + 54 = -6. What is the lowest common multiple of (0 + l - 0) + -1 and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 610*p**2 + 65*p + 223. What are the prime factors of l(-4)?\nAnswer: 3, 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**4*d)\/d**(-3))**(-12\/11) assuming d is positive.\nAnswer: d**(-12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13058 = -17*g + 24053. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v**4 - 15*v + 3. Let a(x) = 4*x**4 + 14*x - 2. Let i(u) = 3*a(u) + 2*f(u). What is the second derivative of i(p) wrt p?\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 4*w**2 - 65*w - 1. Determine z(-5).\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -7*s**2\/2 + 11. Let c(l) be the first derivative of -l**2 + 3. What is k(c(r))?\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 3*u + 6. Suppose 5*k + 7 = -13. Let o be w(k). Solve o*i - 2*j + 12 = j, 2*j - 8 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5\/6 + 4*m**4\/3 + 2*m**3.\nAnswer: m**3*(m + 2)*(m + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -48*j - 663. Let d be b(-23). Let s = 445 - d. Determine z so that z**2 + 1\/4*z**5 + 0 + 0*z + 1\/2*z**s - 7\/4*z**3 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, f: 2, e: 5}. What is prob of picking 3 c?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -8505*t**3 - 22*t**2 + 11. Let y(k) = 2*k**2 - 1. What is n(g) + 11*y(g)?\nAnswer: -8505*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3 - -3) + 0 - -2)*1. Let h(g) be the third derivative of g**d - 2\/3*g**3 + 0 + 0*g - 1\/30*g**5 + 0*g**4. What is the first derivative of h(s) wrt s?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 k when four letters picked without replacement from pkskpspkpssp?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.2239?\nAnswer: -0.6717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/((-242)\/124 + 2). Suppose -3*d + y = 7 + 41, -4*d = -2*y + o. Let j = d - -22. Solve -3*n + 1 = z, n - 5 = 6*n - j*z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 3*w**2 - 2*w - 1. Let d be r(-3). Let k(h) = h**2 - 6*h + 4. Let b be k(d). Let z = 17\/160 - -3\/32. Which is bigger: b or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 - ((-40)\/8)\/(-3 - -4). Suppose n = -3*y - 10 + 25. Let b(q) = -q**2 - 4*q - 3. Let p be b(-4). Sort p, y, -1, 0.5 in descending order.\nAnswer: y, 0.5, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.076 and -1012334729.\nAnswer: -1012334728.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/14983 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**3 - 9*h**2 - 11*h - 8. Let k = 5 - 5. Let q(c) = c**2 + 12. What is the remainder when w(6) is divided by q(k)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-12)*(-44)\/(-231).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 x when four letters picked without replacement from xxzxzxxxxzxzzzzx.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 660245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 15 = 5*o, -2*o - 5*w - 5 = -30. Solve o = 2*r - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*f**2*m*y + 5*d**2*f**2*y**2 - 10143*d*f**2*m*y**2 + d*f**2*m + 2119*d*f**2*y + 3*d*y wrt y.\nAnswer: 10*d**2*f**2 - 20286*d*f**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5927460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.03, -655, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-7 - 7 - -14)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -219 - -531. Let p = t + -653\/2. Let n = p + 15. Are n and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 8:37 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*p**2 - 4*p**2 - 3*p**2)*(2962891 - 2962891 + 8309*p**2) in the form v*p**4 + x*p**3 + u*p**2 + r*p + s and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5 + -3 + sqrt(300))**2 + (6*1*sqrt(3) - ((sqrt(75))**2 + -3)).\nAnswer: 126*sqrt(3) + 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(5))*3 + -4*(sqrt(5) + -1)**2.\nAnswer: -27 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5\/21 - 1764800*o**4\/21 + 588270*o**3\/7 + 7059200*o**2\/21 - 7059208*o\/21 = 0. Calculate o.\nAnswer: -882401, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -68990 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v**5 + 2850580*v**4 + 290206961931*v**3 - 82916507538*v**2 = 0. Calculate v.\nAnswer: -203613, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4732935*w**3 - 8768648*w**2 wrt w.\nAnswer: 28397610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1925171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-2 - -5) - -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -d**8\/1176 - d**7\/735 + d**6\/420 + d**5\/210 - d**2 - 1. Let r(t) be the second derivative of b(t). Factor r(l).\nAnswer: -2*l**2*(l - 1)*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9.72461266 and 118.\nAnswer: 127.72461266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6853 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d = 0. Does 2\/53 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5917 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-8)\/(j*j**(-1\/9)))\/(j**2)**(-27) assuming j is positive.\nAnswer: j**(406\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 192601005*y**5 + 17*y + 654151 wrt y?\nAnswer: 3852020100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31654?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p. Let h be w(4). Let u be 1\/2*-2*(-6 - -6). Determine x, given that 1\/4*x - x**2 + u + 9\/2*x**h - 3\/4*x**3 = 0.\nAnswer: -1\/2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 divided by -73?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t + 1. Let v be h(1). Let p = -3.26 - -1.33. Let n = 2.93 + p. What is the closest to n in v, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.9 take away 0.02?\nAnswer: -53.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -0.0468506?\nAnswer: -0.0937012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28922432.\nAnswer: 2, 7, 11, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.051.\nAnswer: -0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4552 divided by -4.\nAnswer: -1138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4666 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 12 - 54 + 0*j + 18 + 2*j.\nAnswer: 2*j - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (-2)\/(-2)*-4. Let q = -2087 + 2082. Sort q, 0, d, -4 in decreasing order.\nAnswer: d, 0, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010000000111111011 - 1000?\nAnswer: 101010000000111110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.78 - 8.2. Let g = q + 9. Let d = 0.08 + g. Which is the nearest to d? (a) -3 (b) -1\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371921315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*d**2*j**3 + d**2 + 180*d*j + 4*j**2 wrt j.\nAnswer: -84*d**2*j + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -1022, -4, 3\/2, -10?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5291151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -71*b + 130*b - 60*b. Let d(n) = 2*n**2 + 3*n + 6. What is -d(y) - 3*f(y)?\nAnswer: -2*y**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 30555 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(3315\/(-69) - -48)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izyyyzzyyiziyyziziz. Give prob of picking 2 i.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**2\/6 - 465465*c - 2792789\/6 = 0?\nAnswer: -2792789, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61149828?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is -164.55 rounded to the nearest integer?\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -7*n**3 + 4 - n**2 + 0*n**3 - 3. Let t be (-4)\/(-6)*6\/(-4)*1. What is the units digit of l(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -90.437555 + 90.39. Round a to 4 decimal places.\nAnswer: -0.0476","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -33a27 + -6?\nAnswer: -33a2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 8*y + y)*(-317*y + 50*y - 200*y).\nAnswer: 4203*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -305 - -173. Let u be g\/(-48) - 1\/(-4). Suppose 3*p - 2*p - u = 0. Solve -10 = -p*t - 5*r, -t - 1 = -2*r + 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 10 = 3*m. Let x be -227500*(51480\/77)\/(-13). Suppose m*t + 5*t = x. What is t rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -15 - (48 - 63)) + (0 - 21)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**10\/15120 - v**7\/1260 - v**4\/4 + v. Let g(h) be the third derivative of u(h). What is the third derivative of g(l) wrt l?\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 1)*35\/5. Is 214\/4 - (4 - n\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -289*i + 367*i - 80*i + 11. Determine u(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0372 - -936.0372. Let z = s + -936.000000725. What is z rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -7 + 6 + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*f, 20 + 6 = 5*p + f for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 13. Let g be o(-11). Suppose i + q - g + 1 = 0, 3*i = -2*q + 2. Let c = 16 + i. Calculate the greatest common factor of 16 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 4)*(-2*d**3 - 4 + 4)*(-2*d**2 + 11*d**2 - 2*d**2).\nAnswer: 14*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 267*s**4 + 2*s**2 - s**3 - 269*s**4 - s**3 + 3*s**3 - 3 to d*s**3 + u + p*s**4 + h*s + a*s**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 57800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -19.2 (c) 1.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -10 + (-1 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92, -83, -70, -53?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7029.4 and 1.611.\nAnswer: -7027.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (sqrt(13) + sqrt(208) + 2)**2)*-2.\nAnswer: -658 - 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170926535 to the power of 1\/4, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1205725792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuuiiuiuiuiuqqqiu.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -805*(1\/(-2) + 14\/140). Let k = 327 - l. Let u(g) = g - 6*g + 4*g**2 - 3*g**2 - 2. What is u(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(-170)*25\/40?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 6 + 15 = -5*g, 4*g = 5*s - 40 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-30)*15\/24\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 0.05.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m**2 + m. Suppose -1126 = -12*s + 1178. Let r(c) = 194*c - s*c + 0 + 0. Determine r(w(p)).\nAnswer: 12*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 18\/5 of a millimeter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 59*m - 60*m - 13, 4*m + y + 61 = 0 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 540032 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-3 - ((8 - 3) + -9))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 737520*63.\nAnswer: 46463760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 159*k + 11. Is p(1) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 5. Let n be (x\/24)\/((-2)\/(-27)). Let a = n + 24. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13012*b**2 - 192*b**3 + 13012*b**2 - b - 32 wrt b.\nAnswer: -1152*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 22. Let z(m) = m**3 + 10*m**2 - m - 12. Let p be z(-4). Calculate the highest common factor of p and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 29 and -5464617572?\nAnswer: 5464617601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -10. Suppose -t*q + 12 = -0*q. Let j = 4 + -2. Calculate the remainder when q is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + m - 17, -3*o + o - 2*m + 10 = 0. Suppose o = -2*t + 3*g + 3, -3*g - 1 = -t. Is t >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8254?\nAnswer: 2, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -41*o**3 - o**2 - o + 1. Let j(p) = -p**2 + p + 1. Give j(r) + q(r).\nAnswer: -41*r**3 - 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -335597164*j + 551870. Let k(i) = 20068*i - 33. Let h(m) = -50170*k(m) - 3*o(m). Let t(v) = -v. What is t(h(s))?\nAnswer: 20068*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**5 + q**3 - q**2 - 1. Let c(h) = 204*h**5 - h**3 - 176*h**2 + 1. Let y(x) = -c(x) - k(x). Find the third derivative of y(j) wrt j.\nAnswer: -12180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urrubrburrbbrruru. What is prob of picking 1 u and 1 r?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68 by -94587.\nAnswer: 68\/94587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 1:45 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -3, -4\/9, 1.516?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bz when two letters picked without replacement from {t: 1, b: 2, m: 1, z: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 4*q + 3 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*u**2 - 3*u**3 + 117 - 57 - 57.\nAnswer: -3*u**3 - 184*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 (base 15) in base 14?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((4 + (sqrt(76) - -2*sqrt(76)*-1 - sqrt(76)))**2 + 2).\nAnswer: -966 + 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 6. Suppose c*o = -3*o + 24. Let r = -5 + o. Put r, -3, 5 in descending order.\nAnswer: 5, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 13*w**2 + 3*w - 2. Let m be g(1). Suppose 0*i = -i + m. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnla. What is prob of picking 1 l and 2 n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-61944)\/812)\/178)\/((-8)\/(-14)))\/(6\/424)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u**2 + 2*u + 1. Let w(t) = t**2 + 8*t + 4. Let d be w(-8). Let h be 6\/(-12) - (-10)\/d. What is the remainder when m(h) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 25. Let y be a(-7). Suppose -5*f + 43 = y. What is the remainder when 12 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4629 - 4565. What is the remainder when 693 is divided by v?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 908, 1825, 2742?\n\"Answer: 917*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 12 - 24. Let d(b) = -b**2 + 19*b - 14. Let i be d(x). Let f = i + 2. Is 24 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -117769, -235346, -352723, -469900?\n\"Answer: 100*j**2 - 117877*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 8:21 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3853127.\nAnswer: 103, 37409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (1 + -3) - (1 + -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-27 + 90 - 10)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -48028 and 34.\nAnswer: -1632952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o + 98 - 25 - 5 + 34 to the form m*o + s and give s.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 167 or 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**2 - 4*j**2 - 2*j**4 + (-3*j + j + 12*j)*(-4*j**3 + 2*j**3 + j**3).\nAnswer: -12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 200*f + 3402. Let c be n(-17). Let l(b) be the third derivative of -20*b**c - 7\/24*b**4 + 0*b - 1\/60*b**5 - 2\/3*b**3 + 0. Give l(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94184728.\nAnswer: 2, 11, 241, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*n + 133 + 523 = 0. Solve j - 4*y - n = 3, 0 = -9*y - 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 7 - (-2 + 14)) + (14 - 27).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times -4\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1731872 by -4.\nAnswer: -432968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, b: 1, d: 2, z: 4, q: 4}. What is prob of picking 3 z?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2219 and 1722126?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29597*g**2 - 124*g - 51.\nAnswer: 59194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(264)\/(sqrt(18)\/sqrt(3)) - sqrt(44))\/((sqrt(28) + (sqrt(28) - sqrt(28)*-2))\/sqrt(7)))**2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 22 = -0*z. Let d be (-392)\/(-22) - 4\/z. Let o = d + -13. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*z - 4*z - 3*z + (0 - 2 + 4)*(-5696 - 28*z + 5696))*(-2*z**2 + 0 + 0) as s*z**2 + j*z + h + c*z**3 and give c.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -2697\/22684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xee when three letters picked without replacement from ewcxccxwxcwcwecwwex?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -46*b**2 - 303*b + 8. Let r(t) = 25*t**2 + 154*t - 5. Calculate 3*q(h) + 5*r(h).\nAnswer: -13*h**2 - 139*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxuuujauxdlju. What is prob of picking 1 l and 1 u?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 25 = -d, 10 = -0*d - d + 2*r. Suppose d*l - 2*l = 24. Let x be -3 + 18\/(-8)*(7 + -3). Do x and l have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 - 3)*(-6*y**3 - 10*y**3 - 8*y**3) - y**3 - 4*y**3 + 3*y**3 to s*y**2 + o*y + q + z*y**3 and give z.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -221 or -50\/1737?\nAnswer: -221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - -3. Suppose z = 3*y - 111. Let u = y + -40. What is the highest common divisor of 40 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5103 and 7.\nAnswer: -5096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s - 4*s + s - 2)*(3*s + 0*s + 2*s + (3 - 2 + 2)*(-3*s + 2*s + 3*s))*(-5*s**2 - 17*s + 17*s).\nAnswer: -220*s**4 + 110*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -538, -1289, -2212, -3307, -4574, -6013, -7624?\nAnswer: -9407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -98, -5.442, 3?\nAnswer: -5.442","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from {e: 3, z: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111 + 1112002?\nAnswer: 1111231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (19745*z + 42651 - 42651)*(-2 - 2*z**3 + 2) as a*z**3 + c*z**4 + w + x*z + i*z**2 and give c.\nAnswer: -39490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 79.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13534576 to the nearest integer?\nAnswer: 3679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6552, -6583, -6644, -6747, -6904, -7127?\n\"Answer: -2*t**3 - 3*t**2 - 8*t - 6539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -66 + c?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4800.1032 milliseconds?\nAnswer: 0.001333362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -x + 9, 2*t + 0*x - 4*x + 6 = 0. Let m be (792\/30)\/(1\/50). Let w be (m\/(-4))\/(t\/(-50)). What is w rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3012611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17670 - 17652. Let n(z) = -10*z + 75. Calculate n(q).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 514 - 351. What are the prime factors of q?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -396*g**2 + 112*g - 113. Calculate m(1).\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390*a - 171*a - 156*a - 630 = 0 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 72*c**2 - 329*c + 21. Calculate f(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -149*y + 39013. Give t(261).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1182972, -1182958, -1182934, -1182900?\nAnswer: -1182856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22423.\nAnswer: 17, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (-13561)\/(-3) + (-44)\/(-66). Let b = -2627 + g. List the prime factors of b.\nAnswer: 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/5 and -1*27\/7281*-14*(-2)\/(-12)?\nAnswer: 4045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3587428 divided by -18?\nAnswer: -1793714\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37613 - -57060. What are the prime factors of a?\nAnswer: 19447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2528*c**3 - 3306*c**2 wrt c?\nAnswer: 15168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a + 14*a. Suppose -o - 67 + 209 = a. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181 divided by -181.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 62?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.4, -3.2?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-24)\/(-28))\/(1\/21). Suppose d - 30 = 5*k, 355*k - 351*k = d - 25. Sort r, d, -4 in decreasing order.\nAnswer: r, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**5 - 17*v**4 + 29*v**3 + 89*v**2 - 60*v - 36 = 0?\nAnswer: -3, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33780 and 528?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 3*d**6\/20 - d**5\/30 + d**4\/24 - 6*d**2. Let m be v(1). What is the units digit of 2\/m + (-45)\/(-51)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90124.56 kilograms in milligrams?\nAnswer: 90124560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2295*d - 498. Is w(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/4 (b) -2\/9 (c) 0.27 (d) -1.4 (e) 0.3 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 1. Let j be m(3). Let p be j\/44 - 48\/(-22). Solve -2*o + p*q + 13 = 1, 2*q = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1001*d - 55 = -998*d - 4*n, -4*n = 3*d - 49. Let j = 37013\/39 + -949. Which is smaller: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -30\/1147 (b) -0.5 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 975 a factor of 63785408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41328203 to the power of 1\/2, to the nearest integer?\nAnswer: 6429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127887, -127880, -127869, -127854?\nAnswer: -127835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 + 3*f**2 - 5*f**2 + (2*f + 4 - 4)*(21*f - 5*f - 37*f).\nAnswer: -46*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/12)\/((-24)\/(-16))*-72)\/1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 i, 1 j, and 1 q when four letters picked without replacement from {b: 4, q: 5, p: 5, i: 1, j: 1}.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 168581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2. Let b(n) be the third derivative of n**5\/20 - 18*n**2. Determine b(w(l)).\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1\/6 (b) 0.4 (c) -0.07 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, l: 4, x: 1, o: 2}. What is prob of picking 2 o?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 38753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = j - 0*j. Does 35 divide ((-10)\/(-3))\/((-4)\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.9089 - 12. Let o = -0.0165 - k. Let h = o - 0.08. What is h rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(5\/3))*g**3)\/(g\/(g*g**4)*g**6) assuming g is positive.\nAnswer: g**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**5 + 25*c**4 + 97*c**3 - 3325*c**2 - 12996*c = 0. What is c?\nAnswer: -9, -4, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7896185 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(588) - (sqrt(588)*2 + sqrt(588)))\/(sqrt(256)*1).\nAnswer: -7*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 41 = -4*v + 28, 92 = 5*v + 2*l. Let c be (v\/(-27))\/(1\/(-9)). Let d = 12 - 6. Solve -3*n - c = -d*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 458904785?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 139890255 and 90?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-311)\/((-63133)\/(-522))).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -6*z**3 - 2*z**2 - 2*z - 1. Let q be i(-1). Suppose -90 = -189*y + 171*y. Solve y*v + 3*m - 2 = 0, 5*m - 3 = -3*v - q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus 217?\nAnswer: 216.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7435 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 972380.6 weeks to nanoseconds.\nAnswer: 588095786880000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3075611868214 and -3.\nAnswer: 3075611868211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/16 in -521, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z + 2*z + 26*z**2 - z - 7*z - 7*z to u + l*z**2 + y*z and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q = 5*b - 20, 31671*b = 31674*b + q + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 + 0*x**2 - 2*x**2 + (1 + 2*x - 1)*(-x - x + 4*x) + 0*x**2 + 9*x**2 + x**2 + (0*x + 2*x**2 + 0*x)*(2 + 1 - 2).\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 80 + 20 = 0. Suppose 2*y = y + 1. Calculate the least common multiple of (y\/(-3))\/((-7)\/210) and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 984 = 43*l - 48. What is the remainder when 44 is divided by l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 1\/17 (c) -2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 681906639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*s + 5*s + 30. Let l be (38\/4)\/((-3)\/(-66)). Suppose 4*t + 0*t + s*n = 280, -4*n + l = 3*t. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*b + 39, -3*d + 23 + 28 = -5*b. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6247607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 - 2*b**4 + 4*b**4 + (3*b**4 + 9*b**4 - 5*b**4)*(5 + 1 - 2) - 4*b**3 + 3*b**3 - b**3 - b**4.\nAnswer: 28*b**4 - 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 0*x**3 + 4\/5*x**5 - 4*x**2 + 2*x**4 - 4*x + 2. Factor m(k).\nAnswer: 4*(k - 1)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**3 + 9663*c**2\/5 + 13536*c\/5 + 3868\/5 = 0.\nAnswer: -1, -2\/5, 1934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h = 2*w + 10, -2179 = -3*w - 5*h - 2180 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341117 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13 (b) -3\/11 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 10*s**2 + 10*s - 5. Let d be u(9). Let j be (-4)\/d + 10\/2. Suppose j = 10*q - 9*q. Solve 0 = -t - q - 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 bigger than -107469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/20*1165\/1398)\/((-1)\/12).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 111120 to the power of 1\/2, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**7\/315 + 19*b**6\/900 - 3*b**5\/50 + 17*b**4\/180 - 4*b**3\/45 - 4*b**2 + 17. Factor d(w).\nAnswer: -2*(w - 1)**3*(5*w - 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 3\/2*u**3 - 1\/24*u**4 + 0 + 0*u + 6*u**2. Determine q(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4320) + 3*sqrt(4320)*-3)\/((sqrt(270) - sqrt(30))\/sqrt(5) - (sqrt(6) + sqrt(24)\/sqrt(4)*3)).\nAnswer: 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5024 divided by 2838\nAnswer: 2512\/1419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3591, 3592, 3593, 3594?\nAnswer: 3595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 1 + 2 - 35*k + 12 + 25*k**2 - 5*k**3 = 0. Calculate k.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/8)\/((-3)\/(-4)). Let l = 23.98 - 18.98. Sort l, -3\/41, h, -4 in increasing order.\nAnswer: -4, -3\/41, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o*o*o**(-1)\/o)*o\/(o*o*o**30\/o*o) assuming o is positive.\nAnswer: o**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = y, -2*c + 3*y = -7*c + 5. Let j = c - -5. Calculate the remainder when (-20)\/(-1980)*-9 + (-265)\/(-11) is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/7, -5, 2\/5, 2\/13?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 k when two letters picked without replacement from qzzzzkqkzzzrkqkw?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 198*b**2 - 9*b - 21. What are the prime factors of a(-2)?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272*y - 273*y = 5*f - 29, 0 = -5*y + 4*f - 29. Let w(g) = -g - 4. Let n be w(-6). Sort n, 4, y, 1 in increasing order.\nAnswer: y, 1, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*h - 69 = -0*h, 3*n - 68 = -h. Suppose 3*i - n = -0*i. Suppose -5*y + 4 = -31. Does i = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 131 = 43. Let z(x) = x**2 + 4*x - 11. Let k be z(-10). Suppose -k*l + 48*l = -33. What is the greatest common factor of m and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 6*t - 740. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wy when two letters picked without replacement from {w: 1, y: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.2279 rounded to 0 decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 94 in decreasing order.\nAnswer: 94, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 133*j - 3327. What is x(-41)?\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1126 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**3 - 3*t**2 + 5*t + 3. Suppose 0 = 5*n - 2*n. Suppose n*y = y + 4. Is c(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -43 - 420033122?\nAnswer: -420033165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1564 + 1564. Let w(u) be the third derivative of n - 1\/120*u**6 - 22*u**2 + 0*u + 0*u**3 + 1\/10*u**5 - 1\/24*u**4. Determine w(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*n**2 + 112*n**2 - 7749904*n**3.\nAnswer: -7749904*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 3*c. Let f(s) = -18*s**2 - 3. Let x be f(c). Put 2, 1, x in descending order.\nAnswer: 2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 85103?\nAnswer: -13\/85103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110001111111010011 (base 2) to base 14.\nAnswer: 54895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 - -90 - (10 + -1) - 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 14 - -11 - (0 + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i**3\/8 + 21*i**2\/2 - 63*i\/8 + 3\/4 = 0. Calculate i.\nAnswer: 1\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -44580*r + 70079762. Determine h(1572).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by -26\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 9*b + 33. Calculate z(8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 929250558?\nAnswer: 2, 3, 51625031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1514168359 to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -813.14, -5, -2, 62, -3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (4 + (-30)\/5 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.2206 * -2.7.\nAnswer: 5.99562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 182596.0513 - 182588. Round q to one decimal place.\nAnswer: 8.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93393917?\nAnswer: 31, 271, 11117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 424713682195 less than -0.1?\nAnswer: -424713682195.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h - 13 - 1 + 5 + 7. Give n(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 4*w + 21 = 0, 2*n - 6 = 205*w - 209*w for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0036489 to four decimal places.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 229321.28718.\nAnswer: 229323.28718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kgkk when four letters picked without replacement from kkgk?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/11 or -5?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3. Let g(w) = -184*w**2 - 24. Determine -24*d(v) - 3*g(v).\nAnswer: 552*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - u - 45 = 0. Let l(d) = -26 - u + 6*d**2 + 35. Let n = 10 - 11. Determine l(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = -45 + 81. Solve m*x = 8*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 247 (c) -6\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.028212*1\nAnswer: 0.028212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p + 70. Let j be i(-23). Which is the biggest value? (a) j (b) -6\/17 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/11 (b) 1.8 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -143?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/55)\/(33\/(-30)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**24*b**28*b\/((b\/(b*b\/(b**(-2\/13)\/b)*b))\/b*b)*b**(2\/39)\/b)**(-21) assuming b is positive.\nAnswer: b**(-15071\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92, -0.1, -3 in increasing order.\nAnswer: -92, -3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - 131421123?\nAnswer: -131421113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2.53*0.19\nAnswer: 0.4807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2)\/h)**(3\/14))**(-49) assuming h is positive.\nAnswer: h**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -1, -62103, 0 in decreasing order.\nAnswer: 0.04, 0, -1, -62103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l. Let o(y) = -2*y**2 + y - 3. Let i(v) = -v**2 + v + 6. Let b(j) = -i(j) - 2*o(j). What is b(n(d))?\nAnswer: 5*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzzzzzzzeez?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-176)\/(-1440)*9*(9\/(-3))\/(-33)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 10:01 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**6\/120 - 3*p**5\/20 - p**4\/24 + 13*p**3\/6 - p**2. Suppose 12 = -7*t + 10*t - 5*s, s = -2*t + 21. Calculate a(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1 - 4 = -i, -20 = -4*i - 4*f. Suppose 0*m = i*u - 5*m - 35, -4*m = -5*u + 46. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a**3 + 4*a**2 - a - 2. Let s be k(2). Is 17 a factor of s\/(-8)*(-128)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -9*s**2\/7 - 1536*s\/7 - 1020\/7 = 0.\nAnswer: -170, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 148*j**2 - 8 + j + 4*j.\nAnswer: -148*j**2 + 5*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2743538 from -5.43.\nAnswer: -2743543.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (9 + -8 - 13) + 7 + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**5\/o*o)\/(o\/o**(-2\/89)))\/((o\/o**(-14))\/(o\/((o**(-2\/7)\/o)\/o)*o)))**41 assuming o is positive.\nAnswer: o**(-146534\/623)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.3, -461, 61, 5, 0 in increasing order.\nAnswer: -461, 0, 0.3, 1, 5, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -201, -301?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 24 = -1. Suppose 0 = 4*o + 5*l - 2*l + 55, -k*o + 3*l = 35. Let r be (-2)\/10*o\/(-12). What is the biggest value in r, 2, 3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 46. Let f = -44 - p. Find the common denominator of 17\/8 and 478\/(-12) - (-2 + f\/(-3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -160*j + 23*j + 1096. Solve q + 4 = -c, -7*c + 5*c = -3*q + j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/3*(-3)\/2. Let p = 0.53 - 0.03. Sort p, y, 4\/7 in increasing order.\nAnswer: y, p, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0*d = 155. Let h = -22 + d. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1676591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 33. Let a be (m\/4 + -2)*8. Let f = -4 + a. Which is greater: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1012610 is divided by 2644?\nAnswer: 2602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2\/15 + 6800*v\/3 + 33994\/5 = 0. Calculate v.\nAnswer: -16997, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-27) - (-1 + 3\/(-9)). Solve b*o = 8*o - 18 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + f = 0, 562*f + 6 = 3*w + 563*f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14243114 (base 5) in base 10?\nAnswer: 149784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/(-2)*(-35)\/10 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 2*p + 25, 5*h + 75 = -19997*p + 20002*p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + 282*y - 288*y - 4, 2*d + 4*y = 8 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -2147145.\nAnswer: -2\/2147145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 493000 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 10 - 6)*(0*t + t - 2*t)*(3 - 2 - 3) in the form j + g*t and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1099845 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/4 of a microgram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 9:33 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 12*k. Let o be b(12). Suppose -9*i + o*i = -171. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + 72 = 3*j. Let m(h) be the second derivative of -h**4\/12 - 11*h**3\/6 - 6*h**2 + 53*h. What is m(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/4)\/((-7)\/63*-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w**3 - 5*w**2 + 8*w + 8. Suppose 40 = -0*t + 8*t. Suppose r = -5*r + 48. Let s(y) = 3*y**3 + 3*y**2 - 5*y - 5. Determine r*s(k) + t*b(k).\nAnswer: -k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - 35.7. Let w = -4 - -2. What is the third biggest value in x, -0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1718 = -16*j - 1558 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*w**2 - 3*w**2 + 3*w - 2*w**2 - w**4 + w**2 + 5 - 3 to c*w**4 + o*w**3 + q + s*w**2 + x*w and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28016 and 1265208?\nAnswer: 260632848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18873162*i + 12630514 wrt i.\nAnswer: -18873162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -481*n**3\/3 - n**2 + 703*n - 694. What is the second derivative of k(w) wrt w?\nAnswer: -962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 169 times -2\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 76 (b) 25 (c) -249\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2\/8 + 7*q + 55\/8 = 0. Calculate q.\nAnswer: -55, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/95? (a) -9 (b) 0.4 (c) -1 (d) 0.2 (e) -0.58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*w = 5, -2*i = 4*w + 3 - 5. Suppose -i*t + 1290 = -1391. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/2573532 and -137\/1715688.\nAnswer: 5147064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 813907126?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*(m*m**(2\/13))\/m)\/(m*m*(m\/m**(-1\/9))\/m*m))\/(m*m**(1\/6))**24)**(-3\/23) assuming m is positive.\nAnswer: m**(3505\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3515 is divided by 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013986 rounded to four dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5917 and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/((-4)\/12)*(-17440)\/(-545).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/(-2))\/(3\/36). Suppose -20*t + 13*t + 455 = 0. Let r be (-76)\/(-13) - (-10)\/t. Calculate the greatest common factor of i and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 82392 and 904.\nAnswer: 9310296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -80346, -160671, -240996, -321321, -401646, -481971?\n\"Answer: -80325*r - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -167601 divided by 1041?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 512842 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3641283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2739, -5495, -8273, -11073, -13895, -16739?\n\"Answer: -11*o**2 - 2723*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o**3 + 675867820*o**2 + 34735*o - 1378?\nAnswer: -12*o + 1351735640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 q, and 1 m when four letters picked without replacement from mmmiimqmq.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1706503?\nAnswer: 139, 12277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1101.6211 to the nearest 10.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y**3\/3 - 3*y**2\/2 + 11. Let t be b(3). Suppose -4*f - 100 = 4*j - 480, t = -4*j - 8. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46 in 3\/2, 4, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74004 less than 74003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-12))\/(1\/6*-2). Suppose -2*f - 37 = a - 2*a, -5*a = -4*f - 65. Let j be (f\/18)\/((-12)\/9). Which is bigger: b or j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22\/57 + 85\/171. Let k(o) be the second derivative of -3*o - i*o**3 + 0 + 1\/36*o**4 + 1\/6*o**2. Factor k(l).\nAnswer: (l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3*z + 120, -2*z - 97 = -4*x - 3. Let w = 25 - x. Suppose y - 63 = -5*u, -u + 178 = 2*y - w*u. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 137990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 237 + -142. Suppose 5*v - 5*i - j = 0, v - 34 = 6*i - 2*i. Calculate the greatest common divisor of 126 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 4*c**2 - 17*c + 28. Calculate s(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -2*f**7\/35 - f**6\/30 - 25*f**5\/6 + 116*f**2. What is the third derivative of u(q) wrt q?\nAnswer: -288*q - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m - 5*m + 0*m - 4*m.\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54.416 - -54.7. Let o = i + 3.716. Which is the third smallest value? (a) o (b) -2 (c) 3 (d) -0.008\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u**2\/5 + 211532*u - 705112\/5 = 0. Calculate u.\nAnswer: -88139, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**2 - 4*r**2 + 2*r**2. Let a(p) = 29*p - 40. Let u(z) = -27*z + 30. Let f(t) = -3*a(t) - 4*u(t). What is f(b(w))?\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26366.1 times 0.1?\nAnswer: 2636.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2487)\/(-4))\/((-9)\/(-36)). Suppose 5*d - 4*s - b = 0, 5*s - 2505 = 2*d - 7*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = 3*o + 6*o. Let t(j) = 4*j + 47. What is t(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 35.5 and 2.\nAnswer: 37.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -92*n**2 - 379*n + 182*n + 187*n + (n**2 + 0 + 0)*(-1 - 2 + 5) as z*n**2 + j + i*n and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30102 and 20.\nAnswer: 301020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/10 + (0 - (-42)\/4). Let k(x) = 6*x - 35. What is the tens digit of k(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0*g + 0*g)*((5*g - 5*g - 3*g)*(-3 + 3 - 1) - g - g + 3*g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17820277.9 - -17820128.899941. Let o = s - -149. What is o rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 310 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20480 and 1670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v. Let c be 3*291\/12 + 9\/36. Suppose 4*x - 3*l = l + 300, l = -2. Let f(a) = -a - x + c. Determine f(k(h)).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*l + 17, 3*u + 2 = -2*u + l. Let f be (u - (-3 + 7))\/(-1). Suppose -10 = 5*b, -f*m - 9 = b + 8. Let j(z) = -2*z**2 - 3*z + 4. Determine j(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 415 + -415.3. Let m = -0.3 + 0.6. Put 2\/7, d, m, 4 in ascending order.\nAnswer: d, 2\/7, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a tonne in kilograms?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 3*t**2 - 44*t - 25. Calculate j(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1024899*z - 1353980*z - 3193839*z.\nAnswer: -3522920*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 17 = 5*v - 16, -1 = -v. Which is the nearest to u? (a) 2\/13 (b) 1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5*5*(-5 + (sqrt(2057) - (sqrt(2057) - (sqrt(2057) + 2 + sqrt(2057)))) - sqrt(2057)) + -5 + 0)**2.\nAnswer: -38500*sqrt(17) + 1290529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 0*w**3 + 0 + 49\/8*w**4 + 0*w**6 - 2*w**2 + 0*w**5 + 61\/70*w**7 - 39*w. What is the second derivative of y(i) wrt i?\nAnswer: 2196*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 143153485.\nAnswer: 143153487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 0*i - 4*i = -28, 3*p = 3*i. Let f(w) = -6 + p + 0 + 2*w. Calculate f(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 59 + 461*m - 62 + 101.\nAnswer: 461*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a3 - 2?\nAnswer: 2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-108) + (15\/24)\/(5\/2). Factor -8\/9*z + 8\/9*z**3 + 2\/9 - m*z**2.\nAnswer: 2*(z - 1)*(z + 1)*(4*z - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132 divided by -11195\nAnswer: 132\/11195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -347.3 + 350.237. Let o = k - -0.063. Is -0.4 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(-2))\/((44770\/(-20720) + 16\/7)\/1)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*d + 19 = 0, 0 = 4*f - 2*f + 3*d - 3. Let p be (27\/3)\/((f - 3) + 4). Suppose -3 = -3*y + 4*x - 2*x, 1 = 5*y - 2*x. Is y smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-5)*u*(u**(-7)\/u*u)\/u*u*u**7\/u*u**(1\/17)\/u assuming u is positive.\nAnswer: u**(-84\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -40*y + 75*y - 34*y + y**2 + 1. Let t(d) = -5*d - 5. Calculate 5*j(w) + t(w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2538\/47)\/((-570)\/(-1520)*(-16)\/(-10))?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/7876542 and 65\/4?\nAnswer: 15753084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -452 divided by 113\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13287 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -894 + 897. Let v(g) = 7*g + 3. Let o(u) = 7*u + 2. Let b(t) = -5*o(t) + 4*v(t). Give b(h).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 108\/352 - (-2 + 170\/80). Suppose -3*x + 4*x = 4*f + 6, 4*f + 4 = 0. Let -6\/11*w**x + 0 + 4\/11*w**3 + o*w = 0. Calculate w.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 557661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001154 rounded to 5 decimal places?\nAnswer: 0.00115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0 = 1. Let k be (0 - x)*-1*-171. What is the greatest common divisor of k and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2643624 (base 7) to base 14\nAnswer: 906bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z**3 + 484*z**2 - 4806*z - 1656 = 0. Calculate z.\nAnswer: -1\/3, 12, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*k**2 + 62*k**2 + 59*k**2 - 689*k - 5*k**3 wrt k.\nAnswer: -30*k + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 9*i**2 + i - 105. Let h be f(10). Let -10\/3*a**4 + 8\/3*a**h - 2*a**3 + 10\/3*a**2 + 0 - 2\/3*a = 0. Calculate a.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15850?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -7561.06?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(-2\/7)))**(-2\/55))**43*(g**(-1))**(-19)\/((g**(-1)*g)\/g*g*g\/g**(2\/3)*g) assuming g is positive.\nAnswer: g**(20921\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**2 + 3*y + 3. Let x(c) = -35*c**2 - 20*c - 20. Let l(v) = -20*h(v) - 3*x(v). Let j(k) = 2*k. Calculate l(j(t)).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210 + -101111210121102?\nAnswer: -101111210122012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -538, -540, -542, -544?\n\"Answer: -2*i - 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202 divided by -155?\nAnswer: -1202\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*w - 13*w + 4*w**3 - 1 + 21*w + 2*w**4 - 2*w**3 - 5*w**3 to the form f*w**4 + o + c*w + k*w**3 + m*w**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1828 and -1193?\nAnswer: 2180804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -62 or -64?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2854 divide 12563308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-30) - 234\/(-270). Let s = 19 - 0. Suppose 4*r = -r + 5*y + 35, -r + s = 2*y. What is the highest common divisor of r and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, f: 1, e: 3}. Give prob of sequence ye.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -823151280 divided by 96614.\nAnswer: -8520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -330760 to the nearest ten thousand.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + -25 + (-46 - -63) - 16.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3058 - -88a?\nAnswer: 3937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 5 - 1\/3*w**3 + 1\/2*w**2 - w. Let b = 5 + -3. What is z(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2) - ((-3)\/12 - 0). Let w = 0.2 - 40.2. Let f = -195 + 979\/5. Which is the second biggest value? (a) w (b) f (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - 7. Let u = 26.78 + j. Let d = -0.21999915 - u. What is d rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a factor of 149191564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 142*f**3*r**4 - 41072*f**3*r**2 - 2*f**3 - 2*r**4 + 4204*r**3 wrt r?\nAnswer: 3408*f**3*r - 48*r + 25224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.03 (b) 0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -299 + 2395\/8. Let q = 0.113 + -0.013. Sort q, 0.4, c.\nAnswer: q, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 594857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**3 - b**3 + 2*b**3 + (-2*b - 2*b + b)*(4 - 2*b - 4)*(4*b - 4*b + 2*b).\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -10*y**3 - 18*y**2 + 82*y + 477. Determine o(-10).\nAnswer: 7857","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16114742.\nAnswer: 2, 7, 17, 67709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351311630?\nAnswer: 2, 5, 17, 2066539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -726 + 1038. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 10:34 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5894 and 16?\nAnswer: 47152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(119)*-3)\/(-2*sqrt(847) + sqrt(847)).\nAnswer: 6*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -940\/83 - 2\/249. Calculate the common denominator of p and 2717\/(-4485) - 1\/(-5).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((128\/(-20))\/8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-8)*0\/((-5)\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42010 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*r = 159, -12 = 12*r - 8*r. Is 24 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 291 = -4*o + 277, -11 = o - 5*d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1074)\/3 + -2 + 965\/(-193). Which is smaller: -375 or n?\nAnswer: -375","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 245.26 * 1\nAnswer: 245.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*u**3 + 164*u**2 - 314*u**2 + 150*u**2 + 63*u**3 - 30*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -950 + 2592. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-143)\/66 + (4920\/(-45))\/(-41)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -332*k + 79*k - 102*k - 59*k - 344*k in the form x + o*k and give o.\nAnswer: -758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + r = -4, -4*q = 5*r - 9 + 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 4:47 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*g = 7, -2*l + l - 4*g = -21. Let q(s) = -s**3 + 6*s**2 - 5*s. Let x be q(l). Solve x = 3*h + 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t + 0 + 1\/2*t**3 - 1\/4*t**4 + 0*t**2. Factor l(n).\nAnswer: -3*n*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ryr when three letters picked without replacement from {x: 8, y: 1, r: 4}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 2)*(1 + 4 - 6) - 2 - 4 + 3 - 7 - 71 - 43)*(4*p - 5 + 5).\nAnswer: -500*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60 + 52 + (1 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a - 12. Let m(b) = -6*b + 135. Let v(r) = 5*r - 108. Let i(d) = 4*m(d) + 5*v(d). Calculate 3*i(u) + s(u).\nAnswer: -u - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 4*m + m)*((m + 0*m - 3*m)*(1 - 1 + 1) + 6*m - 4*m - 6*m).\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -12*a - 95. What is l(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**5\/2 + 138789*i**4 - 19262108941*i**3\/2 - 19262525310*i**2 - 9631332050*i = 0.\nAnswer: -1, 0, 138790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 86.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.56504401 minus -32?\nAnswer: 32.56504401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1377463 smaller than 173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -2*m - 16, 5*m + 50*d + 36 = 57*d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 3*p - 4*x = -18, -5*p - 230739 = 13*x - 230822 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**5 + 3*p**4 - 21*p**3 - 3*p**2 + 18*p = 0.\nAnswer: -3, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/36)\/((-1)\/(-4)). Let p = 0.02 - -0.04. Let n = -1.94 - p. Does i = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0257553313674 and -0.5.\nAnswer: -0.4742446686326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10212\/999 - 2\/9. Solve 22*q - g = 12*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 9 = 5*t, 2 = -f - 4*t - 0. Suppose -f*n + 0*w + 2*w = -8, w + 4 = -4*n. Suppose -4*a + 55 - 19 = n. What is the highest common factor of a and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1781, 1787, 1803, 1835, 1889, 1971, 2087, 2243?\n\"Answer: h**3 - h**2 + 2*h + 1779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/101 or 2\/11?\nAnswer: -8\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**5\/20 - s**4\/2 + s**3\/2 + 5*s**2\/2 - 5*s. Let f be p(4). Let k = f + 50. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -9 + (9 - 14)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 1:31 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -899*b + 2*m = -894*b + 18, -m + 2 = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 71082.95 weeks in milliseconds?\nAnswer: 42990968160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**8\/168 - 2*i**7\/105 + i**5\/15 - i**4\/12 - 9*i**2. Factor a(c).\nAnswer: 2*c*(c - 1)**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -7*w**3 - w**2 + 4*w + 5. Let o(u) = 6*u**3 - 3*u - 4. What is 4*f(t) + 5*o(t)?\nAnswer: 2*t**3 - 4*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hggg when four letters picked without replacement from hhggghhghhhggggghggh?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2830 divided by 5?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**5*k**2 - 28*f**2*k**2 + 2*f*k**2 - 20*k**2 - 2 wrt f?\nAnswer: -20*f**3*k**2 - 56*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 208340242.3 to the nearest 10000.\nAnswer: 208340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 2:17 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 2 (b) 1 (c) 2\/11 (d) -14 (e) -8 (f) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1106 + -3317\/3. Let s(f) be the third derivative of 0 - a*f**5 - 5\/3*f**3 + 8*f**2 + 0*f + 25\/24*f**4 + 1\/24*f**6. Factor s(b).\nAnswer: 5*(b - 2)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 20 = u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 173*v + 7. Let p be t(1). Calculate the greatest common factor of p and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9 + (105968\/(-256))\/(-37) and 65\/162.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 w when two letters picked without replacement from dawdwdwwdvdvrwwdddd.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 + 7*a + 7. Suppose -17*b - 13 - 72 = 0. What is j(b)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -210304 by -6572.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -8 - (-2 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -10. Suppose 3*m = 2*m + g. Solve -4*q + m = -5*i - 0, 2*i - 2 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, h: 1, p: 3, m: 2}. Give prob of sequence pqmp.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, a: 1, m: 1, k: 1, d: 1}. What is prob of picking 1 c, 1 d, and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -7 (c) -2\/5 (d) 1\/2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w = 14*w + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11326.833 months in years?\nAnswer: 943.90275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401 is divided by 132.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a micrometer in nanometers?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2102 (base 7) to base 3\nAnswer: 1000022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 323 + -253. What is the greatest common factor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-29))\/((-24)\/348). Let p(m) = 3*m**2 - 2*m - 1. Let h(d) = -5*d**2 + 3*d + 2. Let u(b) = -4*h(b) - 7*p(b). Give u(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**9\/84 - 15*q**8\/112 - 166*q**5\/15 + q**2 + 101. Find the third derivative of r(b) wrt b.\nAnswer: -720*b**3 - 2700*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 831054, 831057, 831062, 831069, 831078, 831089?\nAnswer: 831102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9898 + -9896. Do 0.589 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169472?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*d**2\/4 + 274000445*d\/4 + 30444495\/2.\nAnswer: -5*(d - 6088899)*(9*d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 6*i**3 + 4*i**2 - 5*i + 7. Let t(a) = -a**3 + 2*a - 1. Let f(g) = -p(g) - 5*t(g). Factor f(r).\nAnswer: -(r + 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*l - 129*l = -136*l. Factor -3\/2*o**3 + o**2 + l + 0*o + 1\/2*o**4.\nAnswer: o**2*(o - 2)*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*y - 80*y - 4 + 3 + 4 + 30*y.\nAnswer: -125*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5)\/10*-4)\/2)\/((-302)\/23858).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6467.8, -6\/13, -8, 3?\nAnswer: 6467.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/10 and (10\/18)\/((-10)\/125)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19532 and 355688.\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-40))\/(2\/12)*2\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*r - 32 = 0, 9 = 3*a - a - r. Calculate the remainder when 18 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*sqrt(81))\/(sqrt(21)\/(sqrt(28)\/sqrt(4)*-2)))**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*z**5 - 6*z**3 + 4*z**3 - 6*z**5)*((1 - 4 + 1)*(8 - 4 + 3)*(-8 - 8 + 14) - 7 - 3 + 5).\nAnswer: 115*z**5 - 46*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -21 (c) 0.05 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*z**3 - 78934298*z**2 + 413183360*z wrt z.\nAnswer: -18*z - 157868596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 0.3 (c) 1\/2 (d) 9 (e) -5\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4.392 (b) 0.18 (c) 1\/91 (d) 3 (e) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2. Let i(p) be the third derivative of p**5\/20 - 794*p**2. What is 30*f(y) - 5*i(y)?\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -68429\/3, 0, 51?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 1600.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 760824315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.02027 - 0.02027. Let w = 1.008 - 0.008. Let n = 5.3 + -0.3. Which is the closest to w? (a) n (b) k (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 140326762 + -140326765.99999921. Let f = w - -4. Round f to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8402055 times -0.2\nAnswer: -0.1680411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 1. Let f(b) = -3*b**3 + 2*b + 3. Suppose 2*v = 2*o, -5*v + 2*o + 5 = 2. Determine v*f(t) - 2*i(t).\nAnswer: -3*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4232.99995314 - 4233. What is w rounded to 6 decimal places?\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -3 - (-10 + 15)) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 8*y - 3. Let n be 4\/(-14) + (-40)\/7. Let l(k) = 15*k - 5. Calculate n*l(s) + 11*g(s).\nAnswer: -2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 216955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, a: 6, j: 4, v: 4}. Give prob of picking 1 a and 1 e.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*o**3 - 130*o**2 + 775*o - 210.\nAnswer: -5*(o - 3)*(o + 7)*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52152 and 2214.\nAnswer: 469368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u. Suppose -3*n + 4 = -8. Determine i(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3)*(5*a - 6*a - 2*a**3 - 6*a**2 + 4*a**3).\nAnswer: 2*a**3 - 6*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*b**5*h - 2*b**4*h + 510*b*h wrt b.\nAnswer: 180*b**3*h - 24*b**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 33102?\nAnswer: 33055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 228910839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -11*v**2 + 16*v - 4. Let g(f) = -5*f**2 + 8*f - 2. Determine 3*c(j) - 5*g(j).\nAnswer: -8*j**2 + 8*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/1260)\/(15\/(-24)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l. Let o(j) be the first derivative of 6*j**2 - 7*j + 2. Let k(d) = 2*o(d) + 10*y(d). Is k(5) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005348 rounded to four decimal places?\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -196 + 183. Let q(m) = m**2 + 16*m + 62. Let h be q(j). Solve 5*y = 2*v + 9, -4*v = 2*y - h + 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19811238 and 8?\nAnswer: 79244952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 5:41 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9\/34 + -69\/68. Which is the closest to 14? (a) r (b) 4 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10593415?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3060533561.\nAnswer: 3060533561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(5500) + (sqrt(5500) - sqrt(5500)*-2*-5 - sqrt(5500)) + sqrt(5500)))\/(-3*sqrt(20)\/(sqrt(12)\/(2*sqrt(3)) - sqrt(4))).\nAnswer: -200*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m + 10. Let a be k(7). Sort a, 4, -3 in ascending order.\nAnswer: a, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -36, 33, 0.29?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -2.6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 11. Let o be v(8). Find the third derivative of 2*k**o - 2*k**2 + 4*k**3 - 12*k**3 wrt k.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -365.262 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263624.\nAnswer: 2, 31, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 58391543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h - 136 = -12*h. Suppose u - 71 - 42 = 5*j, j = 3*u - 17. Let w = j - h. What is the greatest common factor of 33 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.4, 3, 6 in descending order.\nAnswer: 6, 3, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a decade in years?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01300525767 - -404.36858734233. Let i = r - 409.6816. Let a = 5.3 + i. What is a rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.057 and -0.119259139.\nAnswer: -0.062259139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a - 5. Let t be x(4). Suppose -t*d + 8*d = 90. What is the least common multiple of 6\/((-3)\/27 + (-148)\/(-360)) and d?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534801 is divided by 7711.\nAnswer: 2742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41963471 - 8.05206?\nAnswer: -8.47169471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((60\/(-16))\/5). Differentiate i*m**4 - 3 - 12*m**4 - 2 wrt m.\nAnswer: -32*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - 0) + (75 - (3 - 0)). What is the highest common divisor of 23 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3483755 divided by -3265\nAnswer: 1067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 1, 0, -3, -2.\nAnswer: -13, -3, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.65 - 3.25. What is the nearest to 1\/2 in 0, b, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50.2 - -10.8. Let l = 57 - j. Is -2\/23 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.81 + 18.7. What is m rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**3 - 47*y**2 + 40*y - 59. Calculate n(11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**2\/2 - 10*b + 197. What is r(4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shss when four letters picked without replacement from {s: 7, h: 2}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1797\/18233 (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1, 0, 1965, -1, -4 in descending order.\nAnswer: 1965, 1, 0, -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -4\/9, 2\/9, -19.3 in decreasing order.\nAnswer: 24, 2\/9, -4\/9, -19.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, r: 7}. Give prob of picking 1 n and 2 r.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1456776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**5\/20 - d**2. Let w(t) = 4*t**2 + t - 1. Let n be w(1). Suppose 10 + 5 = -3*x + 4*v, 17 = -5*x + n*v. Give u(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 600315*f**2 - 65650*f + 1 wrt f?\nAnswer: 1200630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/304 and 131\/21756?\nAnswer: 1653456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 12:44 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 37. Solve u*a + 18 = 3*w, a = -5*w + 3*w - 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p = 8. Suppose 4*c - 3*d = -0*d - 27, -p*c + 14 = 4*d. Let l(o) = -4*o + 18. Let f be l(4). Sort -2, c, f in decreasing order.\nAnswer: f, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9459420, 18918847, 28378274?\n\"Answer: 9459427*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -13 - 5. Let x(f) = 5*f - 9. Let p be x(h). Let i be (228 - -2) + 0 + 1. Calculate the highest common divisor of i and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**3\/3 - 27*d**2\/2 - 153*d. Let s be o(-13). Sort -2, -5, 4, s.\nAnswer: -5, -2, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**5 - 2*k**5 + 0*k**5 + (2*k**4 - 4 + 4)*(0*k + 2*k - k) + 0*k**2 + 0*k**2 + k**5.\nAnswer: -k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -6. What is the least common multiple of t and (12\/(-8) - -2)*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, c: 1, d: 1, k: 1, e: 5, w: 1}. Give prob of picking 4 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 24 = -2*y, 2*o - 4 = -0*o - 3*y. Let a be -4*(1 - (-3)\/18*-15). Put -1, a, o in descending order.\nAnswer: a, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 498132130 by -986.\nAnswer: -505205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 + ((-2 - 2) + 4 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 229.41717 rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -156, -144, -118, -72, 0?\n\"Answer: n**3 + n**2 + 2*n - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0*q + 1864 = -4*q, 3*k - 1402 = 5*q. Does 54 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*n + 44*n + 21*n - 114*n + 22*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 != -131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 610026*q**4 + q**3 - 3*q**2 - 7*q - 2339?\nAnswer: 14640624*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39? (a) 1\/5 (b) 4 (c) -1\/5 (d) -8 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l**2 - 22. Let v(d) = d**2. Calculate v(i(x)).\nAnswer: 25*x**4 + 220*x**2 + 484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153594089 is divided by 5006.\nAnswer: 5003","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 6 + 1)\/1. Let o be (-1)\/((-60)\/(-32) - 2). Let f = o - r. Solve 7 = f*b + 19 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 249709586?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 6. Let y(z) = 1. Let f(i) = b(i) + 6*y(i). Let g(n) = 0*n + 2*n - n. What is f(g(m))?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 22 = d - 2*d, 0 = -3*d + 6. Let f(u) = u + 2. What are the prime factors of f(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 + y**2 - 2*y**2 - y**2 - y**2 + 4*y**2 + (-2*y + 0*y + 0*y)*(0 + 0 + y) + 3*y**2 - 2*y**2 - 2*y**2 + (3 - 3 + y)*(855*y - 399*y + 648*y).\nAnswer: 1102*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 2272306?\nAnswer: 1\/2272306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -51, -166, -389, -756, -1303, -2066, -3081?\nAnswer: -4384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -911903*k. Let u(r) = -2*r**2. Give u(g(x)).\nAnswer: -1663134162818*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 20*q - 7. What is the tens digit of o(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 99 - -2?\nAnswer: 9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = t + 6. Suppose 0 = -2*a - h + 5, -5*h + 29 = -t*a + 4. Suppose -4*r + 24 + 116 = a. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -8*k + 6. Suppose 0 = 3*i + i - 12. Suppose -i*c + 9 = 3*h, -24 = 4*h - 0*c - 5*c. Let v(d) = d - 1. Calculate h*l(p) - 6*v(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 11:29 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -31, 2187, 4405, 6623?\n\"Answer: 2218*y - 2249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 10:20 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 3392000?\nAnswer: 3392000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 3*u - 39, 285*n - 283*n + 2*u = -12. Factor 1\/2*r - 5\/2 - 1\/2*r**n + 5\/2*r**2.\nAnswer: -(r - 5)*(r - 1)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dsdddmdddsddssdsdd. Give prob of picking 3 s.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2308*j*k**3 + 370*j*k - 564*j + 797 wrt k.\nAnswer: -6924*j*k**2 + 370*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/(-40))\/(1\/(-5)). Suppose h - p*i = 7, -3*h + 1 + 0 = 4*i. Suppose -h*t + t = -14. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20448?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -13*y - 23 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*t + 151 + 91 = 14 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -9990.\nAnswer: 4995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*v - 37, 2*v + 5*l + 18 = -7. Let k = -3 - -3. Suppose k = 4*u + u + 10. Sort -4, v, u in ascending order.\nAnswer: v, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4671 - 305*y + y**3 - 4071 - 29*y**2 + 61*y**2.\nAnswer: (y - 5)*(y - 3)*(y + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*r = 32333 - 33552 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 23*j**2 - j - 4. Let v(q) = -45*q**2 + 2*q + 8. What is 5*b(z) + 3*v(z)?\nAnswer: -20*z**2 + z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -129 < -264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n**(-3\/8)*n**(3\/38) assuming n is positive.\nAnswer: n**(259\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19352.783 - -19353. Is -0.11 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28*((-15)\/(-105))\/((-2)\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 41. Suppose -3*m + 17 + 0 = 5*f, 4*m = 3*f + x. Solve m = -d - 0*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8695542677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 318*l**3*v**3 + 6*l**3*v**2 + 8007*l**3*v wrt v?\nAnswer: 1908*l**3*v + 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1340 is divided by 1331?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -144139, -0.1, -0.3, -1\/2 in descending order.\nAnswer: 8, -0.1, -0.3, -1\/2, -144139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, r: 13}. Give prob of picking 2 r.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 822481304*f**2 + 623579355*f.\nAnswer: 1644962608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 11*u**2 + 9*u + 4. What is x(10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -3*r + 52. Let w(m) = 6*m + 12. What is w(r)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-16)\/(-8))\/((-18)\/(-15))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**6\/1980 + 2*f**5\/165 - 4*f**4\/33 + f**3\/3 + 3*f. Let c(i) be the second derivative of a(i). Factor c(u).\nAnswer: -2*(u - 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/(-14) - (13878630\/(-238) + 31)?\nAnswer: 2, 7, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - 1, 4*n + 11 = -3*o + 7 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 797 + -796. Let c(f) = 17*f + 3. Let s(w) = -6*w - 1. Let t(j) = l*c(j) + 3*s(j). Let y(v) = 18*v**2. What is t(y(r))?\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b16 (base 12) in base 14?\nAnswer: -4510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921479?\nAnswer: 13, 73, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15754 + -15760.4388. Let m = -6.4 - v. Round m to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500)*-2 - sqrt(1500))\/(sqrt(192) + -2*sqrt(192) + sqrt(192) + sqrt(192)).\nAnswer: -15*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -233276 or -0.0927?\nAnswer: -0.0927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 93187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2546560 and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -56*g + 169. Let c be w(2). Suppose 3*v - 125 = -5*x, -3*v = 6*x - 2*x - 130. Let d = c - v. Let o(u) = u - 3. Calculate o(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 15*m - 44. Let f = 109 + -105. Let r be n(f). Find the third derivative of 1 - 1 + 18*s**2 + r*s**2 - 13*s**3 wrt s.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43833282.4 to the nearest one million.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/16810 and -67\/25010?\nAnswer: 1025410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 1057*g**2 - 497*g**2 - 535*g**2. Let z(c) = -5*c + 3*c + c. Determine z(x(p)).\nAnswer: -25*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 50, 49, 48, 47, 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1293 + 1930. What is the highest common divisor of m and 819?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64 - 64 + 17*y)*(-1 + 2 - 3)*(3 + 9 - 4)*(-2*y + 2*y - 2*y).\nAnswer: 544*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/10 + 43*72\/30960.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/(sqrt(33)\/sqrt(3)) + 3*sqrt(30)*1)\/(-2*sqrt(360)*-6).\nAnswer: sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 18*u**2 - 25*u + 52. What is g(-16)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 936 is divided by 109.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*x = 215*x - 121470. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 9 + 11 - 5 + 5*d - 1. Let n be i(-3). Let a(q) be the second derivative of -9*q**5\/20 + q**4\/12 - q**2\/2 - 3*q + 2. Calculate a(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 24*n - 12*n**2 + 2*n**2.\nAnswer: -10*n**2 - 23*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - 0 - (86 + -66 - 54)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 202095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*sqrt(1700) + 1 + -1 + sqrt(1700) + -1) - 5*(-5 + 2*sqrt(1700) + -4 + sqrt(1700)))**2.\nAnswer: -25000*sqrt(17) + 1065000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from llhllhllhhhl?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1 + 11)\/(-1))\/1 - -2. Let j be s\/68 + 2719996\/(-34). What is j rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11718.1436 + 11740. Let d = o + -21.8. Round d to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-150*g - 168*g + 298*g)*(0*g**2 + 2*g**2 - g**2)*(13 - 3 - 12) to the form k*g**3 + y*g**2 + a + l*g and give k.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*f*i**2 + 1837*f*i + 10*i**2 wrt i?\nAnswer: 42*f + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 70508, 70512, 70516, 70520, 70524?\n\"Answer: 4*v + 70504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 862539 is divided by 61285.\nAnswer: 4549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -632 (base 8) to base 6\nAnswer: -1522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004634 to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/6*(-30)\/(-20). Let w be 6 - (n + -5 + 14). Solve 0 = w*z + 3*z + 3*o - 5, 3*z + 4*o - 3 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 604956 and 10.68343699.\nAnswer: 604966.68343699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -435 by -340552.\nAnswer: 435\/340552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 23353537 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 444266 and 458222.\nAnswer: 2326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23150431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 0*l + 6*l**2 - 23 + 8\/3*l**3. What is the second derivative of n(z) wrt z?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**3 - 16*t**2 - 26*t + 14. What is f(7)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**6 + 2*d**5 - 2556*d**3 + 53*d**2 + d - 51?\nAnswer: -240*d**3 + 120*d**2 - 15336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -2. Which is the second smallest value? (a) -3 (b) -2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) + 3 + sqrt(7) + -3 + sqrt(252) + sqrt(252)*2 + sqrt(252) + (sqrt(56)\/sqrt(4))\/sqrt(2))*-1*4)**2.\nAnswer: 87808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 12:31 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3612*w = 3333*w + 3348 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**2\/6 - 55*l\/3 + 465\/2 = 0 for l.\nAnswer: -31, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1548\/55728*(-15)\/(-4)*6\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 138836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(84)*1 - sqrt(84)) + sqrt(84)) - sqrt(84))\/(sqrt(12) - (-1*sqrt(60))\/sqrt(5)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 6*n + 12. Let j be i(-8). Let k = 9.3 + -9.24. What is the closest to k in 4, 0.5, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-6)*y*y**(1\/2)*y**(1\/12)*y*y**(-1\/5) assuming y is positive.\nAnswer: y**(-157\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a + 10*a + 4*a**2 + 5*a**2.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c**2. Let x(f) = -107*f. Calculate x(v(i)).\nAnswer: 321*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 33) + -53 + -1 + -13 + 27.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 218134932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 654\/(-1065) + 1. Let q = c + 1\/71. Suppose -2*s = 8, -1 - 16 = i + 4*s. Put i, -2, q in ascending order.\nAnswer: -2, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 796 divided by 5?\nAnswer: 796\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 3*f + 16, 3*b - 2*f - 21 = -2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -32*o - 35. What is j(-4)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 9*v - v**2 - 5*v + 5*v - 7. Let p be d(8). Find the first derivative of -p - 1 + 0*f**2 - 3*f**2 wrt f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/39 - -3\/13. Let r = 6023\/2 + -3012. Which is the third smallest value? (a) r (b) -3 (c) -1\/6 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -3*g + 17, 6633*t = 6635*t + 3*g - 19 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 - 7012*r**3 + 12410662*r**2 - 415902756*r + 3518031969.\nAnswer: (r - 3489)**2*(r - 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 150935*n**2*v**2 + 168128799*n**2 + 552*v**3 wrt v.\nAnswer: 301870*n**2*v + 1656*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 13. Let g = w - 7. Let a = -1156 - -1141. Put g, -0.1, a in descending order.\nAnswer: g, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(4032)*-3 - (((1*(sqrt(63) + sqrt(7)) - sqrt(7)) + -1)**2 + 5).\nAnswer: -138*sqrt(7) - 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9402240.\nAnswer: 2, 3, 5, 59, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c + 40*c**4 - 18*c**4 - 21*c**4 + c**3 - 3*c**2 to the form p + i*c**4 + t*c**2 + j*c**3 + w*c and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180068144?\nAnswer: 2, 1289, 8731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 2, -7\/5, 1\/26?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/(-12))\/((-8)\/(-22)*(-22)\/(-12)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1021000021 (base 3) to base 15.\nAnswer: -752d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33.8 + 186.2. Let t = s + -73. Round t to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 t, and 2 u when four letters picked without replacement from {t: 1, u: 5, h: 7}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 123? (a) -0.1 (b) -4 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f - 36609. Let z(q) = 2725*q. Give j(z(k)).\nAnswer: -10900*k - 36609","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2301 - 26?\nAnswer: 2242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*-1*(-1184)\/(-3848)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/9*g**2 - 1\/9*g**3 + 0 + 0*g + 1\/9*g**4 + 1\/9*g**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261.3 times -8?\nAnswer: -2090.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5465016 plus 0.04?\nAnswer: 5465016.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(5*(-2638)\/920 + 16\/184)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x. Let l(d) = 5*d**2 - d. Let m be l(-1). Let a(k) = k**3 - 9*k**2 + 21*k - 10. Let q be a(m). Let o(f) = -144 + 144 - q*f. What is o(g(h))?\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5\/140*((-645)\/30 + 22)\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525.5 equal to 5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1798, -3582, -5340, -7060, -8730?\nAnswer: -10338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 + 1 + (4 - 2). Let a = -21 + 23. Suppose -2*d = a*g - 26 + 2, 0 = -g - 2*d + c. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/8)\/w*w\/w**(2\/3)*w**19*w**(-5\/6)\/w assuming w is positive.\nAnswer: w**(131\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 42976*j + 3 = -42974*j, 5 = 3*i - 8*j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2720 rounded to the nearest one hundred?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5490 = -b - 3*f, 4*f + 35 = 31. Calculate the remainder when b is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1\/22, -2, 1?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-375)\/(-1350)*3\/10. Which is bigger: 6\/25 or g?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 + 50*x**2.\nAnswer: 5*x**2*(x + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + d + 0*d - 5*d + d + 2*d + (0 - 3 + 1)*(-3*d - 4*d - 13*d) + (-4 - 2 + 5)*(-3*d - d + 2*d).\nAnswer: 39*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*h**2 - 1 + 13*h**2 + h**2 + 12*h**2 to g*h + p + j*h**2 and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 7 + 11 + 11*u + 7 in the form o*u + r and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155872 divided by 16.\nAnswer: -9742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6693319 + 2\nAnswer: 6693321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5*r + 13 + 4, -r + 11 = -5*f. Let x = -0.3 - -0.3. Let q = -14 + 10. Which is the closest to x? (a) f (b) q (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2560380.\nAnswer: 2, 3, 5, 139, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68 and 1568233?\nAnswer: 6272932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*o + 218*o = 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 9 - 1 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 0. Sort 1, g, 2, 0 in descending order.\nAnswer: 2, 1, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 - 11*k**2 + 5*k. Let z(i) = -16*i + i**3 - 17*i - 7*i**2 + 36*i. What is -5*p(u) + 8*z(u)?\nAnswer: -2*u**3 - u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*g - 3*g**2 - 8*g + 2*g + 2*g**2 - 3*g + 12 + 0*g - 15 - 3*g**2 + g**2 + 3*g**2 + (5*g - 4*g + 0*g)*(5*g - 4*g - 3*g).\nAnswer: -2*g**2 - g - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40675 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -68 (base 10) to base 14\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31806 is divided by 15902.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/8 - (-1419859)\/28*15)\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 13. Let n(t) = 8 - 2*t - x. Let h(m) = -4*m + 4*m + 3*m. What is h(n(b))?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-98)\/(-21))\/7 + (-48)\/18\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*t - 18 = 0, -4*t = -t. Factor -2*s**5 + 0*s**5 - 63*s + f*s**3 - 30*s**2 - s**5 - 5 - 22 + 9*s**4.\nAnswer: -3*(s - 3)**2*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -9.2 (b) -1 (c) -1\/18 (d) -5 (e) 1\/3 (f) -2\/13 (g) 68\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 471728.3 centuries in decades?\nAnswer: 4717283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 185*x**3\/6 + 211*x**2\/2 - 227*x. Differentiate i(g) wrt g.\nAnswer: 185","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + (3*(0 + -1 + sqrt(80) + 4 + -1))**2*4.\nAnswer: 576*sqrt(5) + 3021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 348334, 348340, 348332, 348304, 348250, 348164?\nAnswer: 348040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 61*i**2 - 610*i - 16. Give g(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121431?\nAnswer: 3, 17, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -46\/17 != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1197 is divided by 276.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -8 + (8 - 0) + -10.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 432307.6 nanoseconds?\nAnswer: 0.4323076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*j**2*t**2 - j**2*t*w**2 + 17*j**2*w + 2*j*t**2*w**2 + j*w - 203*t**2*w wrt j.\nAnswer: 6*t**2 - 2*t*w**2 + 34*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3750838 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, 0.5, -1\/5 in increasing order.\nAnswer: -1\/5, 0.5, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**4 + 1215658*b**3 + 123150410191*b**2 - 328408117680*b + 164204869284 = 0. What is b?\nAnswer: -202611, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/(-47*(-50)\/2350).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 108 - 224 + 116 + 19*i. Let d(j) = -7*j**2. Calculate d(b(g)).\nAnswer: -2527*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 8. What is the lowest common multiple of 1\/(-4) - 66\/(-8) and i(8)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b + 30. Let w be y(7). Let f be w\/15*(10 - -5). Suppose -f = r - 11. Let q(a) = -6*a**3 + 5*a**2. Let o(n) = -n**3 + n**2. Give r*q(l) - 11*o(l).\nAnswer: -l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p + 3*p + p)*(3*p - 7*p**3 - 3*p).\nAnswer: 14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1188 + -1163. What is the remainder when 319 is divided by u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 0*h**2 + 0*h**7 + 5*h + 0*h**5 + 0*h**3 + 0 + 1\/12*h**4 - 1\/14*h**8 + 0*h**6. Find the third derivative of t(u) wrt u.\nAnswer: -480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -682*y - 1 - 8 + 9.\nAnswer: -682*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 6:08 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107 - -173. What is the greatest common factor of 165 and x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -7*c - 5*c**2 + 6*c + c**4 + 4*c**3 - 3*c + c**4. Let m(p) = 2*p**4 + 4*p**3 - 6*p**2 - 4*p. Let d(b) = -4*k(b) + 3*m(b). Factor d(r).\nAnswer: -2*r*(r - 1)*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4088090 a multiple of 286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 7*v - 10. Let w be n(-3). Solve w*f + 2 = g - 3, 4*g = f - 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 5\/3*s**3 + 5\/3*s**2 + 10\/3*s.\nAnswer: -5*s*(s - 2)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 0 + 0*g - 14*g**2 - 13\/24*g**4 + 7\/2*g**3. Differentiate q(o) wrt o.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-782426.\nAnswer: -312970.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5190, 4, 18 in descending order.\nAnswer: 18, 4, -5190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4471 divided by 164?\nAnswer: 4471\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 29 + -96 + 9 + 75.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 5*f**2 + 12*f + 15. Let n(g) = 3*g - 3. Let t(m) = 14*m - 13. Let z(p) = -9*n(p) + 2*t(p). Let j(a) = k(a) - 6*z(a). Calculate j(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**7\/21 - c**6\/15 + 8*c**5\/5 + 7*c**4\/12 + 2*c**3\/3 + c**2\/2 + 12781*c. What is the third derivative of q(o) wrt o?\nAnswer: 120*o**2 - 48*o + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 170231 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**3 + 3*k**2 + 3*k + 3. Let a be o(-2). Let m = a - 35. Let g be 2\/(-4) - 55\/m. Solve -g*x + 4 = -4*i, 5*i = 2*x + 3*i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -6*p**4\/5 - 44*p**3\/5 - 64*p**2\/5 + 64*p\/5 = 0.\nAnswer: -4, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17, -40, -63?\n\"Answer: -23*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + z - 2. Let l be h(1). Let p(b) = 1 - 2 + l. Let j be (-110)\/22 + 6 + -2. Let i(u) = u + 5. Determine j*i(k) - 3*p(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**4\/4 - 2*d**3 - 5*d**2\/2 - 9*d - 10. Let m be l(7). Let o = 2 - -4. Is o less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -x - 1, -c - 3*c + 5*x + 41 = 0. Suppose -f + c + 19 = 0. Let w be 4\/(-8) - (2*(-78)\/24 - -1). Solve 2*k - f = -5*z, -3*z - w*k = -8*z + 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k - 12. Let x be q(0). Let i be x\/9 - ((-100)\/(-15))\/(-5). Solve 1\/3*y**4 - 1\/3*y**5 + 0*y**2 + 2\/3*y**3 + 0*y + i = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 0.3 (c) -154 (d) -2\/21 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -387 - -558. List the prime factors of o.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d + -15d5ba?\nAnswer: -15d5c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (4 - (-40)\/(-18))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12064 <= 12514?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = -3*c - 154*l + 446 + 362, 16 = 3*c + c + 2*l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*c**2 + 27*c**2 - 5*c**2)*(-c**2 - c + c).\nAnswer: -57*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/7)\/(12\/42). Let u be p + 1\/(-2)*-8. Suppose 5*m = 10, 2*a + 3*m - 14 = -u*a. Solve -a*c + 4*c = -4*g + 10, 0 = 3*g - c - 15 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16653 is divided by 40.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/2 - 60648*m - 1839089952 = 0. What is m?\nAnswer: -60648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 33385536929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*i + 39 - 49 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.05887 + -2.06. What is l rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k*u**4 + 21*k*u**3 + 2*k*u**2 - 1158420*k - 1665*u**4 + 9*u**3 + 2 wrt u?\nAnswer: 24*k*u + 126*k - 39960*u + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 10*r**2 + 10*r - 1. Determine y(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + u**3 - 7)*(546 - 742 - 705) + (-2*u**2 - 2 + 2)*(0*u - u - u) - 2*u**3 + u - u in the form w*u + t*u**2 + h*u**3 + i and give h.\nAnswer: -899","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009886 rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*u + 38 + 42, 2*u = 4*y + 128. Let s = -18 + y. Let z = 29383\/8 + -3667. What is the common denominator of s and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -119*z**2 - 119*z**2 + 222*z**2 - 20*z in the form g*z + w*z**2 + m and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1032 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 1 + 7 + 23*d**2.\nAnswer: 23*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/6)\/((-1161)\/20898).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -851688 and -6680.6256?\nAnswer: 845007.3744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 111*r**2 + 635*r + 2. Let d = 149 - 89. What is the smallest common multiple of d and n(6)?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2109595947?\nAnswer: 3, 1801, 390449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 7*w**2 - 8*w. Let b(g) = 2*g - 3. Let q be b(8). Suppose 0 = 3*t - 2 - q. Let i = t - -1. Calculate p(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n + 10. Let d be z(-7). Let t be -4 + d\/(-8)*-118. What is the units digit of -7*9*6\/t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a - 24 + 99 = 0. Solve a*m = -49 + 43 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(204)*-2 + sqrt(204)) - (sqrt(204)*4*6 + sqrt(204) + sqrt(204)))\/(sqrt(12) - sqrt(60)\/(sqrt(30)\/sqrt(6)) - sqrt(48)*3).\nAnswer: 23*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -25618386.2 to the nearest 1000.\nAnswer: -25618000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qdyehhhddqeh. Give prob of picking 1 q, 1 y, and 1 e.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 (base 6) in base 11?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 8*s - 67. Let v be z(-14). Let n(c) = c**3 - 18*c**2 + 10*c + 103. Determine n(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10945829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 6) in base 3?\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4319, 4312, 4305, 4298, 4291?\nAnswer: 4284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0033 - 0.0242. What is p rounded to 3 dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6131557 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 28*y**2 + 1047*y - 30*y**2 - 526*y - 521*y. Let o(r) be the third derivative of -27*r**4\/4 + r**2. Determine z(o(b)).\nAnswer: -52488*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 433139024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2485 = 2*l, 0*z - l = -2*z + 994. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -2*m**2 - 7\/24*m**4 + 0 + 0*m + 0*m**3. Is c(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9500 + 14748 = -90*s + 1020*s - 15212 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f**3 + 617*f**2 + 219*f - 277. Give z(-123).\nAnswer: 3044","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 + 56 = -t. Suppose 0 = -b + 3*s + t, 0 = -4*b - 10*s + 5*s - 1. Let u(c) be the first derivative of c**3\/3 - 5*c**2\/2 - 4*c + 13. Calculate u(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 6*o + 6. Let t(v) = 2*v**2 + 11*v - 11. Let j(y) = 6*t(y) + 11*u(y). Let n(s) = -s. Calculate j(n(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/7)\/(l*l**(-3)))**(-14) assuming l is positive.\nAnswer: l**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*k - 9*k - 840. Suppose -k = -n + 13*n. Let m(o) = -3*o - 9. Give m(n).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9983648l?\nAnswer: 998.3648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*s - 190*s = -99*s - 203*u - 5071, -2*s = 5*u + 117 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69.4 - 69.4. Let s = m - -34. Which is the third smallest value? (a) -0.1 (b) 6 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -246.924 - -255. Let c = y + -8. Let f = c - 0.0992. What is f rounded to three dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -775*p**2 + 1567*p**2 - 792*p**2 + 4647*p**3.\nAnswer: 4647*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 54471, 54486, 54507, 54534, 54567?\n\"Answer: 3*k**2 + 6*k + 54462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 3\/8, -67?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*n**2 - 49*n**2 + 27*n**2 + 45*n**2)*((0 - 3 + 2)*(0 + 0 - 2*n) + 36 - 36 + 94*n).\nAnswer: 4512*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-2970)\/44)*(8 - (-176)\/(-24)) + 9\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 9:48 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3369169 months in millennia?\nAnswer: 0.000194743075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 - -2)\/(-5) - (-1 - 0). Suppose -5*i + 4 = -7*i, h*f + 4*i = -12. Which is smaller: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 1968*n - 178517. Calculate o(91).\nAnswer: 571","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 4 (b) -1 (c) 0.7 (d) 3401 (e) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 w when four letters picked without replacement from {g: 5, w: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 491 + -487. Solve 2 = -z*o - 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 114961\/(-182) + 21\/(-6) + 1. Let l = 634 + g. Let w = -267\/1547 - -5\/91. Sort w, -1, 4, l.\nAnswer: -1, l, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 724885?\nAnswer: 5, 7, 139, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*c = -25, -4*w + 25 = -c + 2*c. Suppose 5*q + 3*u = 38, -3*q + w*q + 3*u - 8 = 0. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/63, 1, -5, 1.81 in decreasing order.\nAnswer: 1.81, 1, -1\/63, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*c + 12*c + 55 + 11*c + 3*c + 2*c.\nAnswer: 6*c + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13\/2 - 1\/4*m**2 + 27\/4*m.\nAnswer: -(m - 26)*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 - -22. Let r = y - -32.994. Round r to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t = 0. Suppose -2*w + w - 4*v + 4 = t, 0 = -v. Let -4*h**w + 3*h**3 - 3*h**4 + 0*h**2 - 2*h + 3*h**5 + 3*h**2 = 0. What is h?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c = -192. Suppose -3*w = 78 - 525. Let g = c + w. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 1. Let y(n) = n**2 - 7*n - 12. Let w(h) = -30*a(h) - 5*y(h). Suppose w(v) = 0. Calculate v.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 5. Suppose 0 = 3*m - 3, m + 1 = -r*z - 10. Which is the closest to 0.1? (a) 1 (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 - 3*i**3 + 79 - 22 + 32*i**4 - i**2 - 30 + 2*i to the form a*i + u*i**2 + z*i**3 + k + c*i**4 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, t: 12}. What is prob of picking 3 b?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 8*l**2 + 2*l + 12. Let j be o(-8). Let y be (1 - (-9)\/3)\/2. Let f(c) = -2*c**2 + y*c**2 - c**2 - 6*c. Give f(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 4*w + 22, 5*w - f + 7 = -3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -77528652?\nAnswer: 77528656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 3*p + 7. Let r(t) = -t**3 + 2*t**2 - 10*t - 22. Let j(n) = 8*l(n) + 3*r(n). What is the units digit of j(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -106.1 + -13.9. Let t = j - -68. Let d = t - -51.9528. Round d to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1357072?\nAnswer: 2, 89, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4 + 5*l**3 - 4*l**3 + 0*l**3 + 3*l**3 wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1 + (sqrt(833) - (sqrt(833) + (sqrt(833)*2 - sqrt(833)) + sqrt(833) + -3) - sqrt(833)))**2.\nAnswer: -84*sqrt(17) + 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.7402 rounded to one dp?\nAnswer: 53.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -7\/45547?\nAnswer: -7\/45547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 12*w**2. Let j(q) = 25387*q - 4. Give j(l(r)).\nAnswer: 304644*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7818 a factor of 1212915792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 12\/7, -12\/71, 1, -37\/42?\nAnswer: -37\/42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + l + 3*l)*(-l**3 - l**3 + 3*l**3)*(4427 - 4427 - 420*l - 2*l + 2*l + l + (-2 + 2 - l)*(1 + 5 - 4)).\nAnswer: -842*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -404, -821, -1254, -1703?\n\"Answer: -8*i**2 - 393*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -2*i + 2*h + 90, 0 = -5*i + 3*h + 562. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + l = -8. Suppose l*m = -9 - 7. Let z = 0 - m. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + h + 34 = -0*g, 5*g = -4*h + 14. Suppose -3*b = 51 + g. Which is greater: -20 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1470 and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a = -0 - 16 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/2147984 and -83\/15198?\nAnswer: 6443952","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fafnfffnfpanagu. What is prob of sequence ng?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131131 (base 4) to base 15.\nAnswer: -85a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, d: 3, r: 3, s: 1, a: 5, p: 6}. What is prob of sequence paj?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 6738 = -18543. Let y = -341 - n. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*i**2 + i**2 + 0*i**2)*(116*i**2 + 426*i**2 - 43*i**2) to the form m*i**4 + q*i**2 + d*i + b + s*i**3 and give m.\nAnswer: -1996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 4*f + 21, 5*m = 62*f - 61*f + 12. Solve -2*b + 2 = -4*r, m = -b + 5*r + 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.07 + -2.4. Let p = 2.77 - n. What is the closest to 2\/7 in p, -2, -0.04?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-340)\/80)\/(1\/(-4)). Suppose b*d + 53 = 18*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((444\/(-54) - -1) + 7).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1920333466 a multiple of 1009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21276945*i**3 + 1657*i + 136537?\nAnswer: -127661670*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -970*o**2 - 2*o - o + 974*o**2 + 2 - 2*o**3 to the form c*o**2 + t*o + h + l*o**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6860?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 3*u + 7. Let g be y(5). Let l(j) = -9*j - 6. Let r be l(g). Let a = 40 - r. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - -11) + (-16 - 19).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fmq when three letters picked without replacement from noqfffqmonqq?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - -1)\/((-2)\/(-6)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 6*i**2 - 6*i + 21. Let x be f(9). Let o be x\/12*(-18)\/(-5). What is the highest common divisor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/19 + 4540*f\/19 + 4542\/19.\nAnswer: -2*(f - 2271)*(f + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69504814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -54, -3, 1 in ascending order.\nAnswer: -54, -3, -2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 288435 or 15863976\/55?\nAnswer: 15863976\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1969 - 991 - 978 + 1494*s to the form v*s + j and give v.\nAnswer: 1494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qh when two letters picked without replacement from rqwqwxxxxqxqrxqrxqrh.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4 + 0 + sqrt(128) - (1*-3*sqrt(128) - sqrt(128))).\nAnswer: 3 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/333 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 29 = 21. Suppose 0*l - 2*l = 312. Calculate the remainder when k is divided by l\/(-9) + 1\/(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Which is the nearest to -0.1? (a) 2\/13 (b) -0.3 (c) -9\/5 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + -110221331?\nAnswer: -110221312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 0*d + 3*d - 25317, -5*k - 2*d - 42216 = 0. Let f be ((-79694)\/10)\/(k\/15). Let g = -3\/469 - f. Find the common denominator of -25\/11 and g.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwnynbnknkbkfw. What is prob of sequence wk?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*q - 19 = 0, -4*q + 8 = 5*h - 16. Solve h*g = g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, r: 1, v: 1, w: 3, h: 4}. Give prob of sequence vzz.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**2 + 18*y - 19. Let a be m(-7). Solve 3*b + 3*r = 9, -a*r = 6*b - 5*b - 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(50\/(-10)))\/(3\/((-12)\/26))\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 103 (c) -0.5 (d) 0.4 (e) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m**3 - 7*m**2 - m + 7. Suppose 0 = -i + n + 3*n - 17, 2*i + 4*n = 2. Let g(x) = -4*x**3 + 6*x**2 + x - 7. Let l(j) = i*u(j) - 6*g(j). What is l(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + sqrt(162)\/(sqrt(9)*-3) + sqrt(18))**2*-4 + -1.\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001149922 rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b. Suppose -6*v + 9 = -9. Suppose -5*w - a + 13 = 0, -3*w + v = 4*a - a. Let o(g) = -6*g - w*g + 3*g. What is o(u(s))?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20999?\nAnswer: 11, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.238 + -0.438. Is -26\/31 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7077952741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, t: 3, s: 2, d: 2}. What is prob of sequence sd?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -828, -1533, -2194, -2811?\n\"Answer: 22*f**2 - 771*f - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 18. Let m(a) = 2*a**2 - 13*a + 19. Let c(f) = -3*f**2 + 27*f - 39. Let l(n) = -3*c(n) - 5*m(n). Calculate the remainder when 7 is divided by l(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*-1*(sqrt(5) + 1 + sqrt(5)))**2.\nAnswer: 400*sqrt(5) + 2100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3143 and 23797?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 13*y**2)*(-3*y + 4*y - 7*y)*(10 - 17 - 74 - 4 - 54).\nAnswer: -10842*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3755 and -1.05?\nAnswer: -3942.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, f: 8, i: 7, d: 2, s: 1}. What is prob of picking 1 i and 1 p?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s + 11. Let f be r(-4). Let j(c) = -3*c - 30. Let k be j(f). Let d = 23 - k. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*y + 64 = y, -y = 2*j - 39. Let a = j + -16. Suppose -3 = -z + f, -3*z + 5 = -a*f - 6. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 1986490 + 1213510. What is v rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -0.34, 3.\nAnswer: -4\/7, -0.34, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1172 from -36.669.\nAnswer: 1135.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 64\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) -7\/8 (b) 1\/8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-1)*c)\/c)\/c)**(-1\/6)\/(c*c**5*c*c*c**(1\/4)) assuming c is positive.\nAnswer: c**(-97\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) -4 (c) 3\/4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-1)*(-2)\/(-2). Suppose r - 5*c - 12 = -0*r, 0 = -3*r + c + 8. Let n be ((-48)\/(-14))\/(3*r\/21). Solve -2*h = -f*h + n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63.3 + -63. Let s(f) = f**3 - 5*f**2 + 2. Let v be s(5). What is the third biggest value in c, -1.3, v?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -2\/3 (c) 0.06 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l - 5. Suppose 4*u = 5*x - 2*x + 17, 5*u = 3*x + 25. Find the common denominator of i(u) and (-30)\/(-56) + 6\/(-21).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/20 + -5*(-132)\/50. Suppose -3*k + 2 = -13. Solve 3 = -y + 2*r, -4*r + 8 = -k*y - d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2400, 2401, 2402?\nAnswer: 2403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - c - 4)*(43*c + 185*c - 9*c + 215*c) to the form k*c + g + m*c**2 and give m.\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -569 + 574 + 1\/2*0. Solve 1 = z*m - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -2. What is the first derivative of -9*h + 13*h + 15*h + 13 - f*h wrt h?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 + (-2 - -3) - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 1. Let z(b) = -3*b**3 - b**2 - 5. Let q(t) = -2*h(t) - z(t). Let s be q(0). What is the greatest common divisor of 77 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28184*b + 27742*b + 15028 for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t**2 - 4*t**2 - 4*t**2)*(4*t**2 - t + t - 3*t) in the form d*t**3 + y*t + m*t**4 + q + i*t**2 and give m.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 10:15 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 3:28 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3963 (b) 0 (c) -3\/7 (d) -4 (e) -0.2 (f) -19 (g) -68\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.246 - -4.546. What is the nearest to -3\/8 in -2, -1\/4, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x + 2. Give v(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**4\/4 + 18761*d**3\/2 - 1077963*d**2\/4 + 833671*d\/2 + 169236 = 0. What is d?\nAnswer: -12536, -1\/3, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*14\/(-1575)*(12\/8 + -3).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -7*h. Let u(m) = 7*m. Let n be 50\/8 - 5\/20. Let p(y) = 0*y - 5*y - 2*y + 8*y. Let q(a) = n*p(a) - u(a). Determine o(q(x)).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 66*b - 9. Suppose -5*k - 3*n = -14, -n + 2 = -2*n. Let x be s(k). What is the highest common factor of 153 and x?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 1. Let t = -0.03192 - -4.03192. Which is the third smallest value? (a) t (b) -0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12858442 is divided by 577?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 + 75. Suppose 0 = 2*f - 207 - s. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - t = -15 - 2, -5*t + 16 = 3*i. Which is bigger: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**4*i + 3*b*i**3 - 27*b*i + 8477*i**3 with respect to b.\nAnswer: -8*b**3*i + 3*i**3 - 27*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1093 and 13116?\nAnswer: 13116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-27) - (1 + 164\/9). Let b(s) = 36*s**2 - s. Let i be b(-1). Let x = q + i. List 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 -3219430 divided by -321943?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 20*j**2 + 6 as h*j**2 + a*j + g and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w - 1. Is p(-4) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2. Let u(c) = c**2 + 8*c - 7. Let t be u(-9). Let f(x) = -t*x + 4*x + 0*x + x. What is g(f(a))?\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 613 divide 429713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/6*37440\/(-44). Let t = 284 + z. Factor 2\/11*x**3 + 0 + t*x**2 + 2\/11*x.\nAnswer: 2*x*(x + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.87 plus -55.6?\nAnswer: -56.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 14*j**2 - 35. What is k(0)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 87*j**3 - 3*j**2 - j. Let s(v) = 87*v**3 - 4*v**2 - v + 2. Let g(m) = 4*b(m) - 3*s(m). What is the second derivative of g(p) wrt p?\nAnswer: 522*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 83884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3611)\/(-3))\/(13\/(-6) - (9 - 11)). Is y < -7222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12013313 (base 4) to base 16\nAnswer: 61f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -6, 302, -0.5.\nAnswer: -6, -0.5, -0.2, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 162504 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 253*j - 1001. Let q be l(4). Solve -8*n + q*n + 3 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 124*y - 111*y - 26 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -596116.3 + 596116. Let v(u) = -28*u**3 - 2*u**2 + 2*u - 1. Let n be v(1). Let k = n + 18. Put k, p, -0.1, 2\/11 in ascending order.\nAnswer: k, p, -0.1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14204 divided by -106?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3 + 825336*r**2 - 6602592*r + 13205120 = 0. Calculate r.\nAnswer: 4, 412660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aybbybxyabbay. Give prob of sequence aay.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dvdd when four letters picked without replacement from {d: 12, v: 7}.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 88972249 to the power of 1\/2, to the nearest integer?\nAnswer: 9433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -3 (c) -3\/2 (d) -3\/7 (e) -5.42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17749*n**4 + 630*n**3 + 14945155*n**2.\nAnswer: -425976*n + 3780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 30*v + 122. Calculate i(25).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -526 + 485. Are -1.8 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25917676?\nAnswer: 2, 1459, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**4 + 856*p**3 + 18*p + 14 wrt p.\nAnswer: -12*p**2 + 5136*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vomiioomoomi. What is prob of picking 1 o and 3 i?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -145, -165?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*t - 28587 = -94657, 5*o + 5*t - 66100 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.3927 + -0.3927. Sort 0.073, -77, x.\nAnswer: -77, 0.073, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16554 (base 11) to base 7.\nAnswer: -124622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, 4, -6, -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 c when three letters picked without replacement from tuccruj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + z - 15, -v + 274 - 310 = 8*z for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 e when three letters picked without replacement from wfffefweeewfeeefw?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**3 + 3*w**2 - 1. Let a be m(1). Sort -3, a, 1 in decreasing order.\nAnswer: a, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 10:05 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 85691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 2*h**2)*(4*h**2 + 6*h**2 - 3*h**2) + 2 - 2 + 2*h**4.\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 22530000 to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/((a\/(a\/((a\/a**6)\/a))*a)\/a)*a**7)\/(a**(2\/3))**(-2\/15) assuming a is positive.\nAnswer: a**(679\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 27?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)*r)\/(r\/r**(-4\/7))*(r**(3\/8)*r)\/(r**(-4)*r*r)*((r**2\/r)\/(r\/r**(-5)*r))\/((r**(-2\/7)\/r)\/r)**(-14\/5) assuming r is positive.\nAnswer: r**(-2967\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-6)*k**(-2\/17)\/k assuming k is positive.\nAnswer: k**(-104\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/15)\/((-21)\/14)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z\/z**(1\/4)*z))**(-16) assuming z is positive.\nAnswer: z**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -699*b + 1404*b - 5*b**2 - 701*b + 22*b**2 to the form z + s*b**2 + l*b and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 18 - ((-7 + 2 - (6 + 3 + -16)) + -2)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 plus -0.8602?\nAnswer: -110.8602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/36 and ((-6)\/15)\/((-4)\/(-6))*286\/144.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-72)\/26*276\/8096 and -67\/132.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-17)\/(-3))\/((-10)\/(-30)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -280217, -280216, -280215, -280214, -280213, -280212?\nAnswer: -280211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 413743854.\nAnswer: 413743854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13414 divided by 296?\nAnswer: 6707\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i + 2. Let s be (16\/(-6))\/((-4)\/(-6)). Give c(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26035 is divided by 8649.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1176) + -4*sqrt(1176) + sqrt(1176))*6)\/(-1*sqrt(288)*2)*6.\nAnswer: 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/6 of a minute in seconds?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -636*c + 229*c + 3 + 414*c**3 + 78*c + 192*c wrt c?\nAnswer: 2484*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4 = 3*o, 4*c + 11 = 27. Suppose 0*x - o*a + 17 = -3*x, 3*x + 2*a = 13. Suppose 3 + 2 = 3*y - 5*z, 2*y = 3*z + 3. Solve 0 = -h - y + x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24131 (base 5) to base 8.\nAnswer: -3377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 12:33 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-13\/4))\/a**9 assuming a is positive.\nAnswer: a**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23068 - -23069. What is the closest to 0.049 in y, 0.1, 0, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.4 - -5. Let y = z - 20.4. Let w = -21 - y. What is the closest to -0.3 in 0.5, 0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.077128 to zero dps.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 172, 211, 254, 301?\n\"Answer: 2*u**2 + 33*u + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 129557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.6224 - 4.\nAnswer: -6.6224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.51, 0.3, 28.30484?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h - 9*h**2 - 1 + 23*h**2 - 16*h**2 - 5. Let y(g) = -5*g**2 + 9*g - 17. Calculate -11*l(x) + 4*y(x).\nAnswer: 2*x**2 + 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4) + (-2 - 18\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 87 = 2*d - 441, 5*b + 2*d = 2704. What is the smallest common multiple of b and 80?\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70208349*m**3*p**3 + m**3 + 2292747*m**2*p**2 - 2*m**2 wrt p.\nAnswer: 421250094*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**3\/2 + 1545*z**2\/2 + 80667*z\/2 + 228015\/2 = 0.\nAnswer: -45, -3, 563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 17468730.\nAnswer: 17468730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 661000313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000043742 rounded to 7 decimal places?\nAnswer: -0.0000437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1.9, 2, -0.19, 4, -1, 393, -4?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a + a**4 + 0*a + (658730*a - 1560*a**3 - 658730*a)*(-5*a + 5*a + 2*a).\nAnswer: -3119*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-11 - -3) - (1 - -7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -339, -518, -999, -1932, -3467?\n\"Answer: -25*y**3 - y**2 - y - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2 - 65100*w - 1059502500 = 0. What is w?\nAnswer: -32550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 93 = 23. Let y = c + 11. Let a be 1*((-216)\/4)\/y. Solve -o = 4*o - 20, 0 = -3*m - 3*o + a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 20 = -2*h, m - 4*h = -4*m + 5. Suppose 3*u + 2*w - 264 - 211 = 0, -m*u = -3*w - 817. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20921 (base 10) to base 6\nAnswer: -240505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -23.9. Let y = -805 - -807. What is the nearest to u in -2\/39, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 103b - -8d88?\nAnswer: 9dc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 5.4683\nAnswer: 16.4049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + 9*l. Let x be k(-4). Let p be (-7)\/14*x\/7. What is the closest to 0.1 in -0.07, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2465635344 + -1?\nAnswer: -2465635345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16566 and 145074?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/4 - -5) + -1. Suppose 0 = 3*w + w. Solve w*x = -x - j*b - 3, 0 = -3*x + 2*b - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 77, 83, 99, 131, 185, 267?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1100111101111 (base 2) to base 5\nAnswer: -203024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 25144*u + 7442629. What is t(-296)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**5\/570 - j**4\/57 - j**3\/19 - 7*j**2. Find b, given that v(b) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131993, -263781, -395365, -526745, -657921, -788893, -919661?\nAnswer: -1050225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (20 - (5 - -7))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/8 + 2422583399\/(-148). Let n = 23318807 + a. What is n rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 1002?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 2*m + 4. Let b be k(0). Suppose -4*v - b*r = -2*v, -5*r = -25. Let w be 4\/10 + ((-96)\/v - -3). Which is greater: w or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3101741050 to the power of 1\/2, to the nearest integer?\nAnswer: 55693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 - z**2 + 4*z**2)*(5*z**2 + z**3 - 5*z**2) + 41*z**5 + 728*z**5 + 115*z**5.\nAnswer: 883*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 8 + 4)*(1497*i - 612*i + 2250*i - 97*i + 3841*i + 16096*i) as w*i + g and give w.\nAnswer: 298675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6 + -16*18\/(-2160).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (34 + -1 - 36) + -29\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 4:24 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 37. Let d = 8.95 - 6.9. Let q = -2 + d. Sort 0, q, p.\nAnswer: 0, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.1 and 3.\nAnswer: 9.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -15*v**2 + 14*v - 7. Let k(n) = 2 - 2 + 39*n - 32*n - 7*n**2 - 3. Let x(o) = -13*k(o) + 6*u(o). What is x(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 2*s - 1. Suppose -6 = 2*w, 2*f + 5 = -4*w - 11. Determine m(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**9\/252 + d**8\/336 - 43*d**6\/10 - 1049*d**5\/30 + 3*d**2 + 2*d + 149. What is the third derivative of p(n) wrt n?\nAnswer: -240*n**3 + 60*n**2 - 3096","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 j when four letters picked without replacement from {j: 11, k: 3}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 671*b + 276. Is x(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6874697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4070093 to two dps.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37323.\nAnswer: 3, 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/s**(-8))*s*s*s**(2\/33)*s*s*s)\/(s**(-7\/2)\/s**(-4\/15)))**27 assuming s is positive.\nAnswer: s**(3843\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -2768 - 39. List the prime factors of m.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63504.9*10.\nAnswer: -635049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7*f**2. Let t(i) = i**2 - 2*i - 2. Let b(s) = 3*s + 3. Let h = 20 - 23. Let c(p) = h*t(p) - 2*b(p). Determine r(c(z)).\nAnswer: -63*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -329146 equal to -719?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160518200, -160518202, -160518204, -160518206, -160518208?\nAnswer: -160518210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(6*sqrt(96) - sqrt(96)) - sqrt(77)\/(sqrt(11) + sqrt(44)\/(sqrt(4) - sqrt(144))).\nAnswer: -6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-322)\/(-92) + 3*(-2)\/(-4). Suppose a*y + 8*t - 4*t - 375 = 0, 262 = 3*y - 5*t. What are the prime factors of y?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 8*u - 7. Let r be t(7). Suppose -5*j + 44 = 4*s, -3*j = -3*s - r*j + 6. What is the least common multiple of s and (-99)\/(-15) + (-4)\/(-10)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**7\/147 + 34*s**6\/35 - 2389*s**5\/70 - 1802*s**4\/7 - 11236*s**3\/21 + 597*s. Determine u so that x(u) = 0.\nAnswer: -2, 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.389 and 0.8.\nAnswer: 0.3112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 133 - -18. What are the prime factors of z?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5045825 divided by -5\nAnswer: -1009165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {g: 1, c: 1, i: 1, o: 1, f: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3620290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 280\/45 - 2\/9. Solve l - 3*b + h = 0, 4*b + 1 = 5*l - 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27.592 * 2.737\nAnswer: -75.519304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 11*l**2 - 1. What are the prime factors of p(2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 1)*(-3*f - 6*f - 2*f) to the form d*f + y and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 u when two letters picked without replacement from uuuuuyuuuuuuiuu?\nAnswer: 13\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5836173.\nAnswer: 3, 7, 19, 14627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b + b + 5*b + 0*b + 0*b + 3*b + (2*b + 2*b - 2*b)*(3 - 3 - 1) + 0*b + 2*b + b + (-2*b + 0*b + 3*b)*(3 - 2 + 1) as y + m*b and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2 = -b. Suppose b*t - 4*t = -2668. Let q = 10687\/8 - t. Calculate the common denominator of q and 45\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + sqrt(153)*2*-3 + (sqrt(153) + 0 + 2 - (sqrt(153) - (0 + sqrt(153)*-2))))**2.\nAnswer: 192*sqrt(17) + 9808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26286 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*x + 30 = 91*x. Suppose -3*l + 1521 = x*l. Is l less than 169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34919459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 541781 - 541779. Let w = 2.9 - 3. Let u = -1.7 - -1.61. Which is the nearest to w? (a) 1 (b) u (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 24 = -5*s + 2*q, -q = -6*q - 60 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284856?\nAnswer: 2, 3, 11, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95 or 1991\/21?\nAnswer: 1991\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - -4) + (0 - (-12)\/(-3)). Suppose 1044 = p*h + 21. Calculate the greatest common divisor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -20.88, -0.09, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92.8 - -93. Suppose f + 325 = 6*f. Let q = f + -391\/6. What is the third smallest value in q, a, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-12))**(-42) assuming f is positive.\nAnswer: f**504","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 times 359600\nAnswer: -68324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6172740 and 24.\nAnswer: 12345480","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*r + 586 = 0, -3*l + 4*r = r + 870. Let y be 4 + l\/52 + 2. Let q = y - 40\/143. What is the smallest value in q, -7, 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 12:47 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7621 = 24*q + 1861. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + w**2 - 2*w**2)*(5 - 1 - 3) + (-w**2 - 3*w**2 + w**2)*(28 - 6 + 11)*(2 - 2 - 1).\nAnswer: 97*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/27 + (-2535)\/(-135). Suppose -63*s + p*s + 5412 = 0. Is 41 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 5) to base 2.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -16, 3, 42, 107, 204, 339?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.290185 meters to nanometers.\nAnswer: 6290185000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4*q - 5 + 5*q)*(-5 + 2 + 1 + 4 - 4 + 2 + 1 - 3 + 0 + (-3 + 5 - 4)*(1 + 1 - 3) + 3 - 1 - 1 - 34 + 6 - 3).\nAnswer: -30*q + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69151864?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12110, 11922, 11708, 11456, 11154, 10790, 10352, 9828?\nAnswer: 9206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a millimeter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.8287237 rounded to zero dps?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5155*k**3 + 3*k**2 + 9*k - 4. Let z be q(4). Suppose -z = -0*w - w. Round w to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 1 = -1, 4*i - 6 = -p. What is the tens digit of (-80)\/6*3\/p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(40)\/sqrt(2) + -5 - (sqrt(20)*1)**2*4).\nAnswer: -85 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/23494560 and -69\/2.\nAnswer: 23494560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zezzzzzetoozeetttt. Give prob of sequence ett.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -259928, -519852, -779774, -1039694, -1299612, -1559528?\nAnswer: -1819442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57005 or -57004?\nAnswer: -57005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**4\/6 + 13*d. Let g(v) be the third derivative of v**4\/24 - 2*v**2. Give f(g(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {m: 4, q: 2, o: 1, j: 2, t: 7}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/((-30)\/(-18))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-32*(-1276)\/(-1160)*10\/(-4))\/4\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 6 + 4*y - 11*y + 2*y + 7*y. Let u(q) be the second derivative of -q**3\/2 - 7*q**2\/2 + 33*q. Determine 7*m(w) + 6*u(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-15) - (-14)\/6. Suppose -n*b + 3 = -3. Solve b*r = 8*r + 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - h + 2*h**4 - 1 + (31*h**3 + 31*h**3 - 42*h**3)*(-13*h - 14*h + 15*h) to r*h**2 + q*h**3 + v + o*h + i*h**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-2)*16\/(-6). Solve 3*b = -4*a - 1, 9 = -s*b + 4*a - 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17258964 by 21.\nAnswer: 5752988\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.7327 weeks in seconds?\nAnswer: 41569536.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -265, -497, -717, -919, -1097, -1245, -1357?\n\"Answer: d**3 - 239*d - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-3 + 7 - 4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -169.1215 rounded to one dp?\nAnswer: -169.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/3)\/((-2)\/3). Let f = 6 - s. Suppose g + f*g = 36. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5387 - (0 - 4)\/(-4). Let d = -6204 - -19590. Let j = d - c. Round j to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 13) in base 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*g = 24, c - 6*g = -g. Let x = 34 + -83. Is 29 a factor of (x\/c + 2)*5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4 + (-1)\/(-4). Let w = -408 + 406. Which is the nearest to -2? (a) -0.5 (b) w (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146077 = 949*y + 971*y - 226*y + 19027 for y.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7164788999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.5, -3, 4, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1393800 to the nearest 10000.\nAnswer: 1390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 47*r**2 + 258*r + 306. Determine p(-11).\nAnswer: 1824","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/8 and (-2)\/4*(6 - (-7)\/14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2 = -0. Suppose -3*h + 5 - d = 0. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5081, -5286, -5491, -5696, -5901?\n\"Answer: -205*h - 4876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 + 1 + -1 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*c**4*n + 2*c**4 + 7*c**3*n + 7*c**3 + 65*c**2*n - c**2 + 15*n wrt c.\nAnswer: -240*c*n + 48*c + 42*n + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4113.392 weeks to nanoseconds.\nAnswer: 2487779481600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 147\/(-98)*(2\/3)\/1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 6*d - 9. Let q = -1 + d. Suppose -65 - 93 = -q*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 13182 = 11226. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -12*l**2 + 13 + 6*l**2 - 2*l - 15*l**3 + 2*l**2. Is d(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 10:51 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -9*x**4 - 42*x**3 + 36*x**2 + 90*x - 75 = 0?\nAnswer: -5, -5\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 6*t**2 - 8*t - 3. Let c be q(-7). Let g be 2*1\/4*10. Suppose d = -0*d + 24. Solve -x - d = -g*x - 5*i, 0 = -c*x - i + 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-60)\/(-18) + 1\/(-3))*5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1631450 is divided by 418?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 26\/7 - 12\/(-42). Let y = -0.49 + 0.3. Let q = y - -1.19. Is s at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 5*k**4\/12 - 5*k**3\/3 + 4*k**2. Suppose 5*g - 28 = 3*q, -g + 10 = q - 2. What is the remainder when l(4) is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - 33 - (-4 + 2*(-6)\/(-12) + -59).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1412357?\nAnswer: 1412357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 142\/(-10) - (47799\/705 - 65).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*f - 95 - 16*f + 95 to the form q*f + a and give q.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 1 - (10 - (9 - -4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/6 - (-22)\/6. Suppose -4*c = a - 21, 2*a + 2*c - k*c - 22 = 0. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*f - 44 = 117*f + 48 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 5 + 3*j + 2*j)*(1 + 1 + 0).\nAnswer: -2*j + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.02, -0.1, 2\/7, 49.11, 1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*g + 1626*g = -32230 - 46890 for g.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -50, -108, -166, -224?\n\"Answer: -58*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 257426?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -6*y**4\/7 - 18*y**3\/7 + 114*y**2\/7 + 522*y\/7 + 540\/7 = 0?\nAnswer: -3, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.194002 centuries to millennia.\nAnswer: 0.0194002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 344\/7515609 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 702*u + 910 = 247*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11583625 to the power of 1\/2, to the nearest integer?\nAnswer: 3403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3751 divide 957273955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2. Let s be (-6)\/3 - (-8)\/(-4). Let b be (3\/(-9))\/((s\/(-4))\/(-9)). Solve p = -b*i - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 202108 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -53, -27617 in descending order.\nAnswer: -14, -53, -27617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69*q**5 - q**4 + 12*q**4 - 185*q - 11*q**4 - 383*q**5 wrt q?\nAnswer: -6280*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001095325981 rounded to five decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19308723?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 694\/28 + 13\/(-26) - 7. Is 16 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*a**2*m*r - 2*a**2*r**2 + 508*a**2*r - 2*m*r**2 + 3*m with respect to m.\nAnswer: 23*a**2*r - 2*r**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -29 + -3 + 9 - -11\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 69. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8066600 rounded to the nearest 100000?\nAnswer: -8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(468)*-3 - (sqrt(117) + (2*(sqrt(117)*-1 + sqrt(117)) - sqrt(117) - sqrt(117) - sqrt(117)))**2.\nAnswer: -470 - 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 30*x + 1789. Determine y(-60).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(4\/(-3))*8\/24?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q. Let z(x) = 0 - x + 0. Let m be 5 + 7\/(28\/(-8)). Let h be -2 + m\/(-2)*22\/33. What is h*l(k) + 7*z(k)?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3860024*i**3 + 3370307*i + 3 wrt i.\nAnswer: -23160144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/6*(-3)\/7. Let k(g) = g + 6. Let x be k(4). Suppose -2*s = -h - x, -5*s + 2*s + 18 = -3*h. Put s, 2, 0, i in increasing order.\nAnswer: i, 0, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 7:30 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*t - 9 = 0, -16*h + 3*t = -21*h + 7. Let q(v) = 5*v**3 - 2*v**2 - 2*v - 1. Determine q(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1833650 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: Find the second derivative of -3*p - 18*p**4 - 15 - 2 - p**3 + p**3 + 6 - 2*p**2 wrt p.\nAnswer: -216*p**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1432, 3857, 8288, 15727, 27176, 43637, 66112?\nAnswer: 95603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (116*w**3 - 241*w**3 + 127*w**3 - 5*w)*(0*w - 5*w + 3*w) as d*w**4 + c + k*w + b*w**2 + y*w**3 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.1133798 and 1.8.\nAnswer: 5.60408364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 2*i**2 + 2*i - 2. Let l be ((-3)\/(-2) - 2)*-14. Let j be l\/4 + 1\/4. Let a be u(j). Solve a*c - 10 = -0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 627094 is divided by 6814.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.075058 from -35806.\nAnswer: -35805.924942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 25308249*0.5\nAnswer: 12654124.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -16. Suppose 25 = 2*n + 3*n. Suppose 2*y - 70 = k*b, 3*b + 16 + 4 = -n*y. Is b less than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*s = -x - 95, -3*x + 72 = -3*s. Let r be (0 + (2 - 1))*22. Is x bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18452*o**3 - 2*o**2 - 83529.\nAnswer: 55356*o**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128853, -257712, -386571, -515430, -644289?\nAnswer: -773148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013727 rounded to four decimal places?\nAnswer: 0.0137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 4\/7 (c) -1\/4 (d) -2 (e) -11 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 15. Suppose 2 = -3*g - n*z + 1, 0 = -3*g - 2*z + 5. Calculate the common denominator of 15\/22 and 90\/4*g\/55.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3146053748 to five dps.\nAnswer: -0.31461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f**2 - 51*f - 147. Let m(q) = q**2 + 22*q - 2288. Let b be m(38). Calculate y(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 5 = 5*n - 10*n, n - 5 = 5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llnlnn. Give prob of picking 2 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 1) + (0 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/6552 and 1\/492570.\nAnswer: 13791960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 + 0*p**2 - p**2)*(2*p + 0*p - 3*p) + (0*p + 0*p - p**2)*(-26*p + 19*p - 19*p).\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -236*b**6 + 36*b**2 - 6*b - 3 wrt b?\nAnswer: -28320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 599739.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 + 49. Let i(k) = -2*k - 6. Let m be i(-7). Which is the second smallest value? (a) -0.5 (b) m (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2843*k = 437 - 8966 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-6))\/(10*1\/60). Suppose 672 = 2*i + k*i. Calculate the highest common factor of 63 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-20)*(-271)\/(-9). Let p be 9 - 12*(-16)\/(-60). Let o = p + a. Sort o, 5, -3 in decreasing order.\nAnswer: 5, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4083.\nAnswer: 3, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -72, -360, -878, -1626?\n\"Answer: -115*a**2 + 57*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 345201 - 349119.63. Let g = 4215 + k. Let y = g - 295. Round y to one decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 23 = -3*g, -10*g + 49 = 5*x - 7*g. Solve 0*t = -4*t + x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*n - 4*s - 309, 4*n - 399 = s. Is 33 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 669dd + 0?\nAnswer: 669dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4568 + 8478. Let i(z) = 3*z - 3910 + l. Let n(r) = 9*r**2. Give i(n(h)).\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/955 (b) 2 (c) 0.072\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0014 * 7.\nAnswer: 0.0098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 3*t - 13089 = -13088, 3*t - 25 = -17*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -15\/6863, -1\/4, 1\/4?\nAnswer: -15\/6863","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (-1*sqrt(1088)*-1 - sqrt(1088) - (1 + sqrt(1088)*-2)))*-2*6 + 2)**2.\nAnswer: -9984*sqrt(17) + 627364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -811 - -811. Solve u + 5*c - 5 = a, 5*u + 3*c = -2*c + 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263624487 to the power of 1\/3, to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/(-6) + -2)\/(-1). Let m = 9.1 - 9.1. Suppose 4*l = -4*b - 0*b + 32, 20 = 5*b. What is the nearest to m in o, l, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 6*b + 2. Suppose -8*k + 32 + 16 = 0. Let t be i(k). Solve -2*p - 4*j = 2*p, -t*j - 8 = 4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**3 - 98*s**2 - 511*s + 27156. Give t(25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2567121.\nAnswer: 3, 149, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 14*j**2 + 13*j + 6. Let l(v) = -v**2 + 4*v + 19. Let r be l(-4). What is s(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/10 - 8\/40. Let i(b) = 9*b**2 + 4*b + 3. Let v(k) = 26*k**2 + 12*k + 8. Let f(h) = t*v(h) + 8*i(h). What is the second derivative of f(c) wrt c?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.64 + 0.54. What is the third smallest value in 1, -3\/10, g, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.2, -1\/3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3 + j + 21 + 4. Let x be v(0). Let t = x + 1. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1240, 1241, 1242, 1243?\n\"Answer: z + 1239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 13*g + 2. Let s be q(15). Suppose h + s = 2*h. Let o = h + -19. Calculate the remainder when 25 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 154 or -1485?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**5 - x**5 + 0*x**5 + (0*x**3 - x**3 + 2*x**3)*(-25*x**2 + 50*x**2 + 19*x**2).\nAnswer: 46*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10201 + -113?\nAnswer: 10022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, s: 1, l: 6, x: 3, n: 2}. What is prob of picking 1 j and 1 n?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -482*m + 483*m = 5*t + 28, 2*t + 4*m + 20 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9 - 676*o**4 - 6 + 66*o + 5 - 8 wrt o?\nAnswer: -8112*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/8 of a day?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times -16\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*g - 29006 + 9742. What are the prime factors of g?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 252680, 505427, 758306, 1011383, 1264724, 1518395, 1772462?\n\"Answer: 11*n**3 + 252670*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*r - 4*h = -166*r + 5, 3*r + 3*h = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**2 + 3*u + 5. Let x(h) = 3*h**2 + 4*h + 6. Give -7*w(q) + 6*x(q).\nAnswer: -3*q**2 + 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(800)*3 + sqrt(800) - sqrt(800)) - -4*(sqrt(17) - (sqrt(425) + 4)).\nAnswer: -479*sqrt(17)\/30 - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/36)\/(44\/(-176)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 108.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/4)*h*h*(h*h**(-3\/2)*h)\/h*h**(-3)\/(h*h*h\/(h*h**(10\/3))*h))**(2\/43))**(-42) assuming h is positive.\nAnswer: h**(119\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2175*i + 108655 - 56455 = 0 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6691272 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (33 + -37)) + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2028, -1926, -1754, -1512, -1200, -818, -366?\n\"Answer: 35*d**2 - 3*d - 2060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27267 is divided by 1878.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 10 - 2 = 0. Suppose 0 = 3*t + 4 + 2. Sort n, -4, t in increasing order.\nAnswer: -4, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 12123, 4 in decreasing order.\nAnswer: 12123, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -16 - 2*y**2 - 31*y + 14 + 32. What are the prime factors of f(-10)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwsccccseenccseseesg. Give prob of sequence wg.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 5:26 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 * 9\nAnswer: -1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 1)*(-3*n + 3*n - 2*n**2) - 5*n**2 - 5*n**2 - 31*n**2 - 27 + 27 - 6*n**2 + (-3 + 5 + 0)*(0*n**2 + n**2 - 3*n**2) + 4*n**2 + n**2 - 3*n**2.\nAnswer: -51*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -370.61843 + 367.418. Let d = 14.2 + -11. Let p = d + n. Round p to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - (-2 + 2)) + 1. Suppose -2*p + 5*o + 21 = -0*p, -3*o - 31 = -s*p. What is the remainder when p is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49524.\nAnswer: 2, 3, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2234*f = -3*b - 2229*f - 83, -4*f = b - 63 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**3*x**2 + 23*o**3 + 249546376*x**4 + 9314765*x wrt x.\nAnswer: 4*o**3 + 2994556512*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**2 + 5*c - 18. Is q(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335008 is divided by 643?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-1)*z)**(3\/14)\/(z**(1\/3)*z*z**(-1)))\/(z*z**1*(z\/z**(-3\/2))\/z*z*z**6*z**(-4\/7)) assuming z is positive.\nAnswer: z**(-202\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43682009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-51)\/(-12))\/(2\/8). Suppose 0 = 2*v - 5*h - 11, 0*v + 2*v - 3*h - j = 0. Suppose 0 = 2*d + 3*d - 185. Calculate the remainder when d is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1433624 (base 7) to base 13\nAnswer: -6a067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 15*a + 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*b**3 + 177*b**2 - 1452*b + 1248.\nAnswer: 3*(b - 4)*(b - 1)*(9*b + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 325 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 2756135850.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5298 and 1423914.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-90)\/4*1 + (-10)\/20. Sort -3\/46, 1\/5, x in decreasing order.\nAnswer: 1\/5, -3\/46, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 108 = 2*d. Suppose x - 108 = 4*j, -3*x + 2*j + 268 = 4*j. Let c = 65 - x. Is d less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -8, -0.4, -14, 13, 0.4, 2\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 80143686 and -0.4?\nAnswer: 80143686.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhqhqqh. What is prob of picking 2 q?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/1107288 and -1\/252.\nAnswer: 1107288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 - 1\/(-1) - 6. What is the hundreds digit of 190536\/252 + f\/(-42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xuus when four letters picked without replacement from uaxuausuu?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(324)*-1).\nAnswer: -sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 15*i + 19. Determine d(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1051.1, 4, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -1. Let x = 307 + -307.5. What is the closest to c in -1\/3, 5, x?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 0 + 0*c + 1\/2*c**3.\nAnswer: c**2*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((6\/5)\/(72\/27))\/(3\/5). What is the closest to 34 in 1\/9, i, 2, 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11403, 22713, 34015, 45303, 56571, 67813?\nAnswer: 79023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.16 rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**5\/20 + v**4\/2 + 4*v**3\/3 + 3*v**2 + 3*v. Let p be (-11 - -1)\/(4 - 2). What is m(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(100\/24)*(0 + 20\/8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**22*z\/z**(-8) assuming z is positive.\nAnswer: z**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6 + 15981*q**2 - 2 + 148*q - 2 - 76*q**3 - 16061*q**2 + 6.\nAnswer: -4*(q - 1)*(q + 2)*(19*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = x - 166, -3*j - x = -2*x + 100. Let i = j + 34. Let k(a) = -a**3 - a + 4. Let p be k(0). Solve 3*q - i - 1 = -5*z, 0 = -z + 3*q + p for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290 = -5*y + 5*x, -5*y - 4*x = -0*x + 326. Let j = y - -246. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8.00316 at least -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) -0.32 (c) 3 (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19046 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 8:47 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.233046 grams to micrograms.\nAnswer: 9233046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) 144 (c) 0.4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 878836799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 28597276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 15. Let a = w + 10. What is the second derivative of -t**5 + 2*t**2 + 6*t - a*t**2 + 5*t**2 wrt t?\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y. Let c = 10 - 5. Let k(z) = 2*z**2 - 5. Let f(o) = -4 + 22 + 6 - 9*o**2. Let b(i) = c*f(i) + 24*k(i). Determine q(b(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**3 - 154348*t**2 + 6029979381*t - 5704766639370 = 0. Calculate t.\nAnswer: 970, 76689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (0 + 9 - -2)) + (10 - 12 - -48)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -5. Let w = k - -2. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-7)*(-2)\/4. Let w = 3 + -6. Let a = w - -2. Sort -9, a, d.\nAnswer: -9, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4 = 3*w. Let x(a) = a**3 + 7*a**2 + 6*a - 2. Let r be x(-7). Let y = r + 59. What is the remainder when y is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -174 or -171?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-1\/15)*v*v**(7\/6)*v)\/(v**(-7\/5)*v*v**(-2\/11)) assuming v is positive.\nAnswer: v**(125\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.37706g to micrograms.\nAnswer: 33377060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1539.9 + 1694. Let l = 162 - o. Round l to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3027*a - 3019*a - a**3 + 9071*a - 3025*a.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21a - 30?\nAnswer: 1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/303 and -53\/18681.\nAnswer: 1886781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 10*d + 16. Let y be w(-19). Let x = -75 - y. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -1\/90*d**6 - 4\/9*d**3 + 8\/3*d**2 - 15*d + 2\/15*d**5 + 0 - 5\/12*d**4. Suppose y(x) = 0. What is x?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -1 - (3 + 7 + -9 + -9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 10*s + 438. Let n(v) = 18*v + 877. Let j(f) = -11*k(f) + 6*n(f). List the prime factors of j(0).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-2) - -1 - 9737691\/27. Let c = j + 360036. Let u = -619 - c. Calculate the common denominator of u and 145\/66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4403 + 5380. What is the remainder when w is divided by 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5698451 a multiple of 1358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xdxxuxxdxx. Give prob of sequence uxd.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-18 - -40) + -22?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 6*j**2 - j + 7. Give c(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24.6 - 4.4. Let d = x + 18. Which is the closest to 0? (a) 3 (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**4 - 7*u**3 - 8*u**2 + 8*u + 70. Is 15 a factor of b(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 1)*(0 + 2 - 4)*(3 - 2 - 5)*(-90*u**2 + 171*u**2 - 87*u**2) in the form n*u**2 + z + p*u and give n.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/(-3) + (-12)\/(-9). Let i(h) = -2*h - 8. Let z be i(-11). Solve 3*o - z = -b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -913*q - 111.\nAnswer: -913","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -448*i + 3. Let f(z) = -4032*z + 28. Give 3*f(k) - 28*x(k).\nAnswer: 448*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 3)\/((-3)\/(-4)). Suppose -2*m = -4*l + 2*m, -8 = -r*l + 2*m. Suppose 7*q - l*q - 12 = 0. Solve -q = 2*d + 4*v, 2*v = 2*d - 15 + 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m + 1 + m**2 + 1 + 4. What is l(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84 - 335\/4. Let r(o) be the first derivative of 1\/3*o**3 - m*o**4 + 1\/2*o**2 + 0*o + 5. What is r(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 51686*v. Let n(z) = -z**2 - 106. What is x(n(m))?\nAnswer: -51686*m**2 - 5478716","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22872 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30638 - -33487. Calculate the remainder when 8554 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 4239610.\nAnswer: 2\/2119805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007288 to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1920 and 3080320.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -216 - -323. Suppose d - 95 = 4*o. Differentiate -3 + 64*p**2 - 45*p**2 - 10 + o wrt p.\nAnswer: 38*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37905, 75697, 113489, 151281?\nAnswer: 189073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 2*i = 32, 53*u - 57*u - 3*i - 52 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70 + 166. Suppose 3*h = g + 48. Suppose 2*j - h = -j. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/78 and 40\/1066233?\nAnswer: 27722058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25*(35 + 4248\/(-120))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.88, 2\/15, -3068?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.23 - 40.27. Let i = n - 2.6. Round i to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09091194 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37897731 bigger than 37897731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 times -26?\nAnswer: -1664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**3 - 6*p**2 + 6*p - 1. Suppose -7*j = 4*j - 33. Let w be b(j). Which is smaller: w or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -277805 + 277808. Factor -3\/8*r**y - 1\/8*r**4 + r + 3\/4*r**2 + 0.\nAnswer: -r*(r - 2)*(r + 1)*(r + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4561*k - 1997728. Give l(-438).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 12. Let n be i(13). Let f(r) = -r**2. Let d(k) = k**2. Let x(u) = n*f(u) + 4*d(u). Let s(l) = 2*l**2. Give s(x(h)).\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/((i*i**(2\/5))\/i)))**(-1\/29)\/((((i*i**2)\/i)\/i)\/(i*i**(5\/2)*i)))\/(((i*i**(2\/9))\/i)**(-25\/4)*(i**(-1))**14) assuming i is positive.\nAnswer: i**(24632\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*t**2 - 141*t**4 + 8*t**2 + 0*t**2 + (t**2 + 3*t - 3*t)*(9*t**2 - 6*t**2 + 4*t**2) as n*t**4 + u + y*t**2 + f*t**3 + p*t and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 7*o + 1. Let r be s(6). Let u be ((-30)\/r)\/((-2)\/14). Let q = 4 + 1. Solve 4*w + w + u = q*d, 0 = -4*d - w + 14 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5552147 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 12:28 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -102 + 369. Let l = j - 166. Which is bigger: 102 or l?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1522 - 1100401?\nAnswer: -1102323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 6:44 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 4*f - 2704, 2122 + 580 = 3*r - 5*f. Is r a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 683.7 - 935. Let w = p + 234. What is w rounded to 0 decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*a + 48 = 38*a. What is the remainder when 108 is divided by (736\/(-96))\/(1*2\/a)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -14*k + 1. Suppose j = -j + 2*h - 14, 0 = 3*j + 2*h - 4. Let o be 1\/(j\/8 + 0). List the prime factors of i(o).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 174 and 726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 0, -44, -130, -258?\n\"Answer: -21*d**2 + 19*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143410011 divided by -2381.\nAnswer: 60231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -15134.877\nAnswer: -6053.9508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 - 16*m**4 - 9*m + 17*m**4 + 2 + 10*m + 1 + 66*m as u*m**4 + a*m**3 + r + q*m**2 + c*m and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((4\/(-8))\/1). Suppose 2*o - 20 = -j, -z*j - o = -21 - 16. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2 + t - 1. Let g(n) = 9*n**2 - 2*n + 129. Calculate -g(w) - 5*h(w).\nAnswer: w**2 - 3*w - 124","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*x - 139*x**2 - 10*x**3 + 139*x**2 in the form h*x**2 + u*x**3 + y*x + k and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -19*k + 369. What is t(26)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/((-77)\/(7084\/(-138)))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-11))\/(232\/2552). What is the highest common divisor of 3012 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 8. Suppose 25 = -4*n - 3*a - 10, 0 = -4*n - a - 33. Let s be h(n). Sort -2, s, 1 in ascending order.\nAnswer: -2, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, h: 4, u: 6, k: 3, d: 1}. What is prob of picking 1 d, 1 k, and 1 n?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**4 - 1061440*v**3 + 2*v**2 + 1072142?\nAnswer: 24*v - 6368640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -95045\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8020 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -5*w - 2*o, -3*w - 22 = -5*w - 3*o. Suppose 0 = 4*n - w - 6. Suppose n*j - 93 = 2*j. What is the remainder when j is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(4\/7)*i**(-10\/3) assuming i is positive.\nAnswer: i**(-58\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 414 and 1728.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 29*a - 271. Let h be ((-144)\/(-208))\/(2\/26). Determine t(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2852699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9 + 8)*1 + (-7)\/(-8). What is the smallest value in 122, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-9074)\/(-50820) - (-13 + (-792)\/(-60)) and 67\/297.\nAnswer: 45738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by 2520185\nAnswer: 54\/2520185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13449894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.38967, -4, -1?\nAnswer: 0.38967","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - k - 83. What is d(0)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 at most -111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 473 + 1855 = -194*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2*y - 1\/3*y**2.\nAnswer: -y*(y - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 11 (b) -2\/65 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**6\/40 - b**5\/20 + 17*b**3\/2 - 15*b**2. What is the derivative of c(g) wrt g?\nAnswer: 9*g**2 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dogdwdggrgwrggddw. What is prob of picking 2 r?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 6*u**3 + 2*u**2 + 6*u - 6. Let a be 2\/((-2 - 3)\/10). Let s(l) = 5*l**3 + 3*l**2 + 5*l - 4. Let r(w) = a*d(w) + 5*s(w). Give r(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 5*a**2 + 3*a + 1. Give u(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (0 - (-8)\/12)*18 and 297?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.817762 centimeters in meters?\nAnswer: 0.04817762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, o: 5, f: 3, n: 2, e: 1}. Give prob of sequence ef.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 360 + 389. Let m = -2 + d. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7)*t**(-4)*t**(-2\/17)*t**(4\/23))**(10\/9) assuming t is positive.\nAnswer: t**(-42790\/3519)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -50 and 74392828.846?\nAnswer: 74392878.846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*b**3 + 726*b**3 - 2650*b + 2 + 752*b**3 + 2650*b.\nAnswer: 1284*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -41.99 equal to -0.099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 6:19 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2. Let q(c) be the third derivative of 11*c**4\/24 + 7*c**3\/2 - 1013*c**2. Determine t(q(o)).\nAnswer: -121*o**2 - 462*o - 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907330063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4844682\/11 or -440426?\nAnswer: -440426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-4)\/2*498\/(-1992)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-396)\/(-96) - 5\/40\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 1418*u + 53520.\nAnswer: 2*(u + 40)*(u + 669)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + -17 + (14 - 23) + 28?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/5705817 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*t - 221 - 78. Calculate the smallest common multiple of t and 9.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480.4488 microseconds in hours?\nAnswer: 0.000000133458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*n + 109*n**3 + 90*n - 33*n**3 + (2*n + 0*n - 3*n)*(-2*n**2 + n**2 + 0*n**2) - 2*n**3 + 3*n**3 - 4*n**3 as z*n**2 + w*n + f + p*n**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4110206.127 rounded to the nearest one hundred thousand?\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 65696209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 97. Let h = 59 - x. Factor 5*p + h*p**2 - 5*p**3 + 16*p**2 - 9*p**2 - 10.\nAnswer: -5*(p - 2)*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + w + 1. Let x(f) = -14*f**2 - 28*f - 28. Give 28*d(o) + x(o).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 2*p**2 - 1. Calculate the smallest common multiple of 9 and u(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(1452)*5 - sqrt(1452))\/(sqrt(324)*-3*6 + sqrt(324) - sqrt(324)).\nAnswer: -44*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**3 - 4*r**2 - r + 4. Let t be f(-3). Suppose 3*z - 3*o + 10 = t, -128 = -4*z - 5*o. What is the remainder when z is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16607 - 696a?\nAnswer: -22476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1454396 to the power of 1\/2, to the nearest integer?\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yiii when four letters picked without replacement from iiiiiyiiyii?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -5*d**3 + 10*d**2 - 9*d + 7. Let w(x) = x**3 - x**2 + x. Let k be 144\/96*(-4)\/(-6). Let r(s) = k*c(s) + 4*w(s). Give r(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 2030 = -7*k. Calculate the remainder when k is divided by 63.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*q**2 - 11*q + 65*q - 4*q**2 - 11*q - 39*q.\nAnswer: -35*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 3:21 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -181 (base 14) to base 10\nAnswer: -309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 221234 by 110617.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 837 is divided by 93.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002323742328 to 6 decimal places.\nAnswer: 0.000232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7356939.\nAnswer: 3, 2452313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -354*t**2*u**3 - 261*u**3 wrt t.\nAnswer: -708*t*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1521446149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 6*z - 2*z + 52, -2*z - 58 = 4*q. Let t be ((q\/5)\/4)\/((-6)\/75). Let s(v) = -6 + 1 - t*v**2 + 5. Let w(f) = -3*f**2. Calculate w(s(b)).\nAnswer: -300*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, t: 1}. Give prob of picking 2 b and 1 t.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*b - 4887530 + 4891474 = 0 for b.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**3 + 2*h**3 - 4*h**3)*(-21 + 7 + 6)*(6 - 1 - 3) - 3*h**3 + 2*h**3 + 0*h**3.\nAnswer: -33*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6657 - 6654) + 2 + (60 - (-2 + 2))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, q: 1, u: 1, t: 6, r: 3, i: 5}. Give prob of picking 2 r.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 7:30 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g. Determine d(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 h when two letters picked without replacement from {k: 1, o: 3, r: 4, h: 5, i: 4, z: 1}.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365625.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**6\/120 + j**5\/10 - j**4\/12 + 4*j**2. Let r be x(-4). Let a = -37 + r. Solve 0 = a*k + 2*f + 6, -6 = 3*k + 4*f - f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -247*t**6 - 182*t**2 wrt t.\nAnswer: -29640*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**6\/120 - 2*o**5\/15 + 5*o**4\/8 + 2*o**3 + 45*o**2. What are the prime factors of t(9)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 - 1. Let t(q) = -q**3 - 3*q**2 - 4*q - 2. What is the remainder when d is divided by t(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -129, -5, -2, 4\/5, -0.4 in decreasing order.\nAnswer: 4\/5, -0.4, -2, -5, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1955 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48435*f**5 + 3*f**3*p**2 - f**2*p**2 + 7026*f*p**2 + 3*f*p wrt f.\nAnswer: -2906100*f**2 + 18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -4 + -23 - -10 - (-81 - -17)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + 22)*(12\/6)\/(-2). Let j = -6 - -3. Sort -1, j, i in decreasing order.\nAnswer: -1, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t + 15. Suppose f - 4*f + 5*c + 5 = 0, c - 22 = -4*f. What is the units digit of i(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**3 - 6628*t**2 + 2768700*t - 19057500 = 0.\nAnswer: 7, 825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9409 + 20287. What is the remainder when d is divided by 191?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 66 = -3*o, -5*n + 4259 - 4376 = -2*o for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4293.8192 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.67 + 3.7. Let n = q + 29.97. Let p = 29.4 - n. Which is the closest to p? (a) -1 (b) 0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 3*n - 4*n + (n - 5*n + 2*n)*(265 - 449 - 490).\nAnswer: 1345*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 1:00 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 2*r + 14 = 0, 5*n - 16*r = 25*n - 12*n - 11*n + 60 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2880) - (sqrt(150)\/sqrt(6))\/sqrt(5)) + (sqrt(180)*-6 - sqrt(5)) + 2*sqrt(720).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - -57. Let s(k) = k**3 - 6*k**2 + 8*k + 5. What is the remainder when s(6) is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55 (base 6) to base 16.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 101, 201, 341, 521, 741?\nAnswer: 1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-192)\/(-240))\/(1\/(-15))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a - 16 = 0. Suppose -60 + 8 = -a*b. Suppose -c + 11 + b = 0. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*j + 4*y, 4*j - 5*y + 11 = 24. Let v(w) = -8*w + 10. Give v(j).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*r - 90 = -10, -m - 5*r = -28. Solve x = -3*j + 1, -x - m = -5*j + j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212233 (base 8) to base 11.\nAnswer: -49224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uduuudk?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 325.0039ml?\nAnswer: 0.3250039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 24*z - 43590 = 0. Suppose 0 = m - 2*h - z, 7*m - 4374 = 4*m + h. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a milligram in micrograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41? (a) -2 (b) 30 (c) 4 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 2*c + 1338 = 1319, 23 = -5*l - 4*c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8565 - 8532. Suppose -5*n - 3*g + 1047 = -4*g, -10 = 5*g. Calculate the highest common factor of n and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 105379560 to the nearest 1000000.\nAnswer: 105000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6*a**2 - 9*a. Let g(p) = -p**3 - p**2 + 6*p + 9. Let k be g(-3). Let s(d) = 5*d - 4*d - 3*d**2 + 4*d. What is k*s(w) + 5*x(w)?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from weeeneewewewe. What is prob of sequence new?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 207 and 38753022?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from {f: 7, h: 7}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 0.09, 0.3, -0.3, -37 in ascending order.\nAnswer: -37, -0.3, 0.09, 0.3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/517883 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 35 = -11*i, -42*i - 50 = 4*u - 41*i. What is the common denominator of 2\/(-7) + (-332)\/(-35) and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1.49 (b) 3 (c) -3\/4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 163*p - 159*p = -4, 0 = l + 5*p + 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t**3 - 3*t**2 - 4*t + 1. Let j be n(-2). Find the third derivative of -j*m**3 + 15 + 21*m**3 - 31*m**3 + 2*m**6 + 32 - 14*m**3 - 2*m**2 wrt m.\nAnswer: 240*m**3 - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -978, -972, -964, -954?\n\"Answer: r**2 + 3*r - 982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 430 = -69. Let q = 36 - 591. Let a = g - q. List the prime factors of a.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 12. Let l = -4 + n. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585464 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 356.1 - 255. Let b = -101 + n. Let x = 0.08 + -34.08. Which is greater: x or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(68) - (-4*(2*sqrt(68) + sqrt(68) + sqrt(68)) - sqrt(68))) + sqrt(68)))\/(-3*sqrt(576)*3).\nAnswer: 19*sqrt(17)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = -9*l - 402. Let d be -5*(-3)\/120 + l\/88. Which is smaller: d or 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3348 is divided by 1114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9\/704 + 22555\/2112. Solve -26*q**2 - 112\/3*q**3 + h*q**4 - 8\/3 + 58\/3*q = 0 for q.\nAnswer: -1, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a - 6. Let b be j(4). Let d = 3 - b. Let c be ((-2)\/6)\/(d\/3). Put 0, -2, c in descending order.\nAnswer: 0, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8121\/4 - 2030. Which is the nearest to 1\/2? (a) w (b) -6 (c) -1 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5*2*sqrt(720)*-2)**2.\nAnswer: 288000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 5*d**2 + 3*d + 18. Does 12 divide n(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 6*z**3 - z**2 + z - 1. Let q = -47 + 48. Determine r(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 13, 79, 3, -31?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 0.05, 0.2, -1\/183, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-25)\/(-30) + (-2)\/4. Suppose -w + 4*y + 6 = -13, -5 = y. Let z = -4.3 - -4. Which is the smallest value? (a) w (b) z (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1930?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -64*(1\/(-3))\/(3\/(45*(-16)\/160))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7793, -2843 in decreasing order.\nAnswer: 7793, -3, -2843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 92753976.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -675*d - 51303. Calculate s(-76).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2 - 5*y + 3. Let q(t) = t**2 - 2*t + 1. Let a(p) = 4*j(p) - 11*q(p). Let z be a(-4). What is the highest common divisor of 36 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/6 + 1296*b - 933915\/2.\nAnswer: (b - 345)*(b + 8121)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.14845489 and 26.8.\nAnswer: 26.65154511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -101110000100000010011 (base 2) in base 7?\nAnswer: -15554366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/11, -0.23, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/9*-4*15\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 2*y**2 - 480112*y - 8. What is s(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*v - 4*v + 90. Let h = 16156 - 323047\/20. What is the common denominator of h and (-30)\/(-4) + 4\/v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 - 147*q + 41*q**2 + 147*q + 203*q**2.\nAnswer: 242*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23\/10 - 71\/20. Let k = -903 - -906. Let h = 134.2 + -134. What is the third biggest value in h, p, k, -11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.941 less than 482808.458?\nAnswer: 482809.399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 143 or -178.2?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 22\/9, -4, 3, 0.1, 59?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -210*t**3 + 77*t**2. Let z(p) = 11*p + 330. Let d be z(-37). Let i(q) = -11*q**3 + 4*q**2. Determine d*i(x) + 4*h(x).\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 8*f + 7. Let c be m(9). Suppose 3*a = a + c. Let q(w) = 8 - a + 3*w. Give q(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (-8)\/2)\/1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**2\/11 + 388*i\/11 - 1182\/11 = 0.\nAnswer: -197, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 250\/(-15) + (-5)\/15. Which is smaller: t or -15?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -8. Let a(y) = y**2 - 7. Let z(q) = -3*q**2 + 136*q - 50. Let x be z(45). Determine x*c(n) + 6*a(n).\nAnswer: 6*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 22906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148\/(-238) + 4608\/(-19584).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 9:52 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 581*s - 1525. Let n be c(3). Solve -n = 59*i + 18 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*(sqrt(91)*-3 + sqrt(91)) + 6*sqrt(91)*-3)\/((sqrt(448)*3 - sqrt(448)) + -3*sqrt(14)\/sqrt(2)).\nAnswer: -112*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.23 and 0.5861599704.\nAnswer: 0.8161599704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7482 and 174?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 260, 1032, 2340, 4190, 6588, 9540?\nAnswer: 13052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1126383884.\nAnswer: 2, 31, 9083741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/3)\/(k**(-1\/3)*k)*(k**0)**(-35))**(10\/9) assuming k is positive.\nAnswer: k**(-10\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - -0.2. Let j = h - 0.1. Suppose -4*f = -2*f + 10. What is the nearest to 0.1 in -3, j, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -115*h. Let l(b) be the second derivative of -b**3\/6 + 4*b + 1. Calculate q(l(p)).\nAnswer: 115*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 2a73?\nAnswer: 2a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/70*((-570)\/(-304))\/((-102)\/8).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, j: 2}. Give prob of sequence jj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.050278t to grams.\nAnswer: 2050278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 2:59 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 4667?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 5*w + 5. Let i(p) = 3*p**2 + 18*p + 18. Let j(t) = 18*g(t) - 5*i(t). Let s(q) = -q**2. Give j(s(x)).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -i - 6*i - 5*i as c*i + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 18888824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19941*h - 16913*h - 40300*h - 45134*h - 8.\nAnswer: -82406*h - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660375?\nAnswer: 3, 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*b - 3*b = -264. Let j = -9 - -13. What is the derivative of 0 + 5*d**j - b*d**4 - 1 wrt d?\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -103\/3, 3, -0.294, 9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -11. Let k(c) = 24*c + 6. What is the units digit of k(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22530 and 2280.\nAnswer: 1712280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 3:40 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 101620249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 2*k + 10, 4*r - 21 = 3*k + 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5734 - 5734 - 966*x.\nAnswer: -966*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4d + 1?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 1 - (-8 + 3). Let j(o) = -2 - 3*o**2 + 5*o - 5 + 2*o + 2*o**2. Calculate j(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-860)*-129*(8\/2)\/2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 866877.\nAnswer: 3, 11, 109, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-3)*(43 - 3811\/148)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-675)\/(-702)*5\/(-25)*(-3)\/(-15)\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47\/2 - -23. Let t = 1\/6 + w. Which is the nearest to -0.1? (a) 5 (b) -1\/12 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*(l**3\/l)\/l*l)\/l)\/(l*l**(2\/9)))\/((l\/(l*l\/(l**(-3\/8)\/l))*l)\/(((l**(-5)*l)\/l)\/l)))\/((l**(2\/3)\/l)**(-19)\/(l*l**(2\/3))**(1\/3)) assuming l is positive.\nAnswer: l**(-77\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -349, -21, 363, 797, 1275, 1791?\n\"Answer: -t**3 + 34*t**2 + 233*t - 615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -52, 5, -2, -1\/8, -3\/7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22537.8 rounded to the nearest 100?\nAnswer: 22500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4379, 2, 36, -0.7 in ascending order.\nAnswer: -0.7, 1\/4379, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10822 (base 10) to base 7.\nAnswer: 43360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25659163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -991148 + 147148. Round i to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (116\/174*(-9)\/1)\/8.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.1 - 5.1. Let t = -1234 - -1238. Sort h, t, -3\/5.\nAnswer: -3\/5, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(637) - (1 + sqrt(1053))**2.\nAnswer: -1054 - 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 16363978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o - 4 + 3 + 0)*(5 - 1 - 2).\nAnswer: 14*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(68) - (-5 + sqrt(17)*1))*5.\nAnswer: 20 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckcckccccck. What is prob of picking 2 k and 1 c?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -12 + 102. Let s = -16 + x. Let y = 11 + -3. What is the remainder when s is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*(x**(-2\/7)\/x)\/x))**(2\/47)*(x**(-2\/3))**(-2\/35)*(x*x**1)**(-25\/3)\/(x**(-5\/6)*x*(x*x\/(x*x**6))\/x) assuming x is positive.\nAnswer: x**(-105589\/9870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52639717?\nAnswer: 13, 139, 29131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*b = 349*b + 40 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (1 + -2) - -4 - -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/10*2*-5*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zoukncc. Give prob of sequence zk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88547 + 90153 = -73*s for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -29*m**3 + m**2 + m + 1. Give s(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 9 - 20 - r**2 + 14. Let m be x(0). Find the common denominator of m - (159\/(-36) + -3) and -67\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 614159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 4*z**4 - 35556*z**3 + 105423444*z**2 - 104473780236*z + 623055112344 = 0.\nAnswer: 6, 2961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*(-1 + -4 + 6). Solve 0 = 5*u - 20, 5*v = g*u - 7 - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 2*j + 2, x - 60 = -5*j - 64 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 252*q**3 + 167832*q**2 + q + 607. What is k(-666)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55 - 20 - 21)*(18*d**2 + 6*d**2 + 6*d**2).\nAnswer: -2880*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*g - 12 = 0, 2*g - 6 = -2*x + 4*g. Let b = -3 - x. Suppose 24 = z - 4*z. Which is smaller: b or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -g - 32, -3*v = -4*v - 5*g - 16. Let i be 12*2\/(0 - v). Suppose 0 = 2*n - 4*n - i*y + 120, -3*n = y - 165. Round n to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2849704 a multiple of 1222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 10:58 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(182) - sqrt(182)*1)\/sqrt(7) - sqrt(26))\/(sqrt(10)\/(sqrt(20) + sqrt(5)) - sqrt(2)) + 0).\nAnswer: 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - m - 4, 16 = 4*z - 53*m + 49*m for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.9 - -14. Let y(v) = 7*v**2 - 1. Let w be y(-1). Let j = -3 + w. Which is the second smallest value? (a) k (b) j (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 73, 133, 249, 439, 721, 1113, 1633?\nAnswer: 2299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -439570*3.1.\nAnswer: -1362667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1585 - 42*i - 1585 + 20*i + 16*i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1888)\/(-144) - 13)*(-192)\/(-8). Solve 0 + 0*p + 4\/3*p**5 - 2\/3*p**2 - 10\/3*p**4 + l*p**3 = 0 for p.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1557050, 23 in increasing order.\nAnswer: -1557050, 6, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66 by -6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-21)*-5)\/(4\/(-28))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 10:41 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -125 - -1084. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -11496*i. Let w(m) = -4*m**2 - 706*m. Calculate o(w(s)).\nAnswer: 45984*s**2 + 8116176*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 3*w - w + 20 = 0, 5 = 3*k + w for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 1. Let n(u) = -1. Let b(g) = 5*n(g) + 2*s(g). Let t be b(-5). Let f = t - 4. Solve -i - f*i - 12 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*q - 10*q - 6*q + (0 - 2 + 0)*(4 - 4 + 2*q))*(-6 + 2 + 3)*(-3706*q - 4443*q + 8964*q)*(6*q - 2*q - 5*q) as a + i*q**2 + p*q**3 + m*q and give p.\nAnswer: -1630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 75*(2\/(-2) + 0). Let w(r) = 948*r + 4730. Let d be w(-5). Is (-956)\/d + 45\/m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -235*p**2 + 21*p + 23. Let t be v(-16). Let q = 655473 + t. What is q rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 156?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o + 34. Let a be d(6). Suppose 21 + a = 5*s. Find the second derivative of 4*p**4 - p + s*p**4 - 6*p - 6*p wrt p.\nAnswer: 108*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -5176192\nAnswer: 1\/5176192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 46.37244 nanometers?\nAnswer: 0.00004637244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 101, 115, -3, -6.\nAnswer: -6, -3, 3, 101, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 125\/4? (a) -10 (b) 4 (c) -1\/9 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -89596, -174947, -260298, -345649, -431000?\n\"Answer: -85351*g - 4245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 12) to base 8\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(19) + sqrt(228)\/(sqrt(12)*-6)).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121600, -234026, -346454, -458884, -571316, -683750, -796186?\nAnswer: -908624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 20. Let g be t(-15). Let z(u) = -u + 17. Let m be z(15). Suppose g*l - 4*p + 16 = l, p = -m. Let y(a) = -a + 5. Calculate y(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -25*o**3 + o. Let k be 2\/(-7) + 1130\/35*1. Suppose k*n + 5 = 27*n. Calculate w(n).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23516 - b2?\nAnswer: 23424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10251*f + 10242*f = 0. Solve -4*c + 3*d + 2 = f, -d - 10 = -12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2652\/(-468)*6\/(-10).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*x - 54 = 0. Let p be x\/30 - (-2)\/(-5). Suppose h = -1 - 3. Which is the second smallest value? (a) p (b) -0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 3*g - 3, h + g - 5 = -4*g. Let f = -89 + 92. Suppose 0 = -f*u + 5*z + 18, -5*u + 20 = -0*z - 5*z. Solve h = l + u - 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3027030786 to three decimal places.\nAnswer: 0.303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(25) + (sqrt(2025) - (sqrt(2025) - -6*sqrt(2025))))*-5)\/((sqrt(320) - sqrt(320)*-4)*2 + sqrt(320)))**2.\nAnswer: 351125\/7744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.2 (b) -18\/31 (c) -10 (d) -1 (e) 28 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 3170 + 377 = 0. Suppose -5*j + i - 24 = 0. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 + 23*d - 5. Let m(q) = -2*q**2 - 23*q + 4. Determine 5*m(n) + 4*y(n).\nAnswer: -2*n**2 - 23*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q - 1. What is the remainder when (6 + -18)\/24*-70 is divided by z(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(44)\/sqrt(36) - sqrt(1331)*-2) - (sqrt(11) - (sqrt(396) + -1) - (-2 + sqrt(44)\/sqrt(4))))**2*5.\nAnswer: 1830*sqrt(11) + 204700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -531900 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -14*s**2 + 3*s - 3. Suppose -5*l + 2 = -3. Let w(o) = -o**2 - o. Let m(f) = l*j(f) + 3*w(f). Differentiate m(v) with respect to v.\nAnswer: -34*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-2) + (-3 - -35). Let a be h*-1*(-5)\/10. Let l = 28 - a. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**3 - v**2 - v + 1. Let m be a(1). What is the derivative of -7*i - m + 0*i + i wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-68 - (-5871)\/114).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(147)*1*4 + -5 - (sqrt(147) + (sqrt(147) + -1 - sqrt(147))*-3 - (-2 + sqrt(147) + 2))))**2.\nAnswer: -16128*sqrt(3) + 86976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 4*s**2 + 2*s + 1. Determine y(5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-16)\/4)\/(-4))\/(-5). Which is the second smallest value? (a) g (b) 0.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 25, 5*h - 2*k = -9 - 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 403852851*c**3*r - 162736*c**2*r + 47*c**2 - 2*r wrt c.\nAnswer: 2423117106*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -1 - 5*w + 4 + w**4 - 3 - 7*w**3. Let a(x) = 6*x**3 + 4*x. Let k(p) = -7*a(p) - 6*y(p). What is the second derivative of k(g) wrt g?\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -1259?\nAnswer: -1264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(2) - sqrt(12))**2 - (sqrt(3) + -1 + sqrt(12)).\nAnswer: -3*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.46837299 to 4 dps.\nAnswer: 0.4684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**2 - 2*y**2 + y**3 - 3*y**4 + 0*y**3 + 2*y + y**3 to the form m*y**3 + n*y**4 + i*y + u*y**2 + p and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22 - -6?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3501 - -0.7501. Is p equal to 3\/619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48598\/31 - 1568. Suppose k + r + 6 = 0, k = -2*k - r - 8. Which is smaller: k or o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/9)\/(10\/(-360)). What is the units digit of 1*(-1 + 0 - 19440\/c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1050864232 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37841.\nAnswer: 79, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427*v + 1557*v + 212288 = 0 for v.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 19593718.75 to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*w**2 + 136*w**4 + 12*w**2 - 122 - 152 + 347*w**4 wrt w?\nAnswer: 1932*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 - 16*h + 10. Let y(l) = -4*l - 18. Let n be y(-7). Is 6 a factor of t(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 6*l + 2. Let i be o(-4). Let u = 20 - 22. Let p(z) = z**3 + z**2 + 2*z + 2. Let n be p(u). Is n less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 106?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(76)*1 - sqrt(76)) + sqrt(76))\/sqrt(4) - (3*(sqrt(38)\/sqrt(2) + -3))**2)*-4.\nAnswer: -220*sqrt(19) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*11\/(((-2)\/16)\/(42\/(-504))).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6172 is divided by 1299.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(12)\/sqrt(2))\/(sqrt(30)\/(sqrt(90)\/sqrt(9))).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -9*n + 6. Let w(k) be the second derivative of -k**3 + 2*k**2 - 28*k. Determine 5*o(c) - 8*w(c).\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gp when two letters picked without replacement from {l: 2, m: 7, g: 1, j: 1, p: 2, s: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 572970 and 74763.\nAnswer: 201112470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(9\/(0 - 3)). Suppose 2*w + 2 + 4 = q. Let i be ((-1850)\/3)\/(w\/(-18)). Round i to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2804 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -293904, -293843, -293732, -293565, -293336, -293039, -292668, -292217?\n\"Answer: c**3 + 19*c**2 - 3*c - 293921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2183 by -67.\nAnswer: -2183\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -226, -250, -294, -358, -442?\n\"Answer: -10*o**2 + 6*o - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llppllzjzlljlllllpp. What is prob of picking 1 z and 1 l?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*-4*-1 + (7 + -1 - 10). Calculate the highest common divisor of n and 39972.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7046 divided by 3.\nAnswer: 7046\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8849*h**5 - 5*h**4 - 122016*h**2 wrt h.\nAnswer: -530940*h**2 - 120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801450 a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f. Let m(n) be the second derivative of n**3 + 2*n**2 + 3*n. Let h(o) = 7*o + 5. Let q(u) = -4*h(u) + 5*m(u). What is l(q(i))?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 16, 1, 15, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -903.28264\nAnswer: 900.28264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36*v*x**2 - 3840128*v + 984*x**2 wrt x?\nAnswer: 72*v*x + 1968*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from csvvkgs. Give prob of picking 1 s and 1 k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2937 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**2. Let j(h) = -4*h**2 - 943*h + 2. What is j(y(x))?\nAnswer: -36*x**4 - 2829*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*g + 16460, -25747 = 5*x - 5*g - 9287. Is -3293 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**2 + 0 - 2*n - 3\/4*n**4 + 7\/6*n**3. Let b(q) = 8*q**2 - 6*q + 2. Let v be 1\/((2\/1)\/14). Determine v*b(x) + 6*k(x).\nAnswer: 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/2)\/((-1)\/2). Suppose -6*x - 119 = 11*x. Is d at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 1309117348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2 - 4*r. Let f(o) = -7*o**2 - 2*o**2 + 7*o**2 - o**2 + 3*o. Give 2*c(y) + 3*f(y).\nAnswer: -y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -o - 190, 144*y + 5*o - 184 = 141*y. Let g be (-7)\/(-2 + 0 - -1). Calculate the greatest common divisor of y and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**4\/20 - 443*n**3\/15 + 889*n**2\/10 - 89*n - 2353. Suppose v(d) = 0. Calculate d.\nAnswer: -445, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 89*u**3 + 215.\nAnswer: 267*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -5. Let j(s) = s - 7. Calculate j(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9412081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 10*b - 218. Let m be p(22). Sort 20, m, -6 in descending order.\nAnswer: 20, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -y - 20, -3*y = -4*a - 15. Suppose a = -t - 2*t - 21. Let f(z) = z**2 + z + 8. What is the remainder when f(t) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -8. Let d = -5.7 + w. Which is the nearest to -1\/2? (a) -0.3 (b) -1\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + f = -l + 35, f = 2*l - 61. Suppose -3*c + l + 22 = 0. Calculate the lowest common multiple of c and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g. Let w(v) = -8*v - 16. Let f be w(-4). Let z = f + -8. Let j(q) = 2 - 2 + z*q - 2*q. Determine t(j(h)).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z. Let q be h(0). Suppose 4*r - 2241 + 29 = q. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n**2 - 4*n**2 + 0*n**2 + (3*n**2 + 5*n - 5*n)*(2 + 1 - 2) - 6*n**2 + 4*n**2 + 3*n**2 + 191*n**2 - 29*n**2 - 513*n**2 as j + y*n + r*n**2 and give r.\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24037 is divided by 79?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(-1\/4)*q))**(-41\/5)*q**(-1\/5)*q*q*q*q**(-2\/15)*q)**(3\/13) assuming q is positive.\nAnswer: q**(167\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -7396.\nAnswer: -1\/1849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -13151634 divided by -1?\nAnswer: 13151634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -4\/11 (c) -5 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 63 (b) 1112 (c) -9 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 0*t**4 + 0 + 0*t + 0*t**3 + 3\/4*t**5 + 9*t**2. What are the prime factors of h(-1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000168 rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1118940 rounded to the nearest ten thousand?\nAnswer: -1120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(7))**2 + 2 - ((sqrt(3)*1 - sqrt(3)) + 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 787, 5739, 19085, 45019, 87735?\nAnswer: 151427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 >= -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 11:32 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(90) - 1*sqrt(90))\/sqrt(10) + (sqrt(108) + sqrt(108) + (sqrt(108) - 2*sqrt(108)))\/sqrt(12))\/(5*4*sqrt(75)).\nAnswer: sqrt(3)\/100 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3762033608 to two dps.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297914805000*y**3 - 595886730600*y**2 + 114243938*y - 5476 = 0. Calculate y.\nAnswer: 37\/385950, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7676 and 1190654?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18657 - 11428. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1505180.35 to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 320541583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 280343 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 1, -14.\nAnswer: -14, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3369, -6358, -9345, -12330?\n\"Answer: i**2 - 2992*i - 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((80\/35)\/(-4))\/(1\/(-7)). Let x be (-2 + 3\/(-6))*-218. Suppose -323 - x = -h*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 10 = y + 4, 0 = -5*y - 5*m. Let d = 6 - y. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 18 = i, -8 = -2*i - 3*a + 64. Suppose -7*c = -5*c - i. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((((-60)\/25)\/(-4))\/1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52878755.\nAnswer: 5, 17, 622103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 427353.2 weeks?\nAnswer: 258463215360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 - 0.1. Let i = -0.37 - h. Let f be ((-16)\/(-60))\/(2\/5). Which is smaller: i or f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqdqqqqqddqdqqqd. What is prob of picking 3 d?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -162 + -8. Let t be ((g\/(-6))\/(-5))\/(4\/(-12)). Suppose -n = 2*f - t, 0 = -3*n + 2*n - 5. Solve -p + 4 = 2*z - f, -3*z + 20 = p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (52\/65)\/(2\/(-40)). Let n = -9 - s. What is the remainder when 18 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158433753?\nAnswer: 3, 52811251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 + 3 - 3. Suppose -1 = 2*l - 1. Let j(i) = -2*i + l*i - 9*i. What is h(j(y))?\nAnswer: -242*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 3:20 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54.91464 + 55.15. What is n rounded to 3 decimal places?\nAnswer: 0.235","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 331392 divided by 4.\nAnswer: 82848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000088939 to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 60 = 4*m, 3*m = 5*j - 51 - 17. Let h be (m\/(-3))\/((-6)\/(-279)). Let x be (-1)\/(-1)*1 - h\/341. Which is smaller: -2\/9 or x?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/154437354 and -53\/37062.\nAnswer: 154437354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/1053 and 86\/9975.\nAnswer: 3501225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*i*r**3 - i*r**2 - 10*i*r - 1697*i + 2402369*r**4 + 63*r + 7 wrt r.\nAnswer: -186*i*r - 2*i + 28828428*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 1352810.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000111100002 (base 3) to base 15.\nAnswer: -aa528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -44 + 303?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 187\/102*15*(-3)\/462*-8.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 23 - 1 = -4*y, 2*s - 5*y - 5 = 0. Let l = 832.401 - 833. Let t = l + 0.099. Which is the closest to 2? (a) t (b) 4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 713, -8, -6, 2, 268.\nAnswer: -8, -6, 2, 268, 713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 - 31*j**2 + 2 + 2*j + 2*j**3 + 30*j**2 in the form f*j + b + o*j**2 + s*j**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 v when three letters picked without replacement from {s: 1, v: 7, q: 2}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 607111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 7*m - 35. Solve 2*s = 4*k, -s + 1 = 2*k - m for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202260921.\nAnswer: 3, 67420307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(304)*1.\nAnswer: 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12 + 11)\/((-2)\/4). Suppose -m*q = -8 + 28. Let u = -9 - q. Sort -1, u, 2.\nAnswer: -1, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -7*j + j. Solve 0 = -3*u - 0*m + m + 2, j = -m - 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**3 - 3*c**2 - 42*c - 5. Give i(-5).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 932013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1351179305 to the nearest integer?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1002375 and 0.5.\nAnswer: -0.05011875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -48 + 128. Let z = y + 36. Suppose -z = 3*v - 55. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14002 is divided by 1260?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**4 + 30*i**3 + 16*i**2 - 3360*i + 6400 = 0.\nAnswer: -20, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 - 2*r**2 - 18*r + 70. What is d(9)?\nAnswer: 1204","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is -135 (base 15) in base 3?\nAnswer: -101012","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: What is the common denominator of -139\/793308 and 63\/10?\nAnswer: 3966540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -2. Suppose v + 0*v = -3*h - 76, h + 3*v + 36 = 0. Let o = 29 + h. Solve w*a + 27 = o*n, -2*a + a + 3*n = 13 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -3109?\nAnswer: -6218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219133.\nAnswer: 219133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -616 - -616.00471. Round n to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*101\/2121.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, s: 1, p: 18}. Give prob of sequence ks.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 18*x**3 - x**2 + x. What is the remainder when 51 is divided by o(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -530 - -531. Sort -0.3, -3\/7, -3, d in descending order.\nAnswer: d, -0.3, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k - 13. Let x be b(8). Calculate the greatest common divisor of x and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1650*z = -63385 + 2335 for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - 14. Let w be (s - -2) + 1 + -4. Let p = -12 + w. Sort -4, p, -0.1 in descending order.\nAnswer: p, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15886751 is divided by 188?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5}. Give prob of picking 3 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/60 and -35\/4512.\nAnswer: 22560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b*p*r**3 + 2*b*p*r + 5*b*r**3*x + 126*b*r**2 + 893*p*x - 2*r**3*x wrt p?\nAnswer: -2*b*r**3 + 2*b*r + 893*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/304867 or -1?\nAnswer: -2\/304867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6036642 + -12?\nAnswer: -6036654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/60 and 59\/1750?\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 15*u + 2*u**2 + 13 + 5*u**2 - u**3 - 16*u. Let p be d(7). Solve f = -f + p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 4486.36734 minutes?\nAnswer: 0.445076125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9\/25 of a tonne?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3)\/t)**41*((t*t\/t**(-6\/11)*t)\/t)\/(t\/t**(6\/7)) assuming t is positive.\nAnswer: t**(-12073\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 384772, 384742, 384712?\nAnswer: 384682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1 + -6 + 10 + -14 + 50\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zepzppp. Give prob of sequence ppzz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2749?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -4. Suppose 0 = -3*g + 13 - x. Suppose 49 = g*f - 2*t - 37, f - t = 23. Solve -f = -4*q - q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4*(-1)\/(-3)*(-8949)\/(-19) is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184248 divided by 3?\nAnswer: 61416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 26*j**3 + 91*j**2\/2 + 157*j - 41. Let s(g) be the first derivative of y(g). What is the derivative of s(d) wrt d?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 120*k + 477. What is q(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*u - 3*u = -5, 25 = 2*w + 3*u. Suppose 3*s - w*s = 0. What is the units digit of (-180)\/(-105)*(s + 28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7234.\nAnswer: 2, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*-0.082946.\nAnswer: -0.0497676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6998 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5 = 27. Let d = 8 + y. Solve 0 = 3*x - d*x + k + 18, 5*x + k + 28 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-3*(sqrt(17) - (1 + sqrt(17))) + 3*(0 + sqrt(17)))*5)**2*3.\nAnswer: -36450 - 4050*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**4\/12 - r. Suppose 3*u = 5*o - 6, 2*u + 2 - 20 = -4*o. Let q(g) = g**2 - o*g**2 + g**2. Calculate q(i(k)).\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-7)\/4*16\/16 - -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/((-765)\/150)*6*(-4)\/(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**5 + s**5 - s**5 + (-3*s - 2 + 2)*(-s**4 + 0*s**4 + 0*s**4) + 2*s**5 + s**5 - s**5.\nAnswer: 4*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 21. What is r in -48*r**5 + 8*r**3 + 4*r**2 + 51*r**4 - 7*r**4 - 3*r**l - 5*r**2 = 0?\nAnswer: -1\/3, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 11. Let u be t(-14). Let i = u - 19. List the prime factors of (465\/(-10))\/(i\/(-4)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8946012.\nAnswer: 2, 3, 17, 43853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/((-10)\/472) + -3. Let j = 379 + a. Is j a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**3\/5 + 364291*b**2\/5 - 2185719*b\/5 + 655713 = 0.\nAnswer: 3, 364285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.6 + 0.9. Let n = y + 0.9. Let l be 0 - (0 + (-2)\/(-10)). Which is the smallest value? (a) 0.3 (b) n (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1, -27, -63, -103, -141, -171, -187, -183?\n\"Answer: s**3 - 11*s**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**11*c*c)*c**(-3\/10))\/(c**(2\/5)\/c*c*c**5) assuming c is positive.\nAnswer: c**(-177\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 26*a - 1. Let d be f(-26). Let r be 8\/(-28) - 1\/((-14)\/(-136)). Let p be -1*2\/r + (-4)\/220. Is p less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -42. Let o(a) = -a - 6. Let i be o(-6). Let s = 16 - i. What is the smallest common multiple of n and s?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**6\/60 + b**5\/30 + b**4\/24 - 3*b**2 + 5*b. Let g(p) be the first derivative of q(p). What is g(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1823.\nAnswer: 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1257355 to 4 dps.\nAnswer: -0.1257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0\/g)**(-30)*g**9\/g**(-5\/6))**(-2\/5) assuming g is positive.\nAnswer: g**(-239\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(3\/4)))\/f*f*f**(2\/17))\/((f**(2\/7)\/f)\/f**(-2\/13)))\/((f**(2\/3))**(29\/2))**(-25) assuming f is positive.\nAnswer: f**(4484965\/18564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.026337888966 to 3 decimal places.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -n. Let d(g) = -12*g + 23. Let x(t) be the first derivative of -19*t**2\/2 + 34*t - 75. Let s(m) = 8*d(m) - 5*x(m). What is s(n)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 + 59*q - 326. Let v be a(18). Is v not equal to 0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 - (7 + -39 - -52)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*i + 7. Let c = 184531 + -184531.05. What is the nearest to i in 0.4, 2, c, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231528720 rounded to the nearest one hundred thousand?\nAnswer: 231500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + sqrt(1008)*2 + sqrt(1008) + 3 - (sqrt(1008) + -2 + 3 + (sqrt(1008) + (sqrt(1008) + 0 - sqrt(1008)) - sqrt(1008) - sqrt(1008))*5))**2 + -3.\nAnswer: -672*sqrt(7) + 49405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 - j**2 + 0*j**2)*(5*j - 4*j + 0*j - j + 0*j - j + j + 0 + 0 + 5*j - 6*j - j + (-5 + 4 + 3)*(-j - j + j) - j - 82 - 91 + 137).\nAnswer: 10*j**3 + 72*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2786 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: What is the greatest common divisor of 180 and 30060?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.142 + 1.682. Let i = 0.36 - p. What is i rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(sqrt(7) - -4*sqrt(7)) + 3)**2.\nAnswer: 6*sqrt(13)\/5 + 238\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -137.938 - 0.562. Let r = f + 139. Which is the closest to -5? (a) r (b) -1 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -52500 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a, -35 = -5*p - 9*a + 6*a. Solve 30 = p*x - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 382*v - 190. Let n be a(-27). Let k = n - 1116. What is k rounded to the nearest 100?\nAnswer: -11600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**8\/2240 - j**5\/60 - 4*j**2. Let c(u) be the third derivative of r(u). Let k(o) = -2*o**2. Give c(k(b)).\nAnswer: -36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 515615670?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, y: 4, k: 2, n: 7}. What is prob of sequence nk?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 90563?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 3005371.\nAnswer: 12021484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 - ((8 - (44 - 36)) + 138).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 - 2*x - 5. Let z(i) = -3*i**2 - 3*i - 9. Suppose 0 = 4*l - 5*l - 5*t - 13, -26 = 2*l - 4*t. Let a = -8 - l. Calculate a*h(b) - 3*z(b).\nAnswer: -b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 8*b + 0*b - 4*b - 2*b - 4*b. Let s(u) = -3*u**2 - 4. Determine s(y(v)).\nAnswer: -12*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + 4*(sqrt(121) - (sqrt(121) - sqrt(121)*2 - sqrt(121))))\/(sqrt(11) + (sqrt(110) - sqrt(110)*-1)\/sqrt(10)).\nAnswer: 13*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*t**2 - 20*t**3 + 2*t**3 - 66*t**2 + 35*t**2.\nAnswer: -18*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-30)\/(-4))\/5)\/((-264)\/176)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1585 - 3*t**2 + 17935910*t - 17935910*t)*(3 - 3 + t**2).\nAnswer: -3*t**4 + 1585*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -1274 and 0.3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u - 16. Let g be a(8). Suppose -2*s - 22 + 24 = g. Is s > -4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -4. Let m be (z\/(7\/((-7)\/2)))\/(-1). Let b(c) = -c + 13. Let r be b(10). Solve 0 = -m*o + r*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -4*v**4\/5 - 1299240*v**3 - 32480876*v**2\/5 + 7795416*v = 0.\nAnswer: -1624045, -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-2)\/(-4)*13. Suppose -4*j + 3*j = -b. Is 1 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25020055 (base 7) in base 13?\nAnswer: -605860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 80\/12*(120\/16)\/5. Calculate the greatest common divisor of z and 270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10102100 (base 3) to base 16\nAnswer: -9bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -196387, -785735, -1767981, -3143125?\nAnswer: -4911167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120166.\nAnswer: 2, 60083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 7*y**2 - 5*y - 5. Let n(i) = 2*i + 1. Let a be n(2). Let q be c(a). Let s be (4 - 11) + 13 + -2. Solve q = s*k + k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 41. Suppose 17 = 2*y + x. Suppose -5*z + 17027 = -4*p, y*p + p + 10213 = 3*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**3 + 117*h**2 + 2444*h + 13248 = 0.\nAnswer: -92, -16, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c*x**3 - 5403*c + 2969*x**3 - 3*x wrt x?\nAnswer: -18*c*x + 17814*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjyejyyetj. Give prob of picking 1 e, 1 j, and 1 t.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.25168 decades in centuries?\nAnswer: 4.625168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g - 5. Let o be h(-1). Solve a + a + 2 = o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/((sqrt(36)*-1)\/sqrt(3)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - j**2 + 3*j**2 + (3*j + j - 2*j)*(3*j - 7*j + 0*j))*(j**3 + 4*j**3 - 4*j**3) + 5*j**5 - 5*j**5 + 2*j**5.\nAnswer: -4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 9*s**6 + s**3\/3 - 24*s + 16. What is the third derivative of c(x) wrt x?\nAnswer: 3240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 97\/3*r**3 - 147 - 1\/2*r**4 + 58*r + r**2. What is the second derivative of w(c) wrt c?\nAnswer: -12*c + 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 1:40 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w + 19*w - 4 + 30*w - 15*w to the form o*w + f and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-354)\/4071*(54418\/(-13))\/14?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -3)\/(2\/(-5)). Sort a, 3, 6 in descending order.\nAnswer: 6, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3332 at most as big as 29995\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than 9159944689112?\nAnswer: 9159944689112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 9*r**2\/2 - 3*r - 1. Let q be 48\/21 + (-4)\/14. Is o(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 + 2580*k + 332820.\nAnswer: 5*(k + 258)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-76)\/57)\/((-2)\/(-6)). Let k(f) = -2*f + 3. Let u(h) = h - 3. What is a*k(y) - 3*u(y)?\nAnswer: 5*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 16*c**2 + 54*c + 26. Let d = -7871 - -7890. Give f(d).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 9:45 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*f + 3*u = 66, -4*u = 2*f - 32. Let a be (f\/(-5))\/(18\/(-855)). Suppose -3*r + a = 3*w, 4*w = -r + 19 + 22. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b - 54 - 18 - 62 = 34 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is -26865 divided by 1791?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -173975958 by -27.\nAnswer: 6443554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1450416 divided by -35376.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 2. Let r(f) = -f**2 - 4*f - 4. Let g be r(-4). Let k = g - -3. Let s be 2 - (k - (-3)\/3). Determine c(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1074*o*q**4 - 20*o - 20*q**2 wrt q?\nAnswer: -25776*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/65? (a) -0.033 (b) 0.2 (c) -3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*m + 2*k + 19, -4*m + 5*k + 18 = 0. Solve -q = -0 - m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -j - 5*w - 10, 8 = 2*j - 4*w. Solve b - 3*b - 13 = -3*g, j = b + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*u = 14. Let d = -16 + u. Let m be d\/(-3) + (-9)\/135. What is the third biggest value in -0.4, m, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -15.5. Let t = 3 - v. Let f = 3.7 + 1.3. Which is the third biggest value? (a) -2\/7 (b) f (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1201 (base 3) in base 14?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 46 + 6*a + 4*a**2 + 3*a**3 - 4*a**3 - 50. Let n = 7 - 2. What is y(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -55*o + 21*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (-65)\/(-10))*(-4)\/9. What is the hundreds digit of 768\/1 + 5 + a + -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-972)\/(-1458))\/((-88)\/(-60))?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 266587.7 weeks in milliseconds?\nAnswer: 161232240960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2172 or 3\/11?\nAnswer: 2172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 472533 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*k + 3*g = 115, k = -g - 47 + 48 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 2. Let d = -0.1 + -4.9. Let f = 7 + -4. Which is the second smallest value? (a) x (b) d (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 13 = -2*f + 1, 0 = 4*f + 4*w - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71175501 is divided by 76.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 7*z - 2*z - 329, -2*y - 5*z - 157 = 0. Calculate the remainder when 31 is divided by 6\/(-4) - y\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3657 > 3654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -0*v - 3*u - 16, -2*v = -2*u - 10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 269679041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.36 - -6.14. Let j = -5.387 + a. What is j rounded to two dps?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 593.5626 months?\nAnswer: 0.04946355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 67261051, 134522102, 201783153, 269044204?\n\"Answer: 67261051*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**3 + 53*l**2 + 23*l - 52. Let b be z(18). Is -0.03 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 410314112?\nAnswer: 410314102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2345?\nAnswer: 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*(-9)\/5 - (-13)\/(-65). Suppose d*h - 905 = 313. What are the prime factors of h?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1955825 to the power of 1\/2, to the nearest integer?\nAnswer: 1399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 - -22262?\nAnswer: 22261.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125914 - -97215. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15 - -5)*(-1)\/(-2). Let a = 32 - 17. Suppose -a*z + 22*z = 105. What is the highest common divisor of z and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x + 44. Let i be s(22). Let t = 398\/9 + i. Let o = 45 + -45. Which is the smallest value? (a) t (b) -0.3 (c) 1\/11 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 9:16 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 14820.\nAnswer: 14820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 3:38 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i. Let b(m) be the third derivative of m**5\/15 + 3*m**2. Give b(k(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/10 - 1\/((-5)\/2). Let u(h) = 2*h**2 - 2. Let m be u(4). Suppose r*w = -2*w + m. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + (26292896\/16 - -10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 7*v = -2*v + u - 6, -5*u + 0 = -45 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -16501058.\nAnswer: -1\/16501058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 74\/9 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175930 = -14*h + 58430. What is h rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126)\/28)\/(-3)*6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i**4 + 2*i**4 - i**4)*(4 - 5 - 1)*(6 + 4 - 18) to the form x*i**2 + b*i**3 + p*i + o*i**4 + v and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 458273 to the power of 1\/2, to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1 + sqrt(1377))*-2 + -4)**2*-3.\nAnswer: -16572 - 432*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 23. Suppose 2*k - q + 39 = 0. Does 8 divide (20\/3)\/((-5)\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.200924744 and 109.\nAnswer: 108.799075256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 119 + 143?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 7034?\nAnswer: 1\/7034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*b. Suppose b = -4*q - 0*q + 24. Let f be (21\/3)\/(2\/q). Solve -3*j + 15 = 2*n, -5*n + 3 = 3*j - f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 11*c = 560. Suppose z - 1040 = -3*v + c, -5820 = -5*z - 3*v. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - 6*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yiy when three letters picked without replacement from {m: 3, i: 7, g: 2, y: 8}?\nAnswer: 49\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 665556 and 9546?\nAnswer: 28618908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 9*o**2 - 7*o + 11. Let y be h(-8). Suppose -y*n + 2 + 28 = 0. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 1 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 4 - (-45 + 44).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5102336 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 1:48 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 4:52 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.163 or 0.09?\nAnswer: -0.163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 24*t = -69 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1398?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*b. Let h(q) = -q + 2. Let k be h(b). Let y(f) = -4*f**k + 0 + 1 + 10*f**2. Determine y(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 5)*-1 + -5898. What is b rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.0924, 5\/11 in ascending order.\nAnswer: -0.2, 0.0924, 5\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20316.22 nanograms to grams.\nAnswer: 0.00002031622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1369.8834 + -1502.88417. Let b = -133 - o. What is b rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73200, 73176, 73152?\nAnswer: 73128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**5\/l**(-10)*l*l**(12\/17)\/l*l*l**(-1\/2)*l assuming l is positive.\nAnswer: l**(585\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m + 431 - 160 - 135 - 136. Let t(q) = -777*q. Give z(t(b)).\nAnswer: 3108*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38304221 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -2\/3, -2, 10\/9, -5\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3062 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: Does 73 divide 899141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 11475*o**3 - 636*o**5 + 326 + 274 + 250*o**4 + 4660*o + 12330*o**2 - 1239*o**5 = 0.\nAnswer: -5\/3, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74798, -74823, -74848, -74873?\nAnswer: -74898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141904453 and 7569?\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 35. Calculate the remainder when 61 is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 + 9*u - 16. Let y be k(-6). Let w be ((-1)\/2)\/((-3)\/6). Put w, y, -5 in decreasing order.\nAnswer: y, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4446*u - 2404*u**2 + 1451656 + 195587 + 2407*u**2 = 0 for u.\nAnswer: -741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/4 + -3)*-1. Solve -s + 3*s + 4 = j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 72520\/(-70) - (1 + -4). Let p = o + 1238. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112413245 (base 6) to base 7\nAnswer: 23505446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*n - 5*n**2 - 22*n + 4*n**2.\nAnswer: -n**2 + 41*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.9 and 1998797.5437.\nAnswer: 1998793.6437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 35717.75l in millilitres?\nAnswer: 35717750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/(-1085))\/(((-15)\/(-2))\/(-5)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, j: 2, f: 2, v: 1, c: 1}. What is prob of sequence fdv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 262477485 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-188832)\/128*8\/(-6) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is (-1346)\/(-5) + -3*1\/15 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72 + 120. Let k = 64 - q. What is the remainder when 19 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2388607636?\nAnswer: 2, 597151909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -862 + 157232*x**4 + 2*x**3 - 157490*x**4 - 2*x**3 wrt x?\nAnswer: -1032*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114325.\nAnswer: 5, 17, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2331.9 + -2332. Which is the closest to i? (a) -0.8 (b) -3 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 4. Suppose 2*l + 12 = -5*s, 0 = 4*s - 3*l + 7 - 2. Is a(s) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/251623900 and 89\/442740.\nAnswer: 754871700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 3:07 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 653613569?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p**3 - 11*p**2 + 13*p. Let u(t) = -2*t**3 + 6*t**2 - 7*t. Give -11*u(x) - 6*z(x).\nAnswer: -8*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 44465 (b) 1.1 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 30*t - 197. Let n be o(10). Suppose 7*j = -5*g + 5*j + 6657, 0 = n*g + j - 3995. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 49149 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.223894411 to three dps.\nAnswer: -0.224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*s + 64*s + 54*s + 43*s + 34*s - 21*s + (2 + 1 - 4)*(-2*s + 0*s + 0*s) in the form x*s + g and give x.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p + 0*p - 4*p + (0 + p + 0)*(-430 - 583 - 2107)*(0 - 3 + 2).\nAnswer: 3119*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*m - 3*m - 1105 = 0, -3*g - 4*m = -1090. Let d = g + -365. What is the lowest common multiple of 8 and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-3\/13))\/((g\/g**(-9)*g)\/g*g))**(-2\/9)*(g\/((g*g**1*g*g)\/g*g))**(3\/17)*g**(-1)\/(g\/(g*g**(-1\/8))) assuming g is positive.\nAnswer: g**(9851\/15912)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 2*g - 1. Let y(n) = -6*n**3 - 4*n**2 + 12*n + 12. Let h(z) = 5*i(z) + y(z). What is h(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 5 + ((1 - 10) + 15 - 5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 3\/4*s**2 + 0*s - 3 - 7\/4*s**3. Factor c(t).\nAnswer: -3*t*(7*t - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c + 12. Let a be f(10). Solve 5*t - 3 = -2*x, -3*x - 2 = -4*x - a*t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.83, -0.5, -11\/48, -4 in ascending order.\nAnswer: -4, -0.5, -11\/48, 0.83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - 1\/2*-6. Let o be (2\/2)\/(t - 6). Sort o, -2, -1\/10 in increasing order.\nAnswer: -2, o, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88143649?\nAnswer: 11, 223, 35933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 38 - 19 - 59*l to the form f + p*l and give p.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4771.99 + -4749. Let a = r - -0.01. Is -1 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, z: 2, d: 1, w: 4, q: 1}. Give prob of picking 1 d and 3 w.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 467398437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3 = -t, -30*t + 31*t = -z + 13. Solve -j = 3*o + 13, 0 = -2*j - 2*o - t + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 34*v + 1. Let x be l(31). Suppose -3*r + 73 - 220 = -3*z, 2*z + 8 = 0. Let q = r - x. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -12821\/1002?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.23468696 rounded to two decimal places?\nAnswer: -8.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 8:26 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven quarters of a kilogram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 537 and 1317.\nAnswer: 235743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(6\/7)*t**(-3))**(-2\/21) assuming t is positive.\nAnswer: t**(40\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*(sqrt(612) + 1 + sqrt(612) + 0 + (sqrt(612) + 0 + sqrt(612))*1 - (-1 + 1 + sqrt(612) + -5)))**2*-1.\nAnswer: -88700 - 3456*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1430.9 + -2.71311107.\nAnswer: 1428.18688893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -3300223?\nAnswer: -3300222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3 + 14\/(-6). Let n be ((-12)\/9)\/((-20)\/45). Suppose -4*t - 3 = -n*t. Is q != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzszt. What is prob of picking 1 p and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - a)*(-1009 + 71*a + 1005 + 13*a).\nAnswer: -84*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, v: 3, e: 6, c: 2}. Give prob of picking 1 z and 2 e.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 2. Give i(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 7*a**2 + 3*a - 3. Calculate r(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = q + 4*m - 3, m - 7 = -2*q. Suppose -5*h = -5*g + 65, -2*g - q*h = -4*g + 20. Let d = g + -16. Solve i - v = 3*v - 19, -5*v + 20 = d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(98\/(-33)))\/((-5382)\/(-4186)).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**2 - 17 - 9 + 1 + 64*r**3 + 25*r**3 wrt r.\nAnswer: 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d. Let p(g) be the first derivative of 0*g**2 + 2\/3*g**3 + 3 + 0*g. Give p(q(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4199, -13424, -28803, -50336, -78023, -111864, -151859?\nAnswer: -198008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3 = -g - 9, 0 = g - 5*y - 15. Suppose -5*k + 11 + 9 = g. Find the third derivative of -2*s**2 + s**2 + 2*s**2 - s**k wrt s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.104 + 147.104. Let l = p + -136. Which is the third biggest value? (a) 0 (b) l (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 6*f**2 + 7*f - 6. Let l be h(5). Suppose -l*r - 8 = -6*r. Suppose 0*m - 140 = -r*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96413 + 96292.6856. Let c = p - -127.00911. Let z = c + -6.69. Round z to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.38, 0.5, 137, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -104\/11 and -9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/16 and (-20 - -3) + (-4)\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -906*t**5 + 29*t + 169*t**3 - 358*t**3 + 189*t**3 - 8*t**2 + 19*t wrt t.\nAnswer: -54360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - (2 - (-1)\/(-1)). Let f(q) = b*q - 4*q + 0*q. Let y(c) = 2*c**2. Give f(y(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1848, -7, 3, 88, 4 in descending order.\nAnswer: 88, 4, 3, -1, -7, -1848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 91*y**2 - 5*y + 894 + 10*y - 35*y**2 - 39 - 10*y wrt y.\nAnswer: 112*y - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 1, 16 in decreasing order.\nAnswer: 16, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 9) to base 4\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) -3 (b) 5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/(g\/(g\/(g*g**(-4\/13)\/g))*g))*g*g\/((g\/(g\/g**17))\/g)*g assuming g is positive.\nAnswer: g**(-160\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*o = -14*o + 1785 - 432 for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -4 - 4 - (-101 - -1 - (-51 + 31))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 138.8926 - -33790473?\nAnswer: 33790611.8926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 43. Let s(a) = -8*a**2 - 15*a. Let q(b) = 6*b**2 + 10*b. Let o(i) = 3*q(i) + 2*s(i). Give n(o(z)).\nAnswer: -2*z**2 + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 385 and 4345.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.015 + -0.02. Let m = 0.007 - f. What is m rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -100*y**2 - 8*y + 17. Let s(f) = -5 - 6*f + 4 - 99*f**2 + 0 + 18. Let w(t) = -2*p(t) + 3*s(t). What is the second derivative of w(j) wrt j?\nAnswer: -194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10676*6.\nAnswer: 64056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -162 and -163 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(40)*-2*4)\/(3*sqrt(968)*1) + -2.\nAnswer: -16*sqrt(5)\/11 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + sqrt(19) + -5*(sqrt(171))**2) + (sqrt(76)*2*1 - (-3 + sqrt(76) + (sqrt(76) - (1 + sqrt(76)))))**2 + -3.\nAnswer: 11*sqrt(19) + 4344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 689451583?\nAnswer: 89, 991, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = x + 3*x. Let j be (-6*x*(-3)\/(-3))\/(-2). Which is the nearest to -2? (a) j (b) 1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 81*b**2 + 74*b + 454. Calculate u(80).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 2023563?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3125611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 14*u + 4*x + 880 = 0, x + 5 = 0. Does 26 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggeiippiiipip. What is prob of picking 1 g and 1 e?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 15) to base 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.97036 to two decimal places.\nAnswer: 0.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 f when two letters picked without replacement from {r: 1, d: 4, n: 5, s: 5, a: 1, f: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 5. Suppose 4*a - 7 - 1 = 0. Factor f**r - 3*f**a - 4*f**3 + 2*f**3.\nAnswer: -2*f**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-5)\/(5\/4). Let f be i\/(-24) - 23\/(-6). Do 4 and f have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(363) - (sqrt(363)*-2 - sqrt(363)))**2 - (sqrt(363)*-1*-1 + sqrt(363)).\nAnswer: -5808 - 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -15.1, -1\/4, -8378, 0 in descending order.\nAnswer: 0, -1\/4, -0.3, -15.1, -8378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 7 - (-7 + (27 - 13))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -729*l**3 - 5*l - 713*l**3 + 8*l - 3*l + 1421*l**3.\nAnswer: -21*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*o - 20 = 23*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-85007*w + 744 - 376 - 1111 + 743)*(3*w**3 + 0*w**3 + w**2 - 2*w**3) to the form u*w**3 + k*w + q*w**2 + h + t*w**4 and give t.\nAnswer: -85007","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82 and 55763.\nAnswer: 4572566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2149 is divided by 78.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2*h - 45. Find the common denominator of 47\/(-15) - 10\/h and 50.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -1\/688, 1\/5, 13, -0.2, 10.6?\nAnswer: -1\/688","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6493*a**5 - a**2 - 18*a wrt a.\nAnswer: 389580*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.9 - 12. Let r = 1.89999922 - w. What is r rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316515689 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 58 + -3 + -46.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 4*j)*(3*j**2 + j**2 - j**2) - 2*j**3 + 4*j**3 + 3*j + 0*j**3.\nAnswer: 14*j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from wmvmwxvzwmxzwmxwmem.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 188088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 6:34 PM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**2 + 3*i**2 + 0*i**2 + (-21*i + i + 95 - 92)*(2*i - i + 0*i) as a*i**2 + p + w*i and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**3 - 7*y**2 - y + 2. Let h(o) = -o**2 - 2*o**2 + 4*o**3 + 4*o**2 - 3*o**3. Let a(l) = 3*f(l) + 15*h(l). Solve a(g) = 0 for g.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2. Let v(t) = 6*t - 2. Let q be v(3). Let w = -13 + q. Determine d(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**3 - 7*v**2 + 4*v + 12. Let x be m(-4). Let u = x + 94. Which is bigger: u or -149?\nAnswer: -149","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 137.6 + 2.4. Let m = u + -127. Is m at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -479 or -481?\nAnswer: -481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382153?\nAnswer: 401, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -127019, -126982, -126945, -126908, -126871, -126834?\n\"Answer: 37*g - 127056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4383 and -0.14.\nAnswer: 613.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1165634264?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62 or -47?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25.707 - 26. Let u = b + -0.095. What is u rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 140025368 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 384444329?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v**2 - 3*v**2 + 53*v + 44*v + 50*v - 206*v + 43*v.\nAnswer: -12*v**2 - 16*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -1 - v**2 - 66*v**3 - 3*v + 35*v**3 + v. Suppose -2*i - 1 = -i. Is t(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6*u**2 - 172*u - 22. Give q(-6).\nAnswer: 794","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.648738 years to months.\nAnswer: 103.784856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 58103796.\nAnswer: 58103796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 3:56 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 29 (b) -0.2 (c) -0.1 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*o - 3135 = 62*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/4*248\/(-155).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 8. Let k be z(7). Let t be 35\/(-3)*3\/k. Let a = t + 49. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from cczzyvvccfyv.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**2 + 8*b + 1. Let p(r) = 3*r**2 - 7*r - 1. Let n(v) = 3*p(v) + 2*z(v). Let k = 2512 + -2507. Give n(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 15) to base 9\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r - 5194 = -5114 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k + 24 = 21*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.3 - -1.3. Let z = -2.1 - 2.6. Let f = z + 5.2. Put 6, f, x in decreasing order.\nAnswer: 6, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -6*k - 5 - 8 - 8*k + 3*k + 12. Determine c(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 2:06 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 920292335607 minus -0.5?\nAnswer: 920292335607.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -585*l**2 + 7*l**3 + 21*l**2 + 54*l**2 - 2*l**3.\nAnswer: 5*l**3 - 510*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 352721 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/3172 and 49\/2056.\nAnswer: 1630408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1982073 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + 18855 = -j + 19059, 2*z - 64 = -6*j for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 126 = 22. Suppose 3*y - 2 - 7 = 0. Solve -y = -2*o - m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2152 + 2155. Let v(s) = 2*s**2 - 5*s. Let n(q) = 2*q**2 - 4*q - 1. Give x*n(w) - 2*v(w).\nAnswer: 2*w**2 - 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -11 - (-2 - -7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 19101082 divided by -47047\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -398169027.6998539 + 398169209.8. Let h = m + -182.1. Round h to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18404160 and 1920?\nAnswer: 36808320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 459593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -26*k - 3. Is a(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/5 - 18*t\/5 - 36\/5.\nAnswer: -2*(t + 3)*(t + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-22)\/(-363)*22*6660.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 8*p - 5. Let i be (1 - 4)\/(6\/(-16)). Let b be x(i). Let q(t) = -t**3 - 4*t**2 + 6*t + 5. Determine q(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 11 = 3*i - 2*o, -o + 1 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*y**2 - 146\/11*y + 420\/11.\nAnswer: 2*(y - 70)*(y - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 * 466117.\nAnswer: 9788457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -2\/12712225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 5:33 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 4:19 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**3\/6 - i. Let t be x(0). Let m(d) = d + 14. Calculate the lowest common multiple of m(t) and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -157.2 + -11.8. Let p = f + 69. Let q = -99.99999943 - p. Round q to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1641, 1640, 1639, 1638, 1637?\nAnswer: 1636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 8:30 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -752 (base 9) in base 3?\nAnswer: -211202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, -28, -101, -214, -373, -584?\nAnswer: -853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70409978 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x**3 - x**2 - 19*x - 10. Let t(j) = -3*j**3 - 10*j - 5. Let g(k) = -4*d(k) + 7*t(k). List the prime factors of g(5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 2*w**2. Suppose 0 = -4*s + 2*g + 3*g + 53, 2*g + 10 = 0. Let l be (-23)\/s + (4\/(-14))\/(-1). Calculate x(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -6*o. Let b be t(-1). Let c be (15\/(-10))\/(b\/(-16)). Let f be (1\/c)\/((-7)\/(-8)). What is the nearest to -1\/3 in -0.1, f, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 + 20 - 5*r**4 - 11 + 3*r**4 to m*r**2 + d*r**4 + b*r**3 + y*r + a and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -3135220?\nAnswer: -3135212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00093556 to 5 decimal places.\nAnswer: 0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3384130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 0*x**3 + 0 + 53*x**2 + 0*x**4 + 0*x + 5\/336*x**8 + 0*x**7 + 0*x**6 - 23\/60*x**5. Find the third derivative of h(v) wrt v.\nAnswer: 300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, 32, 114, 188?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*((0 + sqrt(175))**2*-3 - sqrt(175) - (sqrt(175) + -2 - sqrt(175))*3 - ((-1 + sqrt(175))*-1 + (sqrt(175) - (-6*2*sqrt(175) + sqrt(175)))**2)).\nAnswer: 308640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -238\/3 + 1672\/21. What is the nearest to -0.2 in 4, -1\/6, 1\/5, c?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3189, -0.2, -5, 48, 3 in descending order.\nAnswer: 48, 3, -0.2, -5, -3189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 18*k - 14*k + 12, -2*v + 10 = -3*k. Suppose 5*c - 5*n + 17 = -4*n, 5*c = -5*n - 5. Put c, v, -4 in descending order.\nAnswer: v, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/12 - (-1 - -1). Let u(v) be the first derivative of -1\/2*v**2 + 2\/5*v**5 + 0*v + 0*v**4 + 2 - 2\/3*v**3 + h*v**6. Suppose u(w) = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 5*f**3\/3 - f. Let k(v) = -2*v - 1. Let d(g) = 3*g + 1. Let p(n) = d(n) + k(n). Give r(p(l)).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 7*x - 2. Let j(s) = 3*s**2 - 15*s + 4. Calculate -5*d(b) - 2*j(b).\nAnswer: -b**2 - 5*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 18 (b) 1 (c) -4 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 11*d**2 - 26*d + 3. Let c be r(-13). Solve -13*j = -12*j + c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/8)*l**(-36)\/l)**(-10))**20 assuming l is positive.\nAnswer: l**7425","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 4.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -2, -1351, -0.5 in descending order.\nAnswer: -0.5, -2, -31, -1351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(800) - (sqrt(800) - ((sqrt(800) - -5*(-1*sqrt(800) - sqrt(800))) + sqrt(800)))**2 - ((sqrt(800) + sqrt(800)*-2)*5)**2) + -3.\nAnswer: -84799 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298324 is divided by 27111.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 7*n**3 - n. Let i(d) = -d - 9. Let s be i(-10). Let h be x(s). Suppose w - h*w = -25. Which is the closest to 2? (a) 0.5 (b) 0 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 20 = 2*y. Let w(x) = -3*x**2 + 30*x + 2. Let l be w(10). Solve -l*p = 2*p + y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**2 + 35*b - 1. Let j be k(-12). Suppose -j*y = -100 - 65. What is the lowest common multiple of 63 and y?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (226\/20 - 10)*(-10)\/(-8)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 410*n**3 - 1 - 7)*(34*n - 51*n + 34*n).\nAnswer: -6970*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**4\/3 - 121*s**3\/3 + 6130*s**2\/3 - 17528*s\/3 + 3840 = 0?\nAnswer: -160, 1, 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*c = 265, -89 = i - 2*c + 4*c. Let g be -1*0\/(-2) - i. What is the highest common factor of g and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 10) in base 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 d when two letters picked without replacement from {g: 1, y: 6, r: 2, n: 5, d: 3}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 7:40 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9561*b**3 - 7073*b**3 - b - 20 + 12 + 6.\nAnswer: -16634*b**3 - b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27812 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2*a**3 - 3*a**2 + a**2 + 4117*a - 7*a**2.\nAnswer: 2*a**3 - 9*a**2 + 4117*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 1\/44 (c) -4 (d) -0.7 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/(-261) - (-6)\/27.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*i - 87*i = -282*i + 23436. What is the greatest common factor of 1752 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*d + 2, -3*l - 4*d + 11 = 0. Let b(i) = -i - 3. Let m be b(-5). Calculate the greatest common factor of l and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkqqkqq. What is prob of picking 1 k and 2 q?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) - (1*2*sqrt(1216) - sqrt(1216)) - (sqrt(1216) + 5 + -1 + sqrt(1216) + sqrt(1216)) - (4 + 2*-2*sqrt(1216)))**2.\nAnswer: -128*sqrt(19) + 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.58 - 32.58. Let j = 761 - 728.9. Let w = j + v. Put 5\/3, w, -5, 2\/9 in ascending order.\nAnswer: -5, w, 2\/9, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013794874 rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2412 and 268?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {i: 3, s: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 2\/2113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4088 - 2434. Suppose 0 = 14*a + 478 - w. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1110 - -1136. Solve -o = -3*b - 4*g, b + 3*g - 12 = g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 673.7 in -0.5, 6, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 0 - -14 - (0 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -270, -594, -1018, -1524, -2094, -2710?\nAnswer: -3354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 368277 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from rreetdettrreeewe?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-54)*6*(-2)\/2. Let g(d) = -d**3 - d**2 + d + 1. Let z(c) = 3*c**3 + 5*c**2 - 2*c - 2. Determine l*z(p) + 2*g(p).\nAnswer: p**3 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-2)*(-5)\/((-25)\/214). Let h be (-2148)\/21 + 6\/21. Let r = h + x. Solve 3 = -2*s + r*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2176)\/96*6\/4. Let d = 3683 + -11152\/3. Let y = i - d. Which is the second smallest value? (a) y (b) -0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 834, 834, 836, 840, 846, 854?\nAnswer: 864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 10 = v + 4, 4*v + 2*u = 16. Let b(o) = -3*o - 1. Let j(k) = -11*k - 5. What is v*j(z) - 9*b(z)?\nAnswer: 5*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/2537973 and 5\/1127988.\nAnswer: 10151892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 382*h**2 + 16*h**3 - 382*h**2.\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 277 + -289 - (27 - 3).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 436*x**2 - 218*x**2 - 213*x**2.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5621 is divided by 235.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - l**2 + 1. Let k(q) = -22*q**3 - 6*q**2 + 26. Let a(z) = k(z) - 6*o(z). Differentiate a(v) wrt v.\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*j - 3*a - 40, 3*j + 1811*a = 1807*a - 38 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 60*a**4\/7 + 1856*a**3\/7 + 488*a**2 + 1504*a\/7 - 116\/7 = 0?\nAnswer: -29, -1, 1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (-29 + -3 - (-228 - -127)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -40.8, 5, -6\/11, -1\/6 in decreasing order.\nAnswer: 5, -1\/6, -6\/11, -40.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60.9 - -57.99. What is v rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/(-6))\/(11\/2200*-12). Let h = -3 + 22\/7. Which is the smallest value? (a) -4 (b) h (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183\/2318*133\/273.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**3 + 4*l**2 - 152*l + 665. What is a(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 8 (b) -1 (c) 2\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - 1. Let k be (-550)\/(-14) + (-5 - 165\/n). Let x = 45 - 19. Calculate the highest common divisor of x and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/3)\/h**(-2\/3)*h**(-9)\/h*((h*h**13)\/h)\/h*h assuming h is positive.\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(135)\/sqrt(5))\/sqrt(9).\nAnswer: -4 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j + 3. Let m(a) = -1. Give -l(n) - 2*m(n).\nAnswer: 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1da29 - 12?\nAnswer: -1da3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*-5*-2*sqrt(152))\/((sqrt(968) - -2*sqrt(968)*-3) + sqrt(968) + 2*sqrt(968)*1).\nAnswer: 60*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**3 + 8*u**2 - u - 3. Let j(a) = 11*a**3 + 17*a**2 - a - 7. Let l be (-44)\/12 - 2\/6. Let t(d) = l*j(d) + 9*n(d). List the prime factors of t(-4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - 65?\nAnswer: -5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -300455 (base 6) to base 16\nAnswer: -5bd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 greater than 560?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4613479, 4613740, 4614013, 4614304, 4614619, 4614964, 4615345?\nAnswer: 4615768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuyzuzuluuywuuuyuy. What is prob of sequence wlwl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6025*d + 24603. Give t(-4).\nAnswer: 503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 5)*(3*i**2 + i**2 - 3*i**2) + (0 + 2 - 4)*(3*i**2 + i**2 - 5*i**2).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 531 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010010 (base 2) to base 8.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 - -2.4. Let g = 4 - h. Let v = -297 - -301. What is the smallest value in g, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 214 = -223 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/8*280\/(-455))\/((-2)\/(-2))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 30, 2\/37, -5\/8, -0.5, 2?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1068818 - -5264997493\/4926. What is the common denominator of 33\/2 and r?\nAnswer: 4926","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -7*t**2 + 215*t + 80. Calculate the remainder when 76 is divided by x(31).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -104014\/19 + 10947\/2. What is the common denominator of ((-6)\/3)\/((-8)\/67) and y?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 > 230412?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -12*k**2 - 3*k + 3. Let z be 1 + (-4 - 55\/(-15))*-3. Let m(h) = -11*h**2 - 2*h + 2. What is z*f(r) - 3*m(r)?\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-28))\/(252\/588))\/(580\/16)?\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -9 + (263 - 266) + 12 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -45*b**3 + 3*b**2 + 134*b + 414. Does 114 divide n(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 621657 or 621681?\nAnswer: 621657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -z**5\/30 - 10*z**4\/9 - 100*z**3\/9 + 88*z + 55. Let s(f) be the first derivative of o(f). Factor s(l).\nAnswer: -2*l*(l + 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -2 - (-4 + 1)) + -14 - (20 + -73).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 80, 100, 122, 140, 148, 140, 110?\n\"Answer: -g**3 + 7*g**2 + 6*g + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89*d**2 - 33*d**2 - 35*d**2)*(-289*d**2 - 353*d**2 + 794*d**2).\nAnswer: 3192*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o + 36 - 292 = -23*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -115 + 120. What is the nearest to -3 in -2\/5, -5, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 30*d - 33.\nAnswer: 3*(d - 11)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9476 and 368?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, d: 1, z: 1, i: 2, h: 1, t: 2}. Give prob of sequence thd.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 2) + 1 - (2 - 5). Calculate the highest common divisor of 21 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/6723 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9\/2 (b) -21 (c) -1\/4 (d) 50 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + i + 38 = 0, 51*a - 5*i - 100 = 47*a. Solve 55 = -5*x - 19*d + 14*d, -3*d = a for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2 + ((-4 - 2 + 4)*(1 + 0 + 1) - 2 + 0 - 1)*(-1 + 3 - 1))*((0 + 5 - 3)*(1513 + 28*i - 1513) - 4*i + i + i) to t*i + q and give t.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v - v + 3*v - 2*v - 4*v + 0*v + (-2*v + v + 0*v)*(2 - 3 - 1) + 0*v + v + v + v - 4 + 4.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -19*m + 1. Suppose 0 = -s - 4. Let w be p(s). Let u be 6\/(-15) - w\/(-5). Solve 6*y + u = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**2 - 777*z + 24081. Calculate y(28).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t - 4. Let m be f(5). Calculate the greatest common factor of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -3664*j**7\/105 + j**5\/15 + j**4\/4 + j**3\/6 + 4956*j**2. What is the third derivative of m(s) wrt s?\nAnswer: -175872*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 1. Let j(k) = 2*k + 5. Let z(l) = -5*c(l) + j(l). Let w(h) = h. Calculate z(w(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 0.5 (c) 51.9 (d) 13 (e) -0.062 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -47927 at most -47924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -25 (b) -3 (c) -5 (d) 2\/593\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 57 + -60?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 b, and 1 w when four letters picked without replacement from wrwwrrwbrrr?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -128*y + 4. Let l be v(2). Let w = l - -375. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79293 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 5*x + 74*x - 42*x - 3*x**2 + 106*x - 6 + 9*x**3 to l*x**3 + n + d*x + u*x**2 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -914.7506 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -2)*-3 + 0. Put j, -0.1, 0.4 in descending order.\nAnswer: 0.4, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/((k*((k*k**1\/k)\/k*k*k)\/k*k)\/k*k)*k\/(k*k**(1\/7))*k*k*k*k**6*k*(k*k**7*k)\/k assuming k is positive.\nAnswer: k**(111\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 7*w + 12 = 0. Let x = 38 - w. Does 28 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*r + u, -3*u + 1 = -4*r - 5. Which is the nearest to 1? (a) 4 (b) 18\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*w = -w + 3, -15 = -i + 5*w. Suppose i*a + 8 = -3*a. Let m(x) = 4*x**2 + 3*x + 5. Let y(b) = -b**2 - 1. Calculate a*m(j) - 5*y(j).\nAnswer: j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.75 - -1.35. Let b = 9.54 + 1.56. Let h = -11 + b. What is the closest to h in -2\/11, 3, k?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -4. Suppose 6*a - a - 85 = p. Calculate the greatest common divisor of 187 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -146 - -238. Let b = 91.999828 - d. What is b rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 6*u - 5. Let o be t(5). Suppose m = f - 9, o = -f - 4*f - m + 63. Solve 3*a + a = -f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -9*g**2 + 6*g - 2. What is f(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**3\/5 - 5568*s**2\/5 + 22298*s\/5 - 16728\/5 = 0?\nAnswer: -2788, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4117569 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - u**2 - u + 1. Let x be f(1). Suppose 10*n - 15*n + 4265 = x. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 63 = 2*t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55293356 to the power of 1\/4, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**3\/8 - 9*j**2\/2 + 13359*j\/8 = 0?\nAnswer: -73, 0, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*g - 1 + (-52*g + 16*g + 20*g)*(-1 + 4 + 1 - 4 + 11 + 1 + (4 - 1 - 1)*(6 - 4 + 0) + 3 + 3 - 7) to the form s*g + m and give s.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000049719 to 7 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8 + 8 + 4*f + 10. Let s be g(7). Calculate the highest common factor of 180 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 775*h**2 - 775*h**2.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-135)*(-4)\/((-112)\/(-6))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 350 + 69. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 352\/7 + -50. Let i = -0.22 + 0.32. Let m = 2 - 2.01. Which is the biggest value? (a) m (b) i (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -43, -2.\nAnswer: -43, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 5*y. Let x be s(-4). Let t(j) be the third derivative of 0*j - 2*j**2 + 0 + 1\/6*j**x - 1\/3*j**3 - 1\/30*j**5. Factor t(u).\nAnswer: -2*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 302\/(-3)*(-12)\/8. Is (3 + -1)*l - 3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 37*n - 18 = 40*n, -3*q + 38 = -23*n for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 1:51 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -41\/3? (a) -0.9 (b) -3 (c) -0.4 (d) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(38\/(108\/441*(-7)\/(-3))).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7251042 is divided by 41.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 224558 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + d. Let f = -47 - -51. Put f, d, 3 in descending order.\nAnswer: f, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -13*r + 40 + 3*r + 35 - 77. Let u be h(-2). What is the derivative of 25 - 7 - u*v + 12 wrt v?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2\/9 - 232*y\/9 - 2050\/3 = 0 for y.\nAnswer: -75, -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -10*q**3 - 6*q**2 - 4*q - 4. Let r(m) = -11*m**3 - 4*m**2 - 5*m - 5. What is -5*f(d) + 4*r(d)?\nAnswer: 6*d**3 + 14*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95302 and 3030?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e - 4?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -1\/11 (c) -1 (d) 2413\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 1483, -2\/7, -2\/31?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299 - 299 + 30*f**2.\nAnswer: 30*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 159 + -98. Suppose 25 = -z*s + 66*s. Solve -s*y - 4*c = 21, -3*c = -4*c - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 664 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 4:14 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 47885798839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1342, 1330, 1316, 1300, 1282?\nAnswer: 1262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 6*l**2 + 2*l. Let o be k(-2). Let z be 5\/(19\/(-20) - -1). Calculate the greatest common factor of z and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1835 = -5*z - h, -h = -5*z + 1850. Is 3\/(-2) - z\/(-6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -72*g**3 + 4*g**2 - 4*g + 2. Let n(k) = -73*k**3 + 5*k**2 - 5*k + 3. What is 4*n(j) - 5*v(j)?\nAnswer: 68*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21894, -43779, -65656, -87525, -109386, -131239, -153084?\nAnswer: -174921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -8*u**2 - u + 10*u - 5 + u**3 - 2. Let v be c(7). Let p = 24 + v. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8949361 a multiple of 269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r**4 - 215*r**3 - 1506*r**2 + 2240*r - 512 = 0. Calculate r.\nAnswer: -16, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 3\/2 (b) 2\/9 (c) -5\/6 (d) -1\/3 (e) -0.1 (f) 0.1 (g) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14147*k - 22846*k + 11519*k to l*k + j and give l.\nAnswer: 2820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/3418075 and 37\/683615?\nAnswer: 3418075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.9 (b) -2 (c) 5 (d) 2\/3 (e) 37\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(((-8)\/(-10))\/(3\/15)))\/((-654)\/(-27468)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*c - 2*c + 0*c in the form b*c + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78*d**2*j**3*z**3 + 2*d**2*j**2*z**3 - d**2 - 9*j**2 - j wrt j.\nAnswer: 468*d**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - -6 - (-14)\/(-2). Let p be (-4)\/((-1)\/(x - 4*-1)). Suppose -5*i = -3*i. Sort p, 3, i in descending order.\nAnswer: p, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.16669ml to litres.\nAnswer: 0.02116669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6068419 is divided by 37.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*p - 5*l, -2*l = 5*p - 3*l + 2. Let g(j) = -2*j. Let b(y) be the second derivative of y**2\/2 + 39*y. Let k(u) = -b(u) + 3*g(u). Determine k(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.5 and 43810122 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2085107.06 rounded to the nearest 100?\nAnswer: 2085100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**8\/840 + 4*h**7\/525 + h**6\/75 - h**5\/75 - h**4\/12 - 2*h**3\/15 - 3*h**2. Factor r(y).\nAnswer: 2*(y - 1)*(y + 1)**3*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 + 37. Sort -1, f, -5, 0.6.\nAnswer: -5, f, -1, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/7)\/k)**(12\/11)\/(k**(-2)\/k*k)**(-5) assuming k is positive.\nAnswer: k**(-830\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*c - 1539 = 218*c - 429*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-580*o**3 + 582*o**3 - 72*o**2 + 41*o + 74*o**2)*(-8 - 6 + 74).\nAnswer: 120*o**3 + 120*o**2 + 2460*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 99 - 35. Suppose -28*t + 24*t = -a. Calculate the smallest common multiple of t and 34.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/(-2))\/(4\/18). Is (b\/(-16))\/((5\/88)\/5) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**2*w**3 + 97060*k**2*w**2 + 3*k**2*w - 142120*k*w**3 - w**3 wrt w.\nAnswer: 12*k**2 - 852720*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1347 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 3*d - 30, -114*s - 2*d - 20 = -113*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3 + (-52)\/20)*(5\/30)\/(34\/8262)\nAnswer: 81\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -302 >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -3.6. Let m = 269 - 203.6. Let g = m - 65. What is the closest to q in -2, g, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1220 - 208 = 11*w. What is the smallest common multiple of w and 16?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 6 + (-24)\/12*-8 + -31.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(288) - sqrt(8)).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2052 (base 6) to base 16\nAnswer: -1d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1448*a*r**5 - 8*a*r**3 + 1536318*a*r wrt r?\nAnswer: -28960*a*r**3 - 48*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 22 + 37*g - 97*g + 23*g + 40*g. Calculate s(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 85*j - 509. Let l be b(6). Let n be -1*3\/((-78)\/94). Let d = 1619\/455 - n. Are d and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 22448*u - 1531081. Give h(68).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -55370?\nAnswer: 1\/11074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -156 + (84 + 40 - 46)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1466727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/2694 and 19\/147.\nAnswer: 132006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -33*w + 5. Let h(q) = -q + 1. Give 6*h(v) - u(v).\nAnswer: 27*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 652, 1305, 1960, 2617?\nAnswer: 3276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 23fb (base 16) to base 9\nAnswer: 13564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -239954, -239953, -239952, -239951, -239950?\n\"Answer: c - 239955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmcftfcfe. Give prob of sequence cf.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, g: 11}. Give prob of sequence ggyg.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(-1 - 1 + 0)*(8*u**2 + 7*u**2 - 3*u - 16*u**2 - 2).\nAnswer: -2*u**2 - 6*u - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -171 * -0.5.\nAnswer: 85.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 25, 81, 231, 523, 1005, 1725, 2731?\n\"Answer: 8*m**3 - m**2 + 3*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 296, -3, -5, 1, -1, 17 in descending order.\nAnswer: 296, 17, 1, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 468336 and 121088.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**2\/4 + 29*r\/4 - 15\/2 = 0.\nAnswer: -30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1325 and -16?\nAnswer: -2.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 167\/5. Sort l, -1\/2, -5\/3 in increasing order.\nAnswer: -5\/3, l, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-12141)\/(-12771) - 4) + (-1 - -4) and 41\/15.\nAnswer: 7095","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9035459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1*q**3)**12 assuming q is positive.\nAnswer: q**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3189 is divided by 174.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 31 + 1. Let t(a) = -a**2 + 5*a + 7. Let y be t(w). What is the second derivative of y*k - 2*k + 16*k**2 - 3*k**2 wrt k?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2)*(-5*o + 2*o + 2*o) - 2*o - 2*o + 5*o)*(6 + 3 - 2 + (1 - 4 + 2)*(-3 - 5 + 1)).\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -15370 at most as big as -15371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*m = 126*m + 418. Let f = -57 + 61. Calculate the highest common divisor of f and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -19*k**2. Let w(n) = 2360*n. What is q(w(j))?\nAnswer: -105822400*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 5*y - 2. Let q(s) = -s + 1. Give 5*q(h) + u(h).\nAnswer: h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1204596.\nAnswer: 2, 3, 33461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 7 - 234*c + 4 + 235*c.\nAnswer: c + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = p + 5 - 28, 0 = -y - 2. Solve a + 2*a - 12 = 0, -5*a = -u - p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63917, 127860, 191795, 255716, 319617?\nAnswer: 383492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 854681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.7 - -3. Let u = w - 1.3. Put u, 0.5, -5 in decreasing order.\nAnswer: 0.5, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83 - -129. Let q = v - 42. Let t = -0.3 - -0.5. Which is the nearest to -0.1? (a) q (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26.55*-493\nAnswer: 13089.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**2 + 428758290*f - 15319472603643675 = 0. Calculate f.\nAnswer: 71459715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d + 19. Let r(c) = 2*c + 19. Let l(x) = 4*h(x) - 5*r(x). Give l(-17).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/3 - 4*t\/3.\nAnswer: 2*t*(t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 20*f**2 + 19*f - 6. What is s(-19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 1\/2*i**3 + 1\/2*i**2 + 0*i + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 137, 0.2, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 1 + (-92)\/(-60). Suppose 2*r - 7 = -3*m, 22*r + 5*m = 18*r + 15. Let 0 - 16\/5*g**2 + c*g + 8\/15*g**r - 14\/5*g**4 + 74\/15*g**3 = 0. What is g?\nAnswer: 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 12*o**2 - 2*o - 16. Let t be g(-12). Suppose -3*u + t + 16 = 0. Calculate the lowest common multiple of u and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2123059?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**6\/120 + l**5\/12 - l**4\/4 + l**3\/6 - 2*l**2. Let d be b(-6). Suppose -3*u - 2 - d = 0. Put 3, u, -3 in decreasing order.\nAnswer: 3, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t**3 - 5*t**2 + 9*t + 1. Let z(x) = 6*x**3 + 5*x**2 - 10*x - 2. Let o(u) = 7*n(u) + 6*z(u). Give o(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 573\/21 - (-10)\/(-35). What is the third derivative of -q*k**4 - 11*k**4 + 5*k**2 + 25*k**4 wrt k?\nAnswer: -312*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93 + 106. What is the greatest common factor of 117 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c1d3 + 5?\nAnswer: -c1cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 132*v**5 + 2*v**4 + 6*v**2 - 7 wrt v?\nAnswer: 7920*v**2 + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -2130 and 2130 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 908, 2\/15, -49, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + -42. Let j(m) = 4 + m + 4 - 1. What is j(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16, 2\/5, 8\/3459?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(((j*j*j**(-1\/5)*j)\/j)\/j)*j)**5 assuming j is positive.\nAnswer: j**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*l + (l + l + l)*(3 - 4 - 1))*(-l**3 + 3*l**2 - 3*l**2).\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 9*k - 26. Let o be w(-11). Let z = -1192 - -1814. Is (-8)\/o + z\/12 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 9*h + 2*v = -8, -4*h - 12 = 3*v for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvt when three letters picked without replacement from {t: 2, v: 4, j: 1, k: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 153725 - 399015. Let j = r - -135890. What is j rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxxqxxxqxqxxxqxqxx?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 4, -0.1, 4\/9, -2098 in ascending order.\nAnswer: -2098, -1\/5, -0.1, 4\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0465, 0.0343, 0.4, -3, 4 in decreasing order.\nAnswer: 4, 0.4, 0.0465, 0.0343, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2943090.6 rounded to the nearest 100000?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*y - 1. List the prime factors of y - (-12)\/4 - 1.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 253740*y**3 + 129076*y.\nAnswer: 1522440*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 105027.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 19 = 5*i, 12 - 4 = i + 2*r. Let c be (2\/(-2))\/(i\/144). What is the common denominator of (-1)\/(-3) - (-1596)\/c and -35\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 684 and 94153512.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 36757410924514.\nAnswer: 36757410924513.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59822155?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1208.7 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - 20*4\/(-76). Let i = -1.3 - -1. Let z = 832\/8295 - 2\/395. Which is the smallest value? (a) p (b) z (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 - -674. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4615323 (base 9) to base 13\nAnswer: 6927b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4250, -18249, -41588, -74273, -116310?\n\"Answer: -g**3 - 4664*g**2 + 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2166)\/285 - ((-26)\/10 - -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + -0.3. Which is greater: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by -7515644.\nAnswer: 21\/7515644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 9 + (-1 - (0 - 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -8, -12, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 7 = -8*b. Let s = -4657\/20 + 233. Which is smaller: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*j + 5*j + 4*j)*(4 + 3*j - 4).\nAnswer: 87*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 85549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91 + 181. What is the least common multiple of m and 6?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 483*l = -3764 + 2093 + 19059. Let c(r) = -9*r - 2. Let o be c(-2). What is the greatest common divisor of o and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-39*8\/(-1144))\/((-2)\/(-22)). Factor -3\/11*l**4 + 4\/11*l**2 + 0*l**w + 0*l + 0 - 1\/11*l**5.\nAnswer: -l**2*(l - 1)*(l + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7a6b - -14?\nAnswer: 7a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1368) - -1*((2*sqrt(1368) - sqrt(1368)) + sqrt(1368)))*-2)\/(3*1*sqrt(2592)).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 912787768 to the nearest integer?\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -6\/7 (b) -0.4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - 3.7. Let q = 0 + p. Let u = 74.1 - 74. Which is the biggest value? (a) u (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(11\/2)*w\/(w**9*w)*(w*(w\/(w\/(((w\/(w\/(w*w**(-5\/9)\/w)))\/w)\/w)))\/w)**(-3\/5) assuming w is positive.\nAnswer: w**(-59\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 247 - 243. Determine q, given that 64*q - 44*q**2 + q**3 - 34*q + 29*q**3 - 11*q**2 - 5*q**g = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/25, -0.1, -1.\nAnswer: -2, -1, -0.1, -2\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103 + -99. Suppose 5*o = -4*q + 111, -q + 0*q + 12 = -n*o. Suppose -5*a = 3*a - q. Calculate the smallest common multiple of a and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2137 is divided by 86.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 6*o - 37 = -3*o, -o - 24 = 3*g. Let h = g + 12. What is the highest common factor of h and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.86 + -1.860213. Round y to 5 dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15894*y**3 + 16995?\nAnswer: -47682*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -593 - -663. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43709 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -351101.34 rounded to the nearest 1000?\nAnswer: -351000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + m + i + 9, 12 = -5*m - 2*i. What is the remainder when 18 - m\/4*4 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(72)\/sqrt(2))\/sqrt(12) + (sqrt(3) - (-1*sqrt(15))\/sqrt(5)))**2*-3.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**2 + 7*u + 7. Let f(o) = o**2 - o - 1. Let q(y) = c(y) + 4*f(y). What is the units digit of q(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11605\/422)\/(2*10\/(-8)) - 9?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.72*0.5\nAnswer: -0.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36.3 * -374.\nAnswer: 13576.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -69, -86, -127, -204, -329, -514?\n\"Answer: -2*c**3 - 3*c - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**2 + 1479*i - 17756 with respect to i.\nAnswer: -4*i + 1479","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**4\/24 - 13*v**3\/2 - 356*v**2. Let u(x) = -2*x - 3. Let p(t) = -1. Let a(l) = 3*p(l) - u(l). What is a(y(k))?\nAnswer: -2*k - 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1311 + 3303?\nAnswer: 11220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s**2. Suppose 0 = r - 0 - 2. Suppose -5*o + 2 = -0*g - 4*g, -4*g = 2*o - 12. Let w(l) = 2*l + o*l - r*l. Calculate w(a(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12, 0.02, 0?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(147)*-4 + sqrt(432)*2 + (sqrt(120)\/sqrt(4))\/sqrt(10) + 5 + 5)*-6)**2.\nAnswer: 78480*sqrt(3) + 1286748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + 0*g - g)*(-2*g + g + 8*g - 3) in the form z*g + u*g**2 + c and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40.15 - -0.35. Let p = i + -40. Let y = 2.5 + p. Which is the third biggest value? (a) -0.3 (b) y (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 321 and 321 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -i - 3*i + 100, -3*i + 9 = 0. Calculate the common denominator of ((-15)\/(-22))\/3 + 1 and (2*207\/(-6))\/g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -294*k - 40. Let z(y) = 258*y + 39. What is 7*m(b) + 8*z(b)?\nAnswer: 6*b + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.69 rounded to the nearest integer?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 9726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 412*12.04632\nAnswer: 4963.08384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120107?\nAnswer: 13, 9239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(14*9\/189)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 61*n**3 + 23*n**4 + 8*n**4 + 36310*n**5 - 7*n**2 - 24 - 36313*n**5 - 58*n = 0.\nAnswer: -1, -2\/3, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 4:02 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2 = 2*g, -11*g - 3*n - 14 = -15*g. What is the third derivative of -2 - m**2 - 41*m**5 - 24*m**g - 56*m**5 - 3*m**5 wrt m?\nAnswer: -7440*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(1*sqrt(10)))\/sqrt(7) + -2 + -1 + sqrt(3) + -2 + 1 + (sqrt(3) + -3)**2.\nAnswer: -4*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 12 = 3*v, -v + 0*f + 12 = -3*f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1864840 to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + c**2 - c**5 + c + 0*c + 0*c + c**4. Let y(l) = 3*l**5 + 2*l**4 + 2*l**3 - 2*l**2 - 2*l. Let n(a) = -2*o(a) - y(a). Factor n(t).\nAnswer: -t**3*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1761*o**2 - o**3 + 1761*o**2.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 1 - 130 = -5*b, 0 = -4*b - 3*r + 111. Suppose -b = 268*p - 277*p. Solve 0*g + g = 2*h, p*g + 2 = 5*h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19643 + -19628 + 0 + (-1 - 22)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 25*h**2 - 6537*h - 278. Determine r(261).\nAnswer: -3410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6775 = 129*y - 154*y. Calculate the remainder when y is divided by 92.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, d: 1, n: 1, m: 2, i: 7}. Give prob of sequence midm.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -119087 - -62877917\/528. Calculate the common denominator of 137\/192 and d.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*o**5 - 2 + 13*o**5 + 24*o - 26*o - 10 wrt o.\nAnswer: 320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*d - 5*d - 160099. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1147557 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -2\/2955?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/184 and 79\/4650.\nAnswer: 427800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from cvccccccv?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7 + 4 + (-33)\/(-44) + 2. Let z = 3 + -6. Let j be z\/3 - (2 - 8). What is the nearest to 2\/23 in p, -3, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4 + (((0 + sqrt(272))*-2 + ((2*sqrt(272) - sqrt(272) - sqrt(272)) + -1 - sqrt(272)))**2 - ((sqrt(272) - (sqrt(272) + -1))*5 + -5)).\nAnswer: 24*sqrt(17) + 2450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143529 divided by -143529.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/7 + 540*p**2\/7 - 1086*p\/7 + 544\/7.\nAnswer: 2*(p - 1)**2*(p + 272)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from {q: 6, c: 2, s: 10, d: 2}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -12*z**2 - 20 - 13*z - 4*z**3 + 3*z**3 + 4*z**2 + 29. Let h be i(-15). Suppose -17*n + h = -2505. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -422, -841, -1258, -1673, -2086, -2497?\nAnswer: -2906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -273*(-1)\/(7\/14). Let r = 609 - z. What is the greatest common divisor of 504 and r?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwnkkkkkkw. What is prob of picking 2 k and 1 n?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*p - 6. Suppose p + 0 = 2*j. Is j >= 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123558*d - 222063*d - 344249*d - 137243*d.\nAnswer: -827113*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 170 = -3*l + 435, 0 = 5*l + 5*u - 450. What is the remainder when l is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25476280 a multiple of 733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1225 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 2*s + 37 = -2*s, 5*g - 6*s + 11 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*u**5 - u**5 - 20*u - 3 + 3 wrt u?\nAnswer: 220*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 37.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 4*b + 3. Let l be v(4). Suppose l*p = -3 + 12. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, t: 7, w: 1, h: 4}. What is prob of picking 1 h and 1 b?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 22 = -13*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1982218577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**50*s*s\/(s*s\/s**(-20)*s)*(s**(-18)\/s)\/(s*s*s*s*s*s**(4\/27)) assuming s is positive.\nAnswer: s**(131\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**3*v - 586*k**2*v - k*v + 259*v + 1 wrt k?\nAnswer: -6*k*v - 1172*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4 + 3 - 5*p**2 + 6*p**2 - 6*p**3 - 3*p**2 - 2*p. Let a be u(-1). Find the second derivative of 2*o + 13*o**5 - 18*o**a + 7*o**5 wrt o.\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 473388 to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drx when three letters picked without replacement from {r: 2, d: 1, b: 1, c: 1, v: 1, x: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 189*i**5\/5 - 37*i**2\/2 + 173. Find the second derivative of l(s) wrt s.\nAnswer: 2268*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 382*h**2 - 823*h**2 + 443*h**2 - 196*h**3.\nAnswer: -196*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + c - 1. Let w(l) = 15*l**2 - 3*l - 3. Let f(g) = 4*t(g) + w(g). What is the units digit of f(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 213 = -z + 5*j, -1089 = -5*z + j. Let o be 988\/(-8) + 1\/2. Let l = z + o. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 34*g + 15. Let c(q) = 16*q + 7. Let d(f) = -13*c(f) + 6*t(f). Let i(n) = -n - 11. Let w be i(-9). Let y(h) = -h. What is w*d(a) + 6*y(a)?\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 6*t**2 - 4*t + 7. What is p(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + q + 22, f = -0*f + 4*q + 12. Calculate the least common multiple of 3 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53310, 53316, 53334, 53370, 53430, 53520?\nAnswer: 53646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*t + 8*t**2 - 14*t)*(-4 - 1 + 4)*(t**2 + 2*t**2 - 5*t**2).\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmyyym. What is prob of sequence yym?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2759 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 7*g - 4. Let x = 11 + -5. Let k be z(x). Suppose -k*w = -3*w + 6. Solve 2*h = -h - w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 - 22 = -2*h. Let x be (-372)\/(-9) + 12 + (-4)\/(-6). What is the greatest common factor of h and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, -0.4, 1.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13020 - 13019. Factor 3*q**4 + 7*q**3 + 9\/2*q + j + 8*q**2 + 1\/2*q**5.\nAnswer: (q + 1)**4*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20515, 41049, 61595, 82153, 102723, 123305?\n\"Answer: 6*j**2 + 20516*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*j**5 + 104*j**4 - 280*j**3 + 336*j**2 - 188*j + 40 = 0. Calculate j.\nAnswer: 2\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhddhhhdh. Give prob of sequence hdd.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*3)\/(435\/29)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/10)\/((6\/10)\/3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2926 - -2925. Put 4, a, -763 in descending order.\nAnswer: 4, a, -763","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*((-7)\/9 + 1). Let p = 6\/7 + -4\/7. Which is the fourth biggest value? (a) 0.5 (b) p (c) t (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k**3 + 29*k**2 - 7*k. Let z = 2859 - 2852. Give x(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-20 - -6 - -8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 127016*x**2 + 157430*x wrt x.\nAnswer: 254032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -4790 and -4785 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 equal to -1105664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6668379426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 0\/2) + 2. Suppose 0 = f + 9 - a. Let q = 9 + f. Calculate the remainder when 4 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 48\/11, -0.3, -0.5?\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 5*r**4\/12 - 45*r**3\/2 + 175*r + 18. Let c(v) be the first derivative of z(v). Let c(w) = 0. What is w?\nAnswer: 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 8*p**2 + 9*p + 2. Let u(k) = 2*k**3 - 15*k**2 - 17*k - 3. Let q(y) = 3*u(y) + 5*v(y). What is the units digit of q(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -4, -3\/11, -5, 5.6, -1.4?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + 2 + (2*sqrt(1300)*-2 - -4*(sqrt(1300) + 2*sqrt(1300)))))**2.\nAnswer: 7200*sqrt(13) + 749025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -15.5. Let m = z - 7. Put m, -0.3, 4 in descending order.\nAnswer: 4, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 710*b + 140. Let v(o) = 3*o + 4. Let h(p) = -g(p) + 50*v(p). Differentiate h(d) wrt d.\nAnswer: -560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37 and 71447.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**5\/2 - 3*k**4\/2 + 137*k**3\/2 + 351*k**2\/2 + 54*k - 54 = 0. Calculate k.\nAnswer: -3, -1, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 957 by 3.\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 64*s**2 - 242*s + 158. Determine o(60).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/9*(-27)\/6. Solve 6*k - 4*k - 5*t - 19 = 0, -i*k - 19 = 2*t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 468670 and 468693 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2881551479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18006 by 13963.\nAnswer: -18006\/13963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -203d22 (base 15) in base 9?\nAnswer: -2784245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**5\/120 - d**4\/8 - d**3\/2 - 2*d. Let r(y) be the second derivative of m(y). Let o be r(10). Which is greater: o or -14?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9284\/88 - (-1)\/4*-6. What is the highest common divisor of 91 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 7*p**2 - 6*p + 2. Let u = -45 - -39. What is o(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, -3\/7, 0, -13.1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eighty-eight fifths of a minute?\nAnswer: 1056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 5*j**5 + 7*j**5 - 5 + (0*j**2 + 0*j**2 - j**3)*(0*j + j**2 + 0*j).\nAnswer: j**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 4:08 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -35. Suppose -5*m + 0*m - 3*p - 12 = 0, h = -2*m + p. What is the smallest value in m, 2, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 3*z**2 - 4*z + 9. Let q be s(-4). Suppose -q*j + 2*j + 119 = 0. Suppose 176 + j = y. List the prime factors of y.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p + 2*p - 2*p)*(-12*p + p + 3*p) - 2*p**2 + 0 + 3*p**2 + 1 to the form z + g*p**2 + n*p and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -331, -663, -995, -1327, -1659?\n\"Answer: -332*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 72*x**2 - 284*x - 4. What is f(4)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 47. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -285 divided by 30\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l - l - 4*l - 5*l to the form q*l + p and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 225, 902, 2039, 3642, 5717, 8270?\n\"Answer: n**3 + 224*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*a**2 - 2*a - 63*a**2 + 133*a**2 to the form g*a + k*a**2 + t and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -5503.43 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**6\/10 + 3*u**5\/20 - 1407*u. Factor y(h).\nAnswer: 3*h**3*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 0.08163?\nAnswer: 0.032652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-8))\/(1\/(-20)). Let y = -25 - -27. What is the units digit of (-2)\/y + -5 + l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 69*t**2 - 124*t - 1. What is the tens digit of b(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196611617.\nAnswer: 409, 480713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33712.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2165 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: Find j such that -2*j**5 + 536950*j**4\/11 + 6545564*j**3\/11 - 31062136*j**2\/11 + 28521136*j\/11 + 6251264\/11 = 0.\nAnswer: -16, -2\/11, 2, 24419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 10*v - 15. Let q be a(6). Let g = q - 15. Let l(k) = -4*k - 9. What is the remainder when 59 is divided by l(g)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-11 + -2)*(-2)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1431276 + 1431044.0522. Let w = 0.0522 - h. Let m = 231.99999513 - w. Round m to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 131 - 111. Suppose -l*p + 2147 = -p. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1154771 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -243 + 240. Let f(s) = -5*s**3 + 5*s**2 + 14*s + 5. Let x be f(b). Calculate the highest common divisor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjpwbwbjbwbbpwpw. What is prob of sequence jm?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -503*b - 2. Let h(o) = -o. Give d(h(s)).\nAnswer: 503*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p + 31*p + 72 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99 + 3383. What are the prime factors of i?\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1383*n + 401*n**5 - 36*n**3 - 191*n**3 + 223*n**3 wrt n?\nAnswer: 8020*n**3 - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5*g**4 + 152675*g**3 + 18856550*g**2 - 57638300*g + 38629080 = 0.\nAnswer: -126, 1, 2, 30658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -167 - 970*q + 1801*q - 1036*q wrt q?\nAnswer: -205","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 0, 158 in ascending order.\nAnswer: 0, 19, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -1443164.\nAnswer: -577265.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, o: 2}. Give prob of picking 2 b and 1 o.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3337, -3333, -3329, -3325, -3321, -3317?\n\"Answer: 4*p - 3341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 342274259 to the power of 1\/3, to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n**3 + 11*n**2 + 32*n + 28 = 0. What is n?\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1126862, -1126736, -1126610, -1126484, -1126358, -1126232?\nAnswer: -1126106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, k: 4, r: 3, b: 4}. Give prob of picking 1 r and 1 b.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -973708872 - -973708864.90000117. Let r = -7.144 + 0.044. Let k = r - x. What is k rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**3\/3 - 4555*m - 1. Let t(n) = 2970*n. What is t(p(x))?\nAnswer: -5940*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - (-10)\/(-4))*-6. Suppose f*z + 0 - 18 = 0. Suppose -6*n - 12 = -10*n. Calculate the remainder when z is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 43?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -824117 greater than 202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 867667919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 7:08 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**2\/5 + 99*w\/5 + 84 = 0. What is w?\nAnswer: -28, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 312384 and 17441440?\nAnswer: 104648640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 590.7 + -611. Let b = o - -20.2. Sort b, -5, 0.055, 0.4 in increasing order.\nAnswer: -5, b, 0.055, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*w + 3*g + 9, -w = -5*g + 5. Solve -3*m - w = 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-36)\/30)\/(21\/(-70))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -624 - -4?\nAnswer: -620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 81*h**5\/11 - 414*h**4\/11 + 295*h**3\/11 + 1354*h**2\/11 - 2492*h\/11 + 1176\/11 = 0.\nAnswer: -2, 1, 14\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*v. Suppose -4*t + 12 = 2*o, -4*t + v*o + 12 = -4*o. Find the third derivative of 30*x**3 - 30*x**t + 3*x**2 - 4*x**4 wrt x.\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**4\/7 + 1968*n**3\/7 + 3980*n**2\/7 - 13848*n\/7 + 7904\/7 = 0. What is n?\nAnswer: -4, 1, 494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 0*d = 7*v + 173, -5*d + 4*d + 208*v - 212*v = 102 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + -23. Let d = -278 - -316. Let z = d + i. What is the third smallest value in 0.2, z, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48\/25 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 76, 13, 5 in decreasing order.\nAnswer: 76, 13, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55772700 and 354?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + ((-8)\/(-4) - -2). Solve n - 5 = 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 - 8 = 2*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**3 - 28*l**2 - 13*l - 8. Let k be c(12). Suppose -3*t - 4*r + 6*r + 2960 = 0, 0 = -t + 2*r + k. What are the prime factors of t?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -10860*c + 2942. Is k(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291350 is divided by 3510?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 1600511, 18 in decreasing order.\nAnswer: 1600511, 18, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (7 - 2)) + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2773 - 2787. Let a(r) = 2*r + 24. What is a(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 6 = -5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 603 divided by 5?\nAnswer: 603\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (60\/(-50))\/((-9)\/(90\/4)). Let h(x) be the second derivative of 1\/2*x**d + 11*x - 3*x**2 + 0 - 1\/12*x**4. Give h(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -157*y - 650. Determine j(-5).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -76, -2, 2.\nAnswer: -76, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18535917509402 + 3.\nAnswer: -18535917509399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 - 14*q**2 + 6*q**3 + 14*q**2.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*b + 3*d - 8046, 4*d + 3222 = -2*b. Let i = 3360 + b. List the prime factors of i.\nAnswer: 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 less than -7492461.8?\nAnswer: -7492475.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-1))\/(((s\/(s\/s**4))\/s)\/s*s)*s*s*(s*s**3)\/s*s*(s**(-5)\/s)\/s assuming s is positive.\nAnswer: s**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19 - 7*y - 19 + (0*y + 2*y - y)*(3 - 5 + 7).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*i = -41, c + 3*i = 2*i + 7. Let k = c - 5. Solve w = 5*m - 5, k*m = 8*m + 4*w - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6900507 divided by -222597.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5046 - 5046. Let a(s) be the first derivative of 14\/3*s**3 + 19\/2*s**2 - 1 + x*s. Find the second derivative of a(c) wrt c.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -14*t**3 - 4*t**2 - t - 4. Suppose 2*m + 15 = 3*y, -4*y = 28*m - 40*m - 76. Let r(j) = -j**3 - j**2 - 1. Calculate y*o(b) - 4*r(b).\nAnswer: -10*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 17*b - 306. Let q be x(18). Let l(t) be the first derivative of 13\/2*t**2 + q*t + 2 - 13\/3*t**3. What is the second derivative of l(n) wrt n?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/8*((-36)\/(-15))\/6\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/3 - 63907*k + 75955628\/3.\nAnswer: (k - 191324)*(k - 397)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + 27c?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -14*j + 216. Let x be y(15). Let v be (-1 + 1)\/(1 - -3 - x). Put -2, 9, v in decreasing order.\nAnswer: 9, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 108*q**4 - 328572*q**3 - 19296645*q**2 - 31476300*q - 13020000 = 0.\nAnswer: -56, -5\/6, 3100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 650893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -741744 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - p = -9, 4*q + 73*p + 12 = 74*p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, a: 7}. What is prob of sequence rra?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -103*h + 70*h**2 - 77*h**2 + 103*h. Let y(m) = -1 + 9*m**2 + 1. What is y(c(j))?\nAnswer: 441*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1275 and 1823709?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3\/3 + 46779100*m**2\/3 - 273535524601250*m\/3 = 0. Calculate m.\nAnswer: 0, 11694775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 11*r**2 + 46*r + 14. What is c(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2038411?\nAnswer: 2038411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 144, 3.\nAnswer: -2\/3, 3, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/3, 3\/5, 5\/3, 17, -19, -101, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -410, -1549, -3388, -5879, -8974, -12625, -16784?\nAnswer: -21403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 394690 and 6078226?\nAnswer: 30391130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-347*d**2 + 25*d**2 - 189*d**2)*(-4 - 3 - 1) as i*d**2 + b + x*d and give i.\nAnswer: 4088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 756 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.14 - 13. Let w = 0.26 + o. Let g = 1.3 - 1. Which is the third biggest value? (a) w (b) g (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 38*n**2 + 499. Let i(q) = q**2. Give v(i(z)).\nAnswer: 38*z**4 + 499","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 11:28 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -14734074 > -14734076?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15\/26 + -383\/754. Let a be (6\/(-4))\/((-24)\/32). Suppose -a*j + 2*h - 7 + 3 = 0, 2 = -2*j + h. Which is greater: j or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 403, 401, 399, 397, 395?\n\"Answer: -2*m + 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -420634 - 9.\nAnswer: -420643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -8 - 3) + 7 - -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5157255923.\nAnswer: 67, 347, 221827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 395024?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3521 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -2, 0, 1 in descending order.\nAnswer: 1, 0, -2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/13182072 and -47\/536?\nAnswer: 883198824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 511251*g. Let y(h) = h**2. Calculate r(y(x)).\nAnswer: 511251*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10685353 to the power of 1\/2, to the nearest integer?\nAnswer: 3269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/96 and 85\/12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a - 38 = -3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 5*z + 5. Determine w(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 138 and 3984.\nAnswer: 91632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 189.99999947 - 190. What is o rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**2\/3 + 8*d + 96 = 0.\nAnswer: -6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**4\/12 + 52554*d**2. Let m(o) be the third derivative of -3*o**5\/10 + o**3\/2 + o**2. Calculate m(j(t)).\nAnswer: -72*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 294467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*b*i + 40164*b + 93*i**2 + 2*i with respect to i.\nAnswer: 11*b + 186*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3318?\nAnswer: 2, 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2122011102020 (base 3) to base 12.\nAnswer: 576720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + w**2 - 14*w + 8. Give i(-6).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -p - 0. Suppose v - p*v = 3*s + 20, 8 = -s - 2*v. Solve s = 4*n - 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 4, -15, -56, -125?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 268.945488us to days.\nAnswer: 0.000000003112795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -205907 (base 16) to base 7\nAnswer: -24006410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 296 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 1\/4 (b) -8\/9 (c) 1.198\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-18))\/(7\/63))\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47108?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26129 (base 10) to base 11.\nAnswer: 186a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 721*o - 321550. Give k(446).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 8:15 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*m - 1)*(2 + 2 - 2)*(2*m**2 + 4*m**2 - 5*m**2)*(-3 - 5 + 0).\nAnswer: 32*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 76 + 150*n - 303*n + 151*n - 136*n**2 + 137*n**2 as t + v*n**2 + j*n and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.89 + -9. Let l = 31.89 - d. Let f = -31.38 + l. Round f to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k**3 - 205*k**2. Let y(m) = 3*m**3 + m**2. Determine -l(q) + 2*y(q).\nAnswer: q**3 + 207*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -89*i**6\/3 - 478*i**3\/3 - i**2 + 319. Find the third derivative of r(b) wrt b.\nAnswer: -10680*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*w + 11*w - 21*w)*(-6*w + 4*w + 0*w)*(-2 - 1 + 1).\nAnswer: -136*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 342 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40958 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 83\/6 at least as big as 0.0616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -157123519, -157123518, -157123517, -157123516?\n\"Answer: s - 157123520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (23\/(-23))\/(2\/14)*-104. Solve 9*g = -b + 665 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 + 3*d. Let b(r) = 2*r**3 + 18*r**2 - 4. Let s be b(-9). What is g(s)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 1 - (0 - -24 - (-42 + 66 + -34))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - 297 - 5*k + 297.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2381456 + 2381456 - 375*m**3.\nAnswer: -375*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 720.4688nm in centimeters?\nAnswer: 0.00007204688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -7593.9 and -580.69589.\nAnswer: -8174.59589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0 (b) 1\/6 (c) -3\/5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 21*b + 1. Let n(r) = -r - 1. Give -f(m) - n(m).\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 568*w. Let c(j) = -4*j - 5820 + 2*j + 5820. What is c(z(b))?\nAnswer: -1136*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2076779408?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 73695 to the power of 1\/2, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 3. Suppose 0 = -3*o - 3*p + 12, -3*p = 5*o - k - 10. Let a(z) = 85*z**3 - z**2. Is a(o) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -148799\/9 + 16533. Which is the second smallest value? (a) g (b) 2.4 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 0.1. Let g = 0.1 - s. Let o = -1.311 - -0.811. What is the second biggest value in g, o, 3\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11 + -76)*6\/(-10). Let i be (-6)\/39 - (-32)\/j. Find w such that 0 + i*w**2 - 1\/3*w - 1\/3*w**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -225906191.99999995 + 225906197. Let q = -5 + i. What is q rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.519 + -0.219. What is the nearest to 0 in x, -1, -10?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1344, 1344, 1346, 1350, 1356, 1364, 1374?\n\"Answer: f**2 - 3*f + 1346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -141 + 151 + (17 - 16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (1 - (-1 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 5*p**2 + 2*p. Let i be u(3). Let z = i + 20. Calculate the greatest common factor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46443402 is divided by 603161.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 223.931 + 0.069. Let g = 223.99901 - k. What is g rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4 = s, 5*s - s = t + 9. Solve 5*f = s*g + 4 + 19, -5 = 5*g - 2*f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 3.597 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5166511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a day in hours?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/1 - (-102)\/27) + -4.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -t**5\/80 + 979*t**4\/8 - 958441*t**3\/2 - 29*t**2 + 18*t + 2. Factor a(i).\nAnswer: -3*(i - 1958)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1 = -4. Let c = 19 + r. Suppose -4*i + 108 = -0*i. Calculate the greatest common divisor of c and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2981 is divided by 373.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70 + -69.973. Let u = l - -0.473. What is the fourth smallest value in 4, u, 0, 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24*(11\/(-8))\/((-47)\/188). Calculate the highest common factor of 726 and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 746517755.\nAnswer: 5, 1259, 118589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 17*h - 4. Let t(a) = 73*a + 11. Let x(s) = -131*s - 21. Let z(r) = -11*t(r) - 6*x(r). Calculate -6*b(k) - 5*z(k).\nAnswer: -17*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4620, 5007, 5394, 5781, 6168, 6555?\nAnswer: 6942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/3 + -1 + 1. Suppose k*q - 5*q = 18. Suppose -2*o - 8 = -2*v, q = -3*o + 2*v + 6. Which is the third biggest value? (a) o (b) 12 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 0 - (1 + (-11 - -17 - 8))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 2 + -2)*(-5)\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 17*z**9\/15120 + z**5\/24 + z**4\/4 - 2*z**2. Let a(k) be the second derivative of i(k). What is the derivative of a(p) wrt p?\nAnswer: 68*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/21160 and -15\/1196.\nAnswer: 275080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 2*v - 1\/10*v**5 + 2 + 1\/3*v**3 + 0*v**4 + 0*v**2. Let z(d) be the first derivative of x(d). Factor z(g).\nAnswer: -2*g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*s - 4*s + 0*s)*(2*s**4 + 3*s**3 - 3*s**3).\nAnswer: 8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -29*f**3 + 8*f**2. Calculate b(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nyyjynjyyjynnii. What is prob of picking 1 y and 2 j?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -83 + -40 + 86 - -46\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-4) + 261\/6. Let b = x - 31. Let r = -2 + b. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 215458331 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 41310*r - 85325805.\nAnswer: -5*(r - 4131)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and -204.\nAnswer: 6.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 499074 and 8172.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 5, 10*k - 123 = -c + 8*k. Let h be -1 + 10\/1 + 2. What is the highest common divisor of c and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 754*w - 367*w - 361*w.\nAnswer: 26*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/15872, -21, -4, 1.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 315 or -592.1?\nAnswer: -592.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1382645*f**3*y**3 - 1853092*y**3 with respect to f.\nAnswer: 4147935*f**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-4)*a**(-2)*(a**0)**(-1\/2)*(a**(4\/3)*a**2)**(-2\/101) assuming a is positive.\nAnswer: a**(-1535\/303)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -17*o + 74. Let s be a(-22). Suppose 3*b - 342 = 144. Suppose -2*l + s = b. List the prime factors of l.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 27*g**3 - 17*g**2 - 3 + 12 + 0*g**2. Let f(r) = -7*r**3 + 4*r**2 - 2. Let h(s) = -9*f(s) - 2*i(s). What is the third derivative of h(j) wrt j?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 5 - 5951*b + 1.\nAnswer: -5951*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*r - k, -4*r + 3*k - 14 = -9*r. Let g be 2 + (19 - (1 - (1 + r))). What is the greatest common divisor of g and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2047?\nAnswer: 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -707 in -0.3, -4, -1, -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*b + 121*b + 1110 = 0 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-290)\/(-812))\/((-20)\/(-7))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.102 times 2.9\nAnswer: -0.2958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1608*q*u**3 - 464*q*u**2 - 2*q*u + 30098*q - 52*u wrt u?\nAnswer: -9648*q*u - 928*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c - 10. Let m = -14 + 23. Calculate the least common multiple of m and z(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 19. Suppose -51*o + 45*o + 1500 = 0. Suppose 5*c + o = b*c. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11285 + 29312. What is the hundreds digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 5*j + 21. Let t(s) = 2 + 0*s**3 - 4*s**2 - 5*s + j*s**2 + 2*s**3 + 0. What is the units digit of t(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**9*t**(-11))\/((t*t**14*t*t)\/t**(12\/7)) assuming t is positive.\nAnswer: t**(-121\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1500.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 6*q - 28 = 0, 283 = -4*q + 303 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*c - 7*c**5 + 8*c)*(7 + 59 - 4).\nAnswer: -434*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 18. Suppose -2*o - 2*o - 3*u + x = 0, 4*u = o - 26. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.84, -1.114, 1, 0.2 in ascending order.\nAnswer: -1.114, -0.84, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmr when three letters picked without replacement from {m: 4, r: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 24 = 38. Let r = -32 - t. Sort -4, r, 5 in descending order.\nAnswer: 5, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (294 - 398)*240\/260?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11654208 divided by -5.\nAnswer: 11654208\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 12 = 5*y. Is 28 a factor of 0 - (-53 - 0) - y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 - 23926648*c**3 - 2*c**2 + 23926628*c**3 - c**2 + 6*c**2.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n = 0. Solve -2*u - 1 = -x, n + 1 = x + 4*u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 3*k**4\/4 - 5*k**3\/3 - 5*k**2\/2 - 4*k + 32. Let f(j) = -4*j**3 + 4*j**2 + 4*j + 3. Determine -5*f(y) - 4*l(y).\nAnswer: 8*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -5*l - n, -l - 2*n = -n + 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.26 and -0.01677.\nAnswer: 0.0211302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 276 = 5*a. Suppose 0 = 2*p + p - a. Suppose p = 3*z - 58. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2156 divided by 1078.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8\/201 - -233\/804. Let v(g) be the second derivative of t*g**4 + 1\/2*g**3 + 7*g + 0*g**2 + 0. Find o, given that v(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (5*(sqrt(3) + 2)**2 + sqrt(3) - (sqrt(768) + sqrt(12))\/sqrt(4)))*-1.\nAnswer: -40 - 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5047, -10266, -15487, -20710, -25935, -31162, -36391?\nAnswer: -41622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 6 + 2\/2. Suppose k + 0*i = -z*i + 231, 0 = k - 2*i - 231. Suppose 4*q = 0, k = 5*f + 3*q - 74. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*y = 65962 - 7992. Calculate the highest common factor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 81, 267, 539, 939, 1509, 2291?\n\"Answer: 7*l**3 + l**2 + 134*l - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -6\/3325 (b) -0.1 (c) -5 (d) 0.03 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3 = -i, -2*i - 3*i - 3 = 4*q. Let z be (-6)\/(-28)*(0 + (-42)\/(-7))*-1. Which is smaller: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f + 9 = 2*u + 8*f, -22 = -4*u + 6*f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-30) + 1\/10*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o + 3*o - 4*o)*(4*o**2 + 3*o**2 - 3*o**2) - 2*o**2 - 2*o**3 + 2*o**2 to k*o**3 + l*o**2 + z + f*o and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -25.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6*i + 5)*(54 + 15*i - 54) + (5 + 17*i - 5)*(-i - 3*i + 5*i).\nAnswer: 107*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 35 (b) 0.5 (c) -229 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5048 by 5048.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -7*r + 25. Suppose -3*s + c + 84 = 0, r*s - 3*c = -4*c + 140. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -550\/73 + 6575\/146. Suppose -q - 45*z**3 - 120*z**2 - 5\/2*z**4 - 115*z = 0. What is z?\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 352 - 182. Calculate the remainder when n is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3798a49 + -9?\nAnswer: -3798a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17046 - -17079. Suppose 35 = 4*o + 7. What is the remainder when n is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 6*u + 4. Let i(l) = -2*l**2 - 7*l + 5. Let a(y) = -2*i(y) + 3*o(y). List the prime factors of a(-5).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 132822.7.\nAnswer: 132827.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451897 is divided by 3129.\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 4*m + 16, -3*b + 5*b - 10 = m. Suppose 3*x = 2*w - 26, b*x = w + 2*x - 23. Solve 4*u + 10 = -d, 5*d + 2*u = w*u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1637 + 4913\/3. Let h(u) be the third derivative of -1\/8*u**4 + 0 - 11*u**2 + 1\/60*u**5 - x*u**3 + 0*u. What is h(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 4876?\nAnswer: -487.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -47563 times 0.1?\nAnswer: -4756.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 100128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4 = -2*m, 0*y + 3*m = 3*y - 12. Solve -3*d + y = -2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -44540.76819467 and -0.7.\nAnswer: -44541.46819467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26844?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 820*m + 10416.\nAnswer: -4*(m - 12)*(m + 217)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2. Let j(u) = 0*u + 5*u - 6*u + 0*u. What is j(r(z))?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -6, 0.09, -1\/5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 571745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2. Let x(v) = -840096*v**2. Determine n(x(q)).\nAnswer: 705761289216*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -2. Suppose -2*y + j*n = 2*y - 4, 32 = 4*y + 2*n. Let o = y - 5. Which is greater: 2\/23 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 57. Is d(7) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -17. Let c(p) = 4*p**2 + 14*p. Let l(g) = -4*g**2 - 15*g. Let m(h) = b*c(h) + 4*l(h). List the prime factors of m(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 11*f - 4. List the prime factors of t(2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-447)\/14*24\/(-18). Let t = 4456\/105 - q. Let a = 695.9 + -696. What is the nearest to a in t, -0.4, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f + 1. Let c(m) be the first derivative of -m**2 + m + 1777. Determine 5*c(y) - 6*q(y).\nAnswer: 8*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95580907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 > 397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 7 = 2*h, -21 = -3*q + 2*q + 5*h. Which is bigger: 2\/49 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -219.\nAnswer: -2\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 4118*r**2 + 4119*r**2 - 20589*r**2 + 4119*r**2 + 4116*r**2 + 4120*r**2.\nAnswer: 3*r**2 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(800)*2 + sqrt(8)))**2 + ((sqrt(77)*2)\/sqrt(7) - ((sqrt(55)\/sqrt(5) - sqrt(11)) + sqrt(11))**2*4).\nAnswer: -19393\/441 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2. Let u(t) = -248670*t. Determine a(u(y)).\nAnswer: -61836768900*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9051877 to two dps.\nAnswer: -0.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8773 - -9038. Solve -x*h + 30 = -270*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -8*u**2 - 9*u**2 + 8*u**2 + 9*u**2 - 7*u + 5*u**2. Calculate g(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -3*a + 13. Is (-2 - -1)*1*a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**4 - 5530*j**3 - 2019960*j**2 - 236636640*j + 2573942400.\nAnswer: -5*(j - 10)*(j + 372)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a**2 + 45*a**3 - a + 36*a**3 - 81*a**3 + 2*a**4 in the form w*a**3 + q*a + z*a**4 + n*a**2 + x and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-5)*(16 - 9 - 17). Suppose d*s = -80 + 24. Let y = -1 - -1.2. Which is the closest to 0? (a) 1 (b) s (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r + 18. Let d be v(6). Let c(z) = -2*z - 5. Determine c(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558.799 - -1475?\nAnswer: 2033.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1.84, 28, -2, 2\/7, 0.1 in descending order.\nAnswer: 28, 5, 1.84, 2\/7, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3149, -2, 1 in decreasing order.\nAnswer: 3149, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13515013 (base 6) to base 12.\nAnswer: -1a2a69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*1)\/((-20)\/10)*(-38)\/(-1254).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-60))\/(31\/(-806))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-500)\/(-40)*((-17)\/34)\/((-15)\/2)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 7\/(8 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 l when four letters picked without replacement from lmlmmmmlmmm.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13803\/7 or 2\/7609?\nAnswer: 13803\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 44, -5, 2\/7?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.056 (b) -114 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 20*x + 27. Give l(-6).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43317.\nAnswer: 3, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001705 rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 1593*v - 362. Let a(l) = -2372*l + 543. Let o(m) = 5*a(m) + 7*j(m). Differentiate o(b) wrt b.\nAnswer: -709","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2 + 21 + -7 - 3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 5.47 (c) -14 (d) 0.98\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6710*o + 12159*o - 1925*o + (3 - 1 + 1)*(0 + 0 - 3*o).\nAnswer: 3515*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a + a - 82 = 24*a. Is a at least as big as -343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 2\/3 (c) -2.52 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4032)*-2)\/(sqrt(20)\/sqrt(20)).\nAnswer: -48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/14*-11*(-3400)\/(-9350).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64*a**4*l + 23412*a**4 + a**3 - 2110*a**2 - 639*l wrt a?\nAnswer: -1536*a*l + 561888*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -454, -3731, -12658, -30061, -58766, -101599?\nAnswer: -161386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4\/41 (b) 9 (c) 0.24 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 254828 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 8*n + 9. Is a(16) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 497678?\nAnswer: 497679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*n + 8. Let g(s) be the third derivative of s**5\/60 - s**4\/6 - 13*s**2. Let k be g(3). Is k > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -u + 2 - 4, -5*a = -4*u - 35. Suppose 4*y = -a*n + 3*y + 106, -2*n - 2*y + 76 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-57)\/(-513)*(-2 - 1)\/3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + (sqrt(153)*3*2 - sqrt(153)) + sqrt(153))*6)**2*5.\nAnswer: 1349460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (13 - 2) + -5 + 35243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1386 and -0.2?\nAnswer: 1386.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 10*k + 27. Let u be m(7). Suppose -r + u = 1. Let x(j) = 3*j**2 + 10*j - 15. What is the hundreds digit of x(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 17 - 13) + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -322549241 to the nearest 1000000.\nAnswer: -323000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37411643 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3 + -2 + sqrt(567) + sqrt(567) + 3 + 5)**2.\nAnswer: 144*sqrt(7) + 2284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3 - -1 - (-4 + 13).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a86 + -6?\nAnswer: a80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 271*i. Let w(q) = -4*q**2 - 63*q + 110. What is v(w(n))?\nAnswer: -1084*n**2 - 17073*n + 29810","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-56)\/120*-3*95*1. What is the greatest common divisor of j and 114?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3726 + 3709.63. Let v = p + 15.4. Let h = 0.9700114 + v. Round h to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -16*h + 68. Let q(d) = -15*d + 69. Let a(s) = -4*f(s) + 3*q(s). Let z be a(6). Solve 45*k = z*k - 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -42?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57871 is divided by 219?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -64.\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2713 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 9 - 4 - 27*c as o*c + v and give o.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 239 + -115. List the prime factors of l.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**5\/20 + u**4\/12 + u**3\/3 - u**2\/2 + u. Suppose -3*n - 11 = -2*n. Let o = n + 9. Determine t(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415262884*v**5\/7 - 2906921700*v**4\/7 + 27406779756*v**3\/7 + 4272043916*v**2 + 5869128*v\/7 + 288\/7 = 0. What is v?\nAnswer: -12, -1, -1\/10189, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times -0.22?\nAnswer: -0.0132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3*2\/(-6))\/((80\/8)\/(-2))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.39 or -33?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 35 = t. Let r(b) = -78*b + 1329. Let k be r(17). Calculate the highest common divisor of k and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -124*i**2*r*x**2 + i*r + i*x**2 - 11*r*x**2 - 17*x**2 wrt i.\nAnswer: -248*i*r*x**2 + r + x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*g**3 + g**2 + 9*g**3 + 3*g - 14*g**3 - 5*g**2 in the form a*g**2 + i*g + u*g**3 + f and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)*o*o)**46*(o*o\/(o*o**3))**(27\/5) assuming o is positive.\nAnswer: o**(-284\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/12 - 3\/9. Let f(g) = -g + 1. Let q(m) = -m**3 + 8*m**2 + 9*m - 8. Let d(k) = l*f(k) - q(k). What is d(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 60.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2. Let y(s) = 47*s - 3. Give c(y(t)).\nAnswer: -4418*t**2 + 564*t - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.109, -2, -1, -0.1, -1\/2, 1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 4:04 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*t**5 - 3*t**5 - 2*t**5 + (-4*t + 2*t + 4*t)*(-4*t**4 - t**4 + 0*t**4).\nAnswer: -9*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 14, 23 in ascending order.\nAnswer: 14, 19, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567 is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -213, 4, -22, -1 in descending order.\nAnswer: 4, 1, -1, -22, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 1085*x**2 - 74850*x - 1035 = 0.\nAnswer: -3\/217, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 5:10 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 46336860 to the power of 1\/3, to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/27)\/r**(-7\/4))\/(r*r**(2\/3))**21*(r\/r**4*r*r\/(r*r**(-6)))\/(r*r\/(r*r\/(r**(-3\/5)*r))*r\/(r\/(r**(-1\/8)*r))) assuming r is positive.\nAnswer: r**(-33047\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*o - 783 = 49*o + 1971 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 2*w - 90. Determine p(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7450 and 28600.\nAnswer: 4261400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 6:45 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.14 (b) 0.08 (c) -0.4 (d) 3 (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 2*c + 4*c)*(-3*c + 4*c + 0*c) + c**2 - 1 + 1 + 0*c + 0*c - c**2 + c**2 + 0*c**2 + 0*c**2 - 53568*c - 53525*c + 107163*c - 6*c**2.\nAnswer: -3*c**2 + 70*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 20, 9, -10, -37?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -12. Let w = 0.12 - 5.12. Let r = 16 - 16. What is the nearest to -0.1 in r, d, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -77302 and -154605\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**3 + 2*a**2 - 4*a - 17. Let z(l) = 3*l**3 - 3*l**2 + 5*l + 16. Calculate 5*h(t) + 4*z(t).\nAnswer: 2*t**3 - 2*t**2 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -26 + 31 + -59.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 35 = h + 4*h, 0 = -3*z - 5*h - 15. Let r be z\/(-5) - (-7 + 0). Let o be 0\/(-2) + -3 + r. Solve -20 = -o*m + 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 11 + -35 - -7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**2 - 12*p - 42. Let g be i(13). Suppose 13*m - g = 393. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -10*o + 15. Determine p(4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 + 99. Suppose -j = -5*j + f. Suppose 2*h = v, 4*v - 3*v + 4*h = 12. What is the remainder when j is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*p + 3*p = 3, 0 = -2*p + 8. Which is greater: a or 6\/19?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646.8839ng in tonnes?\nAnswer: 0.0000000000006468839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 170\/(-119)*((-1)\/(-6))\/((-44)\/924).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 116.9 + -139. Let b = -19 - v. Let k = -3 + b. What is the nearest to k in -0.4, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence naun when four letters picked without replacement from {n: 3, u: 6, y: 5, w: 3, a: 2, t: 1}.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18683 + 18688. Which is the nearest to 1.2? (a) -0.1 (b) 6 (c) r (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23176757 is divided by 1622.\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 8203*r**2. Let v(s) = 36*s. Determine a(v(n)).\nAnswer: 10631088*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a factor of 155400932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybbzyybyzb. Give prob of picking 2 b.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/7 - 99229*o\/7 - 7845332\/7.\nAnswer: (o - 99308)*(o + 79)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 7, 1, 10, 0.1, -0.039?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 53.70093ng?\nAnswer: 0.05370093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 691132134 + -691132147.39999834. Let u = r + 13.4. What is u rounded to seven decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 9*t. Let q(f) = -141961*f + 1. Determine h(q(n)).\nAnswer: -1277649*n + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.2*35.\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*n - 4*f, 3*n - 65*f - 1 = -67*f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.21 + -0.21. What is the fourth smallest value in 0.3, 2\/7, h, 1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -4945, 8 in increasing order.\nAnswer: -4945, -4, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 2.23032.\nAnswer: 1.73032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456723531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1504, -1514, -1530, -1552, -1580, -1614, -1654?\nAnswer: -1700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -6. Let p(k) = -8*k + 8. Let c be p(d). Calculate the common denominator of c\/60 - 8\/(-6) and -53\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21310 (base 5) to base 3.\nAnswer: -1222220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -72157000 rounded to the nearest 1000000?\nAnswer: -72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1309.8 + -1310. What is the closest to o in 2\/9, -2\/3, -1\/5, 41?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/5*n**2 - 2\/5*n**3 + 2\/5 - 6\/5*n.\nAnswer: -2*(n - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30.16 + 5.46. Let y = v - -20.7. Which is the closest to -2\/5? (a) -2 (b) y (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1282160 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(-9) - -2)\/((-40)\/60)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16380312853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 7 + -18 + 11\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 - 6*n - 7. Let o(v) = -4*v**2 - 12*v - 13. Let b = 11 + -8. Let q(a) = b*o(a) - 5*k(a). Find h such that q(h) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -502 - 142.2813\nAnswer: -644.2813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -7*c - 105. Give g(0).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) 0 (b) 0.5 (c) -5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2000) + sqrt(2000)*-1)*4)\/((-1*sqrt(324))\/(sqrt(9)*-2*-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/109, 6 in increasing order.\nAnswer: -2, -2\/109, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-6*(-2 + -2 + 2 + 1*sqrt(125) + -4 + 1))**2.\nAnswer: -28800*sqrt(5) + 86400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/588 + 9109\/2940. Let n = -13853\/22 + 630. Calculate the common denominator of p and n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4*r**2 - 4 - 15*r**2 + 12*r**2 - 11*r**2.\nAnswer: -18*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000061307 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 + 6*o. Let f(a) be the second derivative of 0 - 10*a + 1\/6*a**3 + 0*a**2. Let p = 11 - 17. What is p*f(v) + w(v)?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**(-1\/20)*(y*y\/y**(-8))\/(y**(2\/7)\/y) assuming y is positive.\nAnswer: y**(1507\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -407 - -422. What is the smallest common multiple of j and 35?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 306 + 4?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 27 = 3*i, d = -0*i - 2*i + 8. Solve 4*f = f + d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, d: 2, y: 3, z: 1, g: 1, t: 4}. What is prob of picking 1 w and 1 t?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 26*w - 2 = -26*w + b - 4, -4*w + 5*b = 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + y + 3. What is the units digit of l(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -5*u**8\/504 + u**7\/45 - u**6\/90 - 7*u**2 + 11. Let c(a) be the second derivative of n(a). Factor c(i).\nAnswer: -2*i**3*(i - 1)*(5*i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0 + 0)*(-12*u + 12*u + u**3 + (4*u**2 + 2*u**3 - 4*u**2)*(-1 + 3 - 1)).\nAnswer: 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 685704637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370*j - 113 = 257*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -469 + 474. Suppose -25*y = -i - 23*y + 19, x*y - 15 = 0. Calculate the remainder when 197 is divided by i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2055013.2ms in minutes?\nAnswer: 34.25022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150*1*1776\/96?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 19*u**2 - 38*u - 83. Give v(14).\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 at least as big as 194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + (-14)\/16)\/1. Put 4\/11, 0.3, -3, l in descending order.\nAnswer: 4\/11, 0.3, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276840947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*p + 40 = 3*o, -4*o + p = -65. Suppose -4*f = -y - 5, 8*f - 3*y = 3*f + o. Suppose 3*d - 45 - 84 = f. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 524223142 + -2?\nAnswer: 524223140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -45 + 43. Put 1\/5, -0.3, w in descending order.\nAnswer: 1\/5, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 275\/17312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 3*w**2 + w - 10. Let n be x(2). Suppose -4*p + 0*f - 5*f = -8, 4 = 2*p - 2*f. Solve n = 2*b + p*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -99*q**3 + 173*q**2 + 6*q + 4. Give f(3).\nAnswer: -1094","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -3*p**5\/10 + p**3\/6 - 2*p - 3. Let o(q) be the first derivative of i(q). What is the second derivative of o(a) wrt a?\nAnswer: -36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) -5 (c) -8364 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 86*q**4\/3 - 4729*q**3\/6 - 1339*q**2 + q. What is the derivative of h(n) wrt n?\nAnswer: 688","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + (-483)\/2)*-2. Let s = 477 - y. Suppose -4*x = -2*b - 15 - 1, -b - 4 = -x. Solve -x*l + 2*l + 10 = s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + -0.8. Let x = -0.54 - v. Let g = x - -0.54. Which is the smallest value? (a) -2\/7 (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 751*p - 140363. What is c(410)?\nAnswer: -553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19014612 and 15.\nAnswer: 95073060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.933681602 to one dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 1 - 4364*d - 3693*d + 4)*(d**3 + 4*d**3 - 4*d**3) to x*d + u*d**2 + b + o*d**3 + i*d**4 and give i.\nAnswer: -8057","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 14, o: 1, k: 1}. What is prob of picking 1 o, 1 l, and 1 k?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -27735\/68 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2597396336 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6*u + 60 = 2*u, -3*z = 5*u - 35. Suppose 7 = 2*x + 2*a - 7, -2 = -2*x - 5*a. Calculate the remainder when z is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, -111, -301, -495?\nAnswer: -693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 6*z**2 + 4*z + 7. Let q be (6\/(-9) - (1 + 0))*-3. Let x be w(q). Solve -3*t = -i - 3, 0*i + 4*t - 4 = x*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 2*p - 16, p + 2*p = 4*s + 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -22. Let r(u) = u**2 - 2. Let m be r(l). Solve -m*f + 3*f - 1 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -906.964*5\nAnswer: -4534.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o + 18. Is k(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -29. Suppose 0 = x + 3*l - g, -4*l + 8 = 9*x - 4*x. Suppose q + x - 3 = 0. Solve 9 = -q*w, 0*u - 5 = u + 3*w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, 144, -170, -2\/3?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -20*j**3 + 2*j**2 - 2*j - 1. Let r be s(-2). What is the highest common divisor of 19 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-16)\/20 + (-927)\/(-15) + -7 is divided by 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1099 - 1081. Calculate the smallest common multiple of j and 32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9247, -36855, -82855, -147235, -229983, -331087?\nAnswer: -450535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7.59 (b) -2\/81 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q. Let l(t) = 2*t**2 - t + 2405153. Give i(l(s)).\nAnswer: 6*s**2 - 3*s + 7215459","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.34 and -0.07.\nAnswer: 0.1638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*z, 4*i - 6*i + 16 = -3*z. Let f be ((-13)\/26)\/(1\/i). What is the closest to 4 in -0.2, 1\/11, f?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -19*a - 130. Let u(m) = 6*m + 43. Suppose 42 = 5*b - n, 3*b - 3*n - 19 = 11. Let c(j) = b*u(j) + 3*z(j). Find the first derivative of c(o) wrt o.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, h: 1, s: 6, l: 1, m: 3, d: 1}. What is prob of sequence dh?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 1:16 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1182 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: Is 2466339 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 2*z**2 - 38*z + 49. Determine i(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 2\/1679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 95, 55, 15?\n\"Answer: -40*l + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/4 (b) -0.2 (c) 344\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 1 + 1)*(-3 - 25 - 4) + (8 + 7 - 4)*(5*u - 1 + 1).\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6*s + 3*k - 225 = 0, 5*s - 267 = k. Does 18 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/6 - (-48000)\/1800?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/80 and ((-274)\/160 - -2)\/(245\/735).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 184621 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 7*w - 18 + 7 + 4*w**2.\nAnswer: 4*w**2 + 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -9*r**2. Let h be y(-2). Let c = h + 41. Solve -c*u + 15 = 25 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**9\/60480 - q**6\/360 - q**5\/15 + q**2. Let f(k) be the third derivative of n(k). Differentiate f(p) with respect to p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198253*212.\nAnswer: 42029636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 463593?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b - b)*(8 + 6 - 17)*(0 + 1 - 2)*(-b**2 + b**3 + b**2).\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32075?\nAnswer: 5, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -1\/18 (b) -0.5 (c) -1\/9 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7429, 58441, 196897, 466519, 911029, 1574149?\n\"Answer: 7287*o**3 + 3*o + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*2\/(-7)*105\/(-60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 2 + -2 + (-46 - (17 + 21 - 141))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/30 - 7087\/(-20). Let y = 379 - b. What is the common denominator of 95\/16 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + (-70)\/(-15))*48\/(-14). Let h = -1526 + 13732\/9. Which is the closest to s? (a) 2\/7 (b) h (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 2*j - 15 = 0, -3*r + 4*r = 4*j - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(1\/(-1))*-21. Let r = -16 + h. Suppose 0 = -5*t - 2*d + 128, 2*d = -r*t + 7*d + 135. Is t a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 400*f**2*m**5 + 35*f**2 - f*m**5 - 4*f*m + 4*m**2 wrt m?\nAnswer: 24000*f**2*m**2 - 60*f*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o**3 - 2*o**2 + 5*o - 1. Let d be w(-3). Suppose 5*a - 272 = d. Let c = -74 + a. 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 g(l) = 91*l + 4. Let u(q) = 46*q + 2. Let p(k) = 3*g(k) - 7*u(k). Is p(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**3 + 14*z**2 - 16*z + 27. Let g be w(6). Solve g*r - r = -4, -2*r = i + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/6)\/(5\/195). Suppose j*f + 9 = 16*f. Find the third derivative of -q**f - 5*q**3 - 19*q**2 + 40*q**2 - 30*q**2 wrt q.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4*v - 416, 3*k = 2*v - v - 108. Suppose 0 = -3*m - 0*m + 5*z + v, 5*z + 135 = 4*m. Solve -7 = i + 4*l, 3*l + m = 2*i + 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -4*a**3 - 24*a**2 + 4*a + 24 = 0?\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/4 and 107\/204600.\nAnswer: 204600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - -1. Suppose -153 = -5*l - s. Suppose -2*v + l = 3*o + 1, -5*o = -v - 21. Solve -5*x - v*r - 4 = 5, -1 = -3*x - 4*r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 792 times -46?\nAnswer: -36432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 3*t**2 + 3*t + 5. Let w be s(-2). Solve -4*x + 3*c + 10 = -9*x, 6 = -w*x + 5*c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4620 = 52*g + 183*g - 15*g for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(3\/(-12)) - -6. Solve 0 = -r*j + 6*j - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1377 - 1375. Which is the nearest to 0.02? (a) -4 (b) -2\/7 (c) n (d) -3.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-42)\/4)\/(-7))\/((-3)\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 27 = 2*y - 2, 2*x + 17 = y. Suppose -y + 45 = 4*d - 3*p, 5*d - 36 = -2*p. Suppose -r - 3*a = -11, a = 5*r - 31 + d. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.72*11175006\nAnswer: 8046004.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ozeoejppxep. Give prob of picking 3 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**3\/2 - 3*i**2\/2 - 3*i. Suppose 4*x + 24 = 4. Is 5 a factor of y(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-69)\/5)\/(14280\/(-20230)*34\/(-20))?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**4\/24 + 5*m**3\/3 + 3*m**2. Let x = -6814 - -6814. Give w(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/5 (b) -3.9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**3 + 7*i + 0*i**4 - 1 - 7*i - 2*i - i**4 - 4*i**3 to m*i**3 + n*i**4 + o + t*i + a*i**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -408*v + 408*v - 28*v**2 in the form p + i*v + n*v**2 and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -129, -258, -399, -558, -741?\n\"Answer: -z**3 - 122*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.19 - 0.21. Let h = a + -0.7. Round h to 1 dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18187386?\nAnswer: 2, 3, 7, 433033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2 + 247*m - 4231. Give t(103).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31428550 is divided by 383275?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 379721505 to the power of 1\/3, to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 3133*l**2.\nAnswer: 3133*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 20*h**3 - 25*h**2 - 25*h + 25. Let v(r) = -6 + 6*r - 5*r**3 - 29*r**2 + 67*r**2 - 32*r**2. What is -6*l(o) - 25*v(o)?\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvyivyvgiigv. Give prob of picking 3 i and 1 g.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2769.6 + -2768.94189. Round v to three dps.\nAnswer: 0.658","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - g + 15 + 2 = 0, -5*v = -4*g + 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-6))\/(2\/4). Solve l*a - 4*i = 12, -8 = a + i + 4*i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in nanograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2\/7 + 7108*z\/7 + 7104\/7.\nAnswer: 4*(z + 1)*(z + 1776)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (30 + 15 + -28 + 5).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 2*c = -2*s + 37, 13 = -3*c + 2*s + 48 - 66 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1141788 divided by 95149\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p - p**5 - 5*p + (-2*p + 2*p - 2*p)*(-7*p**4 + 3*p**4 + 2*p**4) + 3*p**5 - 2*p**5 - 2*p**5 + 2 + p**5 + 0*p**5 - 14*p**4 + 2*p**4.\nAnswer: 3*p**5 - 12*p**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 84.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0572 minus 0.4?\nAnswer: -1.4572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50747?\nAnswer: 31, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -1411*a - 595. Let i(x) = 47*x + 20. Let d(z) = 119*i(z) + 4*j(z). Let p(f) = -2*f**2. What is p(d(l))?\nAnswer: -5202*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 20. Suppose 100*z - 106*z + 30 = 0. Let t(q) = 5*q - 1. Let f(k) = -9*k + 2. Let m(g) = z*t(g) + 3*f(g). Let h(j) = -j. Calculate c*m(v) + h(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-25)\/4 - 7\/(-28). Is 12 a factor of 12\/8*(-112)\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 - 43. Suppose z + k - 8091 = -4*k, 4*z = f*k + 32244. Let m = -1687 + z. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-56)\/35)\/((-2)\/5). Suppose -2*f - 10 = -q*f. Find the third derivative of -59*d**5 + d**3 + 4*d**2 + 58*d**f - d**3 wrt d.\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -38, 189242 in increasing order.\nAnswer: -38, 0.1, 189242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*(sqrt(1200) + -2).\nAnswer: -160*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*n + 60 = -85 + 39 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(-2)\/((-4)\/1). Let g be -1*(2\/2 - m). Do g and 1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49268?\nAnswer: 2, 109, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 16891*c + 151563. Calculate g(-9).\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/20385 and 179\/9060.\nAnswer: 81540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 10 - 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**2 - 1112*b + 334880 = 0.\nAnswer: -460, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31 + 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*n + 10. Suppose i + 2*h - 3 = 7, -3*i + 3*h + n = 0. What is the second derivative of 19*w + 642 + 7*w**i - 642 wrt w?\nAnswer: 84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**4 - 47858*y**3 - 957858*y**2 - 2442798*y = 0.\nAnswer: -17, -3, 0, 23949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 41, 110, 1, 2, -1 in descending order.\nAnswer: 110, 41, 5, 2, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(370\/(-4820)) - (-84 - -97)\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1\/4, -0.1, -4, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2469 and 66921?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yym when three letters picked without replacement from ymmymyymyy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -207 divided by -353?\nAnswer: 207\/353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -103 + 77 - (6 - (7 + 8))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 + 545 = 4*n + b, 2*b + 273 = 3*n. Calculate the remainder when 646 is divided by n.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*b = -2*d - 16, 5*b = -4*d - 38. Suppose -2*g = 5*v + 2 - 0, -4*v + 4 = 3*g. Let c = v - d. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23109*d**2*t**2 + 4663*d**2 + 3*d wrt t?\nAnswer: 46218*d**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10584 divide 1722408408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 36*x**2 - 134*x + 5949. What is y(35)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 9*h**2 - h - 11. Let x be -2 - (-3 + (-10)\/(-1)). Let a be b(x). Let q be (2 + -1)*(92 - a). Round q to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**4 + 26976*p**3 - 60588069*p**2 - 242703084*p - 182088036 = 0.\nAnswer: -3, -1, 4498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 550 + -554.51. Let u = y - -0.51. Put -24, u, -5 in descending order.\nAnswer: u, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c**2 + c + 1. Let w be b(-4). Suppose 5*l = 8*l + 132. Let g = w - l. List the prime factors of g.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 3*a**2\/2 - 16*a + 2. Suppose 0 = -3*q - 19 + 43. Let g be t(q). What is the highest common divisor of 20 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167405.\nAnswer: 5, 7, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79409 is divided by 54?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1116, -2014, -2912, -3810?\nAnswer: -4708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1017 + 1649. What is the biggest value in 1\/4, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 115 - z**2 - 51 - 52 + 5*z. What are the prime factors of u(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**2 - 9*m - 52. Let s(y) = -y**2 - 9*y + 2. Let k be s(-3). Let x be r(k). Round x to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/351*-120*156\/130.\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 divided by -6447.\nAnswer: -38\/2149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3559903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6163*p**3 + 91*p**2*r**2 + 2*p*r - 408*p - 266*r**2 - 1 wrt p.\nAnswer: -36978*p + 182*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*s + 408 = -s, 4*s = -2*c + 836. Let y(d) = -29*d + 31*d + c*d**2 - 44*d**2. Let k be y(-1). Calculate the greatest common divisor of k and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -8178.\nAnswer: 1\/4089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85 + 187. Suppose 0 = 93*f - v*f + 45. Solve 0 = -4*a + 3*a + f, -5*a = -b - 28 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2966603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*v = -3*j + 9, -3*j - 4*v = -13. Suppose 0 = -4*w - 5*g + 705, -w + j*g = 6*g - 171. Calculate the greatest common factor of 20 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {t: 12, f: 6}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -125 (b) 2 (c) 0.14 (d) -5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2436*c**3 - 2688*c**2 wrt c?\nAnswer: 14616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - d - d + d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6)*f*f\/(f**(1\/11)\/f)*f*f*(f**(2\/5)*f*f*f)**(1\/4))**10 assuming f is positive.\nAnswer: f**(-53\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 68*h**3*j**2 - h**3*j + 113*h**3 + 56*h**2*j - 514*h*j**2 wrt h.\nAnswer: 408*j**2 - 6*j + 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9628596 by -6.\nAnswer: 1604766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-429)\/13 - (0 + 2). Let k = 0 - z. List the prime factors of k.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 775 a factor of 4209025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9218767 divided by -5?\nAnswer: 9218767\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -22*g - 3. Let r be x(-8). Suppose 0*k + 5*u = -3*k + r, 3*k - 163 = 5*u. Let c = k - 57. Sort -2, c, 17.\nAnswer: -2, c, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 less than -3.24?\nAnswer: 156.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.469, 2, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*v - 15*v**2 - 301*v + 99*v + 103*v.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*t*t*t**(-9\/2)*t)*t**(2\/21))\/(t**(-2\/3))**41 assuming t is positive.\nAnswer: t**(391\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1933469625 plus -5?\nAnswer: -1933469630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4087011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*(1 + sqrt(475)))**2.\nAnswer: 90*sqrt(19) + 4284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27057 is divided by 3865.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -281 - -478. Let j = 141 - c. Find the common denominator of (-3)\/(-4) + (-122)\/j and 87\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o. Let b = -64 - -58. Let c be (-4)\/b + ((-4)\/6 - -2). Let s(r) = -4*r**c - 7*r**2 + 12*r**2 + r**2. Give s(m(d)).\nAnswer: 50*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-63)*(72 - -15).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 2\/3 (c) 3782\/13 (d) 0 (e) -1 (f) -0.15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 28, 2, -1\/38 in ascending order.\nAnswer: -1\/38, 0, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-3)\/6 + 2\/(-4)). What is the nearest to g in 1\/3, 0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8133408?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(99) + 0 + sqrt(99)*-1)*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n - 5. Let x(g) = -11*g - 10. Let t(i) = 9*b(i) - 4*x(i). What is t(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g + 6. Suppose g*i = 7*i - 20. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -130.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15796901.\nAnswer: 389, 40609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 4, 1, -112, -4 in ascending order.\nAnswer: -112, -17, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31631414 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100001000001001111 - -1011001?\nAnswer: -110100000111111110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 + 7*k - 7*k - 3*k**2 - 7*k**3 + 2*k**3 + 4*k**3 + 3*k - 3*k - k**3 + 2*k**3 + k - k + (5*k**3 - 5*k**3 + 2*k**3)*(0 + 0 + 1) + k**3 + k**2 - k**2.\nAnswer: 2*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2683 - 2662. Solve -z*c + 18*c = 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.138 * 368362.\nAnswer: 50833.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - s**2 - s - 1. Let x(c) = 8*c**3 - 2*c**2 - 4*c - 6. What is -4*j(b) + x(b)?\nAnswer: 4*b**3 + 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x**4\/5 - 1002*x**3\/5 - 10358*x**2\/5 - 23268*x\/5 + 1296 = 0 for x.\nAnswer: -6, -4, 1\/4, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 32. Find the third derivative of 4*r**2 - 2*r**2 + 0*r**5 - 3*r**5 + u*r**5 wrt r.\nAnswer: 360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -51?\nAnswer: 10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/143 (b) -0.3 (c) -12 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*(sqrt(2057) + (sqrt(2057) - -2*sqrt(2057))*-1 + -1 + 1 + sqrt(2057) + -2))**2.\nAnswer: 176*sqrt(17) + 8240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tmtmippmtm. Give prob of sequence itmp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 914047.\nAnswer: 914047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -1e0448?\nAnswer: -1e044a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**6\/8 + 11*r**4\/12 + 19*r**2. What is the second derivative of h(k) wrt k?\nAnswer: -90*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*s = 4*g - 20, -3*g + 12 = -s. Suppose 3*j - 134 = -g*u, -u + 112 = -5*j + 366. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/15, -0.098, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 289009859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (32\/(-8))\/(1\/(-15)) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 12 = 4*u + 2*o, 0 = -4*u - o - 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 24 = -3*w. Let c(n) = -n - 3. Calculate c(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*p)*(4*p**3 - p**3 - p**3) + (6272*p**3 - 3262*p**3 - 3392*p**3)*(-3*p - 5 + 5).\nAnswer: 1142*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-24)*((-180)\/(-9))\/(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13611244 to the power of 1\/2, to the nearest integer?\nAnswer: 3689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-3))\/(-2)*(-139)\/(38086\/47265)?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffn when three letters picked without replacement from {n: 6, f: 13}.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g + g + 0*g + (4*g - 86 + 86)*(-1 - 3 + 2) to the form h*g + r and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4 = 3*o. Suppose 7 + 9 = -o*k. Let i(p) = -4*p**2 - 8*p - 9. Let h(m) = -5*m**2 - 9*m - 10. Let s(b) = -3*h(b) + 4*i(b). What is s(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6655 - -17?\nAnswer: 6673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -181 divided by 8\nAnswer: -181\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 2*(sqrt(76) + sqrt(76)*2 + sqrt(76)) + sqrt(76) - sqrt(76) - (6*(sqrt(76) + sqrt(76)*2) + sqrt(76)))\/((sqrt(144) + sqrt(144)*1)*3).\nAnswer: -5*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**17\/(t*t**(1\/16)*t)*(t*t\/(t**(-13\/3)*t)*t)\/(t\/(t**(-1\/8)*t)) assuming t is positive.\nAnswer: t**(1015\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (380\/(-30) + 10)\/((-20)\/(-30))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 e when three letters picked without replacement from hhhhehheeehhe?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 g, and 2 n when four letters picked without replacement from {c: 4, g: 1, m: 2, n: 2, f: 4, s: 2}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) -25 (c) 13 (d) 0.5 (e) -3\/5 (f) 0.111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 73.\nAnswer: -15\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 10 + 27 + 21.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.4 (b) -14 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 200 or 44120\/221?\nAnswer: 44120\/221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 252032 - -149\nAnswer: 252181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 2\/5 (c) 2 (d) -115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -1.92, -3, -1, 0.34 in descending order.\nAnswer: 16, 0.34, -1, -1.92, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.470535316 rounded to 3 dps?\nAnswer: 2.471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 - 60\/48.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = d - 9, 0 = -5*m + d + 7. Suppose 2*b + m = 0, 0 = -2*j - 4*b + 3*b + 3. Suppose j*c = 4*c - 20. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 1141567*j**2 + 6*j. Let g(i) = 4*i**2. Give k(g(s)).\nAnswer: 18265072*s**4 + 24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4 - 0. Let i = 83 - 78. Suppose -i*t + 2*b = -19, 3*t - 11 = -3*b + 13. Solve -3*a = -n - f, -n = 4*a - t*n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 14 = -v. Suppose 4*k - 6*l - 9 = -3*l, -v*k - 5*l = -17. Suppose 2*q + k*q - 145 = 0. List the prime factors of q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**3 - 5*h**2 - 11*h - 5. Let t be o(5). Suppose -p - 3*s + 31 = 0, 0*s - t = -5*p + 3*s. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-5 - -3) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*(-5)\/((-30)\/4). Let w = n + 1. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7846\/(-1340) + (-25)\/(100\/(-24)). Let j = -3\/67 + l. What is q in -2\/5 - j*q**2 - 1\/2*q = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1302, 1305, 1298, 1275, 1230, 1157, 1050?\n\"Answer: -u**3 + u**2 + 7*u + 1295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 1189*s**4\/6 + 1030*s. Let h(d) = 4*d. Determine h(y(o)).\nAnswer: 9512*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -5.2. What is the smallest value in i, 1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 684 by 27.\nAnswer: 76\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*m = -116 - 357 + 68 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -14 + -4 - (-1 - -129) - (12 - 23)\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 22*t + 108. Let s be x(3). Let u be (552740000\/s)\/((-2)\/(-6)). What is u rounded to the nearest 100000?\nAnswer: 9500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 135\/11, -0.1054, -8\/3 in ascending order.\nAnswer: -8\/3, -0.1054, 135\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-106 + 0)\/(1\/(-2)). Let w = -230 - -234. Suppose 0 = -w*c + 2*c + g. Is 20 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10843005073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25731 divided by -6.\nAnswer: 8577\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4 - (-12 - -12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 14*i**3 + i**2 - 11*i + 33. Let f be s(6). Let x = f + 4654. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-6)*69\/(-575)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + (1 + sqrt(272) - sqrt(272)) + 4)**2 - sqrt(272) - ((sqrt(85)\/sqrt(5))**2 + -1)*1.\nAnswer: 36*sqrt(17) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.1, 4034 in descending order.\nAnswer: 4034, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-76) - (-4944)\/38. Find the third derivative of -5*m**2 - 2*m**2 + y*m**3 + 3*m**2 + 0*m**2 wrt m.\nAnswer: 780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*r = 40617, 0 = -4*q - 56*r + 52*r + 162348. List the prime factors of q.\nAnswer: 2, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyycyyy. Give prob of sequence cy.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1786 is divided by 72.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3406?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-14 + -9) - -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 15*d + 18 to the form a*d + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 25, -5*s + 4*p = -4*s + 7. Suppose 1112006 = 4*m + s*o - 15*o, 2*m - 3*o = 556009. Round m to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - ((sqrt(156)*-3 - sqrt(156))*5 + sqrt(156)))\/((3*sqrt(132) + sqrt(132) - sqrt(132) - sqrt(132))\/sqrt(11)).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6*c**2 + 7*c - 21. Suppose -164*r + 161*r = 36. List the prime factors of m(r).\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*i = 8, 0 = u - 3*i - 11 + 6. Let d = -2 - -3. Let h = -13 - -18. Solve 2*j + d + 7 = -u*a, -j + 8 = -h*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -11*h**3 + 6*h**2 + 18*h + 9. Determine q(-2).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2890800340.\nAnswer: 2, 5, 2081, 69457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 75.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4475 and 57459?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*p - 0*p + 22, 4*p + 2*t = 10. Let u(x) = -3*x - 6 + p - 1. Let a(y) = -3 + 7*y + 8 + 2. Determine 2*a(f) + 5*u(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, d: 1}. What is prob of sequence cd?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2630 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: In base 9, what is 446 - -3?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - (-2486)\/154)\/((-40)\/525*3)\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2*(-279)\/(-18).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-72)\/434 - (-2)\/(-7). Let k = r + 949\/248. Let n = 278310 + -278307. Which is greater: k or n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -c - 2. Suppose 3*g = -g + 8. Suppose -4*q - 3*f - g = 3, -5*q - 50 = -5*f. Sort 1, c, q.\nAnswer: q, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -23*m + 19*m. Suppose -2*y + 5*t + m = 0, 4*y + 11 = 5*y + 2*t. Calculate the highest common divisor of 45 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 202 - 187. Calculate the remainder when 18 is divided by (25\/g*6)\/(0 + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 226 + -213. Let a(v) = v**2 - 2*v + 2*v - c*v**2. Let g(k) be the second derivative of -k**4\/6 - k. Calculate a(g(m)).\nAnswer: -48*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v\/(v**3*v)*v))**(-13)\/(v**8*v\/(v**(1\/10)*v)))**30 assuming v is positive.\nAnswer: v**(-1017)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 8 + 2 = 0. Suppose -u*x + z = 7 + 113, x + 70 = -2*z. Let w = 177 - x. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1234300 and 200?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - 8. Does 17 divide ((-34)\/(-3))\/2*(k + 33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5422)\/(-4)*(-3 - -5). Suppose z - n - 108 = 436, -5*z + 2*n = -p. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -21*c - 3 + 52*c - 25*c. Let b(k) = 3*k - 2. Determine 7*b(r) - 4*z(r).\nAnswer: -3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -13*j + 11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1185 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1920*i**3*j + 63313*i**3 - 155*i + 346820*j wrt i?\nAnswer: 11520*i*j + 379878*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 41\/3527?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/11 (b) -0.8 (c) -3\/5 (d) -1 (e) -60\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 20 = 6*b. Let t = -4 - b. What is the common denominator of (-116)\/t + (-2)\/6 and 97\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 231 + 22*t**2 - 5*t**2 - 348 + 231 to a*t**2 + u + p*t and give u.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(220)\/(sqrt(35)\/sqrt(112)))\/(sqrt(400)*1*-6) + 2.\nAnswer: -sqrt(11)\/15 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253988 divided by -5404.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1524 equal to 1521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69 - -1. Is f greater than 71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*q + 0*q = -17182 - 90894. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 18767330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*h**2 + 59 - 221 - 56*h**2 - 109 + 42*h**2 as a + o*h + w*h**2 and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36 - -47) + (3 - (1 - -2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-9) + 122\/6. Suppose -2*t = p - 114, -2*t + n = -2*p - 100. Suppose -6 = m - t. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 - -74. Let n(l) = l**2. Let d(r) = -6*r**2 - 8*r - 8. Let u(h) = f*n(h) - d(h). Factor u(y).\nAnswer: 2*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34193, -69031, -103869, -138707?\nAnswer: -173545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 95881.41km in millimeters?\nAnswer: 95881410000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3517, -3398, -3281, -3166, -3053?\nAnswer: -2942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3.80176*-0.4\nAnswer: -1.520704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9686262ml in litres?\nAnswer: 0.0009686262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.52 greater than -3452\/3201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.025 or -991569?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 2*h + 25. Let l(g) = -2*g**2 - 3*g - 28. Let a(x) = 5*i(x) + 3*l(x). Calculate a(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - (2 - 0))*3. Suppose -2*u - v = -3*u. Suppose -u*i - 16 = -154. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18750566.\nAnswer: 2, 23, 407621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4214.69896528 - -4214.7. Round s to 5 decimal places.\nAnswer: 0.00103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/2))**43\/(t**0\/t*t**(-1\/3))*((t*t**(-4\/9)*t)\/t**(-3))\/(t\/((t*t*t*t\/(t*t*(t*t**1)\/t)*t)\/t*t)*t*t)**(-2\/19) assuming t is positive.\nAnswer: t**(9403\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -686850 or -686830?\nAnswer: -686830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 + (-6 - (-7 - -4)). Suppose 0 = c*r - 22 - 3. Suppose x = -v + 44, -5*v - r*x + 219 = -x. What are the prime factors of v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, n: 1, c: 1, q: 1, g: 2, h: 1}. Give prob of picking 1 h, 1 a, 1 c, and 1 g.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*2*4 - sqrt(204))\/((sqrt(24)*2)\/sqrt(2)) + ((sqrt(119) + sqrt(119)*-1)*1)\/(sqrt(175)*2).\nAnswer: 7*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 19*d = 425280. What is d rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118013818 rounded to the nearest 1000000?\nAnswer: 118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 166298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 10*l**2 + 8*l - 24. Let a be (-4)\/(48\/4)*(-99)\/(-3). What is the lowest common multiple of 3 and z(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -14. Let l(u) = -u**3 + u**2 + 4*u + 3. Is 2 a factor of l(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 3*u + 4. Let a be r(0). Suppose -7 = -a*z + 9. Let k be 0 + (7 - z - -34499997). What is k rounded to the nearest one million?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -46 and -63.45?\nAnswer: 2918.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 - 409*l - 421*l - 8*l**3 + 830*l to z*l**2 + x*l**3 + v*l + s and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -14*w. Let x(n) = -3*n + 2*n + 5*n - 2*n. What is x(u(h))?\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*f. Let i be 2 + (f - 13) + 2. Let b be i\/(-6)*(-6)\/9. Which is bigger: b or 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 - (4 - (1 + 0)). Let r be 5 - -8*27\/(-72). Suppose -r*t + d + 1704 = -d, 0 = -f*t - 3*d + 3380. Round t to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 7:34 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 446 = 3*t, 0 = 3*t + 2*l - 94 - 355. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 177 + (-1*(33 - 5))\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d = 27 - 82 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-33) - 10\/55. Let q be 2 - (k - 3)*1. Let t = q + 19. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 36*w**2 - 69*w + 3 + 148*w + (3*w + 0*w - w)*(-3*w - w + w) to the form l*w**2 + o + k*w and give l.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 3)*(-11 + 11 - 6*s)*(-2 + 1 - 1)*(-4 + 1 + 1) as m + l*s and give l.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10491?\nAnswer: 3, 13, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**5)**(2\/29)\/((l**1*l)\/(((l\/(l\/(l**(-14)*l)*l*l))\/l)\/l)) assuming l is positive.\nAnswer: l**(-541\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(131*y + 79*y - 86*y) + 3*y + 0*y - 6*y.\nAnswer: 245*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/85478625 and -89\/123469125?\nAnswer: 1111222125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/735 and 89\/315.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**4\/5 - 9976*k**3\/5 + 1246000*k**2 - 12420128*k\/5 = 0. Calculate k.\nAnswer: 0, 2, 1246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 75*p - 42. Let c(t) = 66*t - 52. Calculate 4*c(q) - 5*u(q).\nAnswer: -111*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**3 + 23*c**2 + 59*c - 197. Give k(2).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*(-10)\/10*(-1)\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*w**4 + 2*w - 3*w**4 + w - 15 + 18*w**4 wrt w.\nAnswer: 144*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 187 + -187.4. Suppose 5*p + 8 = -7. Let u be -4 + (p - 0) + 3. Which is the nearest to u? (a) -4 (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1683199839860953\/165615 - -10163329649. Let r = x + 86\/305. Find the common denominator of -117\/10 and r.\nAnswer: 5430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}