diff --git "a/data/dm_maths/full_data_1/10569_11255.jsonl" "b/data/dm_maths/full_data_1/10569_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10569_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate prob of sequence gogq when four letters picked without replacement from ggqgoqq.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 353861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3684665 is divided by 1201?\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t + 0*t + t**2 + 0 - 3)*(-2*t - 2*t + 2*t) in the form m*t**3 + y*t + c + z*t**2 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 1039*f**5\/60 + 597*f**3\/2 - 59*f**2 - 8. Find the first derivative of q(u) wrt u.\nAnswer: 2078*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340778 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -128900 rounded to the nearest one thousand?\nAnswer: -129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**4\/12 + x**3\/6 + x**2\/2 + x - 64. Let r(u) = 5*u**3 - 2*u - 2. Calculate -r(c) - 2*t(c).\nAnswer: -5*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -247, 5, -18, -4.\nAnswer: -247, -18, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1255, -1256, -1257?\n\"Answer: -a - 1254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/((-168)\/7)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-1117\nAnswer: -1117.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/2)\/((-1)\/10). Suppose -17 = -0*q - 4*q - h, h - p = -q. Find the third derivative of -q*n**4 + 5*n**4 - 2*n**2 + 1 - 1 wrt n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s**14*s)\/s*s*s)\/s)\/s*s*s)\/s)\/(s*s**(3\/14))*s\/(s\/((s\/(s\/s**14))\/s))*s*s*s\/(s**(13\/5)*s) assuming s is positive.\nAnswer: s**(1833\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -449.4 + 502.4. What is the nearest to a in 0.4, -0.3, -0.4, -0.03?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.306*2954\nAnswer: 903.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 14 = -4*u - 5*q, u - 25 = -2*q. Are u and 15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 772.99 - 789. Round v to 1 decimal place.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5652.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -81, -96, -133, -204, -321, -496, -741, -1068?\n\"Answer: -2*h**3 + h**2 - 4*h - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 12:49 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 12*n**2 - 112. What is m(3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 43*p**2 - 1662*p - 15471. Determine h(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -391 + 397. Let f = 2 - 2. Suppose -h + 0 + 1 = f. Solve h - g = -5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, -3, 0, 10, -1 in decreasing order.\nAnswer: 10, 0, -1, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -45*y - 581. Determine c(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3852 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5617 + 1117 = 0. Does 30 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 134740?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 14 + -3 + -10 + (-11 - 0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 15*c + 0 - 6 + 2*c.\nAnswer: -13*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/3037723 and -85\/9814182.\nAnswer: 127584366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15639 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/104*56 + (-130)\/18?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/39 in 0.5, -2\/5, 3\/5, -3, 8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s - 5. Let t = 71 + -119. Let a(q) = 2*q**3 - 6*q**2 + 8. Let u be a(4). Let p be (-30)\/9*t\/u. Give o(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1.6, -9\/2, -0.06, -7\/4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1635 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6*r**2 + 7625*r - 3766*r - 3641*r)*(0*r + 5*r - 4*r).\nAnswer: -6*r**3 + 218*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 470047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4409886 at least as big as -4409889?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.25? (a) 1\/4 (b) 2\/11 (c) 3 (d) 1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -14917*d + 35. Let n(t) = -1242*t + 3. What is 105*n(z) - 9*o(z)?\nAnswer: 3843*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.098996804 + -1.099. Round u to seven dps.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57829.\nAnswer: 57829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5669\/2896 + -19\/181. Let p be (98\/(-3))\/(4\/(-354)). Let x = -40569\/14 + p. Find the common denominator of x and m.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**2 - 18*r + 4. Let i be g(-6). What is the highest common factor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*o + 1408 = -38*o. Sort 0.2, -0.2, o, -1\/2 in decreasing order.\nAnswer: o, 0.2, -0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/9)*g\/((g\/g**(2\/5))\/g))\/(g**11\/((g*(g\/g**(-1\/21))\/g)\/g)) assuming g is positive.\nAnswer: g**(-2729\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -67, -151, -269, -421, -607?\nAnswer: -827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13252 (base 6) to base 11.\nAnswer: 15a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -979, -1, -1\/293?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-3))\/((-2)\/42). Suppose 3*r + 237 = 5*f - 142, 3*r = -2*f - 365. Let x = -46 - r. Calculate the greatest common factor of x and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*f**3 + 3662*f**2*s*v**2 - 14*f**2*s + 2*f*s*v**2 + 68803*s*v**2 - 10*s wrt f.\nAnswer: -102*f + 7324*s*v**2 - 28*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 3474379\nAnswer: 1\/3474379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ad3f + -75?\nAnswer: 1acca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.4194976 centuries?\nAnswer: 503.39712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23154324 (base 8) in base 15?\nAnswer: 697349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 79446211 to the power of 1\/2, to the nearest integer?\nAnswer: 8913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 10*s**2 - 12*s + 37. Calculate x(-7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 3, b: 7}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 286877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - -28164.\nAnswer: 28174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1410 + 1781. Calculate the remainder when 1117 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10819 to the nearest 100.\nAnswer: -10800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = l + 5*y, 4*l = -12*y + 9*y + 174. Is 51\/l - 1 - (-28963)\/15 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zazzggggzgag.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**6 + 8066142*f**4 - 2*f**3 - 62*f**2 + 39109 wrt f?\nAnswer: 120*f**3 + 193587408*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**2 - 52*j - 8. Let s(k) = 6*k**2 + 51*k + 10. Calculate 5*n(t) + 4*s(t).\nAnswer: -t**2 - 56*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f - 4. Let u be y(-2). Let k(n) = 0*n + n + 7 + 3 + u*n. Let p be k(-5). Solve -p*d = -3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 52 + 38 = 0. Suppose -5*h = -0*h - m. Let u be (6\/h)\/(3\/18). Solve -3*p = 5*v - 10 - 6, 4*p - 16 = -u*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 10*p**2 + 9*p - 1. Let d be s(-9). Suppose 7 - 2 = 5*h. Let k be 1\/(-3) + h\/(-15). Is d greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 552*b - 3754 = 4526. What is the greatest common divisor of 36 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -11, -35, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/165 - (-875)\/1485. Which is bigger: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 0*o + 0 - 1\/30*o**5 + 0*o**3 - 1\/24*o**4 - 2*o**2. Let j = 2731 + -2728. Give n(j).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yiyiyy. Give prob of picking 3 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006775988 to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/(-40) + 344\/(-10). Let a(c) = 8*c**2 + 5*c - 19. Let y be a(3). Let o = p + y. List the prime factors of o.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190, 1222, 3788, 8578, 16282, 27590, 43192?\nAnswer: 63778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2974 + -3.686220037?\nAnswer: -3.388820037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*r + 11*r - 72. Solve -46*h + 50*h = r for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**3 - 3*v**2 + 7*v. Determine q(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 27*r**2 - 118*r + 59. Let k be g(-22). Solve -k = 6*n - 241 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 32 = 5*i, i + 14*a - 9*a + 4 = 0. Put 1, 39, -4, -3, i in ascending order.\nAnswer: -4, -3, 1, i, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 + (-260)\/(-3) - (-8)\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 441 divided by 49\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4828079, 9656063, 14484033, 19311983, 24139907?\nAnswer: 28967799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -a**5\/120 - 3*a**4\/8 - a**3 - 1. Let m(l) be the third derivative of x(l). What is m(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (3 - 2) + -3. Is 0 + 1 + j - -10 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t - 1. Let n(s) be the first derivative of 7*s**2 + 164*s - 26. Let y(g) = -8*c(g) + n(g). What is the units digit of y(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 91.94, 190 in descending order.\nAnswer: 190, 91.94, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13737 times 0.0075?\nAnswer: 103.0275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/3 (b) 3 (c) -15 (d) 0.4 (e) 1 (f) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 3, -0.4.\nAnswer: -0.4, 3, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 16469.5 and 19786.387.\nAnswer: 36255.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/4 of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/(-9))\/(1\/(-3)). Suppose 2*o - f*b = -o + 65, 3*o + 2*b - 53 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bkkkddk. What is prob of sequence dkb?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*n**2 + 0 + 32\/5*n.\nAnswer: 2*n*(n + 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43473, 43471, 43469, 43467, 43465?\nAnswer: 43463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44670 divided by 3.\nAnswer: -14890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*a = -1590, 3*a = 2*c - 4254 + 1048. Calculate the smallest common multiple of 800 and c.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72053 - -72053. Let x = -3.93 + -0.07. What is the second smallest value in x, 1, q, -14?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18395 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -3*v + 275. Let d = v - 70. Factor -5*g**2 - 7*g**3 - 1 + 9 + 8*g**d + 17*g + 15*g**2.\nAnswer: (g + 1)**2*(g + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -0.4, -0.15, 1 in ascending order.\nAnswer: -0.4, -0.15, -0.04, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 497*g - 496*g. Let m(q) = q**3 + 5*q**2 + 3*q + 4. Give m(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8025058 = -10*v - 8024798 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 330 and 6534.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 77 + 3765*c**4 - 1884*c**4 - 1884*c**4 - 3*c**4 - c**4 + 3*c**4 + (-4*c**3 + 0*c**3 + 2*c**3)*(-c - 1 + 1) + 3 + 3*c**4 - 3.\nAnswer: c**4 + 77","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 708 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1340 = -4*i + 268. Let x(j) = 693*j**3 + 1. Let a be x(-1). Let w = a + i. Round w to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15 or -11\/839?\nAnswer: -11\/839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2311*g - 2359*g = -390720. List the prime factors of g.\nAnswer: 2, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/11)*q**5 assuming q is positive.\nAnswer: q**(58\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p**2 - 2*p - 1. Let h be 18\/30*(4 + 1). Let r be s(h). Let g = 73 + r. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14\/5 - 4)\/((-9)\/(-30)). Let x(r) = -2*r**3 - 8*r**2 - 3*r - 6. Let y be x(d). What is the third derivative of -4*o**6 + 3*o**2 + 2*o**6 + o**y wrt o?\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 - 22)*(-34 + 12 + 15 - 3*i).\nAnswer: 87*i + 203","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-1) - -4)*(-65)\/208*-8. Solve -c - 8 = 2*c + 2*b, s*b - 22 = 3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**4 - 4 + 4)*((6 - 4 - 3)*(4*g - 2*g + 0*g) + 23232 - 23232 - 357*g).\nAnswer: -718*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*y, 5*y = 4*i + 1 - 7. Let b(n) = -n + 1. Let u(x) = 7. Give y*b(g) - u(g).\nAnswer: -2*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhz when three letters picked without replacement from zzh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1070 and -0.1.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*c = 63*c - t + 2, -2*t + 4 = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -75*n**2 - 373*n + 15. Let z be f(-5). What is the third smallest value in z, 21, -1, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - 2) + (12 - (-15 + 9 + 11)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7108578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -268, -536, -804, -1072, -1340, -1608?\nAnswer: -1876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6671*d**5 + 12*d**2*l - 64157*d*l wrt d?\nAnswer: -133420*d**3 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**5 - 274934*r**4 - 14*r**2 + 30307262*r wrt r.\nAnswer: 40*r**3 - 3299208*r**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 3*t**2 - 5*t + 3. Let n be i(-4). Let k = n - 27. Let o = k - 7. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5.62 and 0.2?\nAnswer: 5.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 1\/109?\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1953189 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -458.6798*-8.\nAnswer: 3669.4384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-1\/7))\/(r**5\/r))**(-14\/9) assuming r is positive.\nAnswer: r**(40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -132.00285 + 132. Round o to four dps.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 6\/37 (c) 62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.128286 rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (17 - 155\/10)\/(3\/32). Solve -2*f = -2*r + b, r = -28*f + 32*f + 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*d - 2280 + 2023 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 331 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9247*o = -9237*o - 480. What is the lowest common multiple of o and 204?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*c - 4666 = 0, 3*c - 11651 = 19*j - 24*j. What is the thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 167 - 77. Suppose -5*p - 2*x + g = 0, -5*x = p + 3*p - 89. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 2788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 6 = l, 106 = 3*x + 2*l + 108 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 4*r + 27, h - r = -6*r + 18. Suppose 0 = -h*c + 4 - 1, 4*c - 4 = 2*w. Let v(z) = w*z + z - 4*z. Let j(a) = -2*a. Calculate v(j(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1764\/63 - (0\/2 + 1). Let g be (h\/15)\/((-2)\/(-10)). Let d be 1 + (3 - (g - 0)). Which is the third biggest value? (a) -1 (b) -2\/7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/2991317 or 0?\nAnswer: -3\/2991317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.4, -6\/11 in ascending order.\nAnswer: -6\/11, -0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 0 - 5*g - 1\/10*g**6 + g**2 + 0*g**5 + 0*g**3 + 0*g**4. What is the derivative of h(l) wrt l?\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.550135 - -2119.\nAnswer: 2118.449865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -195 + -198. Calculate the common denominator of b\/132 - 5\/60*3 and (-2 + 160)*(-1)\/(-44).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -8*c + 25. Suppose 35*t - 37*t = -6. Let g be x(t). Solve 2*i + 3*y + g - 5 = 0, 2*y = -i + 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 4*c - 4. Let t(x) = -2 + 5 - 3*x + 0. Suppose -z = -2*z - 2. Let a(o) = o - 9. Let g be a(6). What is g*t(v) + z*l(v)?\nAnswer: 2*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21748584 divided by -3.\nAnswer: 7249528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 19*p + 6. Let i(o) = 60*o - 40*o - 59*o - 12. Let v(f) = -6*i(f) - 13*u(f). List the prime factors of v(-7).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 + 18*c + 154. What is q(14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6*z - 4. Calculate the lowest common multiple of o(4) and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 0 + 0)*((-5 + 3 + 4)*(-3*c - c + 5*c) + 0*c + 2*c - 4*c + 4*c - 6*c + c + (0 + 0 + 2)*(-2*c + 4*c + 0*c) - 3*c + 3*c - 2*c - 7*c - 4*c - 4*c).\nAnswer: -42*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/q**(-3\/7))\/(q**(-6\/13)*q))\/((q*q**(1\/2)*q)\/q*q*q*(q**(7\/2)*q)\/q) assuming q is positive.\nAnswer: q**(-374\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 46*d - 47*d + 24, 0 = 4*l - 6*d + 46 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 194 - 47. Let l = t + -93. Is 27 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-11)\/(-4) + -2)*(-8)\/(-3). Suppose 7*v - 10 = 3*v + 3*g, 0 = -v + r*g. Suppose 3*d - 5*w - 3149 = 874, -v*d + 2*w + 5378 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.48 + 16.9?\nAnswer: 11.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -22 and 1\/16 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 30 + 2 = 0. What is the greatest common divisor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24*12\/(-126))\/(2\/(-7)) + (-273)\/(-36)?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6707\/8900 + 8\/2225. What is the fifth smallest value in 1, -3, -2, v, -2.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.42304 micrograms in milligrams?\nAnswer: 0.05742304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 254?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 12+-7840349852\nAnswer: -7840349840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + -2 + sqrt(1331) + 1 - 6*-3*(sqrt(11) + -4))**2*3*-5.\nAnswer: -343935 + 87600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4213*g = 1722*g - 2030*g + 241913 - 62283 for g.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*x, -6*x - 8002 = -5*g - 5*x. What are the prime factors of g?\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124498 rounded to the nearest one thousand?\nAnswer: 124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.16 - 0.16. What is the biggest value in 3, 1\/8, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 86*3*1\/6. Let b = 130\/3 - z. Let a = 1.28 + -3.28. What is the closest to a in b, -0.1, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o**3 - o**3 + 6*o**3.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3552)\/(-672) + 4\/(-14). Suppose 3*o = -4*u + 35, -4*u - 5*o = -8*o - f. Solve 69 - 54 = -u*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1032 = 7*o - 2146. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593812 + 71618 = 9088*t + 386606 for t.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 142465153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 12:57 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 1. Let u be o(-1). Suppose -59*y + 45*y = -70. Find the third derivative of 7*a**6 + 0*a**u + y*a**2 - 5*a**4 + 5*a**4 wrt a.\nAnswer: 840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2291ff (base 16) to base 13\nAnswer: 6142bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62531492?\nAnswer: 2, 281, 55633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/239064 and -89\/120?\nAnswer: 1195320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**3\/9 - 20*l**2\/3 + 187*l - 7564. Factor d(a).\nAnswer: -(a - 11)*(a + 51)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 158826537.\nAnswer: 476479611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*o = 196*o - 1780000. Round o to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - g + 2*g)*(0 + 8 - 1)*(-g**4 + g**3 - g**3).\nAnswer: 7*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**2 + 1\/6*b**6 + 0 - 7\/12*b**4 + 1\/2*b**3 - 3\/20*b**5 - 5*b. Factor h(f).\nAnswer: (f - 1)**2*(f + 1)*(5*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*t - 13 = -2*t, 4*t - 12 = 4*g. Is g equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*u + 6*u. Suppose 0 = 380*r - 381*r + 14. Solve 3*l - u = r for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5367.34 to the nearest 100.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - q**2 - 4*q + 3. Let o be f(2). Let p(r) = -6*r - 1. Calculate p(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of q**3 + 19*q**2 - 494?\nAnswer: 3*q**2 + 38*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyrvlyhlhy. What is prob of sequence hlr?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*t - 312, -3*j = -0*t + t - 468. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -r + 3. Let w be -10*(-3)\/(30\/4). Suppose w*i - 10 = k, -2*i - r*k + 10 + 2 = 0. Solve -5*d + i = -2*c, 3*d + 5*c - 2*c - 6 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from zzzc.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24432000 divided by 1527000?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2. Let d(g) = -4*g**2 + 2*g + 2. Let n(c) = d(c) + 6*v(c). Calculate n(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32.271 * 4.19\nAnswer: 135.21549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**3 + 6*k**2 + 8*k - 89. Give n(0).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 15, w: 4}. Give prob of sequence ff.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 301424 - -20?\nAnswer: 301444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -712, -2459, -5220, -8995, -13784, -19587, -26404?\n\"Answer: -507*t**2 - 226*t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 11367 + 1.0873991.\nAnswer: 11368.0873991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millisecond in microseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 5:12 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 24. Calculate the smallest common multiple of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i**2 + 10 - 10)*(-2*i**2 + 3*i**2 - 3*i**2) to f*i**4 + r*i**3 + v + x*i + w*i**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.4287 * -2\nAnswer: -0.8574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -11*f + 4. Let n(z) = 98*z - 35. Determine 35*g(r) + 4*n(r).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15623, -31248, -46873, -62498, -78123?\n\"Answer: -15625*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13479276 or -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15890 and 662613.\nAnswer: 6626130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -111 (b) 0.04 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from qqxxqxxxxxxqxqqq.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 3*j - 20*j + 6*j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 386712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 459?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (825\/(-80300))\/((-9)\/(-24))?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -383574*f + 3068599. What is s(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -429.3 - -429.4. What is the nearest to b in 1, 1.1, -1\/6, -0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**3 - 3*w**2 + w + 2. Suppose -15 = -7*x + 27. What is the remainder when k(2) is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19103 * 14513.\nAnswer: -277241839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 29 = -n, 53 = 2*n + 4*k - 21. Suppose -n*g + 55*g = 2210. What is the greatest common factor of 17 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 57*i = 17*i + 150164. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 308 and 616.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 113.943 + -114. Let b = -0.0492 - d. Let v = -0.01 + b. What is v rounded to 4 dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -4. What is the second derivative of a**4 + a - a**q + 0*a**4 - 2*a**4 wrt a?\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a week in hours?\nAnswer: 2604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7006, 6324, 5634, 4930, 4206, 3456, 2674, 1854?\nAnswer: 990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 2*s - 12, s = -l + 4*s + 5. Factor -102*a + 2*a**l + 90*a + 2*a**2.\nAnswer: 4*a*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**3 + 258*t**2 - 258*t**2 - 6*t**3 + 0*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 0*v**2 - 3*v + 3*v**2 - v**2 + 1. Let q be j(4). Let r be 15 + -16 - (-3)\/q. Sort -1\/3, 0.3, r.\nAnswer: r, -1\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26429\/3 - -8810. Which is the biggest value? (a) 3\/5 (b) -0.087 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1560*j - 279*j = -3170*j - 253707 for j.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 707 a factor of 10607545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -319 + 622. Is 50 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.11 + 4.89. Let h = -185 - -194. Suppose s - 7 - 3 = 2*l, 3*s - h = -l. What is the second smallest value in s, a, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439*j - 688*j + 8206 = -381*j for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2854*a + 343*a + 68*a.\nAnswer: 3265*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + -8 + (13 - 45) + (19 - 0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.7 and 2895.6?\nAnswer: -22296.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87388850?\nAnswer: 2, 5, 389, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x**2. Let g be (0 - 3\/(-2))*2. Let u(w) = w + 3*w + g*w - 6*w. Calculate u(f(c)).\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 72\/(-4 - -8)*(-16)\/(-12). Calculate the highest common factor of 408 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 110001100010 (base 2) in base 6?\nAnswer: 22402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3839 - 18973. Let t = a - -9302. Round t to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10418 - 118545.\nAnswer: -108127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/4*((-104)\/(-91))\/(50\/(-140)*12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 11:38 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*1*11511\/12. Let p = c - -91985\/12. Find the common denominator of p and -87\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 6:38 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, x: 7, o: 3, t: 5, c: 1}. Give prob of picking 1 c and 2 u.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8630 divided by -1.\nAnswer: -8630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3733\/6 or -2\/4053?\nAnswer: -2\/4053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*w - 102*w = 55*w + 352*w - 61803 for w.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*z + 2*y - 5, 0 = z + 5*y + 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5909 or -5908?\nAnswer: -5909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -509, -2269, -5209, -9329?\n\"Answer: -590*l**2 + 10*l + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 13 - 46. Let l(f) = 15*f - 2*f**2 + 6 + y*f**2 - 6*f. Let j(n) = -n**2 - n - 1. Let a(t) = -5*j(t) - l(t). Factor a(c).\nAnswer: -(2*c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 2*n + 2. Let j(i) = 2 + i + 6 + 7 - 14. What is -2*j(x) + z(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 359*w + 1. Let y be z(1). Suppose 116 = 4*h + y. Let m = h - -61. Solve m = -2*p - 4*x + 10, -p - 4*x = -x - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 124 - 31 - 95 - 48*a**2 + (-a + 2*a + a)*(-2*a + 3*a + a).\nAnswer: -44*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28.47 + -12.47. Sort f, 2, 33\/8.\nAnswer: 2, 33\/8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y**3 + 3 + 0 - 3.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 121126477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2055647, -2055632, -2055605, -2055566, -2055515, -2055452?\nAnswer: -2055377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -22458\nAnswer: 2245.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and -0.9.\nAnswer: -0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.46121792 + -190.53885908. Let s = 197 - 388. Let q = m - s. What is q rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 3775?\nAnswer: -377.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-15) - (-111)\/(-15). Let q = -3 - p. Let x(u) = -2 - 2 + 0 - 4*u + 5*u. Give x(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = h + 4*d, 3*d + 7 + 2 = 0. Suppose -p = -h - 3. Is (18\/p)\/((-12)\/(-16)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3765 is divided by 47.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 + 10*z**2 + 44*z**2 + 10*z**2 + 101*z.\nAnswer: 66*z**2 + 101*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + j + 41 = 2, 4*y - 3*j - 152 = 0. Suppose 4*c + 32 = k + 10, -5*k + y = -5*c. Solve -k*f = 4, -3*u - 2*f - 5 = 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 5*t - 5. What is the smallest common multiple of g(7) and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 664079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 11:59 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.06 + -0.282. Let k = c - -0.3667. Round k to three dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 u when three letters picked without replacement from uvuy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q - q**2 - 4*q)*(23*q + 16*q - 7*q) in the form g*q**2 + k*q**3 + w + r*q and give k.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00040429167 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -a45 (base 13) to base 6\nAnswer: -12031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*q = 52 + 30 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*r - 1204 = -44*r. Let t = 72613\/18 - 4033. What is the common denominator of t and (-143)\/(-30) - (9 + r\/(-70))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 1. Let c(q) = -135*q**3 - 3*q**2 + q + 1. What is c(t) + d(t)?\nAnswer: -135*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + b**2 + 2*b - 4. Let l be g(4). Suppose 4*j - 2*n - l = -0*n, 5*j - n - 99 = 0. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, f: 6, p: 7}. What is prob of sequence pp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*l**2*s**5 + l**2*s**2 - 8*l**2*s - 26*l**2 + 509*s**3 + s - 2 wrt s.\nAnswer: 80*l**2*s**3 + 2*l**2 + 3054*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14399 divided by 11.\nAnswer: -1309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h - 12. Let v be j(-11). Let g = -1 - -1. Calculate the remainder when 2 is divided by (-1 + g)\/1*v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/1*(0 - 8). Let p(z) = 2*z - 12. Let w be p(10). Let t be 2\/w + (-6)\/(-8). What is the highest common factor of b and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6723 + 6722.99996593. What is f rounded to 6 decimal places?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -5*x**4 + 12960*x**3 + 1106795*x**2 + 8907750*x = 0.\nAnswer: -74, -9, 0, 2675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-734)\/5505*(-1)\/(-2)*3360\/(-63).\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -23*c**5\/5 - c**4\/6 - 6227*c**2\/2 - 915*c. What is the derivative of t(n) wrt n?\nAnswer: -276*n**2 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 400 + -395. Suppose -7*h - 692 = -i - n*h, 4*h - 2116 = -3*i. List the prime factors of i.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 11:03 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 8 - 13. Suppose 2*v = x + 2*x - 9, -5*v + 15 = l*x. Let c be (-2 + v)\/(((-8)\/(-6))\/(-2)). Solve 0 = -c*i + 4*i - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3287702*r**6 - 15*r**3 - 454579960*r**2?\nAnswer: 394524240*r**3 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {y: 4, a: 12, j: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2592*u + 1423*u + 3 - 2 to the form o*u + y and give o.\nAnswer: 4015","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 40\/(-12))*(-27)\/(-99).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -28, 1, -505?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 182134959?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 7:43 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 786? (a) -2 (b) 9 (c) -4 (d) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1215?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**5 - 3354*x**4 + 6699*x**3 - 3348*x**2.\nAnswer: 3*x**2*(x - 1116)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77579449 + -176105344059\/2270. Let n = -5\/227 - h. Let t = 35011\/13707 + 2\/1523. What is the common denominator of t and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*m = 5*i - 1485, 0 = m - 4. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(-6)\/(-4) - 12. Let l(y) be the first derivative of y**3\/3 + y**2 + 1. Let h be l(f). Calculate the greatest common divisor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 36*u - 17. Let i(a) = -34*a + 17. Determine -3*i(j) - 2*o(j).\nAnswer: 30*j - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(-357) - 1055\/4305)\/2.\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 260 and 44?\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 13756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2660)\/36 - (-6)\/(-2). Let w = d + 77. Which is the closest to 0? (a) -1 (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + t - 23 = 0, 0*h = -4*h - 2*t + 26. Sort h, 4, 2.\nAnswer: 2, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -3*l - 0 + 89, 120*x - 4*l + 11039 = -3*l for x.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 12020?\nAnswer: 12012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 10 = 110. Let i = 31 - q. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (-1 + -2)) + -9 + 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 2 + 2. Suppose -a + 4 = 2*z, h + 3*z = 16. Let j be 2\/3*(1 + 2). Solve -3*v = -5*i - 12, -4*i + j*v = i + h for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**4\/24 + 40*f**3\/3 - 21*f**2 + f. Is z(6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -45\/8 or -6?\nAnswer: -45\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**1)**21*(z*z**0)**4)**(5\/3))**(-20) assuming z is positive.\nAnswer: z**(-2500\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 - -27. Let b = -23 - x. Let l(f) = -2*f**2 - f. Let h be l(1). Put h, -4, b in descending order.\nAnswer: b, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*m - m. Let u be (-6 + 7)*m\/7. What is the smallest value in 7, -0.3, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1259476 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1297 smaller than -1291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + -40. Put -54, k, 5 in decreasing order.\nAnswer: 5, k, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**8\/1680 + j**4\/24 + j**3\/6 - 2*j**2. Let p(q) be the first derivative of v(q). Differentiate p(c) with respect to c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g + 6. Let o(k) = -k - 3. Let h = 162 - 158. Determine h*x(p) + 7*o(p).\nAnswer: p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 147 - 158 = 5*g, 3*c - 5 = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 5*d - 8. Let f be l(6). Let x be ((-2 - -2)\/2)\/f. Solve x = -3*y + 1 + 2, 14 = -5*h - y for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 10*p + 2 - 22*p**2 - 14 + 8.\nAnswer: -22*p**2 + 10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 y when three letters picked without replacement from mkkkymmmmy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/5)*f**0)\/(f**0)**(-15\/7)*(f*f**(2\/5)*f*f**4*f)\/(f**(-2\/9))**(-10\/19) assuming f is positive.\nAnswer: f**(6911\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*(1 + (4 + sqrt(612) + -1 + sqrt(612) + -3)**2).\nAnswer: -7342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*r - 8. Let j(l) = l**3 + 6*l**2 + 6*l - 5. Let p(z) = 1. Let n be (-7 - -8) + (2 - 2). Let c(y) = n*j(y) + 4*p(y). What is c(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = 6*w + 104. Let s = w + 49. Solve -s*u - 2 = -b, 4*u = 2*u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6188657147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 394.0217 years to decades.\nAnswer: 39.40217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 12312480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 773, 813, 855, 899, 945, 993?\nAnswer: 1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1276)\/(-957))\/((11\/((-66)\/(-420)))\/(2\/(-2))).\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 199*j. Let w(p) = -222*p + 75. Let r(q) = 30*q - 10. Let n(c) = 15*r(c) + 2*w(c). Calculate n(a(k)).\nAnswer: 1194*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 13) in base 5?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 20 = -4*t + n, 5*t - 42 = -2*n. Let b(l) = l**2 - 8*l - 3. Calculate b(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -9*v - 1. Calculate the remainder when -49*(3\/3)\/(-1) is divided by x(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/185*-2*10\/(-24)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46267 + 34582 = -4379*g + 62758 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from sznnz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**2\/3 + 11098016*v\/3 + 7398676 = 0.\nAnswer: -11098014, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -a - 59 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1777958277 to the nearest integer?\nAnswer: 42166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(28\/(-8))*(-10)\/24?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -3) + -3 - (13 + -14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 116555713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o - 146. Determine l(-23).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(3\/30*145\/(-638)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j. Let i = 3 - 5. Let o(w) = -w**2 + 9*w + 1. Calculate the remainder when o(7) is divided by m(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 25, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 4562800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12815783 + 0.3244638\nAnswer: -12815782.6755362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihaiqhiaqihiq. Give prob of picking 2 i.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 2\/3*g**4 + 8\/3*g - 22\/3*g**2 - 2\/3*g**5 + 6*g**3 = 0 for g.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4308408 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2085\/349 + 11172522\/1868197. What is the common denominator of 149\/318 and f?\nAnswer: 32118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, p: 3}. Give prob of picking 1 p and 3 c.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1845 = 16*x + 171*x - 2456 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 10:02 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5919 - 1861. Suppose 13114 = 16*u + b. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a day in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ysd when three letters picked without replacement from ydysy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/10470 and -41\/109935?\nAnswer: 219870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*n**3 - 3 + 3 + 202*n**3 - 132*n**3.\nAnswer: -46*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2\/5*r + 2\/5 - 2\/5*r**2 + 2\/5*r**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 480 = -2*o + u + 492, -5*o - 2*u + 48 = 0 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -603 + 599. Let a be 0 - (-2*1)\/14. What is the smallest value in g, a, 2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*v - 86 = 0, -b + 0*v + 5*v + 16 = 0. What is the smallest common multiple of 90 and b?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/10 of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -47*q**3 - 4*q**2 - 7*q - 2. Determine i(-1).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6518 is divided by 6508.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.18, 911, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 56 = c, -t = 1 - 6. Calculate the greatest common factor of c and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.097 (b) 2 (c) -5342\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/(-330))\/(((-100)\/90)\/(28\/21))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7831798, -7831799, -7831808, -7831831, -7831874, -7831943, -7832044, -7832183?\nAnswer: -7832366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 173 + 7. Let h = -24 + u. Solve -3*g - 12 = -3*j + h, -5*j = 3*g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 divided by -3?\nAnswer: -332\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of l**5\/24 - 5*l**4\/24 + 2*l**3 - 1. Let i(t) be the third derivative of f(t). Does 9 divide i(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48945344 by 437012.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 1. Let f(p) = 5*p - 48. Let c be f(9). Let s(b) = -2*b + 41. Let z be s(19). Let j(q) = 3 - q + z*q + q + q. Calculate c*h(g) + j(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7.03182 hours?\nAnswer: 25314552000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42863 and 3605?\nAnswer: 154521115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2 + 14274*k - 28540 = 0 for k.\nAnswer: 2, 7135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s + 3. Let g(z) = 13 + 2*z - 3*z + 0*z. Let i be g(9). Is 8 a factor of b(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + m**2 - 34*m + 13. Determine q(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/5 and -0.113 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 4*l + 12 = 0, 972*u - 5*l + 15 = 977*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/((sqrt(108)\/sqrt(3))\/sqrt(12)))**2 - (sqrt(475) + 0 + -2)**2.\nAnswer: -460 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1713439 = 2*o - 3*r, -o + 1713441 = o - r. Let t = -673279 - o. Round t to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3*p = -12, -3*q - p - 4 = 4. Let y be 8\/(-5)*25\/10. Which is smaller: y or q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148093?\nAnswer: 11, 13463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -498 + 1950. Suppose -1784*b - p = -1785*b. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**3 - 10*m**2 + 19*m - 14. Let r be (-96)\/336 - (-37)\/7. What is the tens digit of i(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7*y - 6. Calculate the remainder when o(7) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32 + 32 - 1264*x**2 + 54*x**5 + 1528*x**2 wrt x.\nAnswer: 3240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -1. Let f = u + -5. Which is the biggest value? (a) 1\/2 (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*z**3 + 8*z**3 + 6*z**4 + (2*z - z + z)*(0*z**3 + 2*z**3 + 5*z**3).\nAnswer: 20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 8*i - 181. Let q be k(23). Let o(m) be the second derivative of -m + 0 + 2*m**2 - 5\/6*m**q + 1\/6*m**4. What is o(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -4*q - 5*v, -4*q + 4*v - 199 = -187 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-32)\/(-10) + 5\/(-25). Let b be j + 0 + -2 + 0. Sort -0.3, b, 4 in decreasing order.\nAnswer: 4, b, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a millimeter in micrometers?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -33*z - 34*z - 36*z + 103*z + 84*z**2. Let c(p) = 3*p. Determine c(a(q)).\nAnswer: 252*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 2. Let i be a(-2). Suppose -3*w + i*w = 0. Does 3 divide 6\/3 + w + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1544506 divided by -178?\nAnswer: 8677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39.189 + 0.411. Let z = 0.4 + c. Let i = -39.06 + z. Round i to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 + -1.04. What is the closest to -2 in n, 2, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n + 1. Let g be l(1). Let u be (-330)\/(-624) - ((-120)\/65 - -2). Which is the closest to u? (a) 2\/9 (b) -3\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 507*i**2\/4 - 99*i - 111\/4 = 0.\nAnswer: -37\/169, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -8.2. Let g = -0.78 - w. Let y = g - -0.08. Is y bigger than 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -867\/1400 + -1\/175. Are r and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 53, 7, 5, -3 in increasing order.\nAnswer: -3, -2, 5, 7, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 22. Let t = u - 12.8. Which is the nearest to -1? (a) 0.3 (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/18)\/(3\/(36\/8)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a9 (base 14) in base 12?\nAnswer: -391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -182220 divided by 60740.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 73, 133, 205, 295, 409, 553, 733?\n\"Answer: w**3 + 53*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 plus 54594.4?\nAnswer: 54594.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/(-10) + 2 - (79 + -74). Let g = 1 - 1\/2. What is the biggest value in y, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 234*z**3 + z**2 + 6*z - 10. Does 12 divide t(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k - 1. Let o(r) = -777*r + 407. Calculate 4*o(v) + 1628*u(v).\nAnswer: 148*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-120)\/9 - 4\/6. Let f = d - -54. What is the third derivative of -f*t**5 - 2*t**2 + 38*t**5 + 0*t**2 wrt t?\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*x + 14166 = -12195. Calculate the greatest common factor of x and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23554 and 796.\nAnswer: -18748984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-4))\/(14\/28)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 589*r + 1119*r - 574*r - r**2 to f*r**2 + d*r + l and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 9*p. Let z(x) = -212*x**2. What is z(f(i))?\nAnswer: -17172*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 7 + u + 1 - 1 + 1 - u + 0*u - u - u + (-3 + 1 + 0)*(-2*u - 4 + 4))*(2*u**4 - 3*u**4 + 4*u**4)*(0 - 5 + 2).\nAnswer: -27*u**5 - 72*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 15 = -3*l, -l = 4*m - 11. What is the remainder when (-7 - -9)*2\/1 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2 = 0, -6*d + 52 = 5*a - 3*d. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 3*l = -6, -3890*k + 3889*k = 4*l + 17 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - -2 - (-2 + -60). Suppose -6 - q = -4*b. Let p = b - 11. Is p > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(1\/9)\/y)\/y*((y*y*y\/y**(2\/21))\/y)\/y*(y**(2\/7))**(-2\/85) assuming y is positive.\nAnswer: y**(772\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/125 (b) 3\/26 (c) -37700\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71591 + 116*r - 143184 - 216*r + 116*r + 71593.\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((36\/(-198))\/2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13725 is divided by 95?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(13) + sqrt(468) + 2 + sqrt(468))**2 + (sqrt(78)\/sqrt(96) - (sqrt(325) + -4))**2.\nAnswer: -38*sqrt(13) + 40101\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, k: 2, h: 1, w: 4, p: 1}. Give prob of picking 2 w, 1 g, and 1 h.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*t + 5 + 8 - 28 + 79*t + 13 to j + c*t and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7347, -14690, -22033, -29376?\nAnswer: -36719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -548611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -189 - 3*t - t + 133. Let f be w(-14). Suppose -3*m = -f*m - 276. List the prime factors of m.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25*x - 14*x + 23*x)*(-14*x + 8*x - x) to the form s*x + p + z*x**2 and give z.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1848 and 211502214?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 5*w - 25. What is the greatest common factor of 25 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006143134 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65448 - 34724. What is the ten thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -0*y + 5*t - 192, 4*y - 4*t - 328 = 0. Let q = -78 + y. Solve -q = 8*s - 6*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-46)\/3*9\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 157*g**6\/2 + 2*g**3\/3 - 1039*g**2\/2 + 155. Find the third derivative of v(w) wrt w.\nAnswer: 28260*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.49 - -0.49. What is the fourth smallest value in v, -1\/3, 4, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (3 + (-4 - -4) - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(((p*p\/(p**(-5)\/p))\/p)\/p)\/p)\/(p**3\/p)*p*p*p*p**(5\/3)*p**0\/p assuming p is positive.\nAnswer: p**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/528)\/((-7)\/(294\/(-4))*(-175)\/25).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 181178867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a + 1795f?\nAnswer: 17955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23643 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r**3*y + 169078*r**3 + 21*r**2*y - 3*r*y + 2*r - 2 wrt r.\nAnswer: -6*y + 1014468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 - 4)*(4 - 4 - l)*(2 + 1 - 2)*(-7 + 7 - 10*l) to the form h + m*l**2 + c*l and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-772681)\/28665 - (-8)\/(-180)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 2*k**7\/7 - 106*k**5\/5 + 233*k**3\/3 - k**2 + 201. Find the third derivative of f(b) wrt b.\nAnswer: 240*b**3 - 2544*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 59*j**4\/3 - 39236*j**3\/3 + 1162021*j**2\/3 - 1141864*j\/3 + 6340 = 0. What is j?\nAnswer: 1\/59, 1, 30, 634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 - 7410*o**3 + 1376676*o**2 - 86230494*o + 1805589387.\nAnswer: (o - 7221)*(o - 63)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2335588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2. Suppose 3*a = 24 - 3. Let k(u) = -u - a*u + u + u. Calculate k(p(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**3 - 75*q**2 - 90*q + 160 = 0 for q.\nAnswer: -2, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**2\/t)**(-39)\/(t**(-2\/27)*t*t\/(t\/(t\/(t\/t**(-1\/9))))))\/(((t\/(t\/t**(2\/13)))\/((t*t*t*t*t*t**(-1))\/t))\/(t**2\/(t\/t**0))) assuming t is positive.\nAnswer: t**(-26314\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -463714 (base 11) to base 6.\nAnswer: -23443333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -135.966144 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 12\/18)\/(4\/3).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z + z + 59*z - 1 + 28*z.\nAnswer: 83*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -124, -129, -96, -25, 84?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b - 3. Let w(q) = -6*q. Determine l(w(p)).\nAnswer: -36*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 5*u**2 - 12*u + 39. Let i be j(6). Does 5 divide (1*42\/35)\/(i\/250)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10 and -2916157080957.\nAnswer: -2916157080947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-12)\/(-8))*(30 + (-26214)\/867)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22865 + 3537 = 643*s + 84838. Let h(i) = -21*i + 6. Let z be h(8). Are s and z nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 490*n - 488*n - 2398 = 0. Is 50 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21843910 and 6490.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 37. Let y be k(-15). Suppose -3*o + 7 - y = -3*f, 3*o + 18 = 2*f. Is (61 - o\/2)\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 1. Let i = 826.755 - 849.8. Let z = i + a. Round z to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**3 + 61581*w**2 + 3702960*w + 55584900 = 0?\nAnswer: -30, 20587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*m + 81*m - 167*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 + 66. Solve -2 = 3*k - o for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.11 - -0.06. Let j = 0.03 + r. What is the third smallest value in 0, 2\/17, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*a - 5445 + 717. Let w = 397 + a. Let o(u) = -u**2 + 2*u - 3. Determine o(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187141931.\nAnswer: 187141931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30898982 is divided by 201954.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 25 = -175. Let q be t\/(4 + -9) - 1. Solve -2*j + 4*b - b + 14 = 0, -5*j - q*b = 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35 + -5132?\nAnswer: -5200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*((-3*sqrt(1372) + sqrt(1372))*1 - 3*sqrt(1372)*1))**2.\nAnswer: 34305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**4 - 27471*a**3 - 965064*a**2 - 882636*a + 1875168 = 0. Calculate a.\nAnswer: -34, -2, 1, 9192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2364 - 19093. Let d = o + 686725\/32. Calculate the common denominator of d and ((-129)\/18)\/((-2)\/3).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17009 and 1923881.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 44\/10 - (-4)\/(-10). Suppose -4*b = z*o - 44, 3*o = -b + 5*o - 1. Calculate the remainder when 12 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 6*w - 5. Calculate r(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2304*v + 45272 = 2312*v. What are the prime factors of v?\nAnswer: 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*v + 148 = 4*y, 2*y - 98 = 5*v. Let m = -11 - -32. Let w = y - m. What is the remainder when 67 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 202096114*q**5 + 5*q - 19261587?\nAnswer: 4041922280*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81 + 38 + 10 + -240.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4588.1, 43, -1\/4, 4, 0.\nAnswer: -1\/4, 0, 4, 43, 4588.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 70*l - 300. Let b(o) = -11*o + 50. Determine -25*b(u) - 4*r(u).\nAnswer: -5*u - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(3\/26)))\/g**(2\/107))\/(g**(-37)\/g**(-11\/6)) assuming g is positive.\nAnswer: g**(146191\/4173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**3\/7 - 243710*t**2\/7 + 17408*t = 0 for t.\nAnswer: -60928, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 47) + -8 + 78.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -103 in 2\/13, -0.2, 2\/19, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a decade in months?\nAnswer: 1752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 682*p**4 + 2*p**3 + 39*p**2 - 21*p + 2 wrt p?\nAnswer: 16368*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3067 and -2.\nAnswer: -3069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17822, -35296, -52054, -67736, -81982?\nAnswer: -94432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 2*u**2 - u**2)*(4 - 3 + 1) + u**2 - 6*u + 6*u + 11 - 2*u + 16*u**2 - 11.\nAnswer: 19*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + (sqrt(320) - (sqrt(320)*3 + sqrt(320)))) - (((sqrt(875)*1 - sqrt(875)) + sqrt(875))\/(sqrt(525)\/sqrt(3)))**2.\nAnswer: -20 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 1 (c) 0 (d) 28\/13 (e) -0.2 (f) -0.01 (g) 931\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 416, 307, 124, -133?\n\"Answer: -37*p**2 + 2*p + 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a + 7. Let b be h(-5). Let l be 6\/4*(-346)\/b. Let g = -101 + l. What is the highest common divisor of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - 2*d + d**3 + (d - d - 2*d**2)*(-4*d + d + 2*d) + 2*d**3 + 0 + 0 + 3 + 1 - 3 - d**3.\nAnswer: 4*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2886 - -421. Is 111 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-2802599.9906142\nAnswer: -2802599.8906142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.46 - 0.06. Let i = 137376\/17 - 8081. Sort l, 1\/4, -0.4, i in descending order.\nAnswer: l, 1\/4, i, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k - 2. Let p(l) = 10*l - 10. Let g(j) = -28*o(j) + 6*p(j). What is g(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - (-663)\/9) + 4\/(-6). Let g = h + -71. Solve b + g = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137779876 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 3:25 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6673*s = -6690*s + 5185. What is the lowest common multiple of s and 195?\nAnswer: 11895","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 10*t**2 - 10*t + 10. Let z be i(9). Let u = z - -2. Let y be (-84)\/(-15) + u\/(-5). Solve y*l - 8 = 3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*w**3 + 10 + 18*w**3 - 10*w**3 wrt w?\nAnswer: 54*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((34\/(-51))\/(68\/51))\/(86\/(-4)).\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -125 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 12 - 12 - 6*o + 2*o + 8*o - o + 3 - 3 + (0 + 2 + 0)*(0*o + 5*o - 4*o))*(-o**2 - o**2 + 4*o**2)*(10 - 10 - 2*o).\nAnswer: -32*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-3 + 0) - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-273)\/1596)\/((-208)\/192)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(13)*-1 - (sqrt(13) + (sqrt(52) - sqrt(13)))*-5)**2 - (-5 + (2*sqrt(13))**2 - (sqrt(52) + -3)).\nAnswer: 2*sqrt(13) + 2147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144 by 5.\nAnswer: 144\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h + 5. Let r = -31 - -89. Calculate the remainder when r is divided by s(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*w**2 - w**3 + 60*w**2)*(-2 + 2 + w - w - w + 0*w + (1 + 1 - 4)*(2*w + w - 2*w) + w - 28 + 28).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*l**5*n**2 - 40198*l**2*n**3 - 16*l*n**3 + 2943*l*n**2 - n**3 - n - 34 wrt l.\nAnswer: 880*l**3*n**2 - 80396*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - -3*(sqrt(143) - (sqrt(143) + sqrt(143)*1)))\/(1*sqrt(176) + sqrt(11)))**2*-1.\nAnswer: -52\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -35983 + -22?\nAnswer: -359a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190948419.\nAnswer: 3, 937, 22643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 9006.\nAnswer: 4503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.54 * -17.\nAnswer: 9.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 3*x**2 + x + 1. Suppose 12 + 6 = -9*b. Let f be o(b). Suppose -4*i + 5*r + 41 = 0, -3*r + 30 = f*i - 6*r. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96448 = 1983*c - 14600 for c.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 312*n.\nAnswer: -2*n*(n - 156)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51360 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*u + 1951 = 158 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - -18. Calculate the least common multiple of 10 and d.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + -2. Let d = g - -7. Let q(c) = -c**2 + 4*c - 3. Let b be q(3). Sort b, 4, d in increasing order.\nAnswer: b, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -66 + 12*f - 305*f**2 + 306*f**2 - 154.\nAnswer: (f - 10)*(f + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52486 is divided by 3484?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -j**6\/90 + 3*j**4\/8 + 8*j**3 + 27. Let g(v) be the third derivative of u(v). Let m(k) = -k**2. Give m(g(l)).\nAnswer: -16*l**4 + 72*l**2 - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 8*w**2 - 4*w + 7. Let d be j(-8). Let o(z) = 2*z**2 - 2*z - 3. Let v be o(-3). Let c = d - v. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 565 = 3*a, -2*g + 32 = 2*a + 258. Let d = g - -121. What is the lowest common multiple of (2*-3)\/(21\/(-14)) and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 655 divide 25745540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, -5, -20, -3, -1.\nAnswer: -20, -5, -3, -1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**3 + 8*c**2 + 8*c - 4. Let m be b(-4). Let v be (-24)\/9*m\/24. Suppose 551 - 66 = v*n + 5*s, s = 5. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15100 = 3*f - 7*f. Suppose -l + f = -0*l. Suppose 0 = -4*c + l + 1825. Round c to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 18*p**2 - 18*p + 8. Let k be w(18). Let v = -319 - k. Let h(a) = -2*a - 2. Calculate h(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/2 + 35*c\/2 - 17.\nAnswer: -(c - 34)*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 981176530 is divided by 166.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 3*t**2 + 3*t + 4. Let z be x(4). Suppose 3*o - 15 = z, 2*o + o = 4*d - 1. Suppose -6*l = -d*l. Which is smaller: 1\/4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 = 64*y - 15*y. Let i = -6 + 14. What is the fourth biggest value in 5\/4, y, -0.3, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 4) to base 14\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11120200012 (base 3) to base 8\nAnswer: 260056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = t + 399. What is the remainder when t is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 9:43 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3847 (base 9) in base 14?\nAnswer: -1098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 711289819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1966453 by -13.\nAnswer: 1966453\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 574\/((9\/(-6))\/((-15)\/20)). Let n be 5\/(-35) - (-62)\/h. Is n < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8803\/5 - 1762. Which is the smallest value? (a) -2\/15 (b) f (c) 20 (d) 1\/8 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -37.84?\nAnswer: -37.84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 667 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 2766.4 to the nearest one hundred.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.11201519922 and 1171.\nAnswer: 1170.88798480078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -29*j**2 - 16*j - 31. Let z(f) = -7*f**2 - 4*f - 8. Let c be 3\/((12\/8)\/1). Let r(v) = c*k(v) - 9*z(v). What are the prime factors of r(-3)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bma when three letters picked without replacement from ammvvmrrrrmbqvq?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 4*j + 10. Let c = 10 - 3. What is the remainder when c is divided by q(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2513738, 2513750, 2513776, 2513822, 2513894, 2513998, 2514140?\n\"Answer: q**3 + q**2 + 2*q + 2513734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 + 74. Does 18 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/240 and -23\/52.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 5*p + 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 0 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 4*y**2 - 4*y + 1. Let s be l(-5). Let h be (80\/6)\/(s\/(-174)). Suppose -4*f + h - 56 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(1*1\/(-12)). Let l = s + 119. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 208206 to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 1\/120*x**5 + 1\/480*x**6 - 1\/96*x**4 + 0*x + 0 - 1\/12*x**3 + 2*x**2. Factor u(s).\nAnswer: (s - 1)*(s + 1)*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 33. Let y(h) = -h**2. Calculate y(p(w)).\nAnswer: -w**4 - 66*w**2 - 1089","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1701*b - 2 + 1725*b - 5*b**2 + 3 to i + x*b**2 + j*b and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1100010111111001110101110110?\nAnswer: -1100010111111001110101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 2455169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 18 (b) 2\/5 (c) 0.1 (d) 49 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -6. Suppose 0 = -3*v + s*v - 6. Let m(i) = 2 - v*i**2 + 1 - 3. Let b(f) = f. Give b(m(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 4383850108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2, -7, -30, -73, -142?\n\"Answer: -w**3 - w**2 + w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3730 is divided by 1856.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 831 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: Let v(a) = -1 + 25*a + 7 - 8. Let t(i) = -4*i - 18*i + 5*i + 2 - 7*i. Let z(q) = 6*t(q) + 5*v(q). Differentiate z(k) with respect to k.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 1 = -2*q. Suppose 16 = r - 5*r. Sort 5, q, r in decreasing order.\nAnswer: 5, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 8 + -9 + (184 - 178).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 13*g**2 - 4*g + 4. Let l be n(6). Suppose 0 = 3*q + q - l. Suppose -2*a = -86 - q. What is the highest common divisor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 7*f**2\/2 - 5*f + 3. Let u(t) be the first derivative of -10*t**2 + 14*t - 18. Calculate 17*h(m) + 6*u(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 12*y**2 - 10*y - 3. Let a be c(11). What are the prime factors of -3 + 3692\/16 + 2\/a?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxuxxxxlxxxuxx. Give prob of picking 1 x and 1 u.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -100, -2, -1, 3 in ascending order.\nAnswer: -100, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (467400\/(-984))\/((-75)\/6).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 300618385 to the nearest ten thousand.\nAnswer: 300620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 17*y**2 - 41*y - 9. What is the remainder when n(13) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-52)\/(-12))\/(4\/12). Let s = y + -8. Solve -5*t = s*f - 30, 3*f + t + 3 = 5*t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35.9 - -39.9. Let q be 2\/6 - 32\/42. What is the third biggest value in v, -4\/7, q?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 10 (c) 1\/3 (d) -11 (e) -2 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.015, 2\/3, -10.9 in decreasing order.\nAnswer: 2\/3, 0.015, -10.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3849 - -3851. Let t = 2 - 5. Let s be 1*(-17)\/13 - t. Is n smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.4, -0.2, -1136, -5, 200 in descending order.\nAnswer: 200, 5, -0.2, -0.4, -5, -1136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2750270 + 1473470. What is d rounded to the nearest ten thousand?\nAnswer: -1280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.91448269 to three dps.\nAnswer: -6.914","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15748?\nAnswer: 2, 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314601?\nAnswer: 3, 7, 71, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(12) + sqrt(48)\/sqrt(4)*-3)\/(-4*(sqrt(6) - sqrt(54))) - ((sqrt(40)*2)\/sqrt(10))\/(1*sqrt(8) + sqrt(2))) + 4)**2.\nAnswer: -22*sqrt(2)\/3 + 1273\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*x + 27 = 0, -x + 3*x = 3*v + 17. Let r = v + -10. Let k = r + 19. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -166*o + 17512. Calculate v(110).\nAnswer: -748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3480*d**2. Let p(s) = -14344*s. Calculate n(p(k)).\nAnswer: 716011169280*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 11) to base 15.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14070*k**2*r**3 - 2889*k**2*r**2 - 7*k**2 - 6*k*r**3 + 3*k*r**2 + 2*r**3 + 1 wrt r.\nAnswer: 84420*k**2 - 36*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a - 18 = -5*y, a - 3*y = -14. Let p = a + 4. Solve 0 = -2*m + 3*o + 10, 3*o - 5 = -p*m + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8362 rounded to two decimal places?\nAnswer: 1.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1a0172 (base 11) to base 10\nAnswer: -307661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -14*l**2 - 11*l + 11. Let m be u(1). Let f be (-16)\/m*(-21)\/(-6). Solve 0 = 4*g + f, 0 = 4*o + 3*g + 4 + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3120 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 325 and 845.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 81317847769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*i = 14130004, -i - 5848071 - 12991931 = 4*j. Round j to the nearest 100000.\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -60521 + 531?\nAnswer: -58880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6337107 and 87108.\nAnswer: 25348428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 57095 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 3*k = 0, 6241*v - 6243*v - 4*k + 24 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16788496 divided by -4?\nAnswer: -4197124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from maqaaaaqmnaaqaq. Give prob of sequence aqa.\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13135*z**2 + 5*z - 469.\nAnswer: -26270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -150.24 - -17.\nAnswer: -133.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xixxinx. What is prob of sequence ii?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 448123 + 210696 = 342757. What is the thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(19))**2*-2 - (sqrt(190)*-4)\/sqrt(10))*3.\nAnswer: -114 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -1 (c) 211 (d) 0 (e) 310 (f) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 3:58 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 156560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/((-72)\/(-8)))\/((42\/(-57))\/14).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 20*q**2 - 15*q - 835. What is the remainder when 7967 is divided by d(-18)?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + (-11 - (-53 + 21 - -28))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 240123950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 + 12*f**2 + 7*f**2 - 6*f**2.\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3362138454.\nAnswer: 2, 3, 560356409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7904460 by 16818.\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(133)\/sqrt(28) + 2)**2 - sqrt(190)\/(-3*(sqrt(10) - (sqrt(10) + sqrt(20)\/sqrt(2)))))*3.\nAnswer: 5*sqrt(19) + 89\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 * -0.4\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1879\/(-3) - (-20)\/15. Let c = n - -11872\/19. What is the biggest value in c, -1, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*v + 44 = 74*v - 7*d, 3*v + d - 8 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d. Let x(z) = 5*z + 12. What is 3*r(t) - x(t)?\nAnswer: -2*t - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -263019852 + 1834509852. Round l to the nearest one million.\nAnswer: -175000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = h + 4*v - 59, 2*h - 117 = -3*v. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 7:21 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 5*n + 21 - 72, -2*n - 4 = 0. Suppose 4*h = x + 79. What is the least common multiple of 2 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 207660818\/479843 + 36\/36911. Factor u*h + 730\/13*h**4 + 50\/13*h**5 + 3572\/13*h**3 + 6836\/13*h**2 + 1682\/13.\nAnswer: 2*(h + 1)**3*(5*h + 29)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 10 - 27*q**2 + 37 - 11 to r*q**2 + j*q + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55*z**5 - 130*z**4 - 5*z**3 + 312063*z?\nAnswer: 1100*z**3 - 1560*z**2 - 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/1001)\/((-24)\/88)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10 and 152.5664.\nAnswer: 142.5664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 1 + 3 = -w, -12 = -4*y - w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6051 divided by 3\nAnswer: 2017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -a - 60708, 2*a - a + 2*l = -60687. Let y = a - -90388. Suppose 5272 = -3*g + y. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 6:40 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 254 + 50. Calculate the greatest common factor of 170 and h.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-160)\/882)\/10)\/((-260)\/455)?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 44, -0.13, -1, 1.2, -4\/5 in ascending order.\nAnswer: -3, -1, -4\/5, -0.13, 1.2, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ene when three letters picked without replacement from eneneendedenoee?\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (-9)\/(36\/16). Let b be ((-24)\/(-20))\/(6\/20). Let a(y) = -5*y**2 + 7*y. Let f(o) = -o**2 + o. Let z(g) = b*f(g) - a(g). Calculate z(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 3\/5, -2, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4976 (b) 2\/3 (c) 0.5 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tuu when three letters picked without replacement from uuutltluululluuul.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 4368276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q - 3*q - 2*q)*(-8 + 38 - 7)*(1 - q - 1) + 2*q**2 + 0*q**2 + q**2 + (1 - 2*q - 1)*(2*q - 2*q - q) as o + v*q**2 + k*q and give v.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 7:52 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2185 = 5*p - 2190. Suppose -3*g + 8 + 1 = 0. Suppose -g + p = -r. Solve -r*o + 5*o = -9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188475988 to the power of 1\/4, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 496 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 8*u**7\/21 - 3*u**4\/2 - 3*u. What is the third derivative of r(p) wrt p?\nAnswer: 960*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -f + 31 - 11, -4*f + c - 4 = 0. Let b(j) be the third derivative of 1\/120*j**5 + 0*j**3 + 1\/24*j**4 + 9*j**2 + 0 + f*j. Factor b(g).\nAnswer: g*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l**2 + 17*l + 9. Let x(n) be the first derivative of -n**3\/3 + 2*n**2 + 2*n + 6. Determine 2*o(b) - 9*x(b).\nAnswer: -b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*b**2 + 27*b**2 + 23*b**2 + 26*b**2 - 104*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*r**2 + 9*r - r + 8*r wrt r?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.5814582 to three dps.\nAnswer: -3.581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 3\/3 + -17. Let q be 28\/36 - 4\/z. Is -12*(-3)\/(6*q) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-10)*(-512)\/120*(-12)\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 11:30 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 5. Let w be l(8). Let d(y) = -y**3 - 5*y**2 + 6*y - 1. Let v be d(-6). Is v equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -7\/28916 (b) -1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*j - 39 = g, 0 = 3*j - 15. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2258691?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 102 (c) 0.4 (d) -1\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1556 divide 78109644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 641 * 4\nAnswer: 2564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 4:56 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1842*a = -667*a + 927*a - 71380 - 12700 for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 1. Let a(v) = v + 4. Let c be 2*-1 + 6\/3. Suppose -4*r + 21 - 9 = c. Let w(i) = r*p(i) - a(i). What is the derivative of w(y) wrt y?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6235545*a**4 + 5876001?\nAnswer: -24942180*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 240482112 divided by 10455744?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 5*y**2 + y + 2. Let x be o(4). Let j = -5 - x. Suppose -l + j = -2. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15.4 - 22.3. Let j = b - -7. What is the second biggest value in -5, -0.4, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6.20827 nanograms?\nAnswer: 0.00000000000000620827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(3978\/(-12))\/13. Let s = k - 52. Are 6\/205 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 418 - 4*k - 418.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g + 564 = 29*g. What is the highest common divisor of g and 376?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 10, 13, 24, 5, -4 in increasing order.\nAnswer: -4, 2, 5, 10, 13, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 at least 1353235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 1) + -5 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 5*a**2 - a - 6. Let t be y(6). Calculate the lowest common multiple of t\/2 + -1 + -1 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 685 = -563. Suppose v - m = -2*j, 2*j - 4*v = 275 + 131. Suppose -5*y + 6*y - 3*l - 56 = 0, 5*l - j = -4*y. Is 23 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 5 + 8 + (-160)\/12. Suppose 4*t + 0*t = -4. Let w be (1 - 1) + 0 - t. Which is the closest to w? (a) 1\/2 (b) -0.2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1747?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/210 (b) 1\/4 (c) -16789\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -7\/2*x**2 - 3\/10*x**5 + 0 + 26*x + 7\/6*x**3 + 0*x**4. Let k(o) = 3*o**3 - 3*o + 3. What is -7*k(f) - 3*s(f)?\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 10*d - 400. Let g(l) = -84*l - 45. Let t be g(-2). Let h = t + d. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, n: 2}. Give prob of picking 2 n.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4801, -4829, -4913, -5083, -5369, -5801?\n\"Answer: -5*m**3 + 2*m**2 + m - 4799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2105, 2290, 2597, 3026?\n\"Answer: 61*x**2 + 2*x + 2042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1182 and 24927789?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-1\/3))**(-20)*(o**(-1\/3)\/o)**8)\/((o**(2\/3))**11)**(-2\/19) assuming o is positive.\nAnswer: o**(-2464\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 4*l + 40 = 0, 8*t - 10*t + 7 = -3*l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 24. Suppose -4*o + 20 = -4*w, -o + c*w + 5 = -4*o. Solve -5*h - o + 11 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/36 and 83\/168?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1312*x + 13 - 64 = -1329*x. Let p(k) be the first derivative of k**4 + x + 0*k**2 - 2\/3*k**6 - 4\/3*k**3 + 0*k + 4\/5*k**5. Factor p(d).\nAnswer: -4*d**2*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 19*p**2 - 36*p - 18. Suppose -5*w + 4*n - 5*n + 80 = 0, 0 = -5*w + 4*n + 55. Is z(w) a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 340406918 to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 944044.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -7. Suppose 12 = 5*i - 13. Is i greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 + -44. Factor -2\/5*a**2 - 18\/5*a**3 + h + 4\/5*a - 2*a**5 + 26\/5*a**4.\nAnswer: -2*a*(a - 1)**3*(5*a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39034440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/15)\/(7\/(-3) + 3). Suppose 0 = -4*t - 4*j - 126800020, 26839806 = -w*t - j - 36560199. Round t to the nearest one million.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12356 or 12355?\nAnswer: 12356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2302 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 8*j - 9. Determine s(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4b + -14?\nAnswer: -5f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17.56 + 9.43. Let p = a + -0.87. Sort 0.4, 1, p, -0.01.\nAnswer: p, -0.01, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1\/6))\/j**(-2)*(j*j**(-5\/2))\/(j*j\/j**(1\/2)*j)*j**(-1\/4)*j\/(j\/((j**(3\/4)\/j)\/j))*j**(-3) assuming j is positive.\nAnswer: j**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 594.3593751 - -35949.8705149. Let c = 36544 - q. Let i = c - -0.23. What is i rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000489538 rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26.6 - 25. Let j = -6 + x. Round j to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89 - 88.535. Let m = i - 0.265. Let q = 0.11 + 7.89. Which is the biggest value? (a) 4 (b) q (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + t - t)*(-114*t**2 - 14*t**3 + 58*t**2 + 58*t**2).\nAnswer: -28*t**5 + 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 282238, 564527, 846816, 1129105?\n\"Answer: 282289*f - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -1. Suppose u + 4*l = 8, -9 + 0 = -2*u - l. List the prime factors of b\/u + 717\/12.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2) + (-4 - (8 - 11)) + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*(-69)\/(-23)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1284?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(55)\/sqrt(11))**2*-5*5.\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -360 - -555. Let j = p - -17. Does 29 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1522002 and 1107.\nAnswer: 13698018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 2*u - 2*d + 55, 2*u + 58 = -201*d + 209*d for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 6*b**2 - 2*b - 33. Let r be c(7). Let l be (-730)\/(-22) + r - (-22)\/(-121). Solve l - 32 = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*j = 92 + 46. Which is the nearest to -5? (a) 0.04 (b) j (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 454144 by -1.\nAnswer: -454144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 44*r + 238 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in centimeters?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -5\/2*p**2 - 40 - 1\/3*p**3 + 2*p. Calculate j(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6148019, -24592072, -55332161, -98368286, -153700447, -221328644?\nAnswer: -301252877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a tonne in kilograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -28*u - 133. Determine l(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 249107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*s - 231*s + 0*s)*(2 + 0 + 1).\nAnswer: -798*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 116*n**2*w**2*x**2 + 105*n**2*w*x**3 + 2*n*w**2*x**2 + 89*n*w + 4*w*x**3 wrt n.\nAnswer: 232*w**2*x**2 + 210*w*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/((-24)\/792 + 40\/110).\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(60)*2 + sqrt(720)\/(sqrt(72)\/sqrt(6)))\/(-3*sqrt(1452) - sqrt(1452) - sqrt(1452) - (-3*sqrt(588) - sqrt(588))) + -4.\nAnswer: -4 - 11*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 61703 to the power of 1\/2, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -124128.\nAnswer: 1\/62064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -30377807.25 to the nearest 100000.\nAnswer: -30400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + t = -t + 6, 0 = 2*q - t. Let d be 10 - ((-8)\/(-2) + -2). Solve 0 = -3*z + f + 4*f - 32, -z + d = q*f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 7 - (-5 - -4)\/(-1 + 1524\/1522)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3661776*j**4*k**3 + 7414161*j**2*k**3 wrt j?\nAnswer: 87882624*j*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 6*n - 3. Suppose z + 6 = -2*z. Let h be c(z). Suppose -h*k + 18*k = 2249. Is k a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -6, -2\/3, -3\/5, 3\/7, 0.0512, 171?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 n when four letters picked without replacement from sjnnnjjdsjssjsjjnjnj.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24784 and 206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7147087 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*3\/(-12))\/(7\/(-7))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -82 - 2. Suppose -2*m + m + 21 = 0. Calculate the greatest common divisor of j and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**3 - 1669*n**2 - 66308*n + 114. What is m(-38)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 12790 to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 3*t = 23, -5*t + 5 = 5*a - 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ftlhqhf. What is prob of picking 1 f and 1 q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -392, -816, -1236, -1652?\n\"Answer: 2*u**2 - 430*u + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134696.\nAnswer: 2, 113, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ff + -47?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 179\/(-41) - (-1 - (-11 + 14)). Which is bigger: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g - 1. Let q be p(1). Let l be -3*(25\/(-3) + q). Is l\/(1 - (-9)\/(-11)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (134*i + 17*i**2 - 134*i)*(-1 + 2 + 3)*(i - 6*i + 3*i).\nAnswer: -136*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*b + 2*c - 4 = 0, b = 3*c - 1. What are the prime factors of (-5 + b)*(-117)\/26?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -1215?\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26159*r - 26918*r = 1974 + 26109 for r.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3341 is divided by 1110?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-15)\/18 + (-46805)\/(-3) + 20\/(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 577 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 5*i**2 - 5*i - 4. Let h be k(-4). Suppose h = -2*q - 7 + 1. Let f be (-77)\/(-2) + q\/6. What is f rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107 + 33 + 29 - 66*l + 28 + 37.\nAnswer: -66*l + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-23)*u))\/u**(3\/8)*u**29\/u**(-6) assuming u is positive.\nAnswer: u**(461\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 2. What is the nearest to -1 in z, 2\/3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 624.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 27*c**3 - c**2 - 9*c + 99. Let y(i) = -8*i**3 + 2*i - 12 + 13 - 26 + i**3. Let q(u) = 2*d(u) + 9*y(u). Differentiate q(s) wrt s.\nAnswer: -27*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8728796 to the nearest integer?\nAnswer: 2954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 101987\/126 = 810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1022d + 275?\nAnswer: -dd98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2.45 * 3\nAnswer: 7.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 17. Let f(n) = -22*n + 23 + 12*n + n**2 - 12. Let z be f(3). Calculate the remainder when 29 is divided by g(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2288 and 2111408?\nAnswer: 23225488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/41)*i**(-1\/3)*(i\/(i*i**(-9)))\/(i**15*i))**(-1\/22) assuming i is positive.\nAnswer: i**(454\/1353)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 21*d + 35. Let l be y(-2). Let p(z) = -691*z - 54. Is p(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115 and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -6. Let s = 270 + -272. Sort x, s, 3.\nAnswer: s, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 66324428?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 0*p**4 - 143*p**2 + 0*p**5 + 0*p + 0 + 4*p**3 - 97\/120*p**6. What is the derivative of u(k) wrt k?\nAnswer: -291*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172915454.\nAnswer: 2, 181, 631, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5152 - 3036. List the prime factors of l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 52861*j = -52865*j + 40, 5*y - 4*j = -41 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7555 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 7:26 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12592, 25181, 37774, 50371, 62972, 75577?\n\"Answer: 2*w**2 + 12583*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 324606312?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**3 - 6*p**3 + 14*p**3 - 5*p**3 - p**3.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -171, 1289, 3715, 7107, 11465, 16789?\n\"Answer: 483*b**2 + 11*b - 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 11:52 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, p: 10}. Give prob of sequence ppt.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*m + m - 45, 5*m - 40 = -3*f. Let x(r) = r + 1. Let w be x(f). Solve w*d - 3*k = 5*d + 6, 0 = k + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*m - 0. Suppose -2*w + w = m. Let z be 1525\/(-525) - 4\/42. Sort 0, z, w.\nAnswer: z, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - s = 7416, 4*s - s = 4*r - 9893. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - h**2)*(h - 2*h + 0*h) + (-3*h + 0*h + 5*h)*(-h**2 + 3*h**2 - 3*h**2) + 2*h**3 - 5*h**3 + 4*h**3 + 4*h**3 - 2*h**3 - 4*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38.97 - -40. Let x = s - 1.029941. What is x rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, j: 7, u: 1}. What is prob of sequence iuii?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2 (b) 0.1 (c) 0 (d) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 599 - 599. Which is the closest to r? (a) -1 (b) 1\/6 (c) -1\/2 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 1351 = -4*v - 3129, -4*z + v - 4470 = 0. Let o = -711 - z. What are the prime factors of o?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -19, -33, -5, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5241.2719 - -10800.9898. Let y = m - 5559. What is y rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -9. Let z = i - 10.1. Which is the nearest to z? (a) -1 (b) 0 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6773 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16 + 8)\/8)\/(-21)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ws when two letters picked without replacement from {o: 1, g: 1, e: 2, s: 5, w: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*y - y = -60, k + 5*y - 42 = 0. What is the remainder when k is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven eighths of a minute?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of z**5\/7 - 3*z**4\/28 - 2*z**3\/21 + 4. Factor f(n).\nAnswer: n**2*(n - 1)*(5*n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 15821 + 23267 = 94*t for t.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 156863*d - 3294131. Calculate y(21).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 615, 569, 521, 471, 419, 365?\n\"Answer: -k**2 - 43*k + 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*t = 0. Suppose t = 2*l - 6*l - 4. Suppose 8*k = 3*k. Which is smaller: l or k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 + -232\/5. Let v = 116 + -101. Suppose -8*z - 14 = -v*z. Which is the third smallest value? (a) z (b) -12 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -556 or 1\/3?\nAnswer: -556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 9*p**2 + 8*p + 6. Let d be o(-8). Suppose -d = 2*k - k. Let v be ((-2)\/k)\/(0 - -1). What is the closest to v in -1\/4, 1\/4, 2\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 35*m**2 - 77*m - 120. Calculate u(-37).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 248, 356, 444, 506, 536?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -140 + 69. Let o = -65.2 - w. Let f = -5.80000098 + o. Round f to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553914549.\nAnswer: 3, 61546061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 470374?\nAnswer: 2\/235187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-288)\/(-48))\/(9\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen fifths of a centimeter?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95212343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 30401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95052 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 6*g - 15. Let c be u(-7). Let j = c - -52. Calculate the highest common divisor of 30 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 18 = 3*b - u, 6917*u - 6899*u - 85 = -5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.01, 22, 4\/21?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 155*k**3 - 159*k**3 + 1.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 720944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -423616, -423115, -422280, -421111, -419608, -417771?\n\"Answer: 167*a**2 - 423783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1)*(-7 + 4*o + 7) + (2*o + 4*o - 5*o)*(-4 + 3 + 2) as i + d*o and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 12:21 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -56 - (-1956)\/36 - (418\/(-60) - -2). Let o = 4 - 1. Is f bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 4 + -11 + -14 + -6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1221\/7 - -250368\/1435. Find the common denominator of u and -93\/10.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -12 - 9. Let y = l - -11. Suppose 0 = -2*j - 3*j - 5*f + 12499995, -4*j + 10000004 = -y*f. Round j to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 260 = -2*t, -14*s + 9*s + 3*t + 652 = 0. What is the remainder when s is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -93 - -95. What is the derivative of 38*h**4 + 20*h**4 + 187*h**n - 189*h**2 - 55 wrt h?\nAnswer: 232*h**3 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 39466, 39373, 39218, 39001, 38722, 38381, 37978?\n\"Answer: -31*u**2 + 39497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(396).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634140635?\nAnswer: 5, 126828127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -11*v**2 + 3*v - 2. Suppose -139*i - 4*q = -136*i + 20, -3*i - 3*q - 12 = 0. Let u(l) = -22*l**2 + 5*l - 4. What is i*u(s) - 7*b(s)?\nAnswer: -11*s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.2, 15\/23?\nAnswer: 15\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 9*k. Suppose -4*u + u + 39 = k. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 12*o + b = -48746, 2*o + 5*b = 32520. Is o a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 605488 and 11808.\nAnswer: 10898784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5ac2a (base 16) in base 11?\nAnswer: -234339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/15 + 344062*k\/15.\nAnswer: 2*k*(k + 172031)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 15349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(-4678*v - 633*v - 8*v - 358*v).\nAnswer: -11354*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 73 = -o - 104, -o = m - 59. Is m <= 175\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*((-1*sqrt(65)*1 - sqrt(65)) + sqrt(65)))\/(sqrt(500) + -2*sqrt(500)*-1 + sqrt(500)).\nAnswer: -3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -6*z + 1. Give g(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9179 + -9321 + 155 + -1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 12*w**2. Let t = -18 + 13. Let o(r) = -2*r + 3. Let d be o(t). Let i(u) = -d*u + 5*u + 7*u. Determine k(i(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**24\/t)*t)**(-10\/9)\/(t**(-2\/15))**(-12) assuming t is positive.\nAnswer: t**(1028\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 p, and 1 j when four letters picked without replacement from ypljnbyp.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 15 + 11 + (-40 - -17).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**5\/60 + 14*t**2 - 2. Let l(j) = 18*j**2. Suppose -5*n + 3 = 8. Determine n*l(a) - 24*f(a).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14719823 is divided by 669079?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21960 equal to 21973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 17*y + 15. What is h(-18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnj when three letters picked without replacement from {j: 12, n: 3}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -80.2 and -3?\nAnswer: 77.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 10.078, -1\/5, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1353, -5, -4 in decreasing order.\nAnswer: -4, -5, -1353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + 2*w - 3*w)*(0 + 0 - 3*w) + (-3*w + 5*w - 5*w)*(0*w + w + w) + w**2 - 2 + 2 + 2*w**2 - w**2 - 4*w**2 to f*w + g*w**2 + k and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 8*c - 1. Let o be q(1). Suppose 5 = -2*n + o*n. Calculate the remainder when 54 + 2*n\/(-2) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1967171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/15 + 470\/150. Suppose 6 = -s + 4*d + r, -5*s - 36 = d. Put s, -4, 1 in increasing order.\nAnswer: s, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -21. Suppose 90 = t*b + c + 2*c, -2*c = 0. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -89 (b) 1\/6 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*((2*sqrt(180) - sqrt(20))\/(sqrt(1000)*-1 - sqrt(10))*-1)**2.\nAnswer: -292\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.8, 4\/17, -15?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.73 plus -4826452229?\nAnswer: -4826452232.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j - 12*j + 68. Suppose 5*y = -2*l + 6, 4*y + 5 = 4*l - 7. Solve 11*m**2 - 38*m**l - 3*m**2 + 25*m**3 + j*m**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*j - 777, -5*q + 0*j = 3*j + 1301. Round q to the nearest ten.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**2 - 808*f - 25428 = 0.\nAnswer: -163, -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/7 + 1154*j\/7 + 1140.\nAnswer: 2*(j + 7)*(j + 570)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 908\/251289*(-513)\/(-38).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 191*y**3\/2 + 167*y**2\/2 + 18*y - 1. Is c(40) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**3 + 5*h**2 - 4*h - 3. Let t(o) = 2*o**3 - 4*o**2 + 3*o + 2. Calculate 2*g(p) + 3*t(p).\nAnswer: 2*p**3 - 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2088504?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p = -5*s - 10, 5*p + 29 = -4*s. Let k be p\/(-30)*8\/2. Let g be 301\/258 - 3\/2. Sort g, -5, k in ascending order.\nAnswer: -5, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 6*b - 9, -2*b = -3*z - 2*z + 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(5) + sqrt(500)*-2 - (sqrt(5) + -1)*-3) - (6*(sqrt(45) - sqrt(5) - sqrt(5)) + -2 + (-3 + sqrt(5) + 0 - (sqrt(40)\/sqrt(4))\/sqrt(2))))**2.\nAnswer: -264*sqrt(5) + 2456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -98\/3 + 33. What is the closest to 0.1 in x, -1, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -1. Let i(b) = 10*b - 1. Let s(t) = t**3 + 10*t**2 - 12*t - 10. Let m be s(-11). Let a(d) = m*w(d) - i(d). Let u(f) = 2*f. Calculate a(u(c)).\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4222465 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1682 - -3800. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-28 - 4393\/(-138))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/((-16)\/(-30)))\/((-3)\/4). What is the remainder when 18 is divided by c\/4*(-44)\/55?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-24))\/(-7*(-4)\/(-32))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 14*a**3 - 3664*a**2 + 239206*a + 68644 = 0.\nAnswer: -2\/7, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14601019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*3\/(-8)*(-49514)\/3909?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -3. Suppose p = -2*c - 2*c. Find the common denominator of -39\/11 and (-4)\/(16\/102) + c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11c959 (base 13) to base 16.\nAnswer: -68725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000128849015 rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68521350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1540 and 5324.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-10))\/(2\/(-5)). Let c = 3 - -1. Let i = -3.7 + c. Do i and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 3*l = -7*l - 4, -108*o = -111*o - 3*l + 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -328590, -1314338, -2957246, -5257308, -8214518, -11828870?\nAnswer: -16100358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360 is divided by 24.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 23495.\nAnswer: 1\/4699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35255 is divided by 17568?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/20746 and -79\/44?\nAnswer: 41492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**3 + 4*y**2 + 4. Suppose 0 = -6*p + p + 60. Suppose -13*d - p = -10*d. Let g(m) = m**3 + m**2 + 1. Give d*g(a) + z(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*z - 3*r - 20, -2*r = -5*z + 10. Suppose l - 207 = 2*y - 6*y, -2*l + 159 = 3*y. Put y, z, 2 in decreasing order.\nAnswer: y, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1074575 and 1325?\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*l - 3*l = 11, -5*x = 5*l + 35. Let v = x - -13. Solve g - 4*g - v = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5698754 + 79726431\/14. Let k = 4015 + m. Find the common denominator of k and -19\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, y: 5, t: 3, s: 3, v: 2, w: 1}. Give prob of sequence yft.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -566503 * -1.33.\nAnswer: 753448.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 8*b**2 - b + 1. Let n be y(8). Let m = 0.05 + 0.35. What is the second smallest value in m, n, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -15. Calculate the remainder when 41 is divided by 102\/5 - 3\/u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-351)\/24)\/(47\/(-94)))\/(72\/192)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0\/1)\/((-3)\/((-1)\/1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*o, 4*o - 47 - 17 = -2*q. What is the least common multiple of 8 and q?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.3, -7\/2, 23\/6, 1?\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-3)*19536\/(-1184)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -13. Calculate the remainder when 25 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 - 3*o**2 + 3*o + 7. Let m(c) = -2*c**3 + 3*c**2 - 2*c - 6. Calculate 4*m(g) + 3*p(g).\nAnswer: -2*g**3 + 3*g**2 + g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 + 23.74?\nAnswer: 289.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-5))\/(-3 - -1). Let w be (-5)\/(-2)*(-64)\/240. What is the third smallest value in -0.3, w, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 205*h**2 + 159*h + 28. Determine n(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 4*i = 762 - 750, -20 = 5*g - 3*i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 6. Let v = -2.95 + z. Let t = -0.0399 + v. Round t to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -351*v - 9*v - 4 + 24*v + 4 to g*v + p and give g.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2)*6\/((-36)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + 0. Let j = -2 - n. Let v = -6984 - -6985. Which is greater: j or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16238 at least 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91 + 88. What is the tens digit of (n\/(-6))\/(9\/774)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 250 = -5*f. Let g = f + 57. Suppose 10*x - 5*x = 0. Solve x = -n + g - 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + -22?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -1\/3, 2, -4, -3\/2, -7 in ascending order.\nAnswer: -7, -4, -3\/2, -1\/3, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1451, 1454, 1459, 1466?\n\"Answer: b**2 + 1450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*j - 3*j**2 - 20*j**3 - 13*j**3 + 35*j**3 to n*j**2 + o + p*j + w*j**3 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 4 + 6 - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.21 + -17.79. What is the nearest to 1\/2 in -3, m, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 605, 745, 1069, 1667, 2629, 4045, 6005?\nAnswer: 8599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 197179416 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*o = 6, -b + 2 = 120*o - 117*o. Solve 29 = b*t - 5*n, 4*t - 5*n - 39 = -6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1598913500 - 1300.\nAnswer: -1598914800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006544 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/9 - 6418*o**2\/9 + 50480*o - 903456.\nAnswer: 2*(o - 3137)*(o - 36)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/120)\/(5\/(-580)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68529.\nAnswer: 3, 53, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3162.\nAnswer: 2, 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.153 and 0.59?\nAnswer: 1.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 3. Suppose l*g + 3*o - 11 = 0, -2*o = -0*o + 2. Let y = g - 4. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30799*i = -30719*i - 2880 for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24*21\/98 + (-3)\/21. What is the first derivative of 3*l**2 - 19*l + s + 15 + 44*l + 1 wrt l?\nAnswer: 6*l + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1045194*s**2 - s + 41631 wrt s?\nAnswer: -2090388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 4*u**2 - 2*u - 6. Let i be m(-4). Suppose 0 = 4*b - 2*b - 6. Solve b*x + i = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4662\/63)\/((200\/150)\/((-2)\/3))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -4 + 2 + 2 + -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1137 (base 10) to base 7\nAnswer: -3213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.9, 1, 0.3, -3\/19?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 4*c. Suppose 8*t - 14*t - 12 = 0. Let f be m(t). Solve -31 = 3*j - 4*x, -5*x = -f*j - 44 + 4 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 96540564 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -9*j + 20. Suppose -5*t + 4*l - 3*l + 15 = 0, t + 18 = -4*l. Let g be o(t). Solve 3*h - 4*h = g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.23 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-192)\/(-40))\/(468\/1300)*(162\/10)\/3?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/(-35) + (2\/(140\/1270) - 16).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2)*z\/(z*((z\/z**4*z)\/z)\/z*z)*z)\/((z\/(((((z**1\/z)\/z)\/z)\/z)\/z))\/z*z)**(-7)*((z**(2\/7))**(4\/7))**(-1\/67) assuming z is positive.\nAnswer: z**(124746\/3283)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) 1 (b) -1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -0.0651422?\nAnswer: -3.9348578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 + -9)*(-4)\/6. Let y be (-21 - (f - -2))*(1 - 2). Is 25 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-14)*13\/(8099\/28). Which is greater: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/1311 and 83\/1012?\nAnswer: 57684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1725 - 74*x - 3451 - 8*x - 158*x + 1722.\nAnswer: -240*x - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**4\/4 - 8*x**3\/3 + 5*x**2 - 14*x - 168. Give z(-10).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 5919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3737 and -1437.3?\nAnswer: -5371190.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107547 is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*g. Let i = 2.3 + -2.7. Which is the biggest value? (a) g (b) 0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b*r**3 + 47*b*r**2 - 2*b*r - 13*b - 3*r**5 - 16*r**2 - 5*r wrt r.\nAnswer: 12*b*r + 94*b - 60*r**3 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 4*k - 65. Let x(l) = -337*l + 2. Calculate x(z(w)).\nAnswer: -337*w**2 + 1348*w + 21907","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -45715, -46037, -46359?\n\"Answer: -322*i - 45393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 15*l - 47. Let s be x(16). Let y = 672 - s. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14245*f - 13923*f - 19082*f - 1732*f - 7699*f.\nAnswer: -56681*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 278, 697 in descending order.\nAnswer: 697, 278, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 15, 0*z - 50 = -5*z - 2*o. Let d be ((-45)\/z)\/(6\/(-16)). Calculate the highest common divisor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 at least -3\/70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*d**2 + 4*d**2 - 8*d**2 + (-d**2 - d**2 + 4*d**2)*(2 + 5 - 5) + (5 - 2 - 1)*(-3*d**2 + 0*d**2 + 2*d**2) as x*d + w*d**2 + v and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228343565*v**2 - 456687108*v**2 + 228343551*v**2.\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + -1 + (-2 + sqrt(432) + 1 - sqrt(432))) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 6. Let d(u) = -u**3 + 5*u**2 + u + 1. Suppose 2*p + 5*f = 75, 3 = 2*f + 5. Calculate the remainder when p is divided by d(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.825 - 0.81658. Round i to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*f**2*k*r + 6*f**2*r - f*r*u + 19*f*r + 256*k*u - 168*r*u + 2*r wrt k?\nAnswer: -9*f**2*r + 256*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 7. Let n(l) = l**3 + 10*l**2 - 12*l - 9. Let o be n(g). What is the second derivative of 25*b**5 - o*b - 16*b**5 - 14*b**5 wrt b?\nAnswer: -100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 4, -9\/10, 3, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40458612739.000000044 + -40458613203. Let f = g - -464. Round f to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 159*f - 126. What is m(6)?\nAnswer: 828","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -5) + 1 + 6 + 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*((-h - h + h)*(-6 - 4 + 2) + 0 + 0 + h).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1011 - -1016. Let s(k) = 9*k - 4. Let v(d) = 8*d - 3. Give c*v(q) - 4*s(q).\nAnswer: 4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13291723.\nAnswer: 23, 577901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqeeq. Give prob of sequence qeeq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a minute in seconds?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*z**3 - 500*z**2 - 1295*z - 330.\nAnswer: -5*(z + 3)*(z + 11)*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*p = -0*p + 10, -2*p = -2*x. Suppose 24 - 81 = -3*b + 3*h, 3*b + x*h = 81. What is the smallest common multiple of 14 and b?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-409536)\/(-39))\/6 + (-14)\/91 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4531*r = -4502*r + 812 for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/4)\/(34\/(-8)). Let k = 0.12 + 0.88. Is k bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0. Suppose d = 3*o + c - 12, o - 4*c - c - 4 = 0. Suppose 2*n = 12 - o. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**3\/5 - 212*d**2 + 3198*d\/5 = 0. Calculate d.\nAnswer: -533, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 915 = -2*t + 10*t - 24*t for t.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3939, -3894, -3763, -3504, -3075, -2434, -1539, -348?\nAnswer: 1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.40178 micrograms to milligrams.\nAnswer: 0.09740178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.407 + 6.407. What is the nearest to -32\/23 in k, -1\/3, -4, 2\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 60*l**2 + 2. Let h be j(60). Solve x = h*x - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 859*r**2 - 859*r**2 + 1 - r + r**3 in the form q*r**2 + s*r + z*r**3 + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 10:22 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 14*w**2 - 11*w + 26. Let y be z(-13). Solve 2*j = -y*j - 2*r - 14, -15 = 5*j + r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*f - 5. Suppose 5*v + 2*d - 31 = 0, -d - f + 30 = 5*v. Sort v, -1\/5, -5, -0.3 in decreasing order.\nAnswer: v, -1\/5, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - -4301?\nAnswer: 4309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 20, -j + 5*j - 4 = a. Suppose -2*p - 2 = j, -57 = 2*b - 3*b + 3*p. What is the remainder when b is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(4\/21)\/(d*d**(-16)\/d*d)*d**(-3\/2)\/d*d**(-26) assuming d is positive.\nAnswer: d**(-559\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 17*h - 18. Suppose 0 = -u + 2*y + 2, -8*y = 4*u - 3*y + 18. Let x be s(u). Solve -4*z - 8 = -2*w, 5*z + 3*w - x = 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -25, 31, -2\/17, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 4:27 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 6*v + 8*v + 24 - 10 to r + d*v and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -100001010101100111?\nAnswer: 100001010101100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (3 + -13 - (-12 + 6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11356919041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express h**4 - h**4 + h**4 + (7*h - 3*h + h)*(-3 + 91*h**3 + 21 - 89*h**3) as l + p*h**3 + n*h + o*h**4 + b*h**2 and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 810.5803g to milligrams.\nAnswer: 810580.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**5 + 40*d**4 + 138*d**3 = 0.\nAnswer: -3, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/301 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 11*n - 7. Let o be 69\/7 + 7\/49. Let t be f(o). Is -18 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2895\/176 + 227\/11. Calculate the common denominator of o and -81\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 4 - 9 - 632*z - 198*z + 9 as p*z + x and give p.\nAnswer: -830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.5, -1.35, 4.01, -5, 5.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 704 - 688 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**3 - 1131*w**2 - 116529*w - 1826337 = 0. Calculate w.\nAnswer: -179, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 491 + -530. Let k = 38.644 + s. Round k to 2 dps.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -249, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3141 + 3183. Let a be 2 - (1 - 1) - -376. What is the greatest common factor of d and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4 + 54 = -5*o, -d + 16 = -4*o. Let i be (d\/20)\/((-6)\/15). Let f = -43\/14 + 39\/14. What is the third biggest value in i, 2\/3, -5, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33 or -43?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 - 66. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*w + 1953 = -125*w + 29*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 2035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -2, -43 in ascending order.\nAnswer: -43, -30, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -544090*y**5 - 2*y - 56362 wrt y?\nAnswer: -10881800*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -m. Let b = 0 + m. Let s = 695\/11 + -63. Which is greater: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-72) - (-2 + (-75)\/27). Solve -5*y - f = -3*f + 17, -l*f = -2*y - 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, c: 10}. Give prob of picking 2 g and 1 c.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s - 88 = -34*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n + 103. Let t be g(-14). Solve -t*r = 5, 4*d = 2*r - 16 + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-24)*2)\/((-3)\/4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**2\/15 - 3574*a\/15 + 26532\/5 = 0.\nAnswer: -1809, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/20 and 69\/4276.\nAnswer: 21380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 683629180 divided by 5.\nAnswer: 136725836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3674 and 23714?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wajwwwjajw. Give prob of picking 1 w and 2 j.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*19.21.\nAnswer: 5.763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000032492162 to seven dps.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164321172?\nAnswer: 2, 3, 4564477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12832271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 9794037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -0.3, 9, 5 in descending order.\nAnswer: 9, 5, 3, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3989101 - 729153.\nAnswer: -729152.6010899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90 - 90.051. Let h = j - 2.649. Let x = h + 3. What is the closest to 0 in -5, x, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 802499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -136 + 128. Let d be (-6)\/c - (-2)\/(32\/68). Solve q - 3*p = -4*p + 3, -d = -q - 2*p for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 750, 22.\nAnswer: 2, 5, 22, 750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 115 + -10?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*y = 1027, 294 = 3*s + 5*y + 1325. Let f = s + 340. Solve -f*t + 3*r + 3 = -18, -2*r - 10 = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3772*t**3 - 2368*t**3 - 8195*t**2 + 14761*t**2 wrt t.\nAnswer: -36840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1. Suppose 2*t + 5*n - n = -10, 4*n = -4*t - 16. Suppose 0*m = 5*m - 10. Which is the closest to 1\/3? (a) m (b) t (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4377 times -2.0852?\nAnswer: 9126.9204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5903 + -5892. Let v(l) = 21*l**2 + 29*l - 5. Let n(o) = -4*o**2 - 6*o + 1. Calculate i*n(h) + 2*v(h).\nAnswer: -2*h**2 - 8*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29632577 to the nearest integer?\nAnswer: 5444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -135326 - -18268916\/135. Calculate the common denominator of d and 149\/330.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 - -52. Let p be (-20)\/(-70) + 33\/d. Suppose -5*m + 6*a + 37 = 3*a, 5*m - 35 = p*a. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1720267406 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*q + 202 - 0 - 2. What is the closest to -0.024 in 0.3, -0.4, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 23 - 34*v**2)*(7 - 4 + 7).\nAnswer: -340*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-15) - 0)\/((-20)\/(-275)*22). Let h = -523.0421 - -523. Which is bigger: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 + -75. What is the closest to 0 in -0.05, t, -1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*d*i**3*s + 15*d*i**3 - 2*d*i**2*s - 2*d*i**2 - 7*d*i*s - 6*d*s + 561*d + 2*i**3*s - 13918*i**3 + 5*i**2*s + 3*i**2 wrt i.\nAnswer: -42*d*s + 90*d + 12*s - 83508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21052.04km in centimeters?\nAnswer: 2105204000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6922*v - 20945*v + 6594*v to s + u*v and give u.\nAnswer: -7429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-1) - (-1 - 1). Let u(g) = -2*g - 5. Let x be u(-5). Sort r, x, 4.\nAnswer: r, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 divided by -2?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gme when three letters picked without replacement from mggntneeggetgttem?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -5 - ((5 - 2) + -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z + 33 = 21*z - 3*u, 4*z - 23 = -u. Let d(v) = 12*v + 7*v - 24*v + z*v. Let c(y) = 3*y - 12. Determine d(c(p)).\nAnswer: 3*p - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10362 is divided by 64.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 423200*f**5 - 1363440*f**4 + 1556322*f**3 - 720326*f**2 + 109446*f - 5202 = 0. What is f?\nAnswer: 51\/460, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1654 - 16745\nAnswer: -18399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2323, -4\/9, -2\/17 in descending order.\nAnswer: 2323, -2\/17, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4382713583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + 1. Let x be ((-169)\/(-26))\/(2\/o). Let m = -19 + x. Solve n + 4*n = -m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -579361, -1158722, -1738083?\nAnswer: -2317444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166 + 83 - 1573*p**3 + 83.\nAnswer: -1573*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 117749 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 36*z - 58. Let n be c(-34). Let i = 0 + 1. Let p be (i - 8)*(1 + -2). Solve -b + n = 5*x, -5*x = -b - 27 + p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2187.348 to the nearest 10.\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + sqrt(7) + -1).\nAnswer: 2 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 464312374?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -2.0421?\nAnswer: 1.9579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -4 (b) -1.1 (c) -0.218\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -p + 5*p - 4, 0 = j - 4*p - 20. Suppose -4 = j*c + 8. Sort c, -8, -1\/7.\nAnswer: -8, c, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 38*f**3 + 40*f**3 - 8*f + 40 + 36*f**3 + 3*f**2 - 111*f**3. Is 9 a factor of r(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*g + r + 20, 4*g = 2*r + 14. Suppose -13 = -g*m - i, -m - 2*i + 0 = -5. Solve -c = s - 5, 2*s - 1 = c - m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 4 - (-2 - -7). Solve 0 = -k*t + 3 - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-36) + (-58)\/(-18). Solve 3*n - q - 5 + w = 0, 7 = 5*n + 2*q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f - 3. Let w(t) = -4*t - 147 + 141 + 3*t. Let j(x) = -5*u(x) + 3*w(x). What is j(9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65.14 - -65. Which is greater: p or -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2327.\nAnswer: 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k - 5 - 3 + 8. Let r(j) = 2*j - 13. Let x be r(7). Calculate y(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 55*b - 11. What is the tens digit of q(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 180*d. Let k(n) = -9*n. Suppose 2*y - 8 = r, 4*r + 112 = 2*y + 104. Give y*g(o) + 81*k(o).\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p + 5. Let a be u(0). Suppose -g + a = 1. What is the closest to 2\/3 in 0.3, -1\/5, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 448, 891, 1332, 1771, 2208, 2643, 3076?\n\"Answer: -n**2 + 446*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 33 + 1?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3487411 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1556 is divided by 70.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4534 (base 7) to base 8\nAnswer: 3152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 17*o - 22. Determine j(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(4\/(-16)*-2)\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**3 - 2*k**3 - 2*k**3 + (-3*k - 2*k + 7*k)*(0*k**2 + 2*k**2 - 3*k**2) - 9*k**3 - 18*k**3 + 0*k**3 + (-5*k + 3*k + 0*k)*(-2*k + 2*k + k**2).\nAnswer: -33*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*v**4 + 40*v**3 - 837*v**2 - v - 624209 wrt v?\nAnswer: 8*v**3 + 120*v**2 - 1674*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 225174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 4*t + 11*t - 12*t**2 - 4*t.\nAnswer: -12*t**2 + 3*t + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -4, -3, 28, 2\/9, -44?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50922, 5, 853 in descending order.\nAnswer: 853, 5, -50922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by 1105392\nAnswer: -23\/1105392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/23, 0, 1 in decreasing order.\nAnswer: 1, 1\/23, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 68455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y**2 + 4*y - 2. Suppose h + 4 = 0, -2*f + 16*h + 28 = 19*h. Let b be f\/6*((-8)\/16 - 1). Let t(c) = 5*c**2 - 5*c + 2. What is b*t(o) - 6*l(o)?\nAnswer: -o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -21175*j + 148206. Calculate r(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/4 and 0 + (-3 - 93\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1472 and 276.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5\/4, -2\/7, -10\/99?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 5\/(-5))*3. Let i be 1\/n - 37\/111. Solve f + f = i for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i**(2\/5)\/i*i*i)*i)\/i*i)\/i*i\/(i*i**8))**(-9) assuming i is positive.\nAnswer: i**(423\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4243?\nAnswer: 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*x**3 - 7*x**2 - 3*x + 16?\nAnswer: 30*x - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 90?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u + 4. Let k be 0 - 9\/((-27)\/6). Let x be m(k). Suppose -x = q - 4*c, 0 = -3*q + 3*c + 3. What is the highest common divisor of q and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000001010000 - -10000?\nAnswer: -11000001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.5*3.\nAnswer: 37.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 32 = 7*v. What is the greatest common factor of 63 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*w**4\/5 - 22*w**3\/5 + 44*w**2\/5 + 2*w - 24\/5 = 0. Calculate w.\nAnswer: -4, -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16578996*f**5*w**2 - 3*f**5 - 9*f*w**2 + 7753*f + 135 wrt f?\nAnswer: 331579920*f**3*w**2 - 60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**5\/5 - 4*m**2. Let i(a) = a. Give h(i(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 204*y**4 - 9*y - 394*y - 42*y - 86*y wrt y?\nAnswer: 2448*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2250 is divided by 449?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**5\/20 + d**4\/12 - d**3\/2 + d**2\/2 + 158*d. Calculate r(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379693 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 - 2*i - 2. Let d be l(-2). Suppose 3*p - 15 = -5*u, 2*u = -4*p + 8*p + 6. Sort u, d, -3.\nAnswer: d, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 351289400 rounded to the nearest one million?\nAnswer: 351000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -100201331021 (base 4) in base 7?\nAnswer: -51555530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10806 - 6801. Suppose 0 = 7*n + 1240 - h. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - t)*(-46*t**4 + 56*t**4 + 1 - 2).\nAnswer: -10*t**5 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = 10*k - 112. Let l be ((-3)\/(-8))\/((-7)\/(k\/(-12))). Let x = -8 + 10. Put l, -0.5, x in decreasing order.\nAnswer: x, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8797 and 114?\nAnswer: 52782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + k**2 + 0*k**2)*(5*k - 4*k + 0*k) - k + 2*k**3 + k - k**3 + 0*k + 0*k - 6798*k**3 + 269903*k**2 - 269903*k**2.\nAnswer: -6795*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 3:51 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 165\/(-66)*10*((-10)\/5)\/2?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 28639?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3325625 is divided by 6719?\nAnswer: 6439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 14. Solve 2*b = g, -4*f + 2 = f - b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = r + 5*s, 4*r - 3 = s + 8. What is the tens digit of 10 + 0 + (5 - r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 - -2*1)\/1. Suppose 5*z - 3*j - 16 = 0, 5*j + s = -0*j. Solve q + 1 = z*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*d = -34 + 13, -3*v + 3*d + 15 = 0. Let o be ((-420)\/208 - v) + 3 + 0. Let x = -3\/13 + o. What is the second smallest value in -2, 3\/10, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 56.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -2\/11, -0.0261?\nAnswer: -0.0261","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1069319 * -8.4.\nAnswer: 8982279.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 852351 (base 13) to base 15.\nAnswer: 418d46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*2*(-159)\/12. Let m = z - 26. Let t be -3 + 24\/9 + 1. Which is the biggest value? (a) 1 (b) t (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 6:56 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/7, -352, -13, -550?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -615 + 1112. Suppose -45*t + 52*t - y = 0. Calculate the remainder when t is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 2:45 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -2*y + 112, -4*y - 16 = -r + 2. Let t = 21 - 12. Let c = -3 + t. What is the remainder when r is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(3\/5)\/z)\/z)\/z*(z**0\/z)\/z)**(3\/5) assuming z is positive.\nAnswer: z**(-51\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.66 take away -146?\nAnswer: 175.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 y, and 2 r when four letters picked without replacement from {g: 1, s: 4, y: 3, l: 2, p: 2, r: 2}.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-4)\/(-11) + 3808\/176 + -18 and 154?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76eb (base 15) to base 4\nAnswer: -12021230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-2) + 250*4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -649*a*c**2 + 4*a*c - 5*a - 1398*c**2 + 346587*c wrt c.\nAnswer: -1298*a - 2796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 7 - (2 + -1). Suppose 0 = 4*m + j*c - 24, -5*c + 25 = 10. Let l = -16 - -26. What is the lowest common multiple of l and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/29)\/((-15251)\/442279).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -470 + 457. Let x be (-28)\/(-10)*10\/(-2). Is 20 a factor of 47*5 + (x - o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3633 - 1279. What are the prime factors of f?\nAnswer: 2, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -19.87397.\nAnswer: -19.67397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 425930719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*q = 75*q - 16. Let m(w) = -23*w - 106. Let k be m(-14). Calculate the greatest common factor of k and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -20*u**2 - 457*u - 1131. What is k(-21)?\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**4\/12 + f**3\/3 + 2*f**2 + 7*f. Let n be x(3). Put 5, -4, n in increasing order.\nAnswer: -4, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 3:03 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -6. Let k be (-16)\/(-9) + 20\/90. Let t(u) = 5*u - 3*u - k*u + 3*u + 6. What is t(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -5*a**2 - 9300*a - 4324500 = 0?\nAnswer: -930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43803.28 years to millennia.\nAnswer: 43.80328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 12\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**2 + f. Let p(c) = c**3 - 8*c**2 + 6*c + 6. Suppose 3 = 3*n, -2*r + 4*n = -5*r + 25. Let s be p(r). What is o(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/16 + (-1 - (-92)\/(-40))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 6985.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + -50 - (3160 + -3181).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, 252, 379, 506?\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 2*z - 5, 43*b - 42*b - 3*z + 6 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 59*k + 65. Calculate the remainder when m(7) is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84811719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/117376826 and 15\/410818891.\nAnswer: 821637782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 196 - 188 = 0. Suppose 5*o + 2*z - j = 0, -4*o + 4*z + 88 = -0*z. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -291 by -4.\nAnswer: 291\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {i: 5, l: 8}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 770 divide 6938470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43608880 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 79438 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-9))\/(1*-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -0.1 (b) 21 (c) 27\/11 (d) -1\/7 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 5*w = 4*j - 18, 0 = -j + w. Suppose 5*g - 8 = -d, 5*d - 2*g - 7 = 6. Let x be (12\/4 - d)\/(-2). Put j, x, 5 in descending order.\nAnswer: 5, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f*r*x**3 + 6764*f*r*x**2 + 12*f*x**3 - f*x + 4*r*x**3 + 3*r*x**2 - 3*x**3 wrt x.\nAnswer: 6*f*r + 72*f + 24*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4189575 and 15?\nAnswer: 4189575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1339 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 61436.62mm?\nAnswer: 0.06143662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*c - 13. What is the third derivative of -14215*g**4 + 48*g**2 + 51*g**c + 14215*g**4 wrt g?\nAnswer: 3060*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 18*l**2 - 25*l + 13. Let t(v) be the first derivative of -v**4\/2 + 2*v**3 - 3*v**2 - v - 6. Let g be t(3). Is k(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 5) in base 2?\nAnswer: -111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 2aa1b9?\nAnswer: -2aa1b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16622 + 16622 - 219*h to u*h + n and give u.\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2775 or -102717\/37?\nAnswer: -102717\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - (-3 + (-8)\/12))\/((-9)\/(-27)). Solve 99*k - 85*k - d = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 2, a: 1, h: 1, r: 1, k: 1, f: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utrwcfft. Give prob of sequence tw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 2) + 7 + 2. Let m(p) = 2*p**2 - n*p**2 + 6*p + 0*p**3 - 3 + p**3. Determine m(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 902461 to the power of 1\/2, to the nearest integer?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -45*g - 1222 + 1822 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(5\/14))\/t)\/(t\/t**(-44))*(t\/t**(-2\/49))**47)**(-2) assuming t is positive.\nAnswer: t**(-349\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*t - 105 + 90 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -17436569264 and 0?\nAnswer: 17436569264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -6 + 3 + -4 + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -20, 4, 0 in increasing order.\nAnswer: -20, -3, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 125537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.94 + -0.06. Let j be (21\/35)\/(2\/(-10)). What is the closest to 1 in j, d, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 35772 (b) 1\/3 (c) -148 (d) -1 (e) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(-2 + 2 + 1)*(-29*b + 47*b + 30*b)*(-2 + 3 + 0 + (0 - 3 + 5)*(-5 + 5 - 2) - 1 + 3 - 4)*(-3*b - 5*b - 2*b).\nAnswer: 2400*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8 - -7942593137.\nAnswer: 7942593136.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -2*c + 4, -c + 4*g + 2 = -0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58450376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (58\/8)\/(6\/(-8) + 1). Let c(z) = -2*z**3 + 61*z**2 - 39*z - 112. Is c(d) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57*i**3*t - 37680*i**2*t + 82*i*t + 2*i - 78*t + 615 wrt i.\nAnswer: -342*i*t - 75360*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 39 = 2*n + 7 - 13, 6*n - 3*n + n = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + k. Let l(q) = -3*q**3 - 6*q**2 - 4*q. Let v(p) = -6*i(p) + l(p). Find the second derivative of v(z) wrt z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*p**2 + 8*p**2 + 14*p**2)*(2*p - 4*p + 4*p) + (-4*p + 4*p + p)*(-6 + 6 + 6*p**2) as h + c*p**3 + i*p + f*p**2 and give c.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 54442 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3975*v**3 + 27877*v wrt v?\nAnswer: 23850*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 209*l + 159*l + 207*l - 62*l**2 - 575*l - 60 to j + h*l**2 + v*l and give h.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*1\/((-4)\/(-2)*-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 459769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 44787.33230526 - 10\nAnswer: 44777.33230526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 423282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 12:03 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 32 = -20 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -145 + 154. What is the remainder when 17 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**2 - 1110*s - 308025 = 0.\nAnswer: -555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -18\/17, 4 in descending order.\nAnswer: 4, 2\/7, -18\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4509*n - 3646. Determine h(1).\nAnswer: 863","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 0*n**3 + 3\/25*n**6 + 8\/15*n**4 - 33*n + 12\/25*n**5 + 0*n**2 + 1\/105*n**7 + 0. Let g(m) = 0. What is m?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*n + 14*n - 63878 - 3*n + 41*n + 63878.\nAnswer: 235*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/((-540)\/(-24)))\/(5\/30)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*h = 152*h - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 2. Suppose -130 = -t*x + x. What is the remainder when 103 is divided by x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 753 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*s**2 + 6 - 6)*(-6*s**3 + 35 - 35).\nAnswer: 204*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 1:19 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -298, -596, -894, -1192, -1490, -1788?\n\"Answer: -298*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 205193 = 5*i, -3*i + 10864 = -5*w - 112311. List the prime factors of i.\nAnswer: 5, 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -33*x**3 + 7*x**2 - 17*x - 8. Let o(u) = 4*u**3 - u**2 + 2*u + 1. Let i(k) = 6*f(k) + 51*o(k). Factor i(d).\nAnswer: 3*(d - 1)**2*(2*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 10*k + 91. Determine u(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 + 437*z + 2*z**2 - 146*z - 147*z - 145*z.\nAnswer: 4*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111850*w**2 - 335541*w**2 + 111848*w**2 + 111847*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(288)*-4)**2.\nAnswer: 165888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 457 (c) -1\/4 (d) 1 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 23*h**2 - 64*h - 648. What is r(17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, o: 3, p: 1, i: 2, f: 1, j: 2}. Give prob of sequence ijf.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 120239 take away -0.05?\nAnswer: 120239.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 21\/8 of a microsecond?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21397.46 + -20978. Let i = -427.5679 + g. Let x = 8.1 + i. Round x to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4473\/5 - -894. Is w at most -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -506 + 504. Suppose -h + 0*h = -87. Put 2\/15, h, l in ascending order.\nAnswer: l, 2\/15, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1144555\/12 + 94846. Let c = -534 - l. Are 1 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 60994403, 60994402, 60994401?\n\"Answer: -t + 60994404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-9)\/1)*(-144)\/(-336)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11392 and 704524?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3932 is divided by 3896.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14275.2 * -0.01.\nAnswer: 142.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-10) + 6130\/50. Let h = -93 + s. What is the lowest common multiple of h and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**3\/3 + 2*n**2 + 20*n + 51. Let z be r(7). Let d(v) be the first derivative of -9*v**4\/4 - v**3\/3 + 1. Give d(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36644 and 46565363.\nAnswer: 186261452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 4063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-5))\/(1\/(-5)). Let j = 2 - v. Let f(s) = -2*s + 2 + 7*s**3 + 2 - 5. What is f(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20884 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdcdvvcdrdvcvrrdd. Give prob of picking 2 r and 1 v.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m + 11 - 11)*(9 - 9 - 3*m) + (-4*m - 3*m + 5*m)*(-2 + 2 - m) to the form f*m**2 + b + o*m and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/16*8244\/(-458).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Convert -100001010000111001110 (base 2) to base 14.\nAnswer: -205330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**6\/f**(-6)*f**(-2\/15)*f*f**(-6)\/f assuming f is positive.\nAnswer: f**(88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 1. Suppose 5*w = -4*n + 16, -3*n - 3*w - w + 13 = 0. Let j be z(n). Suppose j = 2*f + 2 - 32. Solve -r = 2*r + f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*d**2 - 135*d**2 + 2*d - 105*d**2.\nAnswer: -386*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.02 - 2.8. Let q = r - 0.42. Sort -8, 0.3, q in descending order.\nAnswer: 0.3, q, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 2 - 10\/(-5). Suppose -1 = 2*v - c. Suppose v*o = 137 + 1. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11715\/(-66))\/(-71)*4\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-124)\/(-56)*8)\/((-66)\/3) and -81\/56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10572 (base 8) to base 9\nAnswer: 6121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((5 - 6) + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*x = 2*t + 45, 0 = -5*x. Let h be -5*(1 + (-153)\/t). Let k = h + 99. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -241\/592 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 135 * -895687.\nAnswer: -120917745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 2*z - 3. Let a(m) be the third derivative of -m**6\/120 + m**4\/24 + m**3\/2 - 4*m**2. Let x be a(0). What is n(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 342 in increasing order.\nAnswer: -4, 5, 342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143044 is divided by 5715?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/((v\/(v*v**(2\/11)))\/v))\/v**8)**(-33) assuming v is positive.\nAnswer: v**159","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**2 - 5 - 2*m**2 - 2*m + 2 + m - m + 3*m**2 + (-2*m + 3 - 3)*(-2 + 2 - m) + 1 + m**2 - 1 to w + n*m + r*m**2 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3507815 or -3507879?\nAnswer: -3507815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 6 + -2 + 3 + 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*n - 64 = 41*n - y, 4*y - 8*y - 8 = 7*n - 8*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-196 + 207 - (0 - (-1 - 1))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2809735405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -50 (b) 2.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 6*m**2 - 15*m - 7. Let b be k(8). Suppose 0 = 2*g - 4*j + 12 - 0, 2*j = 5*g + 22. Let c be 0\/2 + g\/(-6). Is b at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6550\/33 - -601\/3. Find the common denominator of 97\/88 and n.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*c - 4*t + 9, 27 = -2*c - 5*t. Let y(b) be the second derivative of b**4\/12 + 2*b**3\/3 - 5*b**2\/2 + 4*b. Give y(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-2) + 0 + 3. Let m be (-6)\/2*(-4)\/6. Let g(d) = d**2 - 14*d + 14. Let q be g(13). Put v, m, q in ascending order.\nAnswer: q, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 9:22 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*i + 3*m + 21, 3*m + 9 = -i. Let w be (-5)\/i - 2\/3. Which is greater: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*n = -q + 1, 0 = -q + 5*n - 5. Suppose q = -0*f - 2*f + 6. Suppose -f*j + 9 = 3. What is the remainder when 4 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10964.4 + -10964. What is the closest to -0.1 in a, 1, -0.4, -81?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 4. Let u(w) = w**2 - 4. Suppose -4*a - 160 = -148. Calculate a*u(r) - 2*m(r).\nAnswer: -r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*(-3 - (-35)\/15). Let w be 4 + (-5 - u) + 90. Suppose -11*y = -193 - w. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 1560 = -7*h. Suppose -h = -y + 22. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 224.07, -6\/7, 0.393?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/6*(-10)\/(-4)*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -3*n**7\/280 + n**6\/360 - n**5\/120 + n**3\/6 + 3*n**2. Let f(g) be the first derivative of u(g). What is f(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -940468.2 times -4?\nAnswer: 3761872.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j. Let m(o) = -39*o + 13*o + 6*o. Determine p(m(s)).\nAnswer: 40*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rppcirrddpridirrrd. Give prob of picking 1 r and 1 d.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*t + 119. Let w(g) = 2*g**2 - t + 119. Let y(q) = -15*q**2. What is y(w(x))?\nAnswer: -60*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c**2 - 5*c**2 - 2*c**2)*(6 - 2*c**2 + 0*c**2 - 5) to the form k*c**3 + j*c + l*c**2 + n*c**4 + q and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137213, -137209, -137205, -137201?\nAnswer: -137197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 + 0*q**2 + 13*q**3 + 37 - 6*q**3 - 2*q**2 to i + d*q**3 + u*q**2 + g*q and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 114630266?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 376453577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*g - 2*g - 4 = 0, 2*g + 12 = 3*m. Suppose -5*d = 5*i - 85, 5*i + 6*d - m*d - 73 = 0. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1272445 is divided by 273?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(325\/(-140)))\/((-262)\/(-1703)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21.300963 - 21.313. What is n rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 108598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*k + 108*k - 36 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1277*d - 2 - 194*d - 196*d - 271*d - 314*d.\nAnswer: 302*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6272 and 114856?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -5*y - 383, 20*y + 17*y = 46*y + 675 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -79\/5 in -0.3, 0.1, 3\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6*c - 28. Suppose 14*o - 25 = 59. Give y(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**5*u\/u**5)\/(u*((u\/(u*u\/u**4))\/u)\/u*u\/(u*u\/(u**6*u)))*(((u*u**(-1)\/u)\/u*u)\/(u**2*u))\/(u**(-1))**43 assuming u is positive.\nAnswer: u**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*v - 19942 = 18*v. Suppose -d - v = -2*y, 2*y + 3*d - 1555 = -5. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6064 is divided by 92?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1\/4, 1\/12, -1.8, 20, 5 in increasing order.\nAnswer: -1.8, -1\/4, 1\/12, 0.5, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d - 36. Determine v(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41 or 208\/5?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 652335?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p + 28 = 3*h, 0 = -4*h - p + 50. Suppose -2*v + 4*r + h = 3*r, -4*r + 48 = 4*v. Let c be 12\/16*v\/33. What is the nearest to 0 in c, 0.5, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 774 and 118809?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -20. Let v = -0.21 - -182.21. Let h = v - 178. What is the third smallest value in -0.3, d, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-1 + 10 + -3 - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**5 + 2*n**2 - 2*n**2 + 2*n**5 + 3*n**5 - 3*n**5 - n**5 + 6*n**5 - 4*n**5 + (-2*n - 2*n**2 + 2*n)*(2*n**3 - 1 + 1) + 8*n**5 - 3*n**5 - n**5.\nAnswer: 4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -8*q - 15. Let g(b) = b**2 - 5*b - 26. Let v be g(-3). Sort 3, v, q in increasing order.\nAnswer: q, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/24 and 47\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*i + 112 = 103, 0 = -t - 5*i - 22. Solve -2*s + t = n, 3*n + 19 = -6*s + 7*s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60345 divided by -5?\nAnswer: -12069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 361*t**6\/6 - t**5\/5 + 59*t**3\/3 - 173. Find the third derivative of f(c) wrt c.\nAnswer: 21660*c**2 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, -1, 2\/7, -11, 2\/3, -0.405798?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22911406 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 - 12. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 - -111. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 5. Suppose 2*z + 8 = 3*d, -2*z - 2 = d + 2*z. Determine p so that y - 4\/5*p**d + 1\/5*p = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1)\/(22\/(-66))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 4*h + 130 - 73\/15*h**2 - 2\/9*h**3. Factor a(u).\nAnswer: -2*(u + 15)*(5*u - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 742 and 366018?\nAnswer: 2562126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 264, 364, 466, 570?\nAnswer: 676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 927507 and 5481.\nAnswer: 8347563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 (base 16) in base 14?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z - 16. Let v(r) = -8*r - 33. Give 7*f(a) - 3*v(a).\nAnswer: 3*a - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 3*j - 24, l - 4 = -2*j - 0*j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76610?\nAnswer: 2, 5, 47, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 44206 times 472?\nAnswer: 20865232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*m - 34 = 2*i, -2*m = -3*i - 18. Let o(x) = 22*x + 66. Let h be o(-3). Solve 2*l + h = -m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 14\/9, 2, -1 in ascending order.\nAnswer: -3, -1, 14\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from nncnkkncckknn.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**5\/10 - m**4\/24 + m**3\/6 + 356*m**2. Calculate u(3).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 715 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 0*k**2 - 4*k**4 + 16*k**3 + 4*k**2 + 234*k**5 - 250*k**5 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 + 3*i + 3. Let n be d(3). Let h be (4\/n)\/((-32)\/58128). Let r = -3921 + h. What is r rounded to the nearest 100?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2891db (base 16) to base 11.\nAnswer: 1556642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6855*s + 104 = 6881*s. Solve s*i + 3 = -25 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70 or 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.3 - -1.7. Let x = 18.984 - y. Let u = 0.0160044 + x. Round u to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 + ((-20)\/(0 - -5) - 2) is divided by 25?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-804\nAnswer: -160.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 9*g**3 - 14*g**2 + 92*g + 24. Let d(z) = 5*z**3 - 8*z**2 + 46*z + 14. What is 7*d(t) - 4*k(t)?\nAnswer: -t**3 - 46*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = k + 7*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-6)*(-22)\/1. Let f = -7 - h. Differentiate f*g**2 - 4 - 2*g**2 + 2 with respect to g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of f**4\/26 - 8*f**3\/39 - 1. Solve k(l) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.3 + -2.3. What is the closest to g in -1\/4, -2\/17, 1\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 276 - -463. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -970 by 194.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9037\/326012 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*((sqrt(1573) + 1 + sqrt(1573) + -5)*-6 + (1 + sqrt(1573) - sqrt(1573))*6 + sqrt(1573) + -4))**2*-4.\nAnswer: -1887600*sqrt(13) + 57302700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -96741949.\nAnswer: -96741935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17423 - -17446. Calculate the remainder when 42525 is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-1 - (4 + -5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 602, 0.5, -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: d30d (base 15) to base 12\nAnswer: 21957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -101112210 (base 3) in base 14?\nAnswer: -2b33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + (sqrt(448) - sqrt(448)*-2) + sqrt(28)\/(sqrt(16)\/sqrt(4)))**2.\nAnswer: 7623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j + j - 13299 + 13325 - 2*j)*(6*j**2 + 2*j**2 - 3*j**2).\nAnswer: 25*j**3 + 130*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 6:59 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -44942.39 rounded to the nearest one hundred?\nAnswer: -44900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/((r*r**(-2\/49))\/r)*r*r*r**(1\/7)*r**(-25)\/(r*(r\/(r\/((r**(12\/7)*r)\/r)))\/r*r) assuming r is positive.\nAnswer: r**(-1153\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 28.6. Let b = 0.9 - h. Let a = -0.29998 + b. Round a to 6 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1371675 to the nearest integer?\nAnswer: 1171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nti when three letters picked without replacement from tni.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q + 18. Let b be y(6). Suppose b = 7*j - 8*j + 2. Let l be j - (-5)\/((-10)\/86). What is l rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 - 11 = -12*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 19*n - 5. Let l be d(5). Suppose -33*p + 180 = -15*p. Calculate the highest common factor of p and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1837880 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.48 + -67.52. Let i = 1150.1 + -1082. Let l = x + i. Is -8 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 554 + 559 - 3*o**2 + 592 - 1705. Let w(i) = -111*i**2 - 3. Give w(s(k)).\nAnswer: -999*k**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**26\/o**(-8\/9) assuming o is positive.\nAnswer: o**(242\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 53*s**4\/2 + 61*s**3\/6 - 63*s**2. Is d(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -q + 322, 0 = -3*q + t + 806 + 118. What are the prime factors of q?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398*h + 402*h - 32 = 0 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 9*a + 4*d - 9, 0 = -4*a + d + 24. Solve -2*z + a*k + 10 = 2*z, 0 = 4*k + 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1491, 0.3, 0.1, 1\/2, 0.02?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/13? (a) -0.2 (b) 37 (c) 1 (d) -0.5 (e) 366\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 16 = t - 3*t, -5*t + q + 40 = 0. Suppose -s + 7 = -t. Find the third derivative of 20*h**2 - 31*h**6 - 10*h**2 + s*h**2 wrt h.\nAnswer: -3720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 415.024 - -0.05.\nAnswer: 415.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert c8 (base 14) to base 10.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -15. Let s be (-2 + -1)*j\/(-3). Find the second derivative of -1 - 491*u - 15*u**2 + 517*u + s wrt u.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g - 4. Let u be h(3). Let i(z) = 3*z**2 + 14*z - 14. Let x be i(1). Solve -u = 2*j, 2*n = -x*n + 2*j - 13 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31862 and 16554.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*i - 5 + 5 + 76*i in the form x*i + v and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31518598.\nAnswer: 2, 37, 97, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -7*i**5\/20 + i**2\/2 + 3*i. Let v(d) = -15*d**3 + 3. Let a(z) = -5*q(z) + 2*v(z). Differentiate a(k) wrt k.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 566*m = -571*m - 5, -4*w - 3*m - 29 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1, 22, -2, -21\/5.\nAnswer: -21\/5, -2, -0.5, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**2\/5 + 17354*q\/5 - 97496 = 0.\nAnswer: -8705, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 6:21 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338787497?\nAnswer: 43, 103, 76493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tk when two letters picked without replacement from kktkktktktk?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nyzpzpdynnjy. What is prob of picking 1 j and 2 z?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -217, -18 in decreasing order.\nAnswer: 5, -18, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.06 + -4. Let q = 0.04 + u. Is q > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5*p + 13. Let d(k) = 6*k - 21. Let l(u) = -4*d(u) - 5*v(u). What is l(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 377? (a) 1\/6 (b) 6 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11521 (base 6) to base 14\nAnswer: 89b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/2)\/((-1)\/(-4)). Solve 2*w - 10 = 3*v, -3*w + u*v + 4 = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-174)\/3)\/((-33)\/7293).\nAnswer: 2, 13, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -59 - -1c17a?\nAnswer: 1c121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 8:57 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3161 = 18264*v - 18373*v for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.04 (c) -0.2 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 12:37 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, e: 2}. What is prob of sequence wwwe?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 97347?\nAnswer: 97346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2677667*y**3 + 20199825 wrt y?\nAnswer: -8033001*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 11) in base 4?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -578, -1158, -1740, -2324?\n\"Answer: -k**2 - 577*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z. Suppose -3*s = s - 60. Suppose -3*k + 11*k = 112. Let m = s - k. Determine l(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 6:40 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 + 0*l**2 + l**2 + (5 - 5 - 3*l)*(-l - 2*l - 2*l).\nAnswer: 17*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 s, and 1 f when three letters picked without replacement from {h: 1, b: 6, s: 1, l: 1, o: 3, f: 5}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -2. Sort o, 2, -5 in decreasing order.\nAnswer: o, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(190)*-1)\/(sqrt(360) + sqrt(360)*3) + -5)*-3.\nAnswer: -sqrt(19)\/2 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*sqrt(252) - sqrt(252))**2*-2 - (-2*sqrt(21)\/sqrt(3)*2*-5)**2.\nAnswer: -2818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from msifhhfmhof. Give prob of picking 1 h, 1 f, 1 m, and 1 i.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d - d + 0*d + (0 + 0 - 1)*(1 + d - 1) + (31*d + 17*d + 15*d)*(-22 + 87 + 38)*(2 - 4 + 0) in the form a + q*d and give q.\nAnswer: -12984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 51 = -r + p, -r + 80 = 3*p. Suppose 11*f + 2*l + 317 = 16*f, -3*f = 3*l - 207. Suppose 2*x - r = f. What are the prime factors of x?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/18)\/(1\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**4 - 502*h**3 + 56137*h**2 + 1722864*h + 11778624 = 0. What is h?\nAnswer: -13, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 156392*p + 156392*p. Let j(y) = 59*y - 75*y + 108*y. Give j(r(b)).\nAnswer: -92*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -4 (c) 0.07 (d) -54 (e) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18 + 3)*((-6)\/9 + 1). Let c be o + (-3 - 1) + 0. Solve -1 - 2 = -n, c*b = -2*n - 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + 46 + -20 + -116 + -4 + -1?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -23. Let z(f) be the first derivative of -f**2 + 8*f + 1. List the prime factors of z(q).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 1:00 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = v + 3, 3*p + 8 = 4*v - 18. Suppose -t - 24 = -v*t. What is the units digit of (t\/(-8))\/((-1)\/12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21628 + 85869\/4. Which is smaller: s or -162?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2934196?\nAnswer: 2, 827, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1011?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 4734.305673 to the nearest ten.\nAnswer: 4730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 1865 + 317. Let m = a + -1203. What is the remainder when m\/(-12) - (-1)\/4 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1428463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9666 - 9652. Suppose -a + 0 = -2. Calculate the remainder when s is divided by (a\/4 + -1)*-10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 3*k**2 + 3*k - 3. Determine a(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3113 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) -17 (b) 0 (c) -2\/3 (d) 11 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**3\/2 + 211877*o**2\/2 + 11126477171*o\/2 - 10243735617305\/2 = 0.\nAnswer: -106391, 905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 6*s + 1. Let a be x(-3). Let i = a - 17. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*d + 11. Suppose d = 3*r + 4*r. Solve -2*q - r = -3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 e, and 1 i when four letters picked without replacement from {u: 2, e: 4, j: 1, i: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**2. Give s(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 26\/9*(-15)\/280. Let r = 2\/21 - s. Which is the closest to 0? (a) -2\/5 (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -135, 0, 1 in descending order.\nAnswer: 1, 0, -3, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2. Let f(l) = -30 - 23 + 119*l + 9 - 5. Let x(c) = 5*c - 2. Let i(n) = 2*f(n) - 49*x(n). Determine p(i(g)).\nAnswer: -49*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00329973 to 5 decimal places.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-78)\/40)*(-73)\/146.\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/17201 and -73\/4.\nAnswer: 68804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 430, -4, -2\/107?\nAnswer: 430","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 2, 2\/41, 3, -61, 5 in ascending order.\nAnswer: -61, -0.05, 2\/41, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 375*s - 36*s**2 + 599 + 352*s - 2*s**3 - 717*s with respect to s.\nAnswer: -6*s**2 - 72*s + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4*4439983708\/573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -20)\/(413\/(-118) - (0 + -3))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/28 - 22\/(-8). Suppose 2*k = c*s - 5*s + 12, -2*s + 18 = 3*k. Solve 0 = -5*u + 5, 4*z + u - k = 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + -3 + -1)**2*-6.\nAnswer: -1068 + 432*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/9)\/(4\/(-6)). Let w be (-1)\/(-5) + (476\/30)\/14. Let r = 8 + -3. Which is the biggest value? (a) s (b) w (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1\/11, 34, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2795 + -763. What is the highest common divisor of 127 and g?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 681221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 3 + sqrt(2736) + -1 + sqrt(2736))*2 + 2 + 2 + sqrt(2736) + -3 + -2)**2*5.\nAnswer: 1800*sqrt(19) + 342045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - -7473?\nAnswer: 7504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 0.4, -15\/7, 64, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 580719.9 years?\nAnswer: 580.7199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7240879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -411 - 517 = 158*v + 1600 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 10. Let k(h) = 9*h**3 - 9*h**2 + 8*h. Let j(i) = -8*i**3 + 8*i**2 - 7*i. Let w(o) = -7*j(o) - 6*k(o). Determine w(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (0 + 1)) + (1 - 8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -2\/7, 0.5, -31.7, 2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**4 - 3*q**4 + 2*q**4 + 0*q**4 + 0*q**4 + q**4 + (5 - 2 - 4)*(q**4 + 0*q**4 - 3*q**4) as n*q**3 + o*q**2 + k*q**4 + v*q + y and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z = -21*z - 8. Sort -2, z, 3, 72 in descending order.\nAnswer: 72, z, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -59, 3, 5, 167, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 227 - 217. Suppose f*x - 777 = 7*x - 3*p, -5*x = -5*p - 1275. What are the prime factors of x?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64\/2390417 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 9:35 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 13. Let x be r(13). Suppose j = -x*j + 82. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 - 32*y**3 + 3*y**2 + 64*y**3 - 152*y**3 - 505*y**3.\nAnswer: -625*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25337\/3570 - -1\/357. Let y(k) = 35*k + 10. Let j be y(-4). Find the common denominator of j\/(-12)*14\/35 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 + 2)*(2 + 1 - 1)*(-1 + 1 + 2)*(33*s - 31*s - 4*s**3 + 12*s**3) + s**2 + s**3 - s**2 in the form j*s + c*s**2 + u*s**3 + q and give u.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 124 in -1\/2, -2\/13, -137?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 - -15304505?\nAnswer: 15304523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61164 and 54368?\nAnswer: 489312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*a**3 + 3 - 3 + (a - 2*a + 3*a)*(0*a**2 + 0*a**2 - 2*a**2) + 2*a**3 - a**3 - 2*a**3)*(2 + 4 - 3).\nAnswer: 15*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + -0.3. Let x be -3*(-2 - -3) - 15. Let u be x\/(-72) + (-10)\/(-8). Which is the smallest value? (a) 0.2 (b) y (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.074 - 2642.\nAnswer: -2642.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/7 + -3\/77. Sort u, 1\/2, 2\/9.\nAnswer: u, 2\/9, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.4 and 10537.\nAnswer: 14751.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -136*h**2 + h - 179 wrt h.\nAnswer: -272*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6240 = -3*c + 27*c. Suppose 0 = 5*g - b - 1004 - c, g + 4*b = 236. What are the prime factors of g?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(24)\/sqrt(4) - -4*sqrt(96))\/(sqrt(20)\/(sqrt(10)*1) + (-4*sqrt(2)*-3 - sqrt(2))).\nAnswer: 11*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.63 + -0.13. Let d = -4 + w. Let g be (-10)\/(-16)*1\/(-5). Put d, 5, g in descending order.\nAnswer: 5, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 159722 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 5)*(-2 + 0 + 1)*(d + 0*d + 6 + 2) to r*d + s and give s.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2634, -5407, -8238, -11133, -14098?\nAnswer: -17139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**2\/7 + 5403*r\/7 - 5408\/7 = 0. Calculate r.\nAnswer: -5408\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12 - -13) + 30\/(-1). List the prime factors of 0 - 1 - 1*t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.096781 - 3220.19056.\nAnswer: -3221.287341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -305 (b) 3 (c) -0.4 (d) 1\/3 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7*i**2. Let y(x) = -x**2 - 71*x. Calculate y(c(s)).\nAnswer: -49*s**4 - 497*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*j + 4. Put -5, j, -3 in descending order.\nAnswer: j, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*m - 67, -m + 2*j = -j + 25. Let t = m - -22. Suppose -5*g - t*o = -2*o - 242, 4*g - 199 = o. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**5\/20 + 5*f**4\/24 + 2*f**2. Let s(h) = 3*h + 0*h - 19856*h**2 - 3*h + 19855*h**2. Determine m(s(w)).\nAnswer: 3*w**4 - 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (6 - 0) + (-1 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -941162052, -1882324105, -2823486158, -3764648211, -4705810264, -5646972317?\nAnswer: -6588134370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196945040 to the power of 1\/3, to the nearest integer?\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.5 - -0.5. Let g = 26 - 25.7. Which is the closest to -1? (a) -4 (b) g (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + 16 - (-36 + 0) - (-14 - 0).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*o - 14 = -112*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1004 + -1006. Let a = 2.62 + -1.62. What is the second smallest value in 2, a, c, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -35, -0.3, -0.0101?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 678 and 21009638?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62 and 99293?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 80 = 6. Let g = -32 + h. What is the remainder when g is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-3))**(-1\/27)*m**(-2\/3)\/(m\/(m\/(m\/(m\/m**(2\/9))))) assuming m is positive.\nAnswer: m**(-28\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41\/1694256 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**5 - 28*s**4 - 288*s**3 + 432*s**2 + 1728*s = 0 for s.\nAnswer: -6, -2, 0, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from {m: 8, k: 4, g: 8}?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (3 - ((4 - 7) + 2)) + 6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u. Let d(b) = 15*b + 15. Let n(g) = -d(g) - 18*j(g). Let f be n(6). Solve -k = -4*w, 3*w + 2 = k + f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 154 or 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4990, -9972, -14954, -19936, -24918?\n\"Answer: -4982*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2\/11 - 85112*w\/11 + 85114\/11 = 0 for w.\nAnswer: -42557, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -474\/13 - -11559\/286. Calculate the common denominator of r and 45\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 47616695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -p + 5, -3*p + 2*h = h - 15. Let s(g) = -g**3 + 5*g**2 + g - 3. Let r be s(p). Suppose r*z - 12 = 8. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -17*g**3 + 2*g + 2. Let b be y(-2). Let z(l) = 48*l - 1. Let m be z(-4). Let v = b + m. Round v to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 920, -3, 0, -1 in descending order.\nAnswer: 920, 0, -1, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 4*x - 12 - 4, 2*l + 20 = 5*x. Suppose l = -2*b + 1151 + 627. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-6)\/(-8))\/(522\/(-87))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.0796m to centimeters.\nAnswer: 507.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 326 and 125.\nAnswer: 40750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -15*m**3. Suppose -5*c - 10 = -5. Let k be x(c). Calculate the highest common divisor of 45 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 5*y**2 - 2*y - 1. Let d be s(-4). Let t(u) = 17*u + 2. Let z be t(-1). Let x = d - z. Solve -x*b = -2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (71 - 52 - (24 + 0)) - (-1 - 43)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwwwwwwcwwww. What is prob of picking 2 w and 1 c?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 6*s - z - 18, -s - s + 2*z = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*b = -115. What is the first derivative of 7*r - r - b - 20*r**3 - 6*r wrt r?\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5953 + 6001. Solve 24*x = -0*x + d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -2\/5, -0.56, -5\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 + -31. Let r = s + 2. Solve -v = -r*v - 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.06 (b) 1.9 (c) 3\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/1*(-4 - 833). Let z = y + 1173. Let a = 2348\/7 - z. Is a >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31507, -63007, -94505, -126001?\nAnswer: -157495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 849558 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q + 27*q - 18729364 = -30*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2986*t**2 + 0*t - 2*t + 2427*t**2 + 2*t - 1825*t**2.\nAnswer: 3588*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((3*sqrt(210))\/sqrt(10)*3)\/((sqrt(42)\/sqrt(32))\/sqrt(3)).\nAnswer: -5 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23 and 1180.\nAnswer: 27140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25625426 is divided by 214?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6747? (a) -0.03 (b) 1\/621 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 41 = 11*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 34\/2*(-11 - -3)\/40. Let w = 29\/10 + v. Let l = 0.5 - 3.5. Which is the third smallest value? (a) 4 (b) l (c) 0.05 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -141\/140 and -13\/60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28082\/24349 - 1\/1873. Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 939 - 943. Let w(h) = 4*h + 6. Determine w(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3313474679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -14*(-10)\/(-4)*1807\/(-65). Suppose 4*z = l - 459, -2*l + n = -9*z + 12*z. List the prime factors of l.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/300)\/((-2)\/(-5)). Let f = g + -4\/15. Suppose 8*u = 16*u + 8. Which is the biggest value? (a) -0.2 (b) f (c) -2 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*m = -2. Suppose m*t + 3*t + 15 = 0. Let v = -5 - 0. Sort v, 0, t in ascending order.\nAnswer: v, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 779 divide 55356519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*h**3 - 39*h**2 - 44*h = 0. What is h?\nAnswer: -4, -11\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -6*u**2 + 0*u - 1\/180*u**6 + 0*u**3 + 1\/315*u**7 + 0 + 0*u**4 + 0*u**5. Factor z(i).\nAnswer: 2*i**3*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (42\/4)\/((-36)\/112)*(-318)\/371\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (9 - 3) - 12 - -8 - 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1014 + 469 - 604 + o to q*o + g and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -5) + (-1 - (-1 + 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*b + 8. Let q be (6 + 2 - 1)*-7. Let i = -34 - q. What is the remainder when i is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/((y*(y\/(y**(-17)*y))\/y*y)\/y)))\/(y*y\/(y\/(((y*(y\/(y*y**(-4)))\/y)\/y)\/y)))*((y*y*y\/y**19*y)\/y)\/(y*(y\/y**(-5\/4)*y)\/y) assuming y is positive.\nAnswer: y**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -9*s**4 + 141*s**3 - 66*s**2 - 360*s = 0.\nAnswer: -4\/3, 0, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*s = -50, 0 = 4*g - 2*s + s - 44. Solve -3*q - 15 = -2*k, k + g = -2*q - 0*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j + 1. Let w(a) = 27*a + 7. Determine 5*q(b) - w(b).\nAnswer: -7*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*q = 172*q - 228*q - 261*q - 46870 for q.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -404*u + 322. What is the remainder when v(-3) is divided by 508?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -118, -192, -276, -370, -474, -588?\nAnswer: -712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -2*i + 5*i + 36, -2*a - i = -9 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 3 = 2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (63 + -4 - 4) + -9. Which is smaller: w or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/25 (b) -0.5 (c) -3\/4 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 8*l**2 + 4*l - 14. Let s be 6 - 0 - (18 + -34 + 16). Give m(s).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*n + 25 = 0. Is n 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 2217?\nAnswer: 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-19593)\/(-933))\/((-770)\/20)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -73794? (a) -4 (b) 0.051 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4*u + 10101 = -5*v, 0 = -u + 4. Let p = v - -3087. Suppose -2*r - 310 = -3*z + 489, 5*r + p = 4*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01300274 to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.3*40320.\nAnswer: -92736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.8 (b) -0.05 (c) 3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21954202 by -32573.\nAnswer: -674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 307 = -5*r, -2*r - 508 = -3*o - 0*r. Let z be (-13)\/(-39) + o\/6. Calculate the highest common factor of 56 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -514 + 527. Suppose 2163 = -y*o - 1724. Which is smaller: -297 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**3 + s. Let z be v(-1). Let w = z + 6. Suppose 2*y - 117 = -f, -4*f - w*y + 144 + 314 = 0. What are the prime factors of f?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -36*m**2 - m + 1. Calculate u(1).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 435906840 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -393 - -393.2. Which is the second smallest value? (a) q (b) 5 (c) 3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 204 and 577456.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 13*w + 6. Suppose -t - 65 = 4*t. Let c = t - -19. Let s be b(c). Calculate the highest common divisor of s and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3015, 4531, 7103, 10767, 15559, 21515?\nAnswer: 28671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -21. Let n be (-22)\/55 + (-194)\/l. Suppose 0 = -n*t + 20*t - 52. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47442*u**2 + 2*u - 75080?\nAnswer: 94884*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eqqeeeyyeeeqy. What is prob of sequence yqyy?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -135*a. Let b(m) = -19*m. Let i(u) = -76 + 156 - 80 + 6*u. Let t(v) = 3*b(v) + 10*i(v). What is p(t(k))?\nAnswer: -405*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 3*a + 23 = 0, -92*q - 2*a - 148 = -222 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 114937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1, 2\/7, 3\/7, 115, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-6))\/((-438)\/(-3)). Put -0.2, 2, t in descending order.\nAnswer: 2, t, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/19? (a) -1\/14 (b) -2\/19 (c) -406 (d) -2\/3 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.36 in 20\/7, 4, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + (((sqrt(272)*-3 - sqrt(272))*3)**2 - (sqrt(17) + 2*sqrt(17)*5 - (sqrt(102)\/(sqrt(12)\/sqrt(2) + sqrt(6)) - sqrt(17))**2)).\nAnswer: -11*sqrt(17) + 156685\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + n**2 - 1. Let k(j) be the first derivative of -15*j**4\/4 - 2*j**3\/3 + 2*j + 5458. What is 3*k(b) + 6*l(b)?\nAnswer: -51*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 + 18*x**3 - 6 + 3.\nAnswer: 18*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292318623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2 (b) -2\/625 (c) -53\/5 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 921*i**2 + 2*i. Let o(n) = 5*n. Let t(u) = -24*u. Let y(v) = -29*o(v) - 6*t(v). What is y(k(h))?\nAnswer: -921*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**4 - 48*q**3 + 432*q**2 + 15552*q + 69984 = 0. What is q?\nAnswer: -18, -6, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 346084495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/56*2058\/1176.\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**6\/120 - u**5\/10 + u**4\/6 - u**3\/3 + u**2. Let w be y(6). Factor 4*i**4 - w*i**3 + 20*i**3 - i**5 - i**4.\nAnswer: -i**3*(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, h: 1, i: 6}. Give prob of picking 1 k, 2 i, and 1 h.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 - -26. Let g be 1\/(2 + i\/10). Sort -2, -7, g in ascending order.\nAnswer: -7, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 - (-18)\/12)\/((-15)\/556790)?\nAnswer: 13, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44059.\nAnswer: 44059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14 + (2 + -2 - -2). Let k(f) = -3*f**3 + f. Let z be k(-1). Let g = z + -2. Solve -a + 2*m + 8 = g, 0 = 5*a - m - m - i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28500 and 375250.\nAnswer: 2251500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1513731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -13.5. Let x = v + -18. Let w = 7\/30 - -1\/10. What is the closest to w in x, -0.5, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1600, 1012, -1754, -6698, -13820, -23120, -34598?\n\"Answer: -1089*b**2 + 2679*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 56904705 in 5, -0.2, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 7246.1502 and 0.21.\nAnswer: 7246.3602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27.218 - 49.018. Is -5 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1417 - -5305. Suppose 0 = 4*h - 3*m - 5601, -3*h + x + 304 = -4*m. What are the prime factors of h?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/45*1515\/(-6). Find the second derivative of 37*v + 63*v**5 + 86*v**5 - 6*v**5 + a*v - 3*v**5 wrt v.\nAnswer: 2800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 258*g**2*p*q - 34*g**2*p - 220*g**2*q - 266*g*p*q + g*p + 3*g*q - 507*p*q - 4*q wrt g?\nAnswer: 516*p*q - 68*p - 440*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 8 = -4*b, -6 = b + 5*u + 15. Let g(y) = -17*y**3 + y. What is the tens digit of g(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -7*j - 128779008, 2*s + 55191004 = -290*j + 287*j. What is j rounded to the nearest 100000?\nAnswer: -18400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89982 or -89984?\nAnswer: -89984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 155779 divided by -108\nAnswer: -155779\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**6\/180 - 2*m**3 - 3*m + 8. Let y(t) be the second derivative of x(t). Let j(h) = 8*h - 2. Calculate y(j(p)).\nAnswer: 128*p**2 - 64*p + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 2\/13, 0.03, -4, 2, 85\/83?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 4*r**3\/3 + r. Let h(g) = -27*g**2 - 31*g**2 + 55*g**2. Determine h(j(i)).\nAnswer: -192*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + 18. Let n = 4.3871 - 5.3871. What is the third smallest value in n, h, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**6\/120 - 2*r**5\/15 - r**4\/8 + 5*r**3\/2 - 15*r**2 + 3*r. Let m(l) be the first derivative of b(l). Is 23 a factor of m(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 197439?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**2*y**2 - 42*c**2*y - 6*c**2 + 86*y**2 wrt y?\nAnswer: -6*c**2 + 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + -16. Let i = 23 - v. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -z - 10, -3*n - 2 = z - 8. Suppose -88*g + 862 = d - 93*g, 0 = d + 2*g - 827. Suppose z = 3*q + f - 814, d = 3*q - 3*f + 27. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-2) - (2 - -2)\/(-2). Let s be 25\/(-6) - (-1)\/c. Let v(u) = 3*u**3 - 5*u**3 + u**3 - 4*u**2 - 5. Determine v(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) -3 (c) -2516 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1289990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 237 - 227. Calculate the highest common divisor of 20 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77633, 77680, 77749, 77834, 77929?\nAnswer: 78028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -11*c**3 + c**2 + c. Let d be 4\/22 + 634\/22. Suppose -4*r = -5*q + d, -q + 11 = -4*r + 2. What is the units digit of k(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8341?\nAnswer: 19, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (110\/15)\/(18\/198*44\/3).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14963 - -14978. What is the greatest common divisor of g and 20715?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 3*m - 108 = -i - 125, 11*m = 11 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248 + -271 + 357\/15.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -2 + (0 - (-9 + 6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.39616 rounded to two decimal places?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000433001 to six dps.\nAnswer: 0.000433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 213 + 6642. Is 45 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 14*f - 9. Let l be h(13). Suppose 2*t = -l*x - x + 13, x = 3*t + 6. Solve 0 = -x*i + 4*i + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -189*b*i*r + 594*b*i - 4*b*r + 365758*b + 30*i*r - 258*r - 2 wrt r?\nAnswer: -189*b*i - 4*b + 30*i - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 + 4 + 3 + 0\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -152.37, -5, -2\/7, 0.1?\nAnswer: -152.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 + s**4 - s**3 - 2*s + (-3*s**2 - 2*s**2 + 3*s**2)*(2 - 3*s**2 - 2).\nAnswer: 7*s**4 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 6*z**2 - 11*z - 34. Let g be r(-3). Let q = -37 + g. What is the remainder when q is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((4 + sqrt(57)\/sqrt(3))*-5 + sqrt(19)*-3*1*-4)**2.\nAnswer: -840*sqrt(19) + 3993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79\/3 + -307\/12. Let l = -2.2 - -2.4. What is the closest to z in -1, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**2. Let w(q) = 9*q**2 - 2 + 2 + 21*q**2. Give w(s(c)).\nAnswer: 270*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43623 and 66489.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*4)\/((-108)\/324*12\/4).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -181 - -187. Suppose -4*b + 0*b = -i*b. Let d = 8\/45 + -229\/1035. Which is smaller: b or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00027809971 to 5 decimal places.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2\/(-3)*(11 - 41)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -285 + 1705\/6. Let z be (-1 + 2)*2*-1. Which is greater: c or z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75411)\/(-11907)*1*-9.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*k - 6*k. Let v(t) be the second derivative of 0*t**3 + 1\/12*t**4 - 5*t + 0 + k*t**2. Determine m so that v(m) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -12 - 12. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011992359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131454386?\nAnswer: 2, 7, 1049, 8951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 15*c**2\/2 - 9*c + 9. Let s(k) = -4*k + 2. What is -2*i(w) - 9*s(w)?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g. Let x(m) = -2*m. Let w = -68 - 8. Suppose 62*c + 385 = 57*c. Let r = w - c. Give r*x(l) - t(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -712\/49 <= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + -3 - 1 - (-136)\/32. Do a and 1\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2109465*k + 4222866*k - 2109985*k.\nAnswer: 3416*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**4 - 1373*h**2*v + 3171*v with respect to h.\nAnswer: -8*h**3 - 2746*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 24*j - 663. What is k(16)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 10. Is 4 a factor of 17 + (-1)\/(2 + b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**6\/120 + 3*b**5\/20 + b**4\/12 - b**2. Let h be (-3)\/(12\/(-7))*-4. What is the units digit of r(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 440\/(-30) - (-2)\/3. Let a be ((-2)\/15)\/(o\/(-140)). Let c be (-3)\/2*8\/54. Sort a, c, 3\/8 in increasing order.\nAnswer: a, c, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-110) + (-24)\/110)*(-136)\/16\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 11*f + 5*f - 32.\nAnswer: 16*f - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, 1\/2, -4, 1\/7, -0.163 in descending order.\nAnswer: 1\/2, 1\/7, -0.163, -1.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 + 834*s + 398168.\nAnswer: -2*(s - 701)*(s + 284)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 12*y - 55. Give l(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 24063700 to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.001 in -2\/9, 0.05, 3, 2\/21?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**2 - 1024*h + 1028 = 0 for h.\nAnswer: -257, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 182\/5, -1133, 1\/10, 0, 6\/17?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 21*l + 1. Let o(x) = 51*x - 1. Give o(j(t)).\nAnswer: 1071*t + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10094)\/(-3090) + 4\/10)*-3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g - 15*g - 8*g + 8*g.\nAnswer: -19*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2402723, -4805449, -7208175, -9610901, -12013627?\nAnswer: -14416353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*sqrt(567))**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-275)*-5*115\/(-92)*(-1)\/8?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2036*m + 3058*m - 993*m.\nAnswer: 29*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 36986 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 19*c**2 + c + 1. Suppose 41*u + u = 329 + 553. Calculate the remainder when q(-2) is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szjszjsozzzxsjxs. What is prob of sequence xsj?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1527312 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 105348186 or 105348184?\nAnswer: 105348186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 104 + 1202224?\nAnswer: 1202331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 165640.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1008\/56*3\/45*(-15)\/(-51)\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (4*sqrt(117) + sqrt(117)))*-6)\/(3*3*sqrt(9)).\nAnswer: 8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b39 (base 14) in base 15?\nAnswer: -315e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**2 + 2*y + 2*y - 4*y + y as i + s*y + g*y**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16124 - 65351?\nAnswer: -114505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 86 - 597\/7. Let t = -5691 + 34039\/6. Calculate the common denominator of t and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v + 13*v**2 - 3*v - 5*v**2 in the form i*v**2 + r + f*v and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*m**3 + 13172*m - 13172*m.\nAnswer: -46*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -p + 20, -5*p + 2*k + 4 = -24. Let y be 4\/(-10) - 14008\/5. What is the tens digit of y\/(-90) - p\/30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-1) - (-5 - (-198)\/28). Let p = -37\/28 - n. What is the nearest to -0.2 in -3, p, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2\/(k\/((k\/k**(1\/2))\/k)))**(-47) assuming k is positive.\nAnswer: k**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*l = -15797, -4*l + 884 + 2261 = n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -3312 (b) 2\/7 (c) -96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341 = -7*f - 5*i, 0 = -2*i - 1 - 11. Which is the second smallest value? (a) -0.4 (b) -1\/3 (c) f (d) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 42 (b) 0.5 (c) -1 (d) -1\/2 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, -1, -60, 4, 2 in decreasing order.\nAnswer: 4, 2, 1, -1, -6, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3111979 or 3111956?\nAnswer: 3111979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -207 + 240. What is the remainder when k is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**5\/12 - 469*k**3\/3 - 77*k**2. Let g(o) = -o**2 + 235. Let z(h) = 2*f(h) + 9*g(h). Differentiate z(x) with respect to x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87 - 87. Is -1\/12 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2468109 is divided by 617027.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i - 11. Give a(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-23094)\/10 - (-183)\/(-305). Is 6 a factor of -1 - (-8)\/((-48)\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-3 + (2 - 4\/8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 1 - 4 - 5, -b + 3*s = -0*b - 0*s for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 159, 364, 651, 1020, 1471?\nAnswer: 2004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**5\/60 - 17*g**4\/24 - 35*g**3\/3 + 711*g**2. Calculate r(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/4 - (-78)\/12. Suppose 0*j - o + 34 = w*j, 3*j - 17 = -4*o. Suppose 4*r - 2*z + 2 = -j*z, 6 = -r - 4*z. Let x(s) = -s**2 - s + 2. Determine x(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f - 12. Let y be t(5). Let d be 6\/y - (-117)\/132. Is 2 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22585*y**4 - 771894*y wrt y?\nAnswer: -271020*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 + z + 2. Let p be b(2). Let h = -9 - -12. Let l(j) = 5*j + 5 - 6*j - h*j. Let o(s) = 3*s - 4. Give p*l(a) - 5*o(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r - 1. Let i(q) = -271*q**3 - q**2 - 3*q - 64. Let g(y) = d(y) + i(y). Let l(c) = c**2 + c - 2. Let u(x) = -g(x) - l(x). Differentiate u(k) wrt k.\nAnswer: 813*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 791902 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.623519l in millilitres?\nAnswer: 3623.519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 13 = 3*m, -m + 0*x = x - 7. Suppose 0 = -a, 3*i + m*a - 6 = 168. Sort -4, i, 1 in decreasing order.\nAnswer: i, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58638023 to the power of 1\/3, to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + -1 - ((-510)\/340)\/((-6)\/(-64924)).\nAnswer: 16231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) 0.3 (c) 33\/4 (d) 4 (e) -4 (f) -5 (g) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 57 = 3*d, 2*i + 30 = -44*d + 42*d. Let q(u) = -6*u - 18 - u**3 - u - 12*u**2 - 7*u. Is q(i) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/5 + 7641788*p\/5 - 7641786\/5.\nAnswer: -2*(p - 3820893)*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 2*j**3\/3 + j**2\/2 + 10*j. Let a(n) = -n**2 + 8*n - 9. Let h be a(7). Give s(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) 9 (c) -225\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**5\/60 - l**4\/8 + 2*l**3\/3 + 16*l**2. What is b(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 7*i**3 + 164*i**2 + 758*i - 93. What is d(-17)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-810)\/(-6) - -5)*1. Calculate the highest common factor of o and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.2242 times 3\nAnswer: 30.6726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -6 (b) -16 (c) -0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 21. Let r(v) = 2*v**2 + 3*v + 2. Let k be r(f). Is -9 + k - -2 - -86 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38436422 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (6 + -2)) + -15 + 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, p: 1, j: 2, a: 1, o: 1, x: 1}. Give prob of sequence paj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -14. Let w be (4\/6)\/((-4)\/(-246)). Suppose -w = -j*r + 5. Calculate the remainder when r is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445326 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**5\/20 + 5*h**4\/12 + 2*h**3\/3 + 10*h**2 + 55*h. Let b be i(-5). Solve -p + 1 + 1 = b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 7000913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*h - 1702588 = -1701860 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-5*(sqrt(128) + -2 + sqrt(128)) - (-2 + sqrt(128) + 5)) + -5)*-5*-3)**2.\nAnswer: -2851200*sqrt(2) + 125485200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, p: 7, i: 2, z: 7}. What is prob of picking 1 z, 2 o, and 1 i?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/(-174)*4\/((-4)\/(-3)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 71111983, 71111982, 71111981, 71111980, 71111979, 71111978?\n\"Answer: -b + 71111984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 2*m. Let n be p(2). Suppose 4 = 4*t + 2*g - n*g, -2*t - 3*g + 6 = 0. Factor t*z**2 + 2\/3*z**3 - 4\/3 - 2*z.\nAnswer: 2*(z - 2)*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -197?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 75 + 537 = 0. Let y = -41 - v. Let l = y + 3. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(-2)*186\/217*(-91)\/(-390).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14499*u**6 + u**3 + 5*u**2 - 2*u + 13077.\nAnswer: 1739880*u**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 12:13 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-7)*4\/10)\/(9\/42).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -83*j**3 - 4*j + 79*j**3 - 6*j. Let k = 20 + -15. Let x(h) = 2*h - 5*h - 3*h**3 - 4*h. Calculate k*a(g) - 7*x(g).\nAnswer: g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/9)\/((-20)\/6)*(-15)\/35?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2290, -4660, -7034, -9412?\nAnswer: -11794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89 + -78. Let q = -143 + u. Let c = 198 + q. Is 33 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10455 and 642600.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 bigger than 158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 184*-6076\nAnswer: -1117984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 y when two letters picked without replacement from yvyeyvvy.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*g**2 - 14*g - 51*g**2 - 6*g**3 + 6 + 3*g**3 + 0*g**2 to the form k*g**3 + s*g + f*g**2 + w and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295*v**2 + v**3 + 938*v**2 - 1233*v**2.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-78 - -56) + -6 + (1 - -6)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.4 times 1271?\nAnswer: -83123.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17122, -34243, -51364?\n\"Answer: -17121*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -82909450.467 - 42.6?\nAnswer: -82909493.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**3 + 32*x**2 + 266*x + 14. Calculate the least common multiple of h(-6) and 1258.\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -151, -136, -99, -28, 89, 264, 509, 836?\n\"Answer: 2*s**3 - s**2 + 4*s - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2959)\/1345 + (-40146)\/20. Is z at most -2010?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15293 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12268 - -269941\/22. Calculate the common denominator of y and -101\/42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 8:10 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8.087483 + 20.381\nAnswer: 28.468483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.808000443 + -1.808. Round n to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*a - 157, -5*a + 253 = 5*s - s. Let l be 23\/3 - 2\/3. Calculate the greatest common factor of a and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 4557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 8*n**2 - 56*n - 329. Let h be f(-5). Solve -2*c - 5*q = -h, 6*q = 5*c + 4*q - 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1185089*t**2 - 26*t - 456925549 wrt t?\nAnswer: -2370178*t - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 177757.907 to the nearest one thousand.\nAnswer: 178000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.8? (a) -6 (b) 0 (c) 1701 (d) -0.3 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p**(1\/5)*p*p)*p**(-9)\/p)\/(p*p\/((p*p\/p**(-3))\/p*p)*p**(-2\/23)\/p) assuming p is positive.\nAnswer: p**(-703\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -f. Suppose f = -4*n - 80 + 60. Which is the second biggest value? (a) 2\/15 (b) 11\/4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -324382*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -7*f**3 + 90*f**2 - 3*f + 15. Let o(u) = -16*u**3 + 181*u**2 - 7*u + 35. What is 7*j(q) - 3*o(q)?\nAnswer: -q**3 + 87*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 7*o**2 - 29*o + 199. Give n(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*h = 2786 - 2674 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.04 + -17. Let i = -0.06 - n. Which is the third biggest value? (a) i (b) -4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + s**2 - 6. Let u be c(2). Suppose -u*g = -4*g - 8. Suppose -2*a - g*i = -7*a + 316, a - 69 = -5*i. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -4*s**4\/7 - 40*s**3\/7 + 1104*s**2\/7 - 296*s + 1012\/7 = 0.\nAnswer: -23, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in sixty-nine halves of a microsecond?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 - 3*v + 4. Calculate the smallest common multiple of b(4) and -5*(-4 + (0 - 0)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 350*x + 386 = -358*x, -n - 3*x - 143 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5296118?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -54100 (base 6) in base 7?\nAnswer: -30342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/(130\/(-455))*3*-1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -259 less than or equal to -252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 10:27 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1128 is divided by 160.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 + 57. Factor 6\/5*n**3 - 3\/5*n**4 + 0 + a*n - 3\/5*n**2.\nAnswer: -3*n**2*(n - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32364 bigger than -32350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-320)\/24)\/(264\/(-99))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -107.5 + 118. Let u = w - 11. Sort -2\/7, -2\/5, u, -2.1 in decreasing order.\nAnswer: -2\/7, -2\/5, u, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/3 in -2\/13, -1589, 5, -0.6, 2\/63?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 11. Let w = 254 + -254. Suppose 18 = 4*h - t, 5*t - 10 = -0*t. Which is the nearest to w? (a) q (b) 2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -2 - 4\/(-10). Let w = 0 - 0. What is the nearest to 0.1 in z, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2. Let g(s) = -2*s - 5468. What is l(g(x))?\nAnswer: -8*x**2 - 43744*x - 59798048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2281 = 5*h + 781. What are the prime factors of h\/(33\/12 - 2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + sqrt(17)) + -3 + sqrt(17)*3 + ((sqrt(1377) - -4*sqrt(1377))**2 - ((-5*sqrt(68))\/sqrt(4) - sqrt(17))).\nAnswer: 13*sqrt(17) + 34434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u + 3*u**2 - 8 + u**4 - 5*u**2 - 5*u**3 - 33 + 44 to b*u**2 + d*u + n*u**4 + t + l*u**3 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 174 and 14853558.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**5\/30 + 35*j**4\/24 - 17*j**3\/6 - j**2 + 15. Let n be r(17). Solve -3*s + 7*s + 20 = n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 304 = t. Suppose -r = 5*c - 6*r - 135, -3*c - 2*r + t = 0. What is the remainder when 13 is divided by 8\/6 - c\/(-39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vlvzvvlvvzlzv. What is prob of sequence zlvz?\nAnswer: 21\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 17 - 1\/2*i**2 - 3*i. Let j be y(-4). Which is the biggest value? (a) j (b) 4 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40000510 rounded to the nearest 1000000?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 23 - 5*k**3 - 76 + 30.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*z - 2*z. Suppose 2*s = -2*f - 0*f - 6, 3*f + 17 = -5*s. Let b be -3 + -2*(f\/(-2) - -1). Put b, z, 0 in descending order.\nAnswer: 0, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13124548207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x**1*x)*x)\/x)\/x)\/x**2)**(9\/11) assuming x is positive.\nAnswer: x**(-36\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*d - a - 20, -d + 15 = 3*a. Let j(w) = -w. Let i be j(0). Is d greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 1166.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4802 + 1278. Let h = -3523.99996038 - v. Round h to six decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 43414 and 21707.\nAnswer: 43414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -87012 - 6731?\nAnswer: -93743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00189 to four decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 5:51 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2664.9 rounded to the nearest ten?\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9 from 79.856453.\nAnswer: 88.856453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 9, 5*b - 11 = -a + 2*b. Suppose -5 - 3 = -a*z. Let o be 10\/z + (-9)\/6. Solve -i + 6 - o = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*q = -9, -4*m - 25 + 6 = -5*q. Let g(b) = -23*b - 1. What is g(m)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368*f - 160*f - 185*f - 122*f.\nAnswer: -99*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a micrometer in nanometers?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((p + 2*p - p)*(1 + 4 - 4) + p + 3*p - 3*p)*(-4 + 0 + 25) as v*p + d and give v.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209916 is divided by 69948.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (924 + (-4 - -4)). Let f = 1618 + q. List the prime factors of f.\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-seven quarters of a day?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/2))**33\/(q**1*q*q)**(3\/5))**(-9) assuming q is positive.\nAnswer: q**(1647\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -19, -2\/13, 268.\nAnswer: -19, -3, -2\/13, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*v**2 + 44 - 55 - 2*v**2 - 3*v**3 - 5*v**3.\nAnswer: -8*v**3 - 100*v**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13355404?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1710, 2977, 4244, 5511, 6778, 8045?\nAnswer: 9312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-19)\/(-57))\/((-2)\/(-98)) and 101\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + -2*sqrt(80) + sqrt(80))\/sqrt(10)*-1 + -4)**2 + ((sqrt(8)\/(sqrt(12)\/sqrt(3) - sqrt(4) - sqrt(4)) + -4)**2 - -3*(sqrt(2) - sqrt(32))*3).\nAnswer: -19*sqrt(2) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 13. Let w be n(10). Let c be 4\/w*3 - -9. Suppose c*q + l - 11 = 4, -4*l + 28 = 4*q. Calculate the lowest common multiple of q and 57.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609839 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: Let r = -3.928 - 0.072. Let n be 9\/(-6)*16\/(-6). What is the biggest value in 0.4, -9, r, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-20))\/((-12)\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*u - 2*w + 60, 2*w = -39*u + 36*u + 42 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g = 61*g + 5*g - 2068. Suppose -5*q + 4*k = -361, 3*k = -4*q - k + 260. Calculate the remainder when q is divided by g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-116)\/6*12\/((-24)\/6). Let n = 60 - i. Solve -4*h - 12 = 0, -n*h = -0*p + 3*p - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/21 and -71\/7227.\nAnswer: 50589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -42, -4, -5 in ascending order.\nAnswer: -42, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 62415251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v**2 - 451*v - 7031. Determine n(-14).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 444, 1498, 2552, 3606?\nAnswer: 4660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m + 4. Let x(d) = -12*d + 15. Let u(y) = 9*b(y) - 2*x(y). Let c(a) = 5*a - 11. Let r be (-9)\/15 + (-388)\/20. Let j = 24 + r. Give j*c(i) + 7*u(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3135696 to the nearest integer?\nAnswer: 1771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 240683879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = b + 12, -4*b + 2*r + 20 = 14 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -25*b - 2*b**2 + 7*b + 20 - 9*b. Let p(d) = -2*d**2 + 4. Let c be p(3). What is the least common multiple of 22 and y(c)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 195091 from -149991658.\nAnswer: -150186749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 9:00 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1888 and 3303056.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2627955 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 2)*(7 - 55 + 13)*(-16 + 3*q + 16) to k + j*q and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12596 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -84188492\/7 - -470781939331\/39144. Let n = i - 8\/233. What is the common denominator of n and -49\/33?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**2 + 3*n - 2. Let s(r) = 2*r**2 + r - 1. Let t = -242 - -243. Let z be (100 + -95)\/(t\/((-2)\/(-5))). Determine z*l(j) - 5*s(j).\nAnswer: -4*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 plus 119537?\nAnswer: 119957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -252*h**3\/5 - 13385733*h**2\/5 - 177755721858*h\/5 + 2116141443\/5 = 0.\nAnswer: -26559, 1\/84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6*y - 10. Calculate p(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**2 + 842671984*y + 44381004538656016 = 0. What is y?\nAnswer: -105333998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5754814.\nAnswer: 2, 13, 211, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207368 + 24991*h + 24996*h - 49989*h.\nAnswer: -2*h + 207368","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t - 18 = 8 - 206 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13429, 53785, 121045, 215209?\nAnswer: 336277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 + -23 + 24 - 62) + 13.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002267036 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -22. Let v = 20 + y. Which is greater: v or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -50, -315, -1034, -2435, -4746, -8195, -13010, -19419?\n\"Answer: -38*t**3 + t**2 - 2*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -39. Let y = -21 + j. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - (sqrt(204) + sqrt(204) + 1*sqrt(204)*1)) + sqrt(204))\/(sqrt(12) - (sqrt(12) - -5*sqrt(24)\/sqrt(2))).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -17 + 13. Suppose 2*q - 822 = 4*d, -j*q + 3*d = -3*q + 401. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 118 (b) -17 (c) 4\/7 (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41453*d**2*m - 7*d*m + 15*m + 30 wrt d.\nAnswer: -82906*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-84)*-15*(-10)\/25.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 553 - 4?\nAnswer: 54f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 5:18 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3660 is divided by 1028.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46164?\nAnswer: 2, 3, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2. Suppose 12*c - 8 - 16 = 0. Let l(y) = -153*y + 153*y - 41*y**c. What is m(l(r))?\nAnswer: -3362*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 605.0433 centuries in months?\nAnswer: 726051.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (775\/(-310)*1\/(-15))\/((-3)\/(-2)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8960\/(-1200))\/(72\/90).\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 180 - 23. Suppose -5*t = -5*q + q + v, 3*q = 5*t + 119. Is 22 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + -6 + 30 + 32 + -92?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 31*u**2 + 63*u + 110. What is z(33)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*b - 37*b + 2 - 2.\nAnswer: -77*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 138 in 1\/20, -3, 5, 1\/4, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/sqrt(3) + sqrt(3) + sqrt(3) + 2 + sqrt(3) + (sqrt(30)\/(sqrt(30)\/sqrt(3)))**2 - (-2 + sqrt(300))*-2.\nAnswer: 1 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, 3.173, -2.8, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 621 less than or equal to 606?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.28, -0.1, 0, -1\/8, -12 in decreasing order.\nAnswer: 0, -0.1, -1\/8, -0.28, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmmbbgmmmgmqmgm. What is prob of sequence mqm?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 794b (base 16) in base 10?\nAnswer: 31051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(19) + -2*sqrt(19) + 0.\nAnswer: -sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 9*h**3 + 53*h**2 - 6*h - 6. Let o be a(-6). Let k be 2\/((-296)\/(-48) + o). Solve -3*d + n = k, -6*d - 31 = -d + 2*n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, x: 2}. What is prob of picking 4 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**4\/8 - i**2. Let l be (-2)\/10 - 112\/(-35). Let j(g) = -9 + g + 6 + l. Calculate 2*j(z) + t(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 26\/39*(-18)\/28\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -10.8.\nAnswer: -75.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 11.3, -3.7, -0.3, -4 in increasing order.\nAnswer: -4, -3.7, -0.3, 2, 11.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 278901 divided by -89\nAnswer: -278901\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618549573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 985632*r**3 - 4*r**2 - 4*r + 12. Let j be a(4). Suppose j + 41699620 = -26*w. What is w rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 165028 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 0*s - 7\/30*s**6 - 51*s**2 + 0*s**5 + 0*s**4 + 101\/6*s**3 + 0. What is the first derivative of c(a) wrt a?\nAnswer: -84*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/25 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 2:04 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 4*s + 0*s + (-28 + 17*s + 28)*(-3 - 1 + 1) + (2 - 1 + 1)*(5 - 5 + s) + 12 + 2*s - s - 2.\nAnswer: -46*s + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 26\/(-6) - (-8)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**4\/12 + 5*u**3\/2 - 5*u**2\/2 + 52*u. Let k be d(11). Solve -2*m - 8 = -5*x - k, 0 = x + 2*m - 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 387081992 and 8536.\nAnswer: 387081992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**11*b**12*(b**(2\/9)\/b)**50 assuming b is positive.\nAnswer: b**(-332\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -189 (b) 2 (c) -0.3 (d) 0.1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m - 9. Let d(a) = 14*a - 24. Let k(j) = -3*d(j) + 8*q(j). Let s(r) = -407*r**2. What is k(s(p))?\nAnswer: 814*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 5 = a - 0*a, 24 = -575*o + 572*o - 4*a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/6)\/((-48)\/(-216)). Put 1, m, -15 in ascending order.\nAnswer: -15, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9396*t**2 - 1078*t**2 - 2840*t**2.\nAnswer: -13314*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389932688 a multiple of 6536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 a, and 1 j when four letters picked without replacement from zaazjzjzqw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((42\/(-40))\/(-7))\/(9129\/68). Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21893813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {c: 3, g: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-25) + (0 - (-24)\/15). Solve -15 = 5*m + j*t - 2, -4*t = 4*m + 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(6*(sqrt(6) + sqrt(150)) + sqrt(6)).\nAnswer: sqrt(3)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153642 and 3567.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 = 557*w + 130*w - 1542 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (62 - -2)*(-2)\/(-4). Let m = 48 - z. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2. Let w be -5*(-5)\/(-200) - 191\/8. Let n(f) = 12*f. Let a be (-2)\/7 + (-27)\/(-21). Let u(z) = z. Let c(x) = a*n(x) + w*u(x). Give c(g(m)).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**3 + s**2 + 2*s + 6. Let x(c) = -2*c**3 + c**2 + 3*c + 6. Determine -4*p(l) + 3*x(l).\nAnswer: 2*l**3 - l**2 + l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3594360 divided by 1?\nAnswer: 3594360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9090 and 330.\nAnswer: 99990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/7 + (-525)\/(-147). Solve x = 2*o - 2, -5*o = -c*x - 2*o - 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7709781.98 - -21\nAnswer: -7709760.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 4:20 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11165 and 108955?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-1 + 4 + (2 - 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2672297 is divided by 39885.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 8, h: 5}. What is prob of sequence heh?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 9:19 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659086?\nAnswer: 2, 157, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) -10 (b) 1.49 (c) -0.09 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 160 and -1.099?\nAnswer: -175.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 122472\/8505*15\/18.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2070, -2065, -2060, -2055, -2050, -2045?\nAnswer: -2040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 4, -1.25004, 5?\nAnswer: -1.25004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 12:18 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + (-6*-6*(4*(sqrt(931) + 2*sqrt(931)) + (sqrt(931) + -1)*-4))**2).\nAnswer: -77241600 - 580608*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -8. Solve g - t = -0*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/((-210)\/(-90)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -99 times 2.0591\nAnswer: -203.8509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 - 3*c**2 + 0*c**2)*(6*c - 5*c - 4*c) + (-1 + 3 - 1)*(0*c**3 - 4*c**3 + 6*c**3).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -2 - (-30 + -13 + 13 + (-7 - -1)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((189\/14)\/(-9))\/(23\/(-23))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1064 and 18872.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 33*y - 56. What are the prime factors of m(6)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 200*m**4 - 3*m**3 + 463*m**2 wrt m.\nAnswer: 4800*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w + 9*w + 7181 = 159*w. What is the remainder when 3868 is divided by w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -422535186 divided by 3706449.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*f + 10 = 0, 0 = j + 4*j - 4*f - 12. Suppose -3*h - 7 + 26 = -5*k, -20 = -4*h + j*k. Differentiate 11 - 4 - w**h + 0*w**3 + 0*w**3 wrt w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/3*1\/(28\/(-6)). Solve 4\/7 - 2\/7*a**2 + m*a = 0 for a.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 w when four letters picked without replacement from hqrrhhwrrrsrrrrrhww?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 4:09 PM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -11*8\/1. Let k = -82 - o. Is k > 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59629131179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -479904850 divided by -95\nAnswer: 5051630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 38. Let y = 4 + q. Let i = y - 3. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**2 + 5. What is r(3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/9, -362, -0.1, 759?\nAnswer: 759","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 286*d**2 + 12*d - 17. Let x(i) = -4*i + 18. Let l be x(4). Is n(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 9 = -r, 0*u = 4*u + 4*r - 12. Let w(k) = -15*k + 10*k**u + 15*k. Let n(q) = -3*q**2. Calculate n(w(v)).\nAnswer: -300*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 2*h - 32 = 0. Suppose q = -3*b + 38, 6*q - 5*b = h*q + 43. Suppose q = o - 1. Calculate the greatest common factor of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*b + 3\/4*b**2 - 3\/4*b**4 + 1\/4*b**5 + 0 - 1\/4*b**3.\nAnswer: b**2*(b - 3)*(b - 1)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117770?\nAnswer: 2, 5, 11777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20102 by -38.\nAnswer: -529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.08 + -0.12. What is the smallest value in 2, -2, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*v - 4 = -2*t, -2*v - 7*t = -7*v - 4*t - 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 116 - 2\/(0 + -2). Let m be 10\/35 + t\/7. Let o = -9 + m. Calculate the lowest common multiple of 12 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 157550 and 92?\nAnswer: 315100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -269.111002 minus -0.2?\nAnswer: -268.911002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34120439.\nAnswer: 34120439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 99b6 + -43?\nAnswer: 9973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - g = 446, -6*g + g - 183 = -2*i. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) 4 (c) -12\/11 (d) 1\/2 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4 + sqrt(242) + sqrt(242)*1 + 5 + 0)**2.\nAnswer: -176*sqrt(2) + 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-13) - (-432)\/(-104). Let s(f) = 3*f - 4*f + 3 - 6. Let n be s(q). Solve 5*x + 4*p + n = 0, 2*x - p - 10 = -0*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4704 divided by -24.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/9 - 850*n**2\/9 + 4288*n\/9 - 1720\/3.\nAnswer: -2*(n - 3)*(n - 2)*(n + 430)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 2*m + 18, 17*h = 3*m + 14*h + 21 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (-1 + (-3 - -1)). Let o be (g - 5)*1*-2. Suppose 1 = y - t - 24, 50 = 2*y - 4*t. What is the nearest to 0 in o, y, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127847 is divided by 31394.\nAnswer: 2271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3812260 divided by 190613?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 593348936 less than -3?\nAnswer: -593348939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -707 (base 9) to base 4.\nAnswer: -20332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513874 is divided by 458.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59\/((-1652)\/120)*(-112)\/(-12)*(-1)\/(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 15*z**4\/4 + 7*z**3\/3 + 6*z**2 - 214*z. Is 60 a factor of w(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118555?\nAnswer: 5, 131, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 521244?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 f, and 1 y when four letters picked without replacement from {u: 2, y: 1, s: 1, o: 2, f: 7, d: 2}?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 21*q - 5*q + 88*q + 204*q.\nAnswer: 266*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6206 + -3961. List the prime factors of m.\nAnswer: 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 58\/18 + (-8)\/36. Let o(x) = 0*x**3 + x**3 + a*x - 4*x**2 + 3*x. Let c(d) be the first derivative of -d**3\/3 + d**2\/2 - 2. Determine -10*c(u) + 2*o(u).\nAnswer: 2*u**3 + 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 + 59. Let l(c) = 1 + c - c - 12*c + r*c. Calculate l(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 + 43\/3*g**2 - 161\/3*g + 49\/3.\nAnswer: -(g - 7)**2*(3*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -328, 446?\nAnswer: 446","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - 7. Let c be (-33)\/m + (-2 - -3). List the prime factors of 269\/c + 1\/(-4).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 948 and 348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7211*m**3 + 3538*m**3 + 69*m + 3569*m**3 - 69*m.\nAnswer: -104*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 137345766062 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y\/(y\/(y*y*y\/(y*y**(-2\/35))*y*y)*y))\/y)\/y)\/y*y)\/y*y)\/(y*(y**(4\/25)\/y)\/y) assuming y is positive.\nAnswer: y**(332\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a - 2. Let i(m) = -1 + 1 - 1 + m + 11. Calculate the remainder when i(7) is divided by w(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -81 bigger than -81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.2, 1\/4, -73?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*z - 251*z - 30 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 4 = 2*f, -l - 2*l = 5*f - 19 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -738\/5 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/17 + 74\/51. Let k(r) be the first derivative of z*r + 0*r**2 - 1\/12*r**4 - 2 - 1\/3*r**3. Factor k(f).\nAnswer: -(f - 1)*(f + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -4*h + 11, 2*m + h + 39 - 32 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*n - 20. Let y(s) = -s**3 - 5*s**2 - 7*s - 9. Let q be y(n). Solve -1 = l + x, -q*l - x = l - 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzlwe. Give prob of sequence elh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13946 and 6?\nAnswer: 41838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 424.5 + -424. Let p(i) = i**2 - 4*i + 4. Let l be p(4). Let h = -0.9 - -1. Sort l, h, g in ascending order.\nAnswer: h, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.09 (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -1.2. Let b = -0.4246 - -0.6246. What is the nearest to g in -1\/2, b, -0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (0 + (7 - 3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3781*p**2 - p - 9886 wrt p?\nAnswer: 7562*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1208\/12 - (-1)\/3. Let p = -68 + l. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.9, 2\/9, 4, -45\/4, -0.5, -4, 3\/958?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*m + 142 - 767. Let g(b) = 5*b**2 - 106*b - 5. Let t be g(m). What is the greatest common divisor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.29872 - 0.4?\nAnswer: 14.89872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6*r + 35 = -r, -5*m - 5*r - 115 = 0. Suppose -2*v - 160 = -144. Is 2 a factor of (v\/(-10))\/(m\/(-125))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -387*v**2 + 412*v**2 - 296*v**2 + (-1 - 2*v + 1)*(2*v + 1 - 1) + 0*v**2 + 3*v**2 - 2*v**2 - 2*v**2 - 4*v**2 + 7*v**2.\nAnswer: -273*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -69941868 times 0.6?\nAnswer: -41965120.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 10:18 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4885700.46 - -4785001. Let y = 100700.2600039 + c. Let z = -0.8 + y. Round z to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -21.5. What is the smallest value in h, -0.1, 1\/12?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 5 = -b. Let i be (b + -6)\/((-2)\/(-10)). Is 10\/i*851\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 6, -14929 in ascending order.\nAnswer: -14929, -8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3692 greater than -3692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.34 - 0.06. Which is the nearest to -1? (a) r (b) 0.5 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = s + 4*w, -3*s - 2*s = -3*w - 6. Suppose -l - 4 + 8 = s. Suppose 0 = l*o - 77 - 63. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 12*h = 30, -3*o - 27 + 40 = -2*h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2436 and 157332.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 164\/(-36) + 3 - (-6 + 3) and 127\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**2 - 943938 + 943938 + 2*t - 2*t.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 15\/2*i**2 + 17 + 10*i - 5\/4*i**4 + 0*i**3. What is w in o(w) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 417*d - 211*d + 5*d**2 - 211*d + 5*d**2.\nAnswer: 10*d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 611 and 169.\nAnswer: 7943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24903569 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -205 and 25382802.\nAnswer: 25382597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 978.5406cm to kilometers.\nAnswer: 0.009785406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/12 - (-710)\/(-60). Let g(l) = 31*l**2 + 3*l - 50. Let x be g(s). Suppose -5*n - x = -z - 2*z, -z + n + 1460 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**3\/7 + 4318*n**2\/7 - 193618*n\/7 + 541938\/7 = 0.\nAnswer: -2203, 3, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.17*-1.2.\nAnswer: 0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01058900318 rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 738 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(11\/3))**32 assuming v is positive.\nAnswer: v**(352\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 11. Let c be 4\/(-16)*-4 + s. Solve 1\/2*r**5 + c*r**3 + 0*r**2 + 0 - 1\/2*r**4 + 0*r = 0 for r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 - (-39 - 3))*(-8)\/7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r. Let f(i) = 326777290*i. Determine f(t(m)).\nAnswer: 1307109160*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165972 and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**6\/72 - k**5\/4 + 15*k**4\/8 + 2*k**3 - 14. Let h(o) be the third derivative of j(o). Factor h(m).\nAnswer: 5*(m - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6501 - 25?\nAnswer: 6487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*n**2 + 21*n**4 + 44*n**4 + 30*n**4 - n**2 wrt n?\nAnswer: 2280*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/55*(-10)\/(-4))\/18?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63037240, -63037231, -63037216, -63037195, -63037168?\nAnswer: -63037135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*f**3 + 2*f**2 - f**2 + 20*f**3 + (-1 + 99*f - 86*f - 2)*(-2*f**2 + f - f).\nAnswer: -24*f**3 + 7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7679 rounded to one dp?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 1 + 2 = -t, 5 = -m - 5*t. What is the units digit of (-38*1)\/(m + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4113123 or -4113122?\nAnswer: -4113123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188\/(-22)*13805\/(-2510).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(36\/5) - (-3)\/6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3741ca9 + 4?\nAnswer: -3741ca5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*g**2 + 231 + 7*g**3 - 2*g - 226 + 91*g**2 to j*g**3 + l*g**2 + h + v*g and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*c - 3*l, 33 = -3*c - 5*l + 7. Let v = -10275 + 143917\/14. Find the common denominator of 892\/(-1008)*c - (-4)\/14 and v.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**3 + 21588*d**2 - 8*d + 2059089 wrt d?\nAnswer: 3*d**2 + 43176*d - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 23993, 47996, 72009, 96032?\n\"Answer: 5*j**2 + 23988*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*s**4 - 11699*s**3 + 3236243*s**2 wrt s?\nAnswer: 144*s - 70194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 4*l**2 + 8*l + 2. Suppose -8 - 4 = 2*g. Let h be q(g). Suppose 2 = -3*a + h. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i + 6*i - 2 - 1 + 0*i. Let v be h(0). Let k = 0.01 + -0.31. Put k, -2\/3, v in increasing order.\nAnswer: v, -2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 5*b**4 - 70*b**3 - 180*b**2 + 280*b + 640 = 0.\nAnswer: -2, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1156)\/(-272))\/((-20)\/80).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueneupejuufun. What is prob of picking 1 f, 1 p, and 1 n?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -8*f + 2. Let y(l) = 42613*l. Calculate u(y(m)).\nAnswer: -340904*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -1255*p**3\/6 + 1925*p**2 - 3573*p. What is the first derivative of x(q) wrt q?\nAnswer: -1255","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30.2 in -4\/9, -11, -425, -5, 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46972561 to the power of 1\/3, to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 6*w + 1. Let r be h(7). Suppose 4199988 = -2*p + 3*u, 2*u = 4*u + r. Round p to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 17436.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnn. Give prob of sequence nn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-169)\/1183 - 6\/21?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m = 3*n - 21, 3*m - 1 = 4*n. Suppose n*v = i - 22, v - 5*v - 76 = -3*i. Let c = -33 + i. What is the closest to 1\/4 in 0.3, 3\/5, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -18. Let c = z + -6. Sort 2\/9, c, -3 in increasing order.\nAnswer: -3, 2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zpppzpppzppppppzppzp.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (342 - 338) + (1 - 1 - 26).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 426 and 36.\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*a + 20, -a + 6*a + 25 = -2*y. Suppose y = 2*p + p - 267. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38335 is divided by 661?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3653\/2 + 5480\/3. Let r(a) be the third derivative of -2*a**2 - 1\/12*a**4 - 7\/60*a**6 + 1\/35*a**7 + 0*a**3 + 0 + 0*a + c*a**5. Factor r(n).\nAnswer: 2*n*(n - 1)**2*(3*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.3219 + -100.1.\nAnswer: -107.4219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -314 - -328. Let h(t) = -9*t - 2. Let b be h(-2). Let i = b - d. Solve -i*s = 3*n - 5, 14 - 3 = -3*n + 2*s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/20 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 84520?\nAnswer: 253560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**2 - 387*j + 12526. Determine s(62).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 687512 divided by 12277\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - 0. Let o = -9.2 + 10. Let s = o + t. Which is the nearest to 0? (a) -3 (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 19 = a. Suppose -5*k + 654 - a = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7579 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2122343 is divided by 707423.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/1035 and -73\/46437.\nAnswer: 696555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4171 and 258?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/8)\/1*49\/490?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -10*f - 59 - 61 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -359 = -139*h + 1031. Calculate the smallest common multiple of 435 and h.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113186807815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 4*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 8*d + 2 = 9*g - 15, -5 = 5*d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 20, 5*v - 21 = 3*u - 8. Suppose 2*c - 2*t = 32, -t - 4 = t. Calculate the lowest common multiple of c and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 83?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 2*x**2 - 3*x - 1. Let l be z(-1). Solve 24 = 5*m - l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -114 + -65a?\nAnswer: -773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 7*t**2 - 8*t - 4. Let x be l(-6). Suppose 10 = -x*i + 34. Suppose 10 + 50 = i*b. Calculate the highest common factor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76 and 6065978.\nAnswer: 12131956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7053, -28222, -63503, -112896, -176401?\n\"Answer: -7056*u**2 - u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 3:49 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -246, -346, -424, -474, -490, -466, -396?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -553*v**2. Let i(d) = 4*d**2 + 3*d + 24. Let b(h) = -7*h**2 - 5*h - 40. Let c(j) = 3*b(j) + 5*i(j). What is t(c(o))?\nAnswer: -553*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 85 + -265. Let n = c + 180.881. Round n to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -207, -296, -421, -582, -779, -1012?\nAnswer: -1281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 n, and 1 r when three letters picked without replacement from elrnp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112486 and 22400?\nAnswer: 1259843200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/17 - 2\/17*s**3 - 10\/17*s - 8\/17*s**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**3\/5 - 10686*i**2 - 237950496*i\/5 - 475687296\/5 = 0.\nAnswer: -8904, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/9*27\/(-12). Let a be (-2151)\/(-33) - r\/33. Suppose 0 = -t - 4*t + a. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b - 30?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 10, a: 4, d: 2}. Give prob of sequence admm.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.91 in -2, -5, -0.9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g. Let u(t) = t**2 - 414*t + 875. Calculate b(u(f)).\nAnswer: -2*f**2 + 828*f - 1750","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 113 - 563\/5. Let i be 3\/(-1 - (-7)\/10). Let d be ((-2)\/20)\/(5\/i). Which is bigger: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13776*b**4*x - 2*b**3 + 14*b**2 - 3*b*x - 11*b + 24 wrt b?\nAnswer: 330624*b*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) - (sqrt(700) + -1 + 4)) + sqrt(700).\nAnswer: -3 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 3*r**2 + 18*r + 2. Let z be g(6). Let m be 568\/(-1065) + z\/5. Which is the smallest value? (a) -2\/9 (b) -5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*3\/(-45))\/((-2)\/(-6))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*p - 2*p = 6, 8 = t + 2*p. Suppose c = 4*w - t*c - 255, 0 = 2*w + 3*c - 155. What are the prime factors of w?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 178 + 158. Let s = -1.0537 + 0.0537. What is the nearest to -1 in s, m, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2088*j - 399 = -2031*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 2*y**2 + 6 + 5 - 4 - 24*y. Is h(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m. Suppose -5*f + 0*f + 20 = 0. Let y(b) = b + 4. Let l = -12 + 9. Let v(h) = 3. Let o(a) = f*v(a) + l*y(a). What is o(p(c))?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16594\/4917 + -5\/447. Suppose 25 = -5*i, -4*i - 23 = -5*b + 57. Find the common denominator of b and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p + 5*p**4 - 203*p**2 - 4*p**3 + 153*p**2 + 48*p**2 - 6 as h*p**2 + j*p**4 + y*p**3 + b + g*p and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 11:06 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/3 - 68*b\/3.\nAnswer: -2*b*(b + 34)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 45 = 7*h. Suppose -5 = -5*p + 5, -5*o + 4130 = -h*p. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2 + 6 - 6 - 3. Let s(u) = -u + 1. Calculate -2*s(x) - 3*z(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 10*l**2 + 2*l - 2. Let v(x) = -5 - 1 - 7 - 9*x**2 - 4 + 20 - x. What is 3*p(j) + 4*v(j)?\nAnswer: -6*j**2 + 2*j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2465\/24 + 95\/24. Let k = -1729\/15 + m. Suppose -35 = g + 104*a - 109*a, 0 = 3*g + 2*a + 20. Which is greater: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 9. Let o = -113 + 114. Solve 3*k = t*b, 0*k + 2*b = k + o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 56*h**3 - h. Suppose 5*x = r + 16, -2*x - x + 14 = -5*r. Determine v(r).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87 + 43 + 20*k + 44.\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 802*t + 807*t = -108, -3*t - 90 = 0. Let s(b) = b**2 - 1 - 153*b**3 - b**3 - 11*b**3 - b. What is the remainder when s(-1) is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - (1 - 0)*30\/(540\/(-18))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 2 + 2\/3*k + 2\/15*k**5 + 0*k**4 + 0*k**2 - 4\/9*k**3. Find p such that y(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - (-24)\/(-15)) + (-78)\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3920.1 - -3920. What is the nearest to -2\/9 in 0.8, x, -0.04?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 + 2 - 7*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -34.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + x + 9016. Let s be r(0). Suppose 4*v - s = -5*a - 32696, -4*a - 29591 = 5*v. Let l = 8415 + v. Round l to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5042 - 60481\/12. Find the common denominator of l and 100\/15*2\/(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -2. Which is the nearest to u? (a) 4 (b) 0.2 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nfeffnfnneenee?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -205, 551, 1309, 2069?\n\"Answer: t**2 + 753*t - 959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 30*d + 32*d + 35*d - 99*d. Let c(z) = 148*z**2 + 3*z. What is c(h(t))?\nAnswer: 592*t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38584, -38624, -38684, -38758, -38840, -38924?\nAnswer: -39004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8\/41 (b) 3\/5 (c) -2\/9 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1422, 1983, 11098, 28779, 57882?\n\"Answer: 476*t**3 - t**2 + 76*t - 1973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c2fdc (base 16) in base 7?\nAnswer: -33420446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 8. Give o(-15).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**10*u*u**6*u)\/(u**(1\/24)*u**(2\/3)) assuming u is positive.\nAnswer: u**(415\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 2*w + 6. Let s = -131 + 135. Suppose 2*j + u = -11, -u + 15 = s*j + 34. Calculate y(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250624 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**4\/2 - 43*p**3\/2 + 81*p**2\/2 + 43*p\/2 - 41 = 0.\nAnswer: -1, 1, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2794726, 4, 7 in increasing order.\nAnswer: 4, 7, 2794726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(76)*2 + sqrt(76)))\/(sqrt(32)\/(sqrt(8) + sqrt(128))).\nAnswer: 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + 0 + (-2 - 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (8 - -2 - 6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 4 - 5 + 4*b + 3. Let g be m(-7). Let p = -1 + g. What is the smallest common multiple of p and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 12. Let k be f(4). Let i be (k\/14)\/(1\/(-7)). Factor -u**2 + 7*u**5 + 2 - 3*u**3 + u**4 - 2 - i*u**5.\nAnswer: u**2*(u - 1)*(u + 1)*(3*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4\/10 + 7*v**3\/10 + 3*v**2\/2 + 13*v\/10 + 2\/5 = 0. Calculate v.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 45, 15, -35, -111, -219, -365?\nAnswer: -555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/q**26)\/q)**(-2\/21)\/(q**(-14))**44)**(-12) assuming q is positive.\nAnswer: q**(-51944\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.685 + 24.685. Sort z, 0.1, -0.4 in descending order.\nAnswer: z, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fdiszfvzdisf. Give prob of sequence ddf.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, w: 3}. Give prob of sequence wt.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1152 - -1155. Solve -q + n*v - 16 = -10, 0 = 3*q + v + 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 1. Suppose 3*c + c - 4 = 0. Let u = -9.4 + 9. Sort u, o, c in ascending order.\nAnswer: u, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 589 + -539. What is the least common multiple of 20 and t?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/476 and -41\/19720.\nAnswer: 138040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6264 = 56*b - 29*b. Which is bigger: 230 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186648?\nAnswer: 2, 3, 7, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -135*x + 5. Let t be i(3). Calculate the common denominator of (1 + -2)*t\/48 and -3 - 55\/(-15) - (-137)\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -10*p**2 + 7*p - 8. Let l(i) = -i**2 + i - 1. Let n(r) = 18*l(r) - 2*s(r). Determine n(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3348110, 3348109, 3348108, 3348107, 3348106?\nAnswer: 3348105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 12*n + 1\/8*n**3 + 1\/80*n**5 - 3\/2*n**2 + 0 + 1\/16*n**4. Let r(w) be the first derivative of y(w). Let r(s) = 0. What is s?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2194 a factor of 43538062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c**2 + 61*c - 6. Let s(l) = 4*l**2 - 61*l + 5. Calculate 5*m(p) + 6*s(p).\nAnswer: -p**2 - 61*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 5632?\nAnswer: -562a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -8. Suppose -k*l + 5 = 2. Let h be l - (0 + 1 + -3). Solve h*q - 9 = 3*r + 15, -2*r = 3*q - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.930895 and 237.\nAnswer: 235.069105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 299039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2846\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000101011110100 (base 2) in base 6?\nAnswer: -432404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, p: 5, g: 5, y: 2, k: 1, b: 1}. What is prob of picking 1 k, 1 y, 1 g, and 1 b?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -58279042361904.\nAnswer: -58279042361904.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 divided by 2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1427507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 0 - 6. Solve -2*q + 19 = 3*c, 5*q = d*c + c - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115 (base 7) to base 8.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*(v*v**(1\/10)*v)\/v)\/v**(-7)*(v**0)**50 assuming v is positive.\nAnswer: v**(101\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 875 and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5483252 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2308*t**2 + 11568*t**2 - 2302*t**2 - 2299*t**2 - 2354*t**2 - 2303*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -47.3, 18.648?\nAnswer: 18.648","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*4 - 2*sqrt(539) - (5 + (sqrt(11) + 1)**2*4)) + 0.\nAnswer: -53 - 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*h = 2*l, 8 = 3*l + 5*h. Which is greater: 1\/30 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 5. Let d be 27\/(-15) - (-3 + f). Let 2\/5*h**3 + 0*h + 0 - 1\/5*h**4 - d*h**2 = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -739*q**2 - 20696*q - 110. Give s(-28).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1900\/(-133))\/(-25)*147\/(-14)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, l: 3}. What is prob of sequence zz?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/17514 and -86\/2670885.\nAnswer: 5341770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -31. Let t = -16 - m. Solve 23 = -5*s - o, s + o + 0 + 3 = t for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 628115 and 98185?\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r**3 - 21*r**2 - 103*r - 700. Determine s(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2178849069?\nAnswer: 3, 109, 499, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -5446 and -5465 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -9*w - 1. Let r(v) be the third derivative of 5*v**4\/12 + v**3\/6 + 2*v**2 - 41. Suppose -5*p + 15 = 0, -i - i = 3*p - 19. Give i*r(n) + 6*z(n).\nAnswer: -4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2818973 - 1497082. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 6*j - 3 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10032 = -106*m + 51*m - 97*m for m.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y + 5*y**3 + 8*y**3 - 3 - 12*y**3 to the form j + h*y**2 + v*y**3 + b*y and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 29*s**3 - 3*s**2 + 4*s - 3. Let y be z(2). Let r = y - 2029\/9. Which is the nearest to 0.02? (a) -2\/7 (b) r (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7b5b + 5?\nAnswer: 7b62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 64093544?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 144000.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.447572 minutes to milliseconds.\nAnswer: 26854.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 19170864?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4189, -16875, -38019, -67621?\n\"Answer: -4229*z**2 + z + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(832) - sqrt(832)) + (sqrt(468))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 422179793819830296\/207713 + -2032515027076. Let b = 2\/18883 - i. What is the common denominator of b and -37\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 9*y - 14. Give d(11).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/108 and -31\/729.\nAnswer: 2916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*v - 73*v = -46*v - 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + (-101)\/2)*2. Let c = -775\/8 - a. Let q = -50\/133 + 18\/19. Sort c, q, 0.4.\nAnswer: c, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-13))**34\/((r*r**(5\/9))\/(r**3*r*r)) assuming r is positive.\nAnswer: r**(4315\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -285 divided by -15.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -855 = -5*k - 220. Let w = 280 + k. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.7 (b) -0.5 (c) 0.5 (d) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88012444 and 13754?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -223332023 (base 5) in base 15?\nAnswer: -14a128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 154 and 44?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from bbbtbbiixiiiiiiicx.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*z + 51 = -98*z + 948 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 5*d**2 - 7*d - 5. Suppose 25 = -0*f - 5*f. Let k be a(f). Suppose -m + k = 4*m. Solve 4*i + m = -2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 2. Suppose 0 = -0*s + 5*s - 15. Let h be s\/(-9)*-1*-4. Which is the third smallest value? (a) 2 (b) h (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2\/3)*x)\/x)\/x**3)**(-3)\/((x**(-2\/5))**(-6\/7)\/(x**(1\/4)*x)**(-19\/2)) assuming x is positive.\nAnswer: x**(-341\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 45 = 4*r, -204 = 5*k + 5*r - 154 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-65)*(4371\/14570 + (-2)\/(-10)).\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31105 + -21072. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 + -19. What is the common denominator of (i\/(-2))\/(-3 + -3) and 8\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308 - 308 + 4*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k + 13 - 59 = 0. What is the third derivative of 13*y - 78*y**4 + 15*y + 3*y**2 - 63*y**k - 28*y wrt y?\nAnswer: -1872*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -3 - (6 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*i**3 - 45*i**3 + 6*i**2 - 3*i - 44*i**3 in the form l*i**2 + t + u*i**3 + g*i and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3*j - 1237, 0 = -4*j - 7 - 13. Let t = m + -665. Suppose 39051 = -5*f + 2*u + t, -4*u = 5*f + 38512. Round f to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c**2 + 3*c + 20. Calculate m(6).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85371?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -135*g - 740. Let u be o(-4). Which is smaller: 0.04 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15, 4\/3, 17991?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -b7001 (base 13) in base 9?\nAnswer: -552047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*j + 95. Let u = 92 - j. List the prime factors of u\/(-4) + (-8050)\/(-40).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 9 - 63. What is the greatest common divisor of v and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 122?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 22*h + 12. Let n be j(-17). Let t = n - -61. Let u = 69 + t. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 2*m**2 - 5*m + 3. Let t be x(-4). List the prime factors of t + 4 + 0 - 1.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 867958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5710 is divided by 119?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2 - -2)\/2 + 205\/(-54) and (4\/32)\/(10\/(-1640)*9).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*p + 0*p = -8, 2*r - 6 = p. Solve -19 = -3*i - 2*n - r*n, 4*i - 2*n - 18 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(308)*3)\/sqrt(7))\/(sqrt(144)*3) + 0)**2.\nAnswer: 11\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 - 65*b**2 - 180*b.\nAnswer: -5*b*(b + 4)*(b + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32\/3? (a) -54 (b) -2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 223111032 + 3?\nAnswer: 223111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6974 + -4162. Calculate the greatest common divisor of 152 and f.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3688 - 0.09?\nAnswer: 3687.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5, -1, -9, -35, -85, -165, -281, -439?\n\"Answer: -b**3 + 11*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 62290650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/7 - 3252*s + 11565034\/7.\nAnswer: 2*(s - 10849)*(s - 533)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 9 = -d, -5*x + 4*d - 7 - 11 = 0. What is the units digit of -1 + 25\/15 - 26\/x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f**2 - 1910\/3*f**3 + 0 + 0*f - 5\/3*f**4 = 0.\nAnswer: -382, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 5)\/((-6)\/10). Let d be (12 + 549\/(-45))*5. Let y(i) = i**2 + i + 1. Let a(b) = -2*b**2 + 5*b + 5. Give d*a(h) + m*y(h).\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 - (-14 - -33 - -15 - 2)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*c**2 + 16*c**2 + 11 + 1316*c - 1315*c + 10*c**2 as j + s*c + b*c**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r - 2. Determine o(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 3*i + 2. Let m(p) = p**2 - p. What is 2*m(r) - y(r)?\nAnswer: r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22816, 22844, 22878, 22918, 22964, 23016, 23074?\nAnswer: 23138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 + -51. What is the remainder when 25 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.408753 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 557 or 3810?\nAnswer: 557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 480 = 3*y, 13*z - 16*z - 3*y = -492. What is the highest common divisor of 4 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a6 - 3?\nAnswer: -4a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 314*k**6 + 19*k**5 + 2*k**4 + 807*k**2 + 16 wrt k?\nAnswer: 37680*k**3 + 1140*k**2 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -764.3 - -0.208\nAnswer: -764.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5595\/(-22) + (-15)\/10. Let g = h - -256. Sort -4, 5, g in increasing order.\nAnswer: -4, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + (sqrt(275) + (sqrt(275) + (sqrt(275) + 1)*6)**2 - -5*(1 + sqrt(275))).\nAnswer: 450*sqrt(11) + 13518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.139764 rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 17*f + 1. Suppose 2*i + 4*u + 2 = 0, -2*u - 26 = -i - 31. Let c(j) = 33*j + 2. Calculate i*c(t) + 7*n(t).\nAnswer: 20*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 5:20 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2933440)\/(-39140) + (-2)\/(-38)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.840394 and -87971.8.\nAnswer: -87973.640394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**4\/4 - 30377*m**3\/2 - 242995*m**2\/4 + 151875*m\/2 = 0?\nAnswer: -60750, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0*u - 4*u)*(0*u + 2*u + u) + 0*u**2 - 3*u**2 - u**2 + (-3*u + u + 0*u)*(-2*u + u + 3*u) + 4*u**2 - 2*u**2 - 3*u**2.\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-4) - 111\/(-12). Suppose -2*v - v + q + x = 0, 1 = -v - q. Solve 5*u + 24 = o, v*u + 40 = -3*u + 5*o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/23 + 27\/46. What is the closest to m in 12, 0.5, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/35 + -41\/105. Let o = -2 + 1.5. What is the third smallest value in o, a, -2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -105291 - -105290.943459. Let f = k - -0.0569. What is f rounded to five dps?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - b + 5*b = 467, -4*b = 3*i - 1369. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r = 22*r + 35*r - 45*r + 1598 for r.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33230153 - 42345.\nAnswer: -33272498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-4) - 1\/(-1). Let f = 28 + -83\/3. Let x = f - 14\/15. What is the nearest to 0.1 in -0.4, n, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-40)*1*2. Let o(z) = 2*z**3 + 1. Let v be o(-1). Let j be ((-2)\/(-10))\/(v\/(-5)). Which is the biggest value? (a) p (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/12 and 91\/424?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbll when four letters picked without replacement from {l: 6, k: 1, o: 2, b: 2, n: 1}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 1. Let t be u(1). Let g = t + 0. Let i(s) = 5*s**2 + 3*s. Calculate the remainder when 39 is divided by i(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 37 - 21. Let j = x + -26. Suppose j*a**2 - 39*a**4 - 6*a + 15*a**5 - 14 + 27*a**3 + 14 = 0. What is a?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6368 divided by 1592\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07551 + -40293.\nAnswer: -40292.92449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3*15\/(-110)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/(-11*3\/(-165)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**3 + 2031*c**2 - 4050*c = 0?\nAnswer: 0, 2, 675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 535\/15*-2*-3. Suppose 0 = -4*i + 3*i + 5*v - 122, -5*i - 4*v = 552. Find the common denominator of (14\/i)\/(3\/r) and 85\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -228166 or -15?\nAnswer: -228166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 12*g = 27264. Suppose g = 6*t - 1188. What are the prime factors of t?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.83? (a) 0 (b) -1\/2 (c) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 2:59 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50891 is divided by 16893?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-582)\/(-97)*(-1)\/(-20)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**4 + 7*l**2 - 8*l - 8. Let n(r) = 4*r**4 + r**3 + 6*r**2 - 7*r - 7. Let x(j) = 4*n(j) - 3*z(j). Factor x(y).\nAnswer: (y - 1)*(y + 1)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**3 - 35501342*l**2 - 124254734*l - 106504068 = 0 for l.\nAnswer: -2, -3\/2, 8875339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7642?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 + -57. Solve u - 5 + p = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3, -38, 0 in ascending order.\nAnswer: -38, -9, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 69784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 927 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2*q + 4, -2*q = 4*g - 5*q + 6. Let t be (g + (-4)\/8)*1. Which is the closest to t? (a) -0.01 (b) -4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(119) - (sqrt(119) + sqrt(119)*-1)*3) + sqrt(119))*3)\/(1*(2*sqrt(49))\/sqrt(7)).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -55993634, -111987253, -167980870, -223974485, -279968098, -335961709?\n\"Answer: q**2 - 55993622*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.75 + -0.05. Let n be (-20)\/(-6) + 328\/(-246). Suppose 2*a - 16 = 2*b, -n*a + b - 2 + 14 = 0. What is the nearest to 1\/2 in a, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 81, -5, -4, 175, 11 in increasing order.\nAnswer: -5, -4, -2, 11, 81, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -28438\nAnswer: 7\/28438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -64*f - 14. Let m(x) = x + 1. Give 42*m(p) + 3*v(p).\nAnswer: -150*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 q when three letters picked without replacement from yqyyqyryyqyfyy.\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-152)\/(-4)*(-5)\/(-30)*3. Suppose -s*y = -21*y + 128200000. Round y to the nearest 1000000.\nAnswer: 64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 19 = -4*u + u, 3 = -u + z. Let i(w) = 0 + 25 + 3*w**3 - 14*w - 2*w**3 - 11*w**2 + 4*w**u. Is i(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38? (a) -6 (b) -40.5 (c) 10 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1267.2 and 257083510?\nAnswer: 257082242.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 196.6852 + -196. Round w to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -2. Suppose 2*i = 3*i - v. Suppose 0 = -2*y - q + 22, i*y - 3*q = 33. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*z + 5*j, 15 = -5*j + 10*j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 94 = 2070. Let n = x - -3669. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7*m**3 + 5*m**2 + 4*m + 5. Let t(g) = 7*g**3 - 4*g**2 - 4*g - 4. Let c(k) = -4*j(k) - 5*t(k). Find the second derivative of c(u) wrt u.\nAnswer: -42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1305\/(-348))\/(21\/112).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 9:21 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 + -5 - 154 - -5. Let z = x - -150. Solve 25 = 8*n - z*n - o, 4*n - 3*o = 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/3990 and 17\/40040?\nAnswer: 2282280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**3 - 112*c**2 - 319*c - 48. Let w be f(-53). Solve d - w = -2*y, -4*d + 19*y - 22*y + 15 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1158, 4705, 10594, 18825?\nAnswer: 29398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14598.\nAnswer: 2, 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 + -152. Let d be (-1602)\/(-10) + (-33)\/165 + -9. Let b = d + n. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/272 and -3\/4.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1 = -3. Let u = -9 + 14. Suppose y - 12 = -u*l. Solve -5*d = 2*z + 19, -l*z + 4*d = -z - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 12:40 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n + 4*n - n**3 - n to v*n**2 + t*n**3 + z*n + r and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 2*o**3\/3 - 2*o**2 - 12. Solve m(x) = 0 for x.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*-1 + 6\/(-3). Sort m, -0.3, 0 in increasing order.\nAnswer: m, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -3*j - 2*y - 22, -y = 4*j - 11. What is the smallest common multiple of j and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 275*i**2 + 22*i - 73. What are the prime factors of n(4)?\nAnswer: 5, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8914, -9, -1, -62\/7?\nAnswer: 8914","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -174, 0.1, 4\/7, -93?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 156*p**2*s**2 - 2*p**2*s - 6*p**2 + 3*p*s wrt s.\nAnswer: 312*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-60)\/70)\/(9\/(-21)). Solve 0*q = 3*v + 5*q + 14, 3*v - n*q = 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -21, 0, -1 in decreasing order.\nAnswer: 6, 0, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1188 + 1197. What is the highest common divisor of 1422 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 78894*f**2*l**2 - 555*l**2 - 30 wrt f.\nAnswer: 157788*f*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k. Let t(v) be the third derivative of 0*v**3 - 19*v**2 + 0 + 0*v - 5\/8*v**4. Calculate f(t(b)).\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-6 + (-1 - 0 - -11)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*p - 3*l - 2, -2*p - 2*l = -2. Let i(d) = -d**2 + 4*d - 403. Let z be i(21). Let v = -751 - z. Solve -v = -5*c + p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 7 + 3*h - 10 + 5 - 14*h**2 + 2*h**2. Calculate the smallest common multiple of i(12) and 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1204669 and 5.\nAnswer: -6023345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p - 7. Suppose 13 - 1 = a. What is the remainder when f(-6) is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 249 - 45*w - 109*w - 164*w - 56*w + 48*w wrt w.\nAnswer: -326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 2.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 4*k**2 + 7*k - 5. Determine f(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 + -21?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = -9*l + 76 + 29. Let a(x) = 0 - 6*x + 7 + 3*x. Calculate a(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -461.37\nAnswer: 2306.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a kilogram in grams?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.745510495961 - 2.\nAnswer: -1.254489504039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k - 107 = p, -2*p + 311 = 3*k. Let i = 108 - k. Solve 2*t + 2*t + i*z = -11, 0 = t + 4*z - 7 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 11. Let l be i(8). Let p(f) = -1 - 4*f**l + f - 1 + 3*f**3 - 7*f. Let m(b) = -b**3 - 7*b - 2. Give -6*m(x) + 7*p(x).\nAnswer: -x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-34)\/(-51))\/((-8)\/(-178)) and ((-28)\/(-21))\/(5\/19).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85 + 3614. Is 49 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 539*n - 3768. Calculate b(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**4 + 4*f**4 + 2*f**2 - 3*f - 3*f**2 + (-10*f - 10*f + 16*f)*(-2*f**2 - f**2 + 2*f**2)*(-1 + 9*f + 16 - 9).\nAnswer: 37*f**4 + 24*f**3 - f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 740 - 780. Sort 3, l, 4, -1 in descending order.\nAnswer: 4, 3, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ah when two letters picked without replacement from {h: 4, a: 2, m: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 205088349 a multiple of 2031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 221210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 2635*f + 129800.\nAnswer: 5*(f + 55)*(f + 472)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -59 + -44 + -22 + 41 + 30?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 12. Suppose 2*c + 7*c = -7*c + 400. Solve -n - m + 7 - 2 = 0, 0 = -n - p*m + c for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -2\/7 (b) -28 (c) -3 (d) -2\/5 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + q**2 + 2*q + 2. Let h be v(0). Suppose -3*p = -p + h. What is the nearest to 2 in p, 0.5, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y + 25. Let v(n) = n + 6. Let o(u) = -2*m(u) + 9*v(u). Suppose 6*z - 24 = 2*z. Suppose h + z = 3*h. Give o(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73428 + -43970. Let u = -29458.169997 + j. Let k = 0.17 + u. What is k rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 0 + 0*d**4 + 0*d**6 + 0*d**2 + 0*d**5 - 2\/21*d**7 - 3*d - 1\/3*d**3. What is the second derivative of p(c) wrt c?\nAnswer: -80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.24 - -1.76. What is the biggest value in i, -1\/3, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**2*j**3 - 21*h**2*j - 10*h**2 + 2*h*j**3 + 75*h*j**2 + 17*j wrt h?\nAnswer: 4*j**3 - 42*j - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t - 3 + 3 + (0 - 4 + 2)*(-3726 - 111*t + 28*t + 3731) to the form y + p*t and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(2\/20*-2). Determine k, given that 3*k**3 - 4*k**4 + 0*k**3 - 3*k**2 - k**3 + l*k**2 = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 14963, -1\/4.\nAnswer: -1\/4, -0.04, 14963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.34, 0.1 in ascending order.\nAnswer: -0.5, 0.1, 0.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dzzzzkzzzzzdkzdzz. Give prob of sequence ddk.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 8. Let r(v) = a + 7 - 1 - v. Let w be r(9). Sort 0, 5, w.\nAnswer: w, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006444333 rounded to six decimal places?\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 609 by 87.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/15 of a hour?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -14*l**2 - 1592*l - 4786. What is y(-3)?\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 + 4*c - 8. Let q(l) = 3*l**2 + 3*l - 8. Let y(i) = -4*q(i) + 5*t(i). Determine h so that y(h) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 2304.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 4*y - 1 = 11, -5*k - 28 = 2*y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u - 1. Let h be y(1). Let f be (7 - 611\/65)*(-5)\/3. What is the nearest to -2 in h, f, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 560 = -4*g + 2666, -k + 3*g + 649 = 0. List the prime factors of k.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6952 divided by -869?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7149*d - 277*d**5 - 20*d**2 + 11079*d**6 + 277*d**5 + 1 - 7150*d wrt d?\nAnswer: 1329480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24\/1040)\/(74\/(-648)). Let g = -1\/481 - v. Which is the smallest value? (a) -12\/13 (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**4\/3 + 6*n**3 + 36*n**2 + 238*n\/3 + 49 = 0. What is n?\nAnswer: -7, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, e: 4, p: 9, r: 4}. What is prob of sequence eiei?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/14 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvlvvvvvvvvvv. What is prob of sequence lv?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, -78, 4 in ascending order.\nAnswer: -78, -5\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29\/2 + 15. Let r(v) be the second derivative of -v**3\/6 + v**2\/2 + 2*v. Let b be r(-1). Is b greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*w - 86 + 2 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kiklvdvktkvivlv. Give prob of sequence vvk.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 17*a - 12. Let d be y(-16). Suppose -4*z = -5*j - 36, j = -d*z + 5*j + 32. Let x be (z\/12)\/((-3)\/(-9)). Solve 3*v - 5 - x = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000434 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -4. Let q = 19 - 16.4. Let g = q + z. Which is the smallest value? (a) -1 (b) 0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 84489824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, r: 2, b: 2, l: 8}. What is prob of sequence lflr?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 636.9 - 637. Sort v, -4, -0.01 in descending order.\nAnswer: -0.01, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -51*o**3 + 2*o**2 - 1. List the prime factors of p(-1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -0*x. Suppose x*i = 5*i + 30. Let o(u) = 7*u**3 - 9*u + 67*u**2 - 67*u**2. Let b(q) = 4*q**3 - 5*q. Calculate i*o(a) + 11*b(a).\nAnswer: 2*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-6) + 10\/12. Let t = -2.9 - -6. Let g = t - 2.1. What is the second biggest value in g, n, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 580209.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -6*u - 5*s + 32, -3*u + 28 = 4*s. Suppose r - 2*r + 5*d = 18, u*r + 50 = -2*d. Let a = r - -21. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19 and -52.\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145.6701ml to litres.\nAnswer: 0.1456701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6200550 divided by -10\nAnswer: 620055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -1.2. Let h = -4042.9 - -4043. Let z = 1 - 0.92. Which is the nearest to h? (a) 1\/4 (b) d (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -310e (base 16) to base 14\nAnswer: -4810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 54 - 57, 0 = -4*r + 3*m + 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.6223642 hours?\nAnswer: 2240511120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 12:18 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6875*k**2 + 6704*k**2 - 13229*k**2.\nAnswer: 350*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89752.278 - 11.\nAnswer: -89763.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - -2. Calculate the remainder when y is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6908387*k**2*n**2 - 2*k**2*n + 3*k**2 - 2*k - n - 11794 wrt n.\nAnswer: 13816774*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -37. Let s(f) = 2*f**2 + 8*f + 8. Let c be s(y). What is the hundreds digit of (-66)\/12 - -6 - (-351)\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - w - 3 = 0, -4*w = -2*z - w + 9. Let j be 4\/(-2) + (-1 - z). Let f = -0.1 + -1.9. Which is the second smallest value? (a) 1 (b) f (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 5*y - 6, 0*y - 4*y - 6 = 3*h. Let z(j) = -j - 2. Let o(w) = w + 1 + 4 - 4. Calculate h*z(c) - 3*o(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2. Let y be ((-2)\/1)\/((-3)\/6). Suppose y*a - 5*a = -1. Is a <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*l + 10, -7*l + 34 = 4*o - 2*l. Let n = -4 + 4. Suppose p - o - 12 = n. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(3\/5)*d)\/d*d*d*d)\/(d*d\/(d**(-5\/6)\/d)))\/(d**(-5)*d**(-6)))**(-21\/4) assuming d is positive.\nAnswer: d**(-2261\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4522765*p**2 + 4522765*p**2 + 65*p**3.\nAnswer: 65*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 534.811 and 2?\nAnswer: 532.811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**3 + 5*k**2 + 5*k - 5. Let p(a) = 4*a**3 + 6*a**2 + 6*a - 6. Let w = 33 - 39. Calculate w*l(o) + 5*p(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 534 - 386 = 0. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0722*-24\nAnswer: 1.7328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -11*v**2 - 36*v - 8. Let f(m) = -12*m**2 - 36*m - 8. Let o(w) = -4*a(w) + 5*f(w). Find g such that o(g) = 0.\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1561374767636+-0.1\nAnswer: -1561374767636.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-four fifths of a hour?\nAnswer: 38880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/3 + -2)*-3. Suppose 4*n = -0*h - f*h + 60, 4*h - 3*n = 32. What is the greatest common factor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32404, 259057, 874232, 2072191, 4047196, 6993509?\nAnswer: 11105392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12, 62, 194, 450, 872, 1502, 2382, 3554?\n\"Answer: 7*a**3 - a**2 + 4*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*(4*(sqrt(300)*1 + -3 - sqrt(300)) + ((sqrt(300) - (0 + sqrt(300))) + 1 - -2*(2*sqrt(300) - sqrt(300) - sqrt(300)))))**2.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 85528138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 7*w + 2*w. Suppose 3*y + w*y = 110. What is the highest common factor of y and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 20372, 5 in descending order.\nAnswer: 20372, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**6\/20 - t**5\/30 + t**4\/24 - t**3\/3 - 255*t**2. Let p be (-3)\/(-2) + 2\/4. Is u(p) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 + 3*a**2 - 2*a**2)*(-a + 4*a + 3*a)*(49*a + 17*a - 14*a).\nAnswer: -936*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 3 + 23. Suppose 17*n = 18*n - 11. Solve -i*k + 2*l = -n, 5*l - 16 = -3*k + k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/49*-2*4\/(-48).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, g: 7, r: 5, s: 3}. Give prob of sequence bsgr.\nAnswer: 1\/416","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q = -21*q + 198. Let y = q - 20. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*j**2*o**3*r**2 + 5*j**2*o**3*r - 2*j**2*o**3 + 1024*j**2*o**2*r**2 + 104*j**2*o + o*r wrt r.\nAnswer: -44*j**2*o**3 + 2048*j**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -k + 23 - 9, 4*k + 2*g = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 164896\/24167?\nAnswer: 164896\/24167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506251 is divided by 424.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1466 + -0.2004. Let s = 0.047 + v. Let j(h) = -3*h + 22. Let p be j(7). Which is the smallest value? (a) -0.3 (b) p (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 2*a + 28 - 2, 3*s - 12 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26674339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*-4*2\/(-32)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 7*c**2 - 5*c - 31. Let h be n(-7). Solve 0*d - 2*g = -5*d - 28, 3*g + h = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**5 + 826165*x**4 - 34123712435*x**3 - 307160504905*x**2 - 819131032720*x - 682622964100 = 0.\nAnswer: -5, -2, 82621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 531*d**3 - 47*d - 16*d + 69*d wrt d?\nAnswer: 3186*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -228319 * 0.118.\nAnswer: -26941.642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*k + 39 = -165*k. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 27*l**2 + 226*l - 1841. Does 6 divide o(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1040601 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*i**3 - 3*i**2 - 15 wrt i.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**5\/60 - v**4\/24 - 9*v**2. Let j(n) = 6*n**2 - 8*n. What is -8*c(a) + j(a)?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -4, 130, 2 in increasing order.\nAnswer: -4, 0, 2, 5, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1474, 3202, 5208, 7492, 10054?\nAnswer: 12894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + k - 2)*((-2 + 2 + 2)*(0 + 4 - 2) + 10 - 3 + 12)*(k - 1 + 1) to the form v*k + n*k**2 + b and give n.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 6 - ((-21)\/23 + -2).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1\/2))\/(i\/i**(-10)) assuming i is positive.\nAnswer: i**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5256 - 11633 = 93*l - 4799 for l.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3) + (-29 - (-69 - -48)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-4*-4*sqrt(567))**2*5 + 5).\nAnswer: 2903060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9779 + -9776. Which is the biggest value? (a) -5 (b) h (c) 294\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -641112.\nAnswer: -5\/641112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*b**3 - 9*b**2 + 5*b**2 + 149*b**3 + 2*b**5 + 18*b**2 - 14*b**4 - 12*b = 0. Calculate b.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7799?\nAnswer: 11, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53933 is divided by 26874.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*f = 23*f - 3*p - 126, 0 = -13*f + 2*p - 386 for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 886\/476 - 70\/(-245). Which is bigger: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.67 - 0.03.\nAnswer: 4.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - p + 2169611*p**2 + 8*p**3 - 2169517*p**2 + 2 to the form h*p**2 + y + z*p + x*p**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5285*r**2*t**3 - 17*r**2*t - 29*r**2 - 3*r*t**3 + 1129*r*t**2 - 55*t wrt r?\nAnswer: -10570*t**3 - 34*t - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 44*g + 99. Determine o(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5423951946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/24 of a day?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**6\/30 - 21*i**4\/4 + i**3\/3 + 24*i**2 - 196*i. Find the second derivative of o(k) wrt k.\nAnswer: 12*k**2 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 t when two letters picked without replacement from txbxzbtdtx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 13*n**2 + 24*n - 15. Let g be s(-3). Let p(d) be the third derivative of 0*d**3 + 1\/210*d**6 + 0 + g*d**2 + 4\/35*d**5 + 6\/7*d**4 + 0*d. Factor p(o).\nAnswer: 4*o*(o + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**9\/1008 + o**8\/560 + o**7\/280 - o**6\/120 + 2*o**3 - 2*o**2 - 62. Let l(n) be the third derivative of w(n). Factor l(r).\nAnswer: -3*r**2*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8*i**2 - 3*i + 1. Let c be j(2). Let n = -19 - c. Calculate the remainder when n is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 10*q + 4*m, 162*q = 165*q - 4*m - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**4\/4 - 4*l**3 + 17*l**2 + 10*l + 72. What is the hundreds digit of d(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83813 times -0.42?\nAnswer: 35201.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 440*p + 121. Let t(c) = -22*c - 6. Give 6*m(v) + 121*t(v).\nAnswer: -22*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 149 = -g + 3*i - 174, -49 + 16 = -3*i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 + 2*l**2 - 4*l**2 + 19*l**2.\nAnswer: -l**3 + 17*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-21))\/((-18)\/76)*43548\/29032?\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 775.930658 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 5186573.089125?\nAnswer: 5186573.189125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 + 1 - 2*a**2 - 1 + (-2*a + a - a)*(-2*a + 2*a - 2*a**2).\nAnswer: 2*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1355, -2608, -3637, -4328, -4567, -4240?\n\"Answer: 19*j**3 - 2*j**2 - 1380*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 0, 2*g = 832*k - 836*k + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44977.64kg to milligrams.\nAnswer: 44977640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 14242?\nAnswer: 14243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (308\/(-63))\/(536\/2412)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 468.986 - 469. Let y = 0.165 - 0.13. Let s = y - c. Round s to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n**3 - 10*n**2 + 5*n - 18. Let a(z) = z**3 + 2*z**2 - z. Let q(x) = 5*a(x) + d(x). Differentiate q(i) with respect to i.\nAnswer: 33*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87 and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 2*j**3\/3 - 11*j**2\/2 + 517. Let x(i) be the second derivative of -i**3\/3 + 3*i. What is d(x(t))?\nAnswer: 8*t**2 + 22*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/3 + 83126*j**3\/3 - 575855364*j**2 + 1151599896*j.\nAnswer: -j*(j - 41562)**2*(j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vlv when three letters picked without replacement from lsozszolsvslln.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425064 is divided by 425023.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 - 2*s - 5. Suppose 0 = p + 2*t - 14, 2*t - 4 = 6. Suppose 0 = -p*f + 5*x + 11, 0*x - 17 = -3*f - 5*x. What are the prime factors of i(f)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -39*j**2 + 5*j + 2. Let m(s) = -64*s**2 + 11*s + 4. Give 4*m(c) - 9*r(c).\nAnswer: 95*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15648 and 11826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 430066 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -26. Let u be (-84)\/(-1*1\/2). Suppose -5*d = -d - u. What is the highest common divisor of w and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -9. Let j = -0.01 + -0.06. Let v = j + -0.23. Which is the biggest value? (a) v (b) -1\/8 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 784855045162 less than -0.1?\nAnswer: -784855045162.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 46.\nAnswer: 5\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -223873796*o**5 - 83*o - 124711 wrt o?\nAnswer: -4477475920*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -31136488700 rounded to the nearest one million?\nAnswer: -31136000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35810415.\nAnswer: 3, 5, 17, 46811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 14*s - 16 + 16.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ro when two letters picked without replacement from aogooaraolro?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*r + 118 = 0, -5*r - 50 = 2*o - 3*r. Let j = -22 - o. Solve -3*c + c = -5*x + 6, -c - j*x + 12 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*i + 16473 = -7122. Which is greater: -604 or i?\nAnswer: -604","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2226991?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 3)*4\/(-10). Factor 2\/5*k**3 - 2\/5*k - 2\/5*k**2 + t.\nAnswer: 2*(k - 1)**2*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -l - 1624, -4*f - 2512 = l - 348. What is f rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.55, 14, 1 in descending order.\nAnswer: 14, 1, -0.5, -0.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21056927 rounded to three decimal places?\nAnswer: 0.211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 694 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8*j**2 - 2*j + 1. Let h(t) = 2*t - 1. Let r(n) = -c(n) - h(n). Let v(p) = -p. Give r(v(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 567400, 1134875, 1702352, 2269831, 2837312?\nAnswer: 3404795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*k = 7*k - 604, 4*m - 586 = 2*k. Suppose 3*z - m = x, z = 2*z + x - 48. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 9 + 742\/42.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1258*a**2 - 229*a**2 - 100*a**3 - 1029*a**2.\nAnswer: -100*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105074968?\nAnswer: 2, 37, 354983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*i**2*m**2 - 204*i**2*m - i**2 + 15*i*m**2 - 2*i*m - 4*m**2 wrt i?\nAnswer: -12*m**2 - 408*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -66, -242, -514, -864, -1274, -1726, -2202, -2684?\n\"Answer: 3*h**3 - 66*h**2 + h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44558*z**6 + 2*z**2 - 48667*z.\nAnswer: -5346960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -2221*x**7\/42 - 63*x**3\/2 - 21*x**2\/2 + 8168*x. Find the second derivative of j(r) wrt r.\nAnswer: -44420*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -777, -2994, -6651, -11748?\n\"Answer: -720*l**2 - 57*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3276*w**2 + 2415*w**2 - 1745*w**2.\nAnswer: -2606*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-12 + 12) - -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + j = -0 - 10, 3*x + 5*j - 28 = 0. Let k be 2\/6 - (-28)\/x. Suppose 5*o = k + 5. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -26100*z**3 - 6380*z**2 - 12760*z - 6380. Let r(m) = -4*m**3 - m**2 - 2*m - 1. Calculate -2*f(j) + 12760*r(j).\nAnswer: 1160*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhazgsm. Give prob of sequence hag.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 1945*r + 673518. Give b(300).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b91 (base 16) to base 13.\nAnswer: 50cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/4, 0, -2, 4\/3, -0.3 in ascending order.\nAnswer: -4, -2, -0.3, -1\/4, 0, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -12*h + 269. Calculate the remainder when u(19) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 22.9808. What is c rounded to 3 decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.91 and -0.485.\nAnswer: 2.38135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 1786*i - 9*i**2 - 1786*i. Let r(h) = -h**2. Determine 4*q(c) - 44*r(c).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a second in microseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296 = -4*x - 260 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 0.3. Let x be (-2 - 5\/(-2))\/(-4). Let u be (6\/(-8))\/(15 - (18360\/(-64))\/(-17)). What is the closest to u in j, -0.4, x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 32 - 44. Solve 0*w + o = -2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/8425?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 11751 - 23499 + 16*a + 11748. Let n(r) = -168*r**2. Determine n(g(p)).\nAnswer: -43008*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -52057, -52052, -52043, -52030, -52013, -51992, -51967?\n\"Answer: 2*x**2 - x - 52058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1023102 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1833 + 1849. What is the remainder when 533 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, o: 7}. What is prob of picking 2 o?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 + 3 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4972 is divided by 29?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 621 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21639 + 21631. Sort 5, -176, b, -5, 1 in increasing order.\nAnswer: -176, b, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 948*r = 11763 - 35463 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 1257 = -1394 + 2369. Calculate the least common multiple of q and 195.\nAnswer: 18135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4)**(-3\/13) assuming l is positive.\nAnswer: l**(-12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 7*a = 0. Let r = 4\/189 - 88\/189. Is r less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/10 and -53\/360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2468 or -0.7?\nAnswer: 2468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 3. Let t be b(3). Let z be (-4)\/t*(6 - 0). Suppose 0 = z*s - 3*s - 39. What are the prime factors of s?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 1 (c) -15 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -125*b**5 - 925*b**4 + 281320*b**3 + 5095500*b**2 - 23718240*b + 24822720 = 0.\nAnswer: -156\/5, 2, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 6*x**2 - 5*x + 4. Let n be a(-5). Let h be (-2662)\/(-312)*3\/n. Let v = h + -84\/13. Find the common denominator of -63\/20 and v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*o + 4570 + 4567 + 4523 - 18231 + 4571.\nAnswer: 27*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -44433210 (base 5) in base 13?\nAnswer: -108570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 3. Let p be s(7). Let y = 60 + -60. Let w = y - p. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4338?\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 41*m**7\/210 - m**6\/120 - m**5\/12 - 19*m**3\/6 + 6*m**2 - 5. What is the third derivative of k(q) wrt q?\nAnswer: 984*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14052 = 2*z - 5*y, 105*z = 100*z - y + 35076. List the prime factors of z.\nAnswer: 2, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 551?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -242*r**3 + 6*r**2 - 13*r - 623. Let q(w) = 726*w**3 - 17*w**2 + 37*w + 1869. Let t(s) = 17*k(s) + 6*q(s). Find the first derivative of t(b) wrt b.\nAnswer: 726*b**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 45 = -4*h, 2*h - 4*h + 78 = -2*i. Let j = -33 - i. Suppose 4*f - j*p + 2*p - 264 = 0, -3*f = -2*p - 198. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 3*b - 2, -2*l + 6 = b + 3*b. Let c = 5 - l. Calculate the greatest common factor of 12 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*b + 2*p, 4*p = 5*b + 6*p - 49. Let i = b - -13. Which is smaller: 21 or i?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2 + 218*c + 1021. Let o be x(-5). Let n(f) = -23*f**2 + 137*f + 4. Calculate n(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6444 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75.08 + 0.08. Let v = 71 + g. Which is the closest to v? (a) 5\/4 (b) -0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 3270381*c - 35974554.\nAnswer: 3*(c - 1090138)*(c + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-91)\/14*30\/(-325)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*-397230.62\nAnswer: -397230.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g = 3. Let z(i) = 60*i**3 - 3*i**2 - 2*i + 3. Let f be z(g). Is f\/4*2\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92677*m**3*u**2 - 6*m**3 - m**2*u - 31011*m**2 - m*u - 5*u**4 - 2 wrt u?\nAnswer: 185354*m**3 - 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -16*y**3 - 19*y**2 + 10. Let q(i) = 8*i**3 + 10*i**2 - 6. Determine 4*m(c) + 7*q(c).\nAnswer: -8*c**3 - 6*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 + -28. Suppose f*n + 43 = -5. What is the least common multiple of (-36)\/16*n\/9 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174662401.\nAnswer: 31, 53, 106307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 11:49 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/35058 and 38\/21.\nAnswer: 245406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -23920 at most as big as -23921?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -7*v. Suppose -2 = -c + 2. Suppose v = -0*d + 2*d - c*l + 8, 0 = -2*d - 5*l + 19. Does 2 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 - (-2 + 6 + -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 9:53 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 9*p = -10, 9*u - 5*u + 4*p = -20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -15. Suppose 0 = -u + 13 - t. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, 2, 25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 9. Let s be a(-15). Suppose s + 4 = 5*c. Solve 2*o = -2*b - 8, c*b - 5*o - 2 - 4 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -114586 or -114587?\nAnswer: -114586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20002 divided by -4.\nAnswer: -10001\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*f + k + 3*k, -4*k - 16 = 3*f. Let b be (-1 - -4)\/((-6)\/f). Solve b*l = l - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-five quarters of a century?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-4)\/12*-15. Suppose 2*i + l*w - 23 = 0, 0 = -5*i + w + 42 + 29. Calculate the greatest common divisor of i and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 476899.5 days in weeks?\nAnswer: 68128.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from kkkkaakkkkkkk?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25890 - 25890. Sort -7, -3, 34, h in descending order.\nAnswer: 34, h, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 655 and 656 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1\/4))**(-29)\/((q*(q\/q**(-1\/4)*q)\/q)\/(q*q\/((q**0*q)\/q)))*q**1\/(q\/q**4)*(q**(-1))**(-8\/9) assuming q is positive.\nAnswer: q**(-569\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3 - 8 = y, -5*y + d = -25. Let j(v) = 1033*v**2 - 6*v - 4. Let a be j(y). What is a rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01559 to 4 decimal places.\nAnswer: -0.0156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.081 and -2250.11.\nAnswer: 182.25891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 724 = -4*k. Let p = k + 187. Solve j = -p + 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35125849 divided by -869\nAnswer: 40421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 564470237 + 1276.3.\nAnswer: 564471513.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21 - (4 + -3)\/1. Suppose -3*h + 16 = q - 0*h, -k = -4*q - h. Solve -q*s = -s - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*l + 4*l + 40 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -8. Let f be 16\/6 - 46\/(-138). Let l(i) = i + 2 - f*i - i + i - 2*i**2 + 0. Determine l(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(-102) - 2\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 8:27 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 1 - 2) + 2. Suppose -t = -2*y + 7, 2*t + 3*y = -0*y. Which is the closest to r? (a) 3 (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35152 - 188966 - 138048 - 245658 = 14472*f for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -2\/93, -0.2, -4, 0.5 in descending order.\nAnswer: 26, 0.5, -2\/93, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -188821 - 8269822?\nAnswer: -8458643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -12*h**5 + 68*h**4 - 19*h**3 + 8*h**2 - 9. Let b(o) = -5*o**5 + 34*o**4 - 8*o**3 + 4*o**2 - 5. Let t(m) = 9*b(m) - 5*v(m). Factor t(y).\nAnswer: y**2*(y - 1)**2*(15*y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -739*r**2 - 2*r - 2. Let n(k) = 21*k**2 + k + 1. Let b(c) = -2*n(c) - s(c). Let q(v) = 12*v**2. What is q(b(t))?\nAnswer: 5829708*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -115.\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -2. Suppose -3*f = f + 16, -z*i = -5*f - 32. Solve 0*g - 2*g = -i for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from {i: 4, j: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(315)\/sqrt(5))**2.\nAnswer: 12*sqrt(7) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 820794922 is divided by 1165.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -912 = -64648\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 1:52 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 40*l - 74. Let n(m) = -440*m - 970 + 5*m**2 + 155 + 5*m**2. Let s be -63 + 3\/((-2)\/4 + -1). Let q(k) = s*a(k) + 6*n(k). Factor q(w).\nAnswer: -5*(w + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000288136 rounded to seven decimal places?\nAnswer: 0.0000288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 298897 + -183494. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -122955\/16 + 7688. Find the common denominator of g and -81\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 62 - 18f80?\nAnswer: -18f1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3824226589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**10)**(-39)\/(((w\/w**(-14)*w)\/w)\/((w**(7\/3)*w)\/w)) assuming w is positive.\nAnswer: w**(1015\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.06 - -6. Let y = 0.24 - n. Sort 2\/13, -2, y in descending order.\nAnswer: y, 2\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 370 = 14*r. Suppose -33*g = -r*g + 556. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 919639 to the nearest integer?\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -969 - -1?\nAnswer: -968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-15) + (-144)\/(-10). Suppose s + 1 = 2*b - 5, s + i = 4*b. What is the lowest common multiple of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11052400 (base 6) to base 16.\nAnswer: -51750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 + 7*s**3 + 22 - 3*s**3.\nAnswer: 2*s**3 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 5 = 3*l. Let d(z) be the second derivative of -56799*z**5\/20 - z**4\/2 + 5*z**3\/6 - 82*z. Let j be d(l). What is j rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 1860 = 393*j - 4804 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2822, 11224, 25208, 44774, 69922, 100652, 136964?\nAnswer: 178858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*1*sqrt(88))\/(4*-2*sqrt(2)*-6))**2.\nAnswer: 11\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 0.2 (c) -222 (d) -5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*x**4 - 99*x**3 + 12494*x**2 - 274701067 with respect to x.\nAnswer: -80*x**3 - 297*x**2 + 24988*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, 30, 128, 266, 444, 662?\nAnswer: 920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -115 + 146. Put 4, d, 1 in descending order.\nAnswer: d, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/3))**(-6\/11) assuming x is positive.\nAnswer: x**(-10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-766*l + 318 - 318)*(-3*l - 3*l + 4*l) + 2*l**2 + l**2 + 7*l**2.\nAnswer: 1542*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1320 and 8536?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h*h**17)\/h)\/h)\/h)\/h)\/((h\/h**(1\/17))\/h)*(h**33)**30 assuming h is positive.\nAnswer: h**(17069\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 3:42 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**7\/840 - x**6\/72 + x**5\/40 + x**4\/24 - x**3\/6 + x. Let g(z) be the second derivative of h(z). Is g(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/1779628607 and 39?\nAnswer: 1779628607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l - 10*l + 9 = 3*f, -11*f = -2*l + 45 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 4 + (-2 - 0). Suppose q*v - 8*p = -4*p + 16, -v + 2*p = -6. Let y(d) = 0 + 2*d - 5 + 4 - 2*d**v. What is y(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lee when three letters picked without replacement from lllelellllll.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 9 = 3. Let w(t) = -t**3 + 6*t**2 - 2*t + 2. Determine w(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 159926598.\nAnswer: 319853196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*f**2 - 40*f**2 - 32*f**2 + 155*f**2 - 42*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*o - 5*w = -87*o - 46 - 28, 3*o + 49 = 4*w for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -45 divided by 124\nAnswer: -45\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 14*g + 204. Let c be 3\/2*792\/(-54). Calculate the remainder when v(c) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*z - 9. Determine f so that z*f**2 - 15*f**4 + 4 + 11*f + 6*f**4 + f - 12*f**3 = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 439*f**3 - 6*f + 2. Let k(t) = -2195*t**3 + 33*t - 11. Give 11*b(g) + 2*k(g).\nAnswer: 439*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 198834*d**2*u**2*x - d**2*u*x - 571821*d*u**2*x + d*x wrt d?\nAnswer: 397668*u**2*x - 2*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 19 (b) -10\/9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -18. Solve -i + z*i - 15 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**0)**(2\/7))**(1\/2)\/(i*i\/(i*i\/(i\/(i*i**(-5))))*i*i\/i**(2\/3)*i**4\/((i**(-7)*i)\/i)) assuming i is positive.\nAnswer: i**(-361\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, p: 2}. What is prob of picking 2 a and 1 p?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 100, -0.10712, -5 in ascending order.\nAnswer: -5, -0.10712, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f - 979*f**2 + 2179*f**2 - 1198*f**2 + 84 to g + u*f + n*f**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 1. Let d(q) = -q - 24. Let h(p) = -3*a(p) - d(p). List the prime factors of h(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43459456.\nAnswer: 2, 339527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 278 and -2.\nAnswer: -556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/90*-26 - -6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1299612306 and -43?\nAnswer: 1299612349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 4*c**2 - 5*c + 2. Let h be s(5). Sort 30, h, 3 in ascending order.\nAnswer: h, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a factor of 12732464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*d - 6 = -28*d, 3*d = 8*b - 154. Solve -5*x + c + 6 + b = 0, -2*x + 14 = -2*c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 + 28 - -15) + 2.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, 3\/5, -41, -0.1, 10.3897, 5?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 6:07 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 133 and 49476.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 4:08 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 + -161. Let b = i + 85.9999993. Round b to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/120*-24*(-1)\/(-2). What is the closest to 0.1 in q, -7\/6, -1.4?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 9*h**2 + 21*h - 12. Let z be q(8). Is z bigger than 89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1525, 1, 5, 2, 21 in increasing order.\nAnswer: 1, 2, 5, 21, 1525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3642 divided by -6\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -51554912244 and 0.4823.\nAnswer: -51554912243.5177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -648, -3396, -8230, -15138, -24108, -35128, -48186, -63270?\n\"Answer: 2*g**3 - 1055*g**2 + 403*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -814039200 take away 397.03?\nAnswer: -814039597.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -744*b**2 + b - 11. Let w(y) = -744*y**2 - 12. Let t(q) = -3*u(q) + 2*w(q). Let i be t(11). Round i to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 3. Let n(x) = x - 1. Let p be n(0). Let j be 1 + (-4)\/(80\/12). Which is the nearest to p? (a) u (b) j (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*s - 4*p, 0 = -s + 5*p - 3 - 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 490234 not equal to 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 29 = 4*a, 5*a - 10*f + 7*f = 31. Suppose a*b + 8*b = -128. Sort 3, b, 0 in ascending order.\nAnswer: b, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14514*s**4 - 3*s - 1881 wrt s.\nAnswer: -174168*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 10:03 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247756739?\nAnswer: 317, 781567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1716 (base 14) to base 15\nAnswer: 135b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (0 + -9))*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2439 - 2436. Let u(l) be the first derivative of -l**2 + 10. What is u(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 5:15 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -112 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 61 - 10c235?\nAnswer: -10c1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3252574 to the power of 1\/3, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -54824.\nAnswer: -1\/7832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 183, 3, 0, 1, -695, -1, -4 in descending order.\nAnswer: 183, 3, 1, 0, -1, -4, -695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 244699?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 107.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 + (4 - 2) - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31809581 to the power of 1\/2, to the nearest integer?\nAnswer: 5640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + ((0 + sqrt(147) - sqrt(147)) + -5 + sqrt(147) - (sqrt(147)*1 + -4)))*-1 + -4)*-6)**2.\nAnswer: 1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.03, -345, 3\/8 in decreasing order.\nAnswer: 2, 3\/8, 0.03, -345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3664 is divided by 2430?\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 1673 and 951 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 16*p**6\/3 + p**4 - 92*p**3\/3 + 114. Find the third derivative of v(j) wrt j.\nAnswer: 1920*j**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -41\/210*m**7 - 67*m**2 + 0*m**3 + 0*m - 1\/3*m**4 + 0 - 1\/120*m**6 + 1\/60*m**5. What is the third derivative of y(q) wrt q?\nAnswer: -984*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-4)*(-46)\/(-69).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1\/3, -0.2, 0.2, 3\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 6*a + 12. Let i be k(-7). Let s = 4 + i. Suppose 0 = -4*j - y + 77, 4*y + 29 = 2*j - s. Solve -c = 3*c - j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 99, -13 in decreasing order.\nAnswer: 99, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f - 24. Let m be x(-5). Let a(s) = -15*s + 1. What is a(m)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45\/4 of a year?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50402066.\nAnswer: 2, 11, 13, 37, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 2*p - 20, 3*t + 466 = -4*p. Let s = 1953\/13 + t. Let a = -1.4846 - -0.9846. Sort s, 1, a in increasing order.\nAnswer: a, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + -9. Suppose 4*v - x = 2*d - d, v = 2*d + 14. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 + 4. Let w be v(-2). Suppose -3*n - 3*k - 12 = -n, 0 = 5*n + 3*k + w. Solve 5*b - f = 23, n = 5*b - b + 4*f - 28 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004333127 to six decimal places.\nAnswer: -0.000433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1900)*-3)**2 - (-1 + sqrt(38)\/sqrt(2))).\nAnswer: -51303 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*d, -3*n + 6 = -8*n + d. Let i be n\/(-3)*45\/5. Let v(a) = -a**2 - 2*a - 1. Let c(f) = 2*f**2 + 3*f + 1. What is i*c(y) + 4*v(y)?\nAnswer: 2*y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + sqrt(931))**2 - ((1*sqrt(931))**2*3 - sqrt(931)).\nAnswer: -1864 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(6)\/sqrt(3) + 4.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -180 or 3\/28873?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 + 40*z**2 + 100*z + 63. Let l be f(21). Calculate the highest common factor of 1464 and l.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*u + 272 = 0, -5*z - 2*u - 334 = -6*u. Let y = z + 80. Is y >= 78\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -164*p**5 + 689*p + 7. Let l(a) = -81*a**5 + 344*a + 3. Let y(o) = -7*l(o) + 3*v(o). What is the second derivative of y(c) wrt c?\nAnswer: 1500*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (96 + 529 + 1599 - 312)*(4*a - 5*a - a) to z + s*a and give s.\nAnswer: -3824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.2 (b) -0.5 (c) 3\/4 (d) -5\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 76576919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4, 19, 50, 103, 184, 299, 454, 655?\n\"Answer: j**3 + 2*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 0.01, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -0*i + 2*i + 1038, 3*c + 2*i = 1026. Let v = -33 + c. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (-51 - -61)) + -25 + -2 + 2\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**3 + 1 - 2*m**3 + 11*m**3 + (0 + 2*m**2 + 0)*(3*m - 3*m + 2*m) + 0*m + 0*m - m**3 + 0*m**3 + 3*m**3 - 5*m**3.\nAnswer: 7*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90650 is divided by 201.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/58536 and 119\/54?\nAnswer: 58536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*r - 62. Let j(s) = 6*s**2 - 2*s - 11. Let c be j(3). Let p = r + c. Solve n + 20 = p*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 198235, 396470, 594707, 792946, 991187, 1189430, 1387675?\n\"Answer: y**2 + 198232*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + x + 8 = 0. Let w(c) = 3*c - 1. Give w(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -400 (base 13) in base 8?\nAnswer: -1244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 14*l**2 - 16*l - 18. Let h be j(-13). What is the highest common factor of h and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 7:51 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*i - 84*i = 5*v - 32*i - 22, 3*i = -3*v + 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -5. Suppose -m = -t*m. Solve 3 = -3*x - m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000225592 to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30935\/13 + 312020\/117. Let m = p - 287. Which is the fourth smallest value? (a) m (b) 2 (c) 0.1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(7) + 5 + -1*(sqrt(7) + sqrt(7)*4) + sqrt(7) + sqrt(7)*-4 + 1 + (4*sqrt(28))\/sqrt(4).\nAnswer: -3*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146 divided by -30335.\nAnswer: -146\/30335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*l + 44*l - 25*l + l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 71012 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + 1)*-5)**2 + (sqrt(204) + sqrt(204)*-2)\/sqrt(12).\nAnswer: 49*sqrt(17) + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-1))\/((-656)\/(-164))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**2 + 2*s - 2. Let g(p) = -66*p**2 - 27*p + 27. Let j(f) = -2*g(f) - 27*k(f). Let w(y) = -8*y. What is w(j(c))?\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 660698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c. Let o(w) be the first derivative of 33*w**3 + 13 - 39 - 36*w**3. Give o(x(f)).\nAnswer: -144*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13046\/13 + 1003. Is m at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(136) - sqrt(136)))\/sqrt(8) + 3.\nAnswer: 3 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 - -20 - (1 - 61) - 14) + -9?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 4. Let r(i) = -3*i**2 + 145*i + 98. Let w be r(49). Put w, -3\/5, k in ascending order.\nAnswer: -3\/5, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-30) + 2333\/(-30). Let z = b - -371\/10. Find the common denominator of z and -3*((-129)\/36 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + q**2 - q. Let d(w) = -w**4 + 2*w**3 - 2*w**2 + 2*w - 1. Let b(h) = -d(h) - 2*r(h). Differentiate b(u) wrt u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -482667953, -482667954, -482667955, -482667956?\n\"Answer: -c - 482667952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*z**2 + 8*z**4 - 32*z**2 - 1706 + 13*z**3 - z + 1716 in the form n*z**3 + u*z + v*z**2 + k + q*z**4 and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 2*f**2 + 8*f - 9. Let v be w(4). Let x(u) = 17*u - 9. Let g(z) = 4*z - 2. Determine v*g(s) + 2*x(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -179.72 + 1.72. Let f = y - -117. Let q = 60.9957 + f. What is q rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 6*c**3 - 16*c**2 - 139*c - 92. Calculate h(-5).\nAnswer: -547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 55608 divided by -55608?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, 3, 26, 63, 120, 203?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**3 + 2*k**2 + k - 1. Let d be a(4). Differentiate 2 + 166*f - d*f + 2 with respect to f.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1746453, -1746456, -1746459, -1746462, -1746465, -1746468?\n\"Answer: -3*g - 1746450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 5074.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2. Let c(j) = 14623106*j**2. Calculate l(c(i)).\nAnswer: -213835229087236*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8574 is divided by 505.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 11 = 3*t, u - 28 = 5*t. Let g(r) = 12*r + 3. Let z(m) = 13*m + 3. Let j(x) = -5*g(x) + 4*z(x). Calculate the remainder when u is divided by j(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 513185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {a: 7, v: 2}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 4:42 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**2 + 104*h - 47*h - 61*h.\nAnswer: 6*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1338 and -1938332673.\nAnswer: -1938334011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -3*t**2\/2 + 9. Give z(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*t - 7*t = -73755. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeeeezeeeeeeeee. Give prob of sequence ze.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 97*z + 29. Let k be ((0 - -2) + -5)\/((-1)\/(-3)). Let x be q(k). What is x rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 9:09 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, 3, 492, -2 in descending order.\nAnswer: 492, 6, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -7.9. Suppose -121 = -4*v + 5*q, 3*v - 7*v = q - 139. Let z = v - 34. Put z, 1, t in descending order.\nAnswer: 1, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 45*l**2 - 310*l + 27. Let p be x(6). Solve -o = 4, 2*w - 2*o + 17 = -p*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.7, -3.46, -0.1, 5, 19, 1\/7 in ascending order.\nAnswer: -3.46, -2.7, -0.1, 1\/7, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in 4\/5, -5, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 5*d**2 - 2*d - 10. Let n be k(3). Suppose -y = -4*f + 5 - 2, -f = -n*y + 1. Suppose -4*r + 108 = 4*z, -5*z + 9 = -y. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0.4. Let j = 13 - 12.93. Let r = j - -1.93. What is the biggest value in o, r, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1, 591, 1181, 1769?\n\"Answer: -v**2 + 595*v - 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9055 and -15.7.\nAnswer: -142163.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 69\/45) + 12\/18. Which is the fourth smallest value? (a) -13\/2 (b) -2\/17 (c) w (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 55, 829 in ascending order.\nAnswer: 0, 3, 55, 829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*c - 2*w = 31*c + 12, 5*c + 32 = 3*w for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 74, 173, 272, 371, 470, 569?\n\"Answer: 99*t - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 144.911 + -0.111. Let w = i - 145. Which is the nearest to -0.1? (a) -2 (b) -0.5 (c) 1\/7 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2120221 - 2122?\nAnswer: 2111022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 20. Suppose p*t = -3*t + 168. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -699*t - 45525. Give c(-65).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/4)\/(3\/36). Let c(i) = -i + 7. Let q be c(g). Is (q\/3)\/((-2)\/(-114)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from {h: 6, w: 1, z: 4, s: 5}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 12\/3) + 2. Let u = t + 9. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -501*c**2 - 2783*c wrt c.\nAnswer: -1002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -3*u**3\/4 + 404*u**2 - 1075*u\/4 - 269\/2 = 0.\nAnswer: -1\/3, 1, 538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u + 0*u + u**2)*(2*u**2 - 2*u**2 - u**2) - 2*u**4 + 16*u**4 - 11*u**4 + 24*u**4 - 3*u**4 + 0*u**4 to n*u**4 + b*u**2 + z*u**3 + i*u + k and give n.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 52*g + 250. Determine h(-47).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/6)\/(k\/(k**(-4\/13)\/k))*(k**1)**(-46) assuming k is positive.\nAnswer: k**(-3755\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4200)\/(-9) + 2\/6. Suppose 0 = -4*j - 5*n + 929, -j + 3*j = -3*n + d. What is the common denominator of 6\/(-9) - j\/(-12) and 47\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154773, 309470, 464153, 618816, 773453?\nAnswer: 928058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28305\/8568 + (-50)\/(-16)?\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 6*s**2 + 5*s + 5. Let m be g(6). Suppose m = 2*i - 3*h, -5*h + 5 = i - 6. Calculate the smallest common multiple of 46 and i.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 0 (c) -4 (d) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 354367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*v, q = -0*q + 4*v + 14. Let j(c) = -c**3 + 5*c**2 + 2*c - 4. Let b be j(7). Is 11 a factor of (b\/(-6))\/(4\/q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 11 = 1. Suppose -5*w = j - 28, -3*w + u = -0*w. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 47*t - 45*t = 90, -d - 5*t = -61. What is the highest common divisor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2. Let i(s) = -12*s + 197 + 2*s**2 + 15*s**2 - 391 + 194. Give i(h(m)).\nAnswer: 68*m**4 - 24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.07 - -0.04. Let y = 24134 - 24133.969929. Let h = y + i. What is h rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -35*o**2. Let y(c) = 385*c**2. Calculate 45*u(n) + 4*y(n).\nAnswer: -35*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 96 = -7*z. Let t be (-36)\/(-8)*(-6)\/(-9). Suppose t*i = 101 + 7. What is the greatest common factor of i and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1753 - 2219 + 5724 + 192*s**3 - 1752 - 191*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -522863424 divided by 226152\nAnswer: -2312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3327 - 2883. Calculate the greatest common divisor of 259 and u.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/135)*f*f)**(3\/13)*((((f**(-28)*f*f*f)\/f)\/f)\/f)**(-20) assuming f is positive.\nAnswer: f**(328007\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -y + 973, -y + 2*y + 5*g - 1013 = 0. Suppose 4*p + w = 2*w - y, -4*p - 980 = -3*w. What is the tens digit of p\/(-7) + 45\/(-105)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520946263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, s: 1, u: 6, o: 6, a: 1}. What is prob of picking 1 s, 2 u, and 1 a?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g**3 + 352*g**2 + 3782*g - 968. Let u(f) = -23*f**3 - 1409*f**2 - 15127*f + 3872. Let d(n) = -2*u(n) - 9*z(n). Factor d(t).\nAnswer: -2*(t + 22)**2*(4*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -149184778 divided by 74592389\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 2. Suppose -3*p + 5*p - 26 = v. Calculate the remainder when (-2 - (-4 + 2)) + 38 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 661710.0000337461 + -661710. Round o to seven decimal places.\nAnswer: 0.0000337","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4343 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 2*k**2 - 4*k**2)*(-4 + 2 + 1) + 31 + 31 - 13*k**2 + 29.\nAnswer: -10*k**2 + 91","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184209319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 32, 1, 1350, -5 in decreasing order.\nAnswer: 1350, 32, 2, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r + 38. Let k(z) = -z**3 - z - 7. Let j be k(0). List the prime factors of b(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 134 - 85. What is the remainder when v is divided by (12 - (-1 - 1)) + 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1491, 5985, 13479, 23973, 37467, 53961, 73455?\n\"Answer: 1500*b**2 - 6*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 444353146 - 1?\nAnswer: 444353145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85 - -89. Let p(o) = o**3 + 11*o**2 - 6*o - 16. Let a be p(-5). Calculate the greatest common divisor of n and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 1104523?\nAnswer: 1104523.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.32 bigger than -53155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -113.5 - -2.5. Let v = 116 + q. Let p = 0.3 + -0.4. What is the second biggest value in p, -1, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68203159 to the nearest integer?\nAnswer: 8259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245 + 82 - 7*j + 81 + 82.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 112 + -103. Let r = -4 + x. Suppose -u + 2*u = 5. Solve u*p - g + r*g = 6, -4*p - 4*g = -8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b**2 - 15. Let a(s) = 11*s**2 - 30. Suppose -2*w - 2*t = 4, w + 0*w - 1 = -2*t. Let c(r) = w*v(r) + 3*a(r). What is the derivative of c(f) wrt f?\nAnswer: 16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 970.86844 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 701*p - 698*p + 18 = b, -18 = 5*b + 3*p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 + 3 + 1 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/1434415 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2020001 (base 3) to base 11.\nAnswer: -1244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54385 - -141840.\nAnswer: 87455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -1\/1176*g**8 + 0*g + 0 + 10*g**2 + 0*g**3 + 0*g**4 + 1\/420*g**6 - 1\/105*g**5 + 2\/735*g**7. What is t in y(t) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 + n**3 + n**3 + (n - 2*n + 6*n)*(2*n**2 + 4*n - 4*n).\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 5*p + 3. Let d be k(5). Let i be (-2)\/4*17*-4. Suppose -3*a + i = -s, -4*a + 5*s = -3 - 35. Solve 4*x + 1 = -d*q - a, 5 = -5*x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 831345 divided by -3?\nAnswer: -277115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -15*r - 3456. Give k(-230).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1117164 is divided by 199?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.153717 milligrams to micrograms.\nAnswer: 7153.717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 922379?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*f**2 - 12*f**2 + 1 + 2*f + 20*f**2.\nAnswer: 32*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 13) in base 8?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2790)\/20*16\/10. Let s = -222 - n. Suppose 2\/5*q**3 - 2\/5 + 6\/5*q - s*q**2 = 0. Calculate q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 334 + -3?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3982*q + 222991. Give r(56).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, b: 1, q: 8, r: 6, k: 2}. Give prob of sequence rd.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 11:27 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 9*j**2. Let b be l(-9). Suppose 45 = -b*n + n. Let o = n - 11. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 3*h**2 + 25*h - 11. Let z be 2*((-468)\/(-8))\/(-13). What is the remainder when t(z) is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 4 + -3 + -8 - -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1734 by -2.\nAnswer: -867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18046686 is divided by 352?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 - 308*u**2 + 5772*u + 6084.\nAnswer: 4*(u - 39)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 9:39 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 13. Let b be o(-9). Suppose 0 = 5*c + b*h - 187, -3 + 123 = 3*c + 5*h. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -92107\/458682 + 65\/326. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3979.\nAnswer: 23, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2740 = -4*o + 2456. Is o a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -13*q - 2. Let v(h) = 25*h + 5. Calculate 9*p(i) + 4*v(i).\nAnswer: -17*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1715, 2758, 4501, 6944?\n\"Answer: 350*x**2 - 7*x + 1372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35990 divided by 7198.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 499*z - 61064. Determine y(215).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 734683967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2 + 25*a + 7. Let w be f(13). Suppose -81 = -5*m - 16. Let o = m + w. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*k**(-2\/5))))**43\/((k\/(k\/(k\/(k\/k**8)))*k)\/k**(2\/11)) assuming k is positive.\nAnswer: k**(934\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 33*m + 78.\nAnswer: -3*(m - 2)*(m + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39235, -78469, -117703, -156937, -196171, -235405?\nAnswer: -274639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 3*v - 103. Let d = -75 + v. Let i = -11 - -18. Solve -5*t + i = 4*m - d, 3*t - 12 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, e: 5}. What is prob of picking 3 h?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqq. Give prob of picking 2 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 74228 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15302405.\nAnswer: 5, 3060481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 3 + 9 = 3*m, 0 = 2*d + m - 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7683)\/394*(-16)\/(-12).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*d - 55*d + 1286*d**2 + 32*d - 1293*d**2.\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1560\/130 + 574 + -1 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95 + 37. Let s = -130.752 + j. What is s rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (281*a - 284*a + 9*a**2 + 7*a**2 - 2)*(-5 + 0 + 3).\nAnswer: -32*a**2 + 6*a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**5\/9 - 182*v**4\/3 - 694*v**3 + 726938*v**2\/9 - 597040*v + 1156000 = 0.\nAnswer: -255, -51, 4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-45)\/(-12) + (-10)\/(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 6*d + 199. Let l be (4\/(24\/(-9)))\/((-117)\/(-884))*3. Determine r(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54 or -3334\/61?\nAnswer: -3334\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 444138582 - 4*l**3 - 444138582 + 2*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k**2 + 14*k + 15. Let q be r(-1). Solve q*h + 4*n - 9 = h, 0 = 4*h + n - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.014*4.\nAnswer: -0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24.64 and -0.1.\nAnswer: 2.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -224?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 7*p**2 - 11*p - 12. Let o be n(-6). Let t be (o\/(-45))\/((-8)\/380). Are t and 21 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 351*b - 2 - 6 + 9 + 48*b + 996*b to k + i*b and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2225*y**4 + 3*y**3 - 26758*y - 451861449?\nAnswer: 8900*y**3 + 9*y**2 - 26758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -65*b + 6. Let z(w) = -4484*w + 413. What is 413*h(x) - 6*z(x)?\nAnswer: 59*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45373 + -9661. Suppose 0 = -o - 7*o + y. Suppose 0 = 2*z + 3*w - 14918, -z + o + 3013 = -3*w. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -3*g + 5*r, 0 = g + 70*r - 72*r + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 - 0.3. Let g = 9.1 + -13. Let s = g + 2.9. Put s, a, -4 in decreasing order.\nAnswer: a, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/396 - (-14072)\/(-126)) + (90\/(-63) - -1).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1169464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 5:45 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8243, -12019, -15795?\n\"Answer: -3776*i - 4467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of b**3\/12 + 83*b**2\/2 - 167*b + 1729. Factor y(x).\nAnswer: (x - 2)*(x + 334)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + -3. Let t = b - -11. Determine w so that 3*w**2 + 3*w - w - 9*w**4 + 5*w**t - 1 - 4*w**3 = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -1 - -1)\/(-3). Suppose i*c = 3*c - 99. What are the prime factors of c?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2.5. Suppose -2*q + 70 = -5*w - 6*q, 5*w + 3*q + 65 = 0. Let b = 9 + w. What is the third smallest value in 3, k, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679020 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in -2\/3, 0.94, -3, -3.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*v = -242. What is the highest common factor of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47926066*a - 47926066*a + 675*a**3.\nAnswer: 675*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 - 32 - 25*o + 17)*(3 - 2*o - 3) - 4*o**2 + 0*o**2 + 2*o**2 to the form j*o + g + b*o**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 337 - 334 - 4*r + 0*r + 3*r. Suppose 3*x = 6 + 9. What is j(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048 a factor of 1840039652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 f when two letters picked without replacement from {r: 3, q: 3, l: 5, f: 1, w: 1}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -64a - 32293?\nAnswer: -32921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-70)\/(-28))\/((-1)\/2). Let s be (3 + -5)\/((-2)\/4). Suppose s*o = 5*o - 7. Which is the biggest value? (a) u (b) o (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -312872, -1251549, -2816032, -5006321, -7822416?\n\"Answer: -312903*i**2 + 32*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 15*y - 29. What is the least common multiple of -3*74*((-3)\/(-6))\/(-1) and t(-7)?\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 7 + (-4507)\/(-9) + (-6)\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10210957817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -6. Let s = 229 - 317. What is the units digit of 1 + (z - s) + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -209779.5212 to the nearest one thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 373107 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 159*c**5 - 985*c**2 + 43*c**4 - 25*c**4 + 274*c**5 - 19*c**4 wrt c.\nAnswer: 25980*c**2 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2. Let b(f) be the first derivative of -f**4\/6 - f + 2. Let l(z) be the first derivative of b(z). What is l(a(u))?\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 0.3 (c) -1 (d) 4 (e) 1237 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (7 + (1 - (-4 - -16)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 12*q**2 + 13*q - 2. Let d be u(9). Suppose -4*k + k - 2*v = -338, -d = -3*k + 2*v. List the prime factors of k.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3124*j**4 - 30*j**3 - 94620*j?\nAnswer: -37488*j**2 - 180*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 - f**2 + 58867 - 58867.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 744?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from huhaahauuuhhhh.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -448.15 + 448.1499943301. What is a rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 37345?\nAnswer: 298760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 9\/(2 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -97*u + 1. Let l be r(-1). Let n(j) = 2*j**2 + 88*j + 745. Let o be n(-33). Let z = o + l. What are the prime factors of z?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5526317t to micrograms.\nAnswer: 552631700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-11*(-4)\/(-10)*(-525)\/140)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039971830 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 141 - 5a3?\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 131, -5, 1 in descending order.\nAnswer: 131, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25612696 less than 25612696?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 10, -1\/9, 13565 in descending order.\nAnswer: 13565, 10, -1\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 0.3, -8, 5, 1, -1, 3 in decreasing order.\nAnswer: 20, 5, 3, 1, 0.3, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 9*i + 12. Let p be r(-7). Put p, -5, 3 in ascending order.\nAnswer: -5, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**2 - 4*j - 4. Let n be v(-6). Suppose x + n = 5*u + 20, -x = 0. What is the units digit of (-8)\/u + 92\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3342?\nAnswer: 2, 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4*sqrt(208) + (sqrt(52)*-2)\/sqrt(4) + (sqrt(39)\/sqrt(3) - sqrt(13))*-2)**2.\nAnswer: -144*sqrt(13) + 4228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132 divided by -71718.\nAnswer: -22\/11953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**7\/42 + p**6\/6 + 59*p**5\/12 - 105*p**4\/4 - 3*p**2 - 2*p + 92. Suppose y(f) = 0. What is f?\nAnswer: -7, 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 24\/73 (b) 4 (c) 1957\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/2 + 7273\/14. Let t = k + -311. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180\/(-100) - 5407044\/(-30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 0 + 60*b - 32\/11*b**3 - 2304\/11*b**2 - 1\/66*b**4. Factor o(w).\nAnswer: -2*(w + 48)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 707\/610 + 5\/122. Let m be ((-14)\/(-21))\/(60\/54). Factor 3\/5*c**2 - v - m*c.\nAnswer: 3*(c - 2)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9647432 divided by -4\nAnswer: 2411858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 122 + -121 + (6780 - -1). Let b = 1745 + a. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -3\/4, -0.2, -287.4, 3, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -2 - (0 - 4 - -3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-8) + (-2)\/(-8). Let f be (2\/(-1) - (-12 + 13)) + 23. Suppose 2*b + 3*b - 4*l - 12 = 0, -4*l + f = 3*b. Solve 3*c - b = t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 9*x - 6. Let q(r) = 7*r**3. Let n be q(-1). Calculate a(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34061 - -34092. What is the remainder when 3421 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000801752579 to 6 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 0. Suppose -4 = 2*u + 3*h - 15, 2*u + 4 = 2*h. Which is smaller: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 105*y - 2730. Let m be u(56). Solve 3*w - 2*l - 2*l - m = 0, 5*w + 5*l = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(19) + sqrt(57)\/sqrt(3) + -1*(sqrt(475))**2 + 0.\nAnswer: -479 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1851582 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 + 146 + 145 + 131 - 563 + 141.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 82, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.22 + 14. Let x = 2.22 + y. Let h = x + -2.0052. Round h to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*((-14)\/8 - -1). Let f(u) = -u**2 + 71*u - 1147. Let k be f(25). Calculate the greatest common divisor of s and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -191\/47 - -2389\/611. Let g = -3 - -12. Let d be (1\/3)\/((-2)\/g). Sort p, d, 2, -1.\nAnswer: d, -1, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 8:41 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s. Let i(h) be the third derivative of -h**7\/126 - h**5\/2 + 2*h**2 + 3. Let z(y) be the third derivative of i(y). What is z(d(q))?\nAnswer: 40*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 845972 is divided by 349?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4105, 8210, 12315?\nAnswer: 16420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6637 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -159054776925 take away 372?\nAnswer: -159054777297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + 29. Let k = g - 77. Which is the nearest to -2\/5? (a) -4.2 (b) k (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212268 is divided by 1042?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, r: 7}. What is prob of picking 2 r and 1 a?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 263436 by -65859.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 5) + 1 + 3 + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 192 divided by -6\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 177*a + 1021. Give d(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -25. Suppose -h*f - 9 = 11. Let s(x) be the second derivative of x**4\/12 + 5*x**3\/6 + 3*x**2\/2 - x. Give s(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16147143 a multiple of 396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -260*z + 267*z + 56 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-5 - 16*(-12)\/18)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -473228 + 3?\nAnswer: -473225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -355*b + 3*b + 10*b to t*b + d and give t.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 938.4167 minutes to microseconds.\nAnswer: 56305002000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 4572.\nAnswer: 4572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 551095181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1481967242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*m - m. Let y(i) = -5*i - 10. Let f be y(-3). Let l(j) = -j**3 - 4*j**2. Let v be l(-4). Sort m, v, f in ascending order.\nAnswer: m, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, j: 4, p: 5}. What is prob of picking 2 p and 2 n?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30750801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 222 and 148?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6292629491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 6:50 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13815?\nAnswer: 3, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 799849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 84377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3297 and 414.\nAnswer: 454986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 977775 is divided by 97639?\nAnswer: 1385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*p**3 - 2*p**2 - 529597*p - 33984576?\nAnswer: 24*p**2 - 4*p - 529597","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3111 and 345138.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*o - 2*o + o in the form p*o + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from {l: 4, j: 6, k: 7, r: 1}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x - 2*x - 24. Let g be 2\/10 - x\/5. Which is the second biggest value? (a) -2 (b) 0.2 (c) g (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2891.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 - 51*i - 6. Let t be n(26). Let r = -9 + 59. Calculate the highest common divisor of t and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 6:19 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 9 = -z, 0 = -5*o - 4*z + 33 + 11. Let b = -7 + 13. Suppose -o*m = -78 + b. What is the remainder when 16 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 8*v**2 + 10*v - 8. Let d be l(-6). Suppose -3*z - 1 = -d*z. Let n(f) = 5 + 9*f - 3 + z - 3*f. Determine n(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.2842 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*g + 22 = 0. Let b = -9 - g. Suppose -3*f + f = -2*z - 112, -4*f + 194 = b*z. Calculate the remainder when f is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, -2, -48, -144, -308, -558?\nAnswer: -912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, t: 2, j: 3, a: 2}. What is prob of sequence ta?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17498111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -176*l**4\/5 + 4*l**3\/5 + 176*l**2\/5 - 4*l\/5 = 0.\nAnswer: -1, 0, 1\/44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*r + 2*r - 5*r - 12*r + 3*r.\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.11572 times -1703.1\nAnswer: -197.082732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 9*a**2 + 14*a - 9. Let i be k(7). Let t be (-6)\/i*(7 - 1). Suppose t*v = 4*h + 816, v - h - 228 = -6*h. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3327 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from qdllqqaq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32143976941 + 32143976941 - 2*z - 2*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 194 times 2066\nAnswer: 400804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 3*w - 3, 3 = -v - 2*v - 2*w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 45*t**3 + 763614010*t**2 - 1357536180*t - 339384040 = 0.\nAnswer: -16969202, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1459237 or -1459231?\nAnswer: -1459231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (17 + 4)\/(-7) + 37*9. Suppose -6*t + 17*t - h = 0. Calculate the greatest common divisor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 - 7*m**3 - 2*m**3)*(-18*m + 7*m + 66*m).\nAnswer: -495*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wszszszs. What is prob of picking 1 s and 1 z?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 445 and 3685757?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbfb when four letters picked without replacement from {h: 1, y: 3, f: 1, m: 3, b: 3}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4444849\/76 + -58486. Calculate the common denominator of 604\/(-3)*5\/40 and a.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 + 19. Let q = -72 + 73. Suppose 22 = 4*a - 5*d - q, 2*d = 4*a - 38. Calculate the smallest common multiple of k and a.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 0 - 7\/720*t**6 + 0*t + 1\/120*t**5 - 1\/12*t**4 + 0*t**3 - 3*t**2. Let k(p) be the second derivative of y(p). Calculate k(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -913.341778 rounded to the nearest integer?\nAnswer: -913","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -476*x - 13*x**3 - 1 + 12*x**3 + 715*x to the form y*x + n*x**2 + z*x**3 + l and give y.\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 17*y + 25. Determine a(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(-6\/17)\/k)*k*k**(2\/29) assuming k is positive.\nAnswer: k**(1687\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-p + 0*p - 2*p)*(-2*p - 2*p + 2*p) - 4*p**2 + p**2 + 5*p**2 - 5*p**2 - 7*p**2 - 56*p**2 + (9*p + 11*p - 5*p)*(0*p - p + 0*p))*(2 - p - 2).\nAnswer: 75*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155628362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 8:51 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = -26*q + 262 + 792. What is the highest common factor of q and 2077?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sugsggssgggsgk. Give prob of picking 1 s, 1 u, and 1 k.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 + 8)\/(12\/3828). Calculate the highest common divisor of n and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 10 - (19 + -11)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 11 = 5*f. Suppose -m + 4*l - f*l + 680 = 0, -5*m = -2*l - 3451. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 8*t. Let h(g) = -7*g. Let o(w) = -6*d(w) - 7*h(w). Let z(v) = -v**2. Determine z(o(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -11. Suppose 0 = l + 3*j - 19, v*l = 3*l - 2*j + 26. What is the lowest common multiple of 1\/(-4) + 49\/l and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(((w\/(w\/w**(1\/2)*w))\/w)\/w))**27\/(((w*w**(1\/5)*w)\/w)\/w)**(-2\/25))**(-1\/20) assuming w is positive.\nAnswer: w**(-23629\/5000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27617\/3 - -9307. Let f = 103 - t. Which is the biggest value? (a) f (b) -0.06 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**4\/24 - 7*v**3\/6 - 6*v**2. Give o(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -32, 0, 1545, 5, -0.4, -5, -2?\nAnswer: 1545","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t. Let u(i) = 781347318*i. Calculate u(s(k)).\nAnswer: 1562694636*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 + -11 + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2065 + 1287. Let s = t + 1185. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9271 + 18478 + 19*l - 9249 to i*l + b and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*y - t = 19*y - 769, 5*t = -5. What is the smallest value in 3, y, -0.5, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 21*c**3 - 12*c**2 + 28*c - 17. What is the thousands digit of q(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62680 - 2*t - 62680.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) -1\/26 (c) 0 (d) 5 (e) -0.0729427\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - f + 10500 + 11674 = 0, 3*f = 5*b - 55424. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a hour in seconds?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3368 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 137 = -151 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6338192 + -3724892. Round a to the nearest ten thousand.\nAnswer: 2610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2431.9 + 2432. Is o smaller than -1320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**3 - 2*h**2 - 2*h - 1. Let c be s(-1). Let o be c + (-2 - (2 + -4)). Let r(f) = -f**2 + 3. Let y be r(0). Solve y + 5 = -o*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**3 + i**2 - 1. Let r be d(1). Let j be (-8 + 2)\/((-3)\/3). Let f = j - r. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x. Let h(q) be the first derivative of 0*q + 0*q**4 + 0*q**3 + 3*q**2 + 8 + 1\/10*q**5. Let y(d) be the second derivative of h(d). What is a(y(o))?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 3:38 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(3) + 2) + 4.\nAnswer: -sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/10 - 216\/(-45). Let n(h) = 4*h**2 - 14. Is n(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39764*4.7\nAnswer: 186890.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 606173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48585?\nAnswer: 3, 5, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(343) - sqrt(20)\/(2*sqrt(10)).\nAnswer: -5*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2845825, 5691635, 8537455, 11383291, 14229149?\nAnswer: 17075035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one quarters of a centimeter?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*c - 4*q - 40, 4*c - 25 = q. Let t(g) = -g**3 + 4*g**2 + 5*g. Let w be t(c). Suppose w*i + i - 58 = 0. List the prime factors of i.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9579 + -9492.905. Let g = d + -86. Round g to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*f - 5*v - 5, -4*v = 5*f - 5. Suppose 4*i = -5*q - 50 - 125, i + f*q = -40. Let w = i + 49. Solve -a + 0 = -w, -3*h = -5*a + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u + 2. Suppose -4*p + 4*k - 8 - 4 = 0, p + k - 5 = 0. Let b(v) = 8*v + 10. Let z(x) = p*b(x) - 5*g(x). Let i(n) = 3*n**2 - 12*n. Calculate z(i(o)).\nAnswer: -6*o**2 + 24*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -335552, -1342213, -3019982, -5368859, -8388844, -12079937, -16442138?\n\"Answer: -335554*j**2 + j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46.414 - -37.5012. Let b = 84 - d. What is b rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 - 14*i + 17. Let m be y(9). Let c = 231\/4 - m. Let s = c + -4. What is the fourth smallest value in -1, -0.4, 5, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(208))**2.\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -4\/25, -0.1, -0.022, -9, -0.4, -1\/7, -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 2 = 4*j + 40, 69 = -113*c + 118*c - j for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -130.5 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3423, -3303, -3183?\nAnswer: -3063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**6 + 242248*b**5 - 428610*b**2 wrt b?\nAnswer: -240*b**3 + 14534880*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 8*x + 3*x + 30, -3*x = 4*g - 35. Let t be 16\/(3 - 1\/1). Find the second derivative of v**5 - 7*v + v**g - t*v**5 wrt v.\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 316468 = -2*q - 79416, 5*k - 989755 = -4*q. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u + 14. Let m be -2 + 3 + 20\/(-5). Let s be f(m). Solve 4 = d + s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(187)*2 + sqrt(187))\/sqrt(11) + sqrt(17) + 0 + -5)**2*-4.\nAnswer: -320*sqrt(17) + 2376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 8. Let r be m(5). Let l be 3*-1*8\/r. Let b be (4\/(-6))\/(l\/36). Solve -2*a - 4*c + 5*c - 4 = 0, -b*a + c - 5 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 6 = -5*o. Let c be 5 + 5\/((-10)\/o). Suppose 5*v = 12 - 2. Is v greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*l**2 - 2 + 0 + 94*l**2 + 201*l**2.\nAnswer: 325*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -203.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2637 + 2642. Let y = 0.1 + -0.2. What is the closest to 1 in b, y, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -7*b + 17. Suppose -12*t + 450000 = -b*t. Round t to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -1\/6, 4\/3, -12\/25?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*d - 62, 4*x + d - 5*d + 68 = 0. Let c(y) = y**2 + 3*y + 33. Is c(x) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -505241995 by 5.\nAnswer: -101048399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 9 + 3. Suppose 4*a - 16 = -0*a. What is the remainder when t is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-1)\/5 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j = 38*j - 7298152. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -7\/12*m**4 + 5\/42*m**7 + 0*m**2 + 0*m**6 + 0*m**3 + 0*m**5 + 0 - 2*m. Find the third derivative of j(i) wrt i.\nAnswer: 300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2577221?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57 - -94. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*x - 29*x - 16 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 - -59. What is the remainder when 114 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -g - 4, -5*g + 29 = 4*t. Suppose -87 = -5*h + 4*w, -t*h + 72 = -2*h - 2*w. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*b + 55*b + 114*b + 113*b + 114*b - 623*b + 114*b.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 2 + 1 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s + 24. Let x be u(12). Let l be x - -13 - 0\/15. Find the second derivative of l*p + 11*p**2 + 6*p + 14*p - 9*p wrt p.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -8. Factor 4*g**3 - p*g**2 + 4*g**2 - 6*g**2 - 2*g**3 + 2*g.\nAnswer: 2*g*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/8 + 2455153*l\/2 - 14730936.\nAnswer: (l - 12)*(l + 9820624)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 2513 = -2577 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 74 - 3521 = 0. Is 18 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 2477307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 781123204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5318 = 27*p + 5858 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154797, 619182, 1393151, 2476698, 3869817, 5572502?\nAnswer: 7584747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*v\/(v*v\/v**(7\/3)))*v*v*v*v*v**10)\/(v**(-2\/13)\/(v**(-17)*v)) assuming v is positive.\nAnswer: v**(-85\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2106 and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {j: 1, g: 1, c: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*y + 8. Let c(d) = 5*d - 1. Is c(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -30\/833?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5136 + 5143. Let j = -1.3 - -0.3. Let k = -0.513 + 0.013. Put j, k, -2, u in increasing order.\nAnswer: -2, j, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1066.018401 microseconds to weeks.\nAnswer: 0.0000000017625965625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7 = 2*a - 3, -5*a = -15. What is the third derivative of 13*f**k - 9*f**2 - f**3 + 3*f**2 wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -17 + 5. Suppose -i = 2*t - 6, i = 6*i + g*t - 30. Do 7 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462083323 a multiple of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 36*r + 133. Let v be n(32). Suppose -v*w = 391 - 416. What is the greatest common divisor of w and 365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 - 3*x + 19 - 18 - 4*x**2 + (5*x - x - x)*(130*x + 205*x - 131*x) in the form u*x**2 + d*x + n and give u.\nAnswer: 610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -133 - -127.35. Let g = -1.79 - h. What is g rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + 17061?\nAnswer: 17056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 2. Let l be d(-4). What is the remainder when 113 is divided by 2\/4*(38 - 0\/l)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 740 - 744 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8165 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(272) - sqrt(68)*1) + (sqrt(153) + 1)*-1)**2*-2 + 3.\nAnswer: -2753 - 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -14. Is (-2 + -515)\/(5\/y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -620430.3 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + 0*v - 2*v)*(-42634*v + 558 + 85263*v - 42625*v).\nAnswer: 8*v**2 + 1116*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/3 + 9\/(-27)*2. Put f, 5, -3, -4 in increasing order.\nAnswer: -4, -3, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 329*a - 135. Suppose 7*t = 2*t + 4*b + 106, b - 23 = -t. Is m(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6549?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12b8568 + -1?\nAnswer: 12b8567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4274909?\nAnswer: 1747, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1641 divide 294484819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**3 + 2*o**3 + 0*o**3)*(4*o + 25*o - 7*o) + (101 - 101 - 15*o**3)*((0 + 1 + 0)*(o + o + 0*o) + o - 5*o + 3*o).\nAnswer: -59*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: d1 (base 14) to base 15\nAnswer: c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -3. Suppose -y*f = 1 + 15. Let r = 24 + f. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + n**2 + n + 1. Let a(u) = 36*u**3 - 6*u**2 - 6*u - 5. Determine a(t) + 6*o(t).\nAnswer: 30*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -318 + 322. Let b be -6 + 34*18\/l. Sort 1, 4, b in decreasing order.\nAnswer: b, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a meter in millimeters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 + 7*d. Let g(h) = 11*h + 13*h**2 - h**3 - 4 - 5*h**2 - 9. Let s be g(9). Suppose -4*x + 25 = 2*u + 3*u, -u + s = -2*x. Give c(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12750.3*-5\nAnswer: -63751.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**8\/112 + n**5\/20 - n**2 + 3. Let c(u) be the second derivative of j(u). Find the third derivative of c(y) wrt y.\nAnswer: -180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 375 - 375. Which is the nearest to 2\/5? (a) 2 (b) -0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 8:34 PM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a factor of 7474045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -0.2. Let m = k + -16.2. Let y = -14.964 - m. What is y rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234429227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -1 (c) -5 (d) 3\/7 (e) -139\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7916504 + 15223504. What is j rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 5*c + 26 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/211731767 and 63\/1229212.\nAnswer: 846927068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyyxi. What is prob of sequence yxy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g*o**3 - 30145*g*o**2 + 74*g - 2*o**3 + 155774080 wrt g?\nAnswer: o**3 - 30145*o**2 + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2565*((-2)\/(-9) + (-2474)\/(-45)). Is k\/45 + -2*9\/(-30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/8 + (-1)\/4. Let w = -799\/4 + 201. Which is bigger: w or z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36\/(132\/(-11))*(-1)\/(-7). What is the second biggest value in 0, f, 1.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 1.99. Let p(r) = r**3 - 9*r**2 + 6*r - 49. Let u be p(9). Let n be 0 + (1 - 0) + (-9)\/u. Sort n, f, 5.\nAnswer: n, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 767 and 78?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -23*u + 231*u**2 - 8 - 202*u**2 + 2. Let j(p) = -5*p**2 + 4*p + 1. What is -34*j(r) - 6*t(r)?\nAnswer: -4*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 12 - (-6 + 18 + -13).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 5:20 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t**3 + 16*t + 3*t - 20*t - 7*t**3 - 20*t**3.\nAnswer: -37*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.384 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 21*q - 29. Determine y(19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 374053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgpay. Give prob of sequence ypga.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(1\/18)*b**(13\/6))\/((b\/(b\/(b*((b**(-1\/19)\/b)\/b)\/b*b))*b)\/b**(-33)) assuming b is positive.\nAnswer: b**(-5102\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 231642306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -15, -5 in decreasing order.\nAnswer: 5, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 405 = -10*n. Let t = -39997\/532 - 453\/76. Let y = n - t. What is the closest to 0 in y, 0, -3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 50 + (-2 - -4). Let h = s + -36. Calculate the remainder when 66 is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -47*p - 40*p + 2275 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 289 + 225 = 2*f, -3*k + 2*f + 6 = -62 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = u + 233, 20*n - 15*n - 578 = -2*u. Solve 5*w - n + 111 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)*-2*2)\/(-1*sqrt(99) - sqrt(11)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/9 (b) -0.27 (c) -1\/4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 3) in base 16?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -0.3 (c) -5 (d) 2 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 326\/(-30155) - 1826\/2220.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.9 + 8.9. Let y = c + 3. Sort -3, 2\/9, -4, y in increasing order.\nAnswer: -4, -3, 2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21045.\nAnswer: 3, 5, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**3 + 3*n - 3. Let u(q) = q - 1. What is 6*u(a) - 2*y(a)?\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**0)*l)**(8\/15)*(l**(-12))**(-17))**49 assuming l is positive.\nAnswer: l**(150332\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (3 - 4))*-1. Let l be o*(4\/(-3))\/4. Suppose -21 = -l*s - 3*s. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*a + 3*a - a)*(a**2 + 0*a**2 - 2*a**2) + 559 - 560 - 869*a**3 + 96*a**3 as x + n*a**2 + y*a**3 + c*a and give y.\nAnswer: -771","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/2 - -21\/10. Is 2 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3374 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27.8 - 29. Let q = b + -3.8. Sort q, -2\/9, -0.05 in increasing order.\nAnswer: q, -2\/9, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 0) + 9\/6. Let c = g - -1. What is the nearest to c in -1\/4, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/51*51)\/(-17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-23)\/p*((p**(-9\/4)\/p)\/p)\/p)\/(p**(-1\/9)\/p**(3\/16)) assuming p is positive.\nAnswer: p**(-4169\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-45)\/5*(-3)\/3 and 106?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 9:41 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166275169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 6:22 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**5\/q**(-1\/2))**(-8))**(4\/9) assuming q is positive.\nAnswer: q**(-176\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (420\/(-16))\/7*8\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 14*a**2 + 19*a - 52. Let n be o(15). Suppose 687 + 793 = n*r. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/18 - 87\/(-27). Suppose -4*t = -l - 18, -4*l - h*t + 2 = -21. Let k be 2\/4 + (-3)\/3. Is k <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 r when three letters picked without replacement from {l: 1, r: 1, i: 3, w: 4, v: 6, k: 4}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28.6 + -12. Let a = 15.6 - u. What is the closest to a in 0.09, 0.1, 5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -4) + 0 - (-2 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4123655503?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 27 = 4*s + s - 59, -868*s + 871*s + 4*a = 36 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of g**5\/570 - 7*g**4\/228 + 2*g**3\/19 + 55*g**2\/2 + 57. Let x(m) be the second derivative of z(m). Find y such that x(y) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20324, -81165, -182524, -324401?\n\"Answer: -20259*b**2 - 64*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from mwbdmwdbmmnw?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zefuvefvzueztz. Give prob of sequence fzvu.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 3*i - 27. Let x(l) = 2*l**2 - 7*l - 55. Let w = 68 - 75. Let p(q) = w*m(q) + 3*x(q). What is the smallest common multiple of p(0) and 21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - m + 5*m - 20, 20 = -5*y + 4*m for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1557 by 173.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 + 35. Let t = 5 - z. Which is the closest to 1? (a) -0.1 (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.654, 2\/7, -0.2, 1, -2\/11?\nAnswer: -0.654","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548720.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + j + 0 + (0 + 0 + 2)*(-2*j + 1 - 1) - 4*j + j + 0*j)*(4 - 29 + 0)*(-j**2 + 0*j**2 + 2*j**2) to i*j**3 + k*j + z*j**2 + b and give i.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfbffcbffc. What is prob of picking 1 b and 1 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5116360 (base 7) to base 13\nAnswer: -184690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 7 - 21)*(-o**2 + 5*o**3 + 5*o**2 - 2*o**2).\nAnswer: 10*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21586 - -44388?\nAnswer: 65974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 31*a - 68. Let m be i(-2). What is the closest to -2\/3 in 2, -2\/9, m?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 13706*w. Let p(u) = -u. Give v(p(a)).\nAnswer: -13706*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 14*g**3 + 4*g**2 - 27*g + 18. Let o(f) = -5*f**3 - 2*f**2 + 9*f - 6. Let d = -475 + 486. Let t(u) = d*o(u) + 4*v(u). Determine t(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, -0.2, 0, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26\/3*(-2 - 14\/(-4)) and 11?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 227 and 6.\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qddddddd. What is prob of picking 1 q and 1 d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10838.664 months to years.\nAnswer: 903.222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -5*sqrt(171)*2 + sqrt(171) + sqrt(171) + sqrt(171) + sqrt(171) - sqrt(171))\/sqrt(9) + (sqrt(1539) - (sqrt(1539) + -5))**2 + -5.\nAnswer: -6*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338788?\nAnswer: 2, 84697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/5 (b) 96 (c) -0.2 (d) 16 (e) 10 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -10. Suppose -4*i - 394 = -2398. Is 4\/x - i\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 666, 657, 648?\nAnswer: 639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 6*w**2 - w - 6. Let r(n) = 2*n**3 - 13*n**2 - 2*n - 13. Let q(i) = 13*p(i) - 6*r(i). Calculate q(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-30)*3*88\/(-55))\/(-18).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 19488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -4\/9, 0.04, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26990347 and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 383, 1164, 2335, 3896, 5847, 8188, 10919?\nAnswer: 14040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.738 plus 23487?\nAnswer: 23385.262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from crmrcrmmrmcrcrr?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 30 = -7*t + 2*t, 5*u - 27 = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + 2*n - n)*(9*n**2 - 11 + 11)*(6 - 4 - 1)*(-3 - 7*n + 3) + 5*n**4 - 2 + 2 in the form q*n + s + g*n**3 + o*n**4 + k*n**2 and give o.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 174.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5671*r**3 - 1 + 1.\nAnswer: -5671*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 + 527. Let s(a) = 6*a**2. Determine x(s(h)).\nAnswer: 72*h**4 + 527","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12416806?\nAnswer: 2, 6208403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 15*m + 390 = 0. List the prime factors of ((84\/m)\/(-7))\/(4\/4520).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 14*u. Let z = 8 + -4. Find the first derivative of -6 + 0 + u - z*s**2 wrt s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 3, z: 11, d: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*g - 2*n - 0*n, -5*g = 5*n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1940 by -485.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*g**3 + 65*g**3 + 17*g**3 - 30*g**3 - 23 - 26*g**3.\nAnswer: 3*g**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -20578842 divided by 1\nAnswer: -20578842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((3 + (-64)\/(-12))*1)\/((-129)\/(-3999)*-93)\nAnswer: -25\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57491 + 80688. What are the prime factors of k?\nAnswer: 23197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.8 + -1.7. What is the smallest value in 0.3, 2\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2166 + -1094. List the prime factors of p.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 2*u = -3, 0*w + 5 = -5*w + 4*u for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of h**3\/3 - h**2\/2 + 75. Let m(s) = s**2 - 2*s. Let o(r) = -r**3 - r**2 - 2*r - 1. Let w be o(-1). Calculate w*m(z) - 4*n(z).\nAnswer: -3*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/27 - (-25909)\/(-117). Let p = z - -232. Does 16 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2. Let k(w) be the second derivative of w**4\/6 - 9*w. Give y(k(c)).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 2*h - 8 = -0*h, 0 = 3*i + h + 14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 480 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11, -25, -45, -71, -103?\n\"Answer: -3*k**2 - 5*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 58 - (48 + -55) - 21\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p. Let f(y) = 2*y**3 + 8*y**2 + 3*y + 1. Let o be f(-4). Let c = 10 + o. Let z(b) = -3*b - 1. Determine c*z(s) + 4*n(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 167, 5 in ascending order.\nAnswer: -3, 5, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 6174280\/175*1\/20 - (-4)\/(-50).\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77704173*n**3 + n**2 + n - 1639217 wrt n.\nAnswer: -466225038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(192)*1 - sqrt(3)).\nAnswer: sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 5*l - 435, 548 = 5*k + 6*l - 4*l. What is the highest common divisor of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*p - 17, 4*p = -3*m + 8*m + 11. Let y(k) = -k**3 - k. Let i(r) = -5*r**3 - 2*r**2 - 10*r. What is m*i(a) - 6*y(a)?\nAnswer: a**3 - 2*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6\/109 + -295\/3379. Suppose 6 = -5*f + 1. Which is smaller: j or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-11) + (-4)\/(-220). Let o = -0.8 - 1.2. What is the biggest value in o, 0, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 628.7151 - 628. What is g rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k - 131. Let i(d) = -d. Give 2*i(o) + w(o).\nAnswer: -3*o - 131","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a decade?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(2 + 1) - (-25 - -23). What is the third derivative of 5*l + 218*l**3 - 5*l + 1440*l**5 - 94*l**2 - 1438*l**p wrt l?\nAnswer: 120*l**2 + 1308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.3 (c) 64 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 0.4, -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*(-1)\/(-8)*-10. What is the nearest to 1 in g, 1\/4, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*-15*2\/16?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1936, 1937, 1938, 1939, 1940, 1941?\nAnswer: 1942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1245 is divided by (21\/(-14) + 7\/10)\/((-16)\/8240)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 2*x + 1. Let r = 15 + 0. Let m = 18 - r. List the prime factors of h(m).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 98*s + 3693. What is the smallest common multiple of v(-36) and 3465?\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.927846 micrograms to milligrams.\nAnswer: 0.006927846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 22\/7*v**3 + 1\/35*v**5 - 10\/21*v**4 - 31 + 2*v - 72\/7*v**2. Find q such that f(q) = 0.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 2:57 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -4 (b) 232384 (c) 3 (d) 2\/11 (e) -6\/7 (f) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 5:44 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(3) + -5)**2 + -4 + 3 + sqrt(3) - (sqrt(3) + (sqrt(75) + -3 + sqrt(75))**2 + sqrt(75) - (sqrt(108) + -2)).\nAnswer: -300 + 55*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6438544.2 milliseconds to hours.\nAnswer: 1.7884845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*w - 10, 7*p + 3*w - 10 = 8*p. Suppose m - p*m = 0. Solve m*y = -3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2005 + 810. List the prime factors of g.\nAnswer: 5, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 858 - 505. Let o = g - 404. Are -55 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167361299 - -7.45.\nAnswer: -167361291.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + k - k)*(4*k**2 - 1 + 1 + (-10*k + 14*k + 14*k)*(0*k - 5*k + 2*k)).\nAnswer: -50*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-4))\/(2\/(-4)). Let n(t) = -3*t**2 - 5*t - 6. Let r = 41 - 54. Let q = r - -9. Let h(y) = -2*y**2 - 4*y - 5. Give q*n(c) + v*h(c).\nAnswer: 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 6*z + 5*u + 49, -2*z + 16 = 5*u. Is 13 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 449*a**3\/3 - 46*a - 7. Let q(u) = -u. Determine v(q(o)).\nAnswer: -898*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -33089, -65686, -98281, -130874, -163465?\n\"Answer: s**2 - 32600*s - 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/8)\/(3\/4). Let q(n) = -n**3 - 3*n**2 - 4*n - 2. Let s = 91 - 92. Let l be q(s). Which is the third biggest value? (a) l (b) 21 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1418 + 2538. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 1)*(4*f**2 - 5*f**2 + 3*f**2) + (-2 - 2*f + 2)*(-19*f - 11*f - f + 0 - f + 0 + (1 + f - 1)*(1 + 0 + 1)) as h + o*f + y*f**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45*a*v**6 + 2*a*v**4 - 13*a*v**2 - v**5 + 5*v**2 wrt v.\nAnswer: 5400*a*v**3 + 48*a*v - 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 + 179*v + 1393. Determine a(-82).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5655678 - 5672240 = -169*p for p.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 28. What is the third derivative of 32*m**5 + 102*m**2 + 3 - o - 190*m**2 wrt m?\nAnswer: 1920*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 - 0.5. Let w = -244.2 - -244. What is the second smallest value in w, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 g when three letters picked without replacement from {l: 1, g: 2, m: 2, f: 14}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -l - 0 - 3, 0 = 2*l + y - 3. Suppose l = 2*s + s + 3*s. Let q be 2\/(-27) + (2 - 2). Is q at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*k = 6*j - 641, -3*j - k + 378 = 0. List the prime factors of j.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 4*k - 6. Let x = 7 - -3. Let h = -6 + x. Give r(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -13. Let r = 3.84358 - -0.15642. Which is the third biggest value? (a) -4 (b) g (c) r (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227751 to the power of 1\/2, to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - -8) + 2*2\/4. Let w be (i\/((-64)\/20))\/((-1)\/4). Which is bigger: w or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -40*g + 124. Let k be b(-13). Suppose 7*p - k = -16*p. Calculate the highest common factor of p and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 6. What is the remainder when 86\/7 + i\/(-28) is divided by (-3 + 5)*(-20)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15528 * -4.\nAnswer: -62112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 160831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42880971 to the nearest integer?\nAnswer: 6548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-28))\/((-86)\/344)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5094 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 60*o - 10. Let j(t) = 111*t - 18. Let z(b) = -18*c(b) + 10*j(b). Let m(l) = 6*l**2 - 5. What is m(z(s))?\nAnswer: 5400*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 2081202\/23 and 90488 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (4164\/(-8) - 4)*-2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**5 + 5836*c**4 - 29092*c**3 + 17412*c**2 + 52344*c = 0. What is c?\nAnswer: -1, 0, 3, 1454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 972.3517 decades to months.\nAnswer: 116682.204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172883 is divided by 613.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/8 + (-62)\/8. Let t = 59\/9 + h. Sort t, 1\/4, 5 in decreasing order.\nAnswer: 5, 1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -30, -29, -30, -33, -38?\n\"Answer: -t**2 + 4*t - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 157*k**5\/4 + 953*k**2\/2 - 565*k - 1. What is the first derivative of t(g) wrt g?\nAnswer: 2355*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54\/197 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20614 - -20650.001. Let q = j - 0.001. Let h = q - 35.999918. What is h rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*s**3 + s**3 - 5*s**3)*(-3*s - 11*s + 47*s) + 1387*s**3 - 1387*s**3 - 19*s**4)*(2*s + s - 2*s).\nAnswer: -52*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 6:11 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 19817 * -8\nAnswer: -158536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15469632 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 7*l**2 - 4*l - 15. Let g(s) = -11*s**2 + 6*s + 22. Let m(n) = -5*g(n) - 8*y(n). Let v be m(6). Is (-1 - 25)*161\/v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 33.7312496 and -81.\nAnswer: -47.2687504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2914032 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 168601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.7 and 12007\/277 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 2798, -3, 10, -1, 2\/7?\nAnswer: 2798","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 264*p**2 + 1918*p + 1. Give q(7).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18, -54, -112, -192, -294?\n\"Answer: -11*z**2 - 3*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.2 - 5.2. What is the smallest value in p, -0.5, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 123824 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -4. Suppose -2*i = 5*o - 56 - 5, 2*o + 80 = x*i. Solve 5*a + r = 0, a = 4*r + i + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 - (-8 + 1 - -11)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130 and 111605.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -77\/16021 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 28*r - 5*x - 78890 = 0, 2*x = 3*r - 47334. Is r a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**4 - 332*f**3 - 2 + 334*f**3 - 2*f**2 + 0 in the form d*f**2 + x + p*f + n*f**4 + a*f**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -1215050*h + 3645142. Give b(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*a - 2 + 2*a - 1 - 12*a**2 - 27*a**2.\nAnswer: -39*a**2 + 20*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60505\/82368 - 86\/117. Let r = 253\/192 - q. What is the common denominator of r and 101\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 3*h. Let n be r(-1). Suppose y = -n*c + 38, 2*y + 0*y + 4*c - 88 = 0. List the prime factors of 15\/y*622 - (-6)\/15.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 103*o - 1456. Determine y(14).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101074291.\nAnswer: 31, 97, 33613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 2408?\nAnswer: 4816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, y: 2, t: 6, m: 3}. What is prob of sequence jjt?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01757107064 rounded to five decimal places?\nAnswer: 0.01757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 - 29*h + 29*h)*(5*h**2 + 2*h**3 - 5*h**2) + (-1 + 2*h**3 + 1)*(-h + 3*h + 2*h)*(-4*h + 3*h - h).\nAnswer: -22*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**6\/60 + 3*h**5\/20 - 49*h**3\/6 - 33*h**2 + 1. What is the first derivative of v(s) wrt s?\nAnswer: -6*s**2 + 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2984\/(-2238))\/(12\/(-14))?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgggq. What is prob of picking 1 g and 1 q?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 8:43 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q + 5*l = 15, -l = -2*q - 3. What is the nearest to q in -14, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/8)\/((-2)\/(-1166952)). Let a = 188738 - f. What is a rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 79*x**2 + 6*x - 38. Is b(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**5\/10 + p**4\/3 - p**3\/3 - 2*p**2 + 3*p + 7. Let m(t) be the first derivative of u(t). Let m(g) = 0. Calculate g.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 54 = 6*i. Let r be (10 - -1) + -5 + i. Let s = 10 - -3. Which is greater: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120512290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7 + 23*w + 8*w - w**2 - 25*w**5 + 7 + 2 - 29*w wrt w.\nAnswer: -500*w**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 2 = 4*z + 14, 0 = -5*z - 3*v + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is a764 (base 13) in base 3?\nAnswer: 1011212120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 - 53. Calculate the smallest common multiple of 60\/(1 + -5)*o\/6 and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -6*f - 3. Suppose -16 = -4*w + 3*t, -t - 2 + 22 = 5*w. Suppose 3*v = -v - 4*r + 16, 4*v - 24 = w*r. Let l(z) = -z. Give v*l(j) - n(j).\nAnswer: j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47.51 + -48.41. Does f = -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3. Let p(v) = -v**2 - 5*v + 51. Let r be p(5). Let y(m) = -1785*m**3 - r + 1778*m**3 + 1. Calculate -40*f(a) + 5*y(a).\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 2*k - 50. Suppose 24 = 4*r, 130*y - 129*y + 4*r - 16 = 0. Determine w(y).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19884, -7, 3 in decreasing order.\nAnswer: 3, -7, -19884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -246, -465, -682, -897?\n\"Answer: q**2 - 222*q - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-861)\/(-6))\/(15393\/1466).\nAnswer: 41\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.000046 - -16. Round k to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-10))\/(2\/(-5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201891 is divided by 75.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3*3)\/((-12)\/8). Suppose -4 = f - p. Suppose -46 = f*t - 4*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.144 - 0.044. Which is greater: 1\/2 or n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1588 + -1103. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1241?\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 10. Let d be ((-8)\/(-12))\/(c\/9). Is -1095*d\/(-3)*-1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.682 + -0.198. Let a = o - -0.08. What is a rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 7*o**5\/5 - 6*o - 10. What is the first derivative of y(f) wrt f?\nAnswer: 28*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - h**2 - h + 2. Suppose 0 = -6*y - 0*y - 18. Let c be (-3 - y)*6\/12. What is z(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2 - 23 = 0. Let z(q) be the second derivative of 0*q**3 + 0 + 0*q**2 - h*q + 1\/78*q**4. Determine y so that z(y) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -323 (base 11) in base 10?\nAnswer: -388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(1100) + -1)*-3 + 5)**2 - (-2 + sqrt(1100) + 0 + sqrt(1100) + 5))*2.\nAnswer: -1000*sqrt(11) + 19922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 88*q - 12 - 5.\nAnswer: 88*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zbbibbzz. What is prob of picking 3 b and 1 z?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3537 and 86329.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404711474 to the power of 1\/2, to the nearest integer?\nAnswer: 37479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 71405 to the power of 1\/2, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11a94 (base 13) to base 10\nAnswer: 32569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-16))\/((147\/8)\/(-7)). What is the nearest to w in -5, 0, -5\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -62, -44, -8, 52?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1087, 680, -1221, -4616?\nAnswer: -9505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4544 = -3*g, 3041 = 2*g + 7*q - 4*q. Suppose -g = 3*t + z, 5*t - 5*z + z = -2516. Round t to the nearest ten.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in 6, -2, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v**4 - 600*v**3 + 8*v + 552 wrt v.\nAnswer: -24*v**2 - 3600*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 60 = 3*a - 407, 0 = 3*a + 3*r - 339. Let w = a + -104. What is the greatest common divisor of w and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 190412, 380842, 571284, 761744, 952228, 1142742, 1333292, 1523884?\n\"Answer: z**3 + 190423*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.935479t to kilograms.\nAnswer: 1935.479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4133864 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*l + 6324 = -188*l + 2229 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 8. Suppose 0 = -m*g + 2*g. Solve g = 3*u + 3*z + 9, 2*u + 1 = -5*z - 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -708*j + 2. Let u(m) = 109*m - 6. Let q(b) = -289*b + 16. Let p(c) = 3*q(c) + 8*u(c). What is v(p(n))?\nAnswer: -3540*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -2.4 (b) -1.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-182)\/(-195)*(-330)\/(-693)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 > 145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**2 + t - t**3 + 2*t**2 + 0*t + (0 + 0 - 3*t)*(-t**2 + 2*t**2 + t**2).\nAnswer: -7*t**3 - 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**5\/p**15*p**(2\/7)*p*p\/p**(20\/7)*p assuming p is positive.\nAnswer: p**(-67\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-48)\/(-20) + 6\/10. Suppose 4*s + 0*s = k - 12, x*k - 3*s = 18. Let p(j) = -2*j + 27. Is 3 a factor of p(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.67 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of g**4\/4 + 8*g**3\/3 - g**2\/2 - g - 3. What is t(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -132 - -134. Solve 5 = -5*g + 4*k, -j*k = -9 - 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.5 + -15. Let k = u + 0.49999991. What is k rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*t*x - t*y**3 - 18165*x*y**2 - 2265*x*y wrt y?\nAnswer: -6*t*y - 36330*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, -1\/3, -4, -0.5, 59, 5?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2415)\/1764 - 136\/(-3808)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1470104.1 times -0.4?\nAnswer: 588041.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 280*x. Let n(p) = p**2 - 6*p - 3. Let b(h) = h**2 - 2*h - 1. Let q(v) = 3*b(v) - n(v). Calculate m(q(t)).\nAnswer: 560*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1262.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0. Let f = -10959 - -109591\/10. What is the nearest to w in 1\/7, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/12*(34 - (-3465)\/(-90)))\/(78\/40)?\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 101 = j. Let g = j + -44. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 26. Let f be y(0). Let m = 49 - f. Calculate the highest common divisor of m and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*h**4 - 592*h**3 + 7020*h**2 - 6*h.\nAnswer: -168*h - 3552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 206*z - 442 - 176. Factor -d**2 - 5\/3*d + 5\/3*d**z + 4\/3 - 1\/3*d**4.\nAnswer: -(d - 4)*(d - 1)**2*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15370?\nAnswer: 2, 5, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**5\/180 + n**4\/12 + 4*n**3\/9 + 111*n**2\/2 - 59. Let z(p) be the second derivative of o(p). What is g in z(g) = 0?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1363 - -2428. Suppose -2*t + g = -3*g + 2122, -t - u = -3*g. Let k be t\/3 - (-3 + 8). Round k to the nearest 10.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6566, 6560, 6550, 6536, 6518, 6496, 6470?\nAnswer: 6440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 9. Let z = -4 - -2. Let u = z - 2. Which is smaller: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhyyhhjjyyhhdjyyhj. Give prob of sequence jdh.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 3.4. Let b = -907696 - -907695.399967. Let n = z + b. Round n to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5962 divided by 22\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4\/3 - 202052*f**3\/3 - 5099285906*f**2\/3 + 64663913872*f - 614538247776 = 0. What is f?\nAnswer: -50532, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (563 - 536 + 2*q - 3*q)*(4 + 16 + 6)*(-1 - 2*q + 1) as h*q + k*q**2 + b and give h.\nAnswer: -1404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 13264 times 0.01891\nAnswer: 250.82224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u - 7. Let g(k) be the second derivative of 2*k**3\/3 - 3*k**2 - 47*k. Suppose 30 = -4*w - 2*o, o - 6*o = w + 12. Give w*g(y) + 6*m(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -413*y + 390*y + 60. Solve -y*o - j + 12 = 0, 0 = 45*j - 41*j - 24 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + 0. Let w(q) = -q**2 + 6*q + 2. Let y be w(d). Suppose y*k + 0*k - 46 = 0. Calculate the remainder when k is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6095 or 85313\/14?\nAnswer: 85313\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**32))\/z**5 assuming z is positive.\nAnswer: z**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-758)\/4169)\/(3\/66).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6515 less than -0.1?\nAnswer: 6514.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101 (base 2) to base 12.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -2393341.\nAnswer: 9573364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 355 - -97. Suppose 2962 = 376*x + 18002. Let s be w\/590 + x\/50. What is the nearest to -0.2 in s, 2, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1354 - 1349. Solve 4*p + 2*k + 5 = 23, t*p = 4*k - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2. Let k(a) = -157686*a + 1. What is k(t(g))?\nAnswer: 157686*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -15 - 33. Calculate the remainder when 30 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85891606.\nAnswer: 2, 197, 277, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -188 + 158. Let q be 30\/2*(-124)\/6. Find the common denominator of -53\/6 and (-1 - 0)\/(h\/q).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10, -134, -474, -1138, -2234?\n\"Answer: -18*g**3 + 2*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25500277 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -12*i**5 + 1198*i**4 - 37666*i**3\/3 - 219470*i**2\/3 - 42106*i\/3 + 45356 = 0.\nAnswer: -23\/6, -1, 2\/3, 17, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*g**2 - 734574*g\/5 - 26712\/5.\nAnswer: 3*(g - 4452)*(55*g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1126, 1475, 1804, 2113, 2402, 2671?\nAnswer: 2920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 - -63. Find the third derivative of 2*m**c + 21*m**3 - 18*m + 18*m + 5*m**2 wrt m.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/10 of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15874 - 0.4127185554.\nAnswer: 15873.5872814446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-25)\/(-10))\/(21\/(-24) + 1). Let t = k - 5. What is the third derivative of -13*w**5 + w**5 - 8*w**5 - w**5 - t*w**2 wrt w?\nAnswer: -1260*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddggddddddggddgd. Give prob of picking 3 d.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -129.8183 to 1 dp.\nAnswer: -129.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*q**2*s*z**2 + q**2*s*z - 39*q**2*s - 72*q**2 + q*s**2*z**2 + s**2*z + 21*s**2 + 455*s*z**2 - 3*s*z wrt z.\nAnswer: -96*q**2*s + 2*q*s**2 + 910*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 11:09 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 311332311 + 3?\nAnswer: 311332320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1742\/1560 + (-300)\/250?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*j + 22*j - 4 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 68, 123, 188, 257?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -3 (b) 1 (c) -2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 419758, 837579, 1255400?\n\"Answer: 417821*o + 1937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u + 107. Let i be g(5). Calculate the greatest common factor of i and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 89*c**4\/24 + c**3\/2 - c**2. Let m be k(-7). What is m rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 10*j + 1. Let s be c(7). Suppose -h = -x + 34, -2*x = h + 3*x + 22. Let z = s - h. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -9*n**3 - n**2 - 5*n - 7. Let a(w) = -5*w**3 - 3*w - 3. Let m(v) = 5*a(v) - 3*f(v). Let k(j) = j**2 + 1. Let p(l) = -5*k(l) + m(l). What is p(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**4\/24 + s**3\/2 + 22*s**2 - 2*s. Let g = 4 + -1. Let a(m) = -g + 1 + 4. Determine -3*a(t) + 2*f(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -12*y**2 + y - 2. Let o = -12 + 13. Let m be z(o). Which is smaller: m or -180\/13?\nAnswer: -180\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1))**(-17\/4))**(-1\/2))**(-39) assuming o is positive.\nAnswer: o**(663\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) 0.02 (c) -2\/11 (d) -11\/37 (e) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f**2. Let n be v(-1). Suppose 0 = n*w + 3*o - 215 - 384, w + 3*o = 152. Calculate the remainder when w is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2026, -2, -19 in increasing order.\nAnswer: -2026, -19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*n - 64. What is the tens digit of n - (3 - 4 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1597 is divided by 57.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/6*((0 - -1123) + 2). Let k(f) = b - 3*f - 744 + 0*f. Let d(i) = -i**3 - 10*i**2 + 10*i - 7. Let x be d(-11). Determine k(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 0, -7, -26, -63?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -370 and 278352895.\nAnswer: 278352525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mijmjjmmejjmejjejjjj. Give prob of sequence eei.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (11\/(11\/(-1)))\/((-2)\/(16\/4)). Solve 0 = -2*s - n*d - 6, -24*d + 22*d - 6 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -328*v**2 - 17900*v - 43891. What is m(-52)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f = 4*x + 4*f - 6, 0 = -5*x - 5*f - 30. Which is the smallest value? (a) 0.0666 (b) x (c) 4\/9 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 2*g - 4. Let t be u(-4). Suppose -6 = -3*m - 0. Solve 0*n + m*n - t = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97664 (base 12) to base 4\nAnswer: -300233230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10797815 + -28515740. Let o = -17717908.9999934 - t. Let j = o + -16. What is j rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (28\/105)\/((-150)\/375). Sort n, 3, -1982.\nAnswer: -1982, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 169771424*l**2*m - 566*l*m - 3*l + m + 62844 wrt l.\nAnswer: 339542848*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1331 + 1346. Let t be (-5)\/(30\/(-8))*45. Calculate the highest common factor of t and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*v - 25, 2*v = -7*a + 3*a + 20. What is the nearest to v in -0.5, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150370, -150376, -150382?\nAnswer: -150388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 6:14 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -208, -537, -1106, -2035, -3444?\n\"Answer: -20*y**3 - 189*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 170*f**3 - 108*f**4 + 107*f**4 + 2*f - 172*f**3 - 1 to the form a*f**4 + z*f + x*f**2 + l*f**3 + h and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1332)\/(-1665)*(615\/12)\/(-5) - -6.\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -92996 to the nearest 1000.\nAnswer: -93000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -95, -373, -805, -1343, -1939, -2545, -3113?\n\"Answer: 8*x**3 - 125*x**2 + 41*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 1:59 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-13))\/(-1) + (-37)\/(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 585 = 7*p - 2*p. Let b = 261 - p. Let i be (32\/(-5))\/(10\/(-25)). Calculate the highest common divisor of b and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 2*t - 67*t**2.\nAnswer: -67*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014063 rounded to 5 decimal places?\nAnswer: 0.00141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 15. Suppose -2*j - x + 10 = 0, -i*j + 4*x + 8 = -0*x. Solve -s + 14 = j*l, 3*s - 14 = 3*l - 8*l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 71.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17 (b) -1\/3 (c) 0.1 (d) -0.6 (e) 4 (f) -0.12\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1859133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16136699977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-5) - 1\/1. Let p = -1.27 + 0.27. What is the third smallest value in p, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1179 + -1170. Solve -5*r - 2*a + 3 = 0, 0 = 2*r - r - 2*a + s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 11*n + 45. Let z(j) = 5*j + 22. Let q(l) = 6*v(l) - 11*z(l). Let r be q(13). Suppose 431 = 5*w - 4*f, f = 2*w - 2*f - r. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 87564.68 years?\nAnswer: 875.6468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w - 19*w + 12 = -4*l, -2*w + 48 = 4*l. Calculate the remainder when 56 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 14*t - 2*t**3 - 1 - 2*t**2 + 6 as v*t**3 + r + h*t**2 + a*t and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*h + f - 3, -578*f + 13 = 3*h - 582*f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence np when two letters picked without replacement from {l: 3, p: 1, n: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 279807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 539.75.\nAnswer: -53.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1206 and 11926.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 87*p + 665. Calculate s(-9).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1436, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -68.432 minus 4?\nAnswer: -72.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03482612 + -1.66517828. Let s = -45 - -46.7. Let u = s + l. What is u rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3611, 14497, 32641, 58043, 90703, 130621, 177797?\n\"Answer: 3629*g**2 - g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in seconds?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23679149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1131\/4 + 7909\/28. What is the second biggest value in p, 3, -3\/17, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r**2 + 34*r - 50. Let m be h(2). Let u(k) be the first derivative of -m*k**3 + 4*k**2 - 1\/4*k**4 + 0*k + 8. Calculate u(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) - (6*(sqrt(208)*-1 + sqrt(208)) + sqrt(208)))*6 - ((-1 + sqrt(13))*-4 - sqrt(13) - (sqrt(13) + -1 + 1))*6.\nAnswer: -24 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -518 * 157.2.\nAnswer: -81429.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5202506 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((sqrt(396) + 3 - sqrt(396)) + 5 - sqrt(396)) - 6*(sqrt(396) + -3)*-4)*-5)**2.\nAnswer: -240000*sqrt(11) + 4000000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.81439 + 120.35161. Let q = -0.166 + s. Let t = -120.96 + q. Which is the smallest value? (a) -5 (b) 1 (c) t (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1658\/303883 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/6, -3, -61, 5\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -85 + 26. Let g = -59 - a. Suppose -z + 4*o + 14 = z, g = 5*z + 5*o - 5. Solve h = r - 8, 2*h + r - 2 + z = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 16 - 145 = -3*j, 5*j + 20 = 0. Let i = w + -158. Suppose -5*c + 18 = -37. What is the remainder when i is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6*r. Let j(k) be the third derivative of k**8\/10080 - k**5\/60 - 2*k**2. Let w(a) be the third derivative of j(a). Determine w(y(b)).\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 1262*d**2 + 10*d + 4. Let n(l) = -1263*l**2 - 8*l - 3. What is 4*f(j) + 5*n(j)?\nAnswer: -1267*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -176?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -14589 at least -571.87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -330 (base 4) in base 6?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28417.032591 + 28417. Round z to 3 decimal places.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.074902 rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1554 + -22222044?\nAnswer: -22224042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*i + 9. Let b be ((-3)\/i)\/((-3)\/15). Let h(v) = 7*v + 1. What is the remainder when h(b) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 1)*(0 - 0). Let u(x) = 2*x**2 - 44*x + 30. Let b be u(20). Let m = b - -55. Solve -m*h - 3*f = 13, z = 3*h + f + 6 + 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*t = -539*t + 81*t + 45*t - 9741 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r + r + 6*r)*(-206 - 31 + 111) to the form m*r + p and give m.\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 203 - 9. Suppose 2*w = -a + 318, 3*a - d - 760 = w. Suppose -p + 120 = -5*l, -2*p - p + l + a = 0. What are the prime factors of p?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.079 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*(sqrt(325) + -2 + -4 + 3)*-3.\nAnswer: -30*sqrt(13) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 10 = 5*d, 3*d + 4*k + 4 = -4. Solve d*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/22 and -83\/165.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 22*u**2 - 2*u - 23. Calculate a(-9).\nAnswer: 1777","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 4:37 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28.79*-310.3.\nAnswer: 8933.537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/j**5*j)**41*(j**(7\/5)*j)\/((((j**11\/j*j)\/j)\/j)\/j) assuming j is positive.\nAnswer: j**(-233\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266691461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1223, -2560, -3897, -5234, -6571, -7908?\nAnswer: -9245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 100 - 30 = 0. Let p = c + 19. Suppose 0 = -3*q - 16 - p. Let o(k) = k**2 + 7*k - 6. Give o(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32711, 31948, 31185, 30422, 29659?\nAnswer: 28896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w. Let v be u(-7). Suppose 0 = 4*m + 19 + v. Let g = m - -7. What is the second smallest value in g, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 14 = 2*t - 2*x, 4*t - 3*x = 30. Let q(s) = s**2 + 10*s + 20. Let f be q(-8). Let c = t - f. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1810105723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -517641, -1035165, -1552689?\n\"Answer: -517524*q - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q**2 + 3. Let z(j) = -14*j**2. Determine m(z(f)).\nAnswer: -980*f**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 7:34 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 271824870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 6*i + 5. Let f be n(7). Let r be f\/(((-6)\/8)\/3). Let h = r + -5. Solve -4*a + 0*a + 5*m - 3 = 0, -m = -2*a + h for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3459?\nAnswer: 3, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 0*z**4 + 0*z**3 + 0*z**2 - 1\/2*z**6 + 0*z - 3 + 6\/5*z**5. Suppose u(v) = 0. What is v?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1920 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -233, -440, -655, -884, -1133, -1408?\n\"Answer: -z**3 + 2*z**2 - 206*z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 215*m*o**2 - 7*m*o - 4*m + 1 wrt o.\nAnswer: 430*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.0915159 rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k - 20. Let b be l(-5). Let x(y) = -5*y + 5*y**3 - 1 + b*y - 4*y - 4*y**3. Determine x(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78 divided by 406243\nAnswer: 78\/406243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcj. What is prob of sequence rc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -6 - (1 + (4 - 2 - 4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 - (29 - 86) - (4 - 0).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -176*l**4\/5 - 6014296*l**3\/5 - 820107*l**2\/5 + 717616*l\/5 + 136688\/5 = 0. Calculate l.\nAnswer: -34172, -1\/4, 4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**2\/3 - 25*o\/3 = 0?\nAnswer: 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 86.83873 years?\nAnswer: 1042.06476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2, -1, 0 in ascending order.\nAnswer: -2, -1, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -3, -0.021?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160897 is divided by 453?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.167281448 and 0.5.\nAnswer: -0.083640724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d*d**(-2)))**2)**36*(d**(-7)*d**4)\/(((d**(-1\/2)*d)\/d*d)\/d)**(-1\/3) assuming d is positive.\nAnswer: d**(413\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4*f**2\/3 - 40224*f + 16241872\/3 = 0.\nAnswer: -30302, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/48*(-104)\/(-39)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwww when four letters picked without replacement from wvxxxwvxvvxxw?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 = -5*o + 5*q, 249 = -7*q + 228 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -11. Sort 3, r, 0 in increasing order.\nAnswer: 0, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0266379267 to four dps.\nAnswer: -0.0266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {a: 9, d: 1, q: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 484*p**2 - 3*p + 2*p - p - 474*p**2.\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven halves of a day?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14862, -29726, -44588, -59448, -74306, -89162, -104016?\n\"Answer: k**2 - 14867*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -90520341 take away 33426?\nAnswer: -90553767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5 - 5*m**4 + 8*m**3 - 4*m**2.\nAnswer: m**2*(m - 2)**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4806 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47081?\nAnswer: 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2688 * -0.4.\nAnswer: 0.10752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 2. Let x = s - -5. What is the smallest value in -3\/5, x, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + -5 - (11 + -12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18124269 to the nearest integer?\nAnswer: 4257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i - 6 + 32 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 2*w**3\/3 - 43*w. Let t(a) = 9*a - 1. What is -5*o(g) + 2*t(g)?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -10*z. Let r(j) = -33 + 3*j + 33. Give t(r(g)).\nAnswer: -30*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24847580*i**2 - 102694054*i?\nAnswer: -49695160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 524 = 5*v + 4*t, -8 = -178*t + 180*t. Calculate the greatest common divisor of 78 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 8. Let a(p) = -5*p + 5. Let q(h) = -7 - 4*h - 5 + 16. Let c(f) = -5*a(f) + 6*q(f). Determine c(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 9. Let v = 3 + o. What are the prime factors of (-1)\/1*(3 - v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11439473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44045?\nAnswer: 5, 23, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34538172529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**4 + 2080*y**3 + 271824*y**2 + 1062464*y + 1054208 = 0 for y.\nAnswer: -284, -232, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 + 0)*(-3 + g**3 + 3) to the form l*g + m + w*g**3 + y*g**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 - 60. Let a = -5 - -8.4. Let r = a - 3. Put u, 4, r in descending order.\nAnswer: u, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83851 divided by 508\nAnswer: -83851\/508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w**4\/12 + 17*w**2\/2 + 17*w. Let g(m) = -2*m**2. Give g(j(a)).\nAnswer: -2*a**4 + 68*a**2 - 578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - 0. Is p smaller than 0.18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 8:39 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -721 - -230. Let v = s + 498. What is the smallest value in -2\/7, 0.8, v, -2\/13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*f + 2206, 58*x - 62*x - 2205 = -3*f. Let a be 6\/10 - (8 + x\/30). Let y(m) = m**2 - 12*m + 17. Give y(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4245.2+172.820958\nAnswer: 4418.020958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2. Suppose -3*r - z + 2 = 0, -4*r = 5*z - 38 + 28. Let v(s) be the third derivative of 0*s**3 + 0 + r*s + 1\/6*s**4 + 5*s**2. Determine o(v(m)).\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 466 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4417540394.\nAnswer: 2, 19, 59, 103703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 a when four letters picked without replacement from baabaaaaaaabaaa.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.6 - 0.6. Let j(y) = -y**3 - 7*y**2 + 44*y - 32. Let r be j(-11). Which is bigger: r or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z**2 + 4*z**2 + 2*z**2)*(2*z - 4*z + 15 + 1).\nAnswer: 2*z**3 - 16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106081500 divided by -12.\nAnswer: -8840125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v - 319*v**3 - 233*v**3 + 141*v**3.\nAnswer: -411*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of 205*j**2 + 0*j + 0*j**5 - 1\/420*j**6 + 0*j**3 + 0 + 1\/21*j**4. Factor l(r).\nAnswer: -2*r*(r - 2)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30669\/38 - -807. Which is the second biggest value? (a) g (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**4 - 662475*q**3 - 36573754161*q**2 - 109715300289*q = 0.\nAnswer: -110411, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 520\/3*k + 4\/3*k**3 + 84*k**2.\nAnswer: 4*k*(k - 2)*(k + 65)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -312, 198 in decreasing order.\nAnswer: 198, 18, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(r + 3 - 3) - 13*r - 22 + 14*r + 18*r.\nAnswer: 18*r - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68 + 42. What are the prime factors of v\/2*-3 + -3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3107 and 24139?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*n + 17, -12 = z + 3*z - 4*n. Let s(c) = 4*c**2 + c + 2. What is the remainder when -2 + 47 - z\/(-2) is divided by s(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-25)*0 + 2. Suppose 0*i + 2*i - k = 0, i - 52 = 3*y. Let u(j) = j**3 + 16*j**2 - 19*j + 18. What is the units digit of u(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + v - 4. Suppose 0 = -b + 2*b - 11. Let x = 25 - b. What is the remainder when p(3) is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 5*u + 2. Let p(z) = z**2 + z - 24. Let a be p(7). Let v = 29 - a. What is s(v)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2407 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 958049 + -661656. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -12, -19, -30, -45, -64, -87?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5941222*g + 11882439*g - 5941217*g + 3*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -22900 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqr when three letters picked without replacement from {i: 10, k: 1, p: 7, r: 1, q: 1}.\nAnswer: 1\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 106671 - 93101 = -5*v, -2*z = -10*v + 399556. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19888, 39795, 59728, 79699, 99720, 119803?\n\"Answer: 2*v**3 + v**2 + 19890*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80102.3 - -80105.3. Let w = -0.261 - -4.251. Let u = -0.01 - w. Which is the third smallest value? (a) i (b) 0.2 (c) u (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -2*r**6\/5 - 11*r**5\/10 - 1511*r**4\/6 - 17*r + 1. Find the third derivative of o(v) wrt v.\nAnswer: -288*v - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-6)*11\/((-715)\/598) - -7\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14359753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 8*c + 3. Suppose -360*b = -359*b + 6. What is f(b)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/sqrt(2)*-1 - sqrt(57))\/(sqrt(75)*-1).\nAnswer: 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 5*o + 30, 0 = 2*d - 3*d + 4*o + 36 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 1 - 2)*(-2*a + 0*a + a) + (-5 - 4*a + 5)*(2 + 1 - 4))*(-3 + 0 + 0)*(0 + 0 + 1) to the form o*a + b and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*l + 5*p, 7*l + 4*p - 8 = 3*l. Suppose b = 4*j - j - 11, j - 3 = l. Put -3, b, -5, 7 in ascending order.\nAnswer: -5, -3, b, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25292183*x**2 + 5*x + 789999?\nAnswer: -50584366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1225*n + 1070*n + 1045*n to the form v*n + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 577?\nAnswer: -575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**2\/3 + 898*q\/3 + 201601\/3 = 0?\nAnswer: -449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -198306 and -40860.\nAnswer: -239166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138618326?\nAnswer: 2, 7, 11, 43, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 2*(-2)\/(8\/(-36))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*b**3 + 36*b - 17*b - 6*b - 14*b - b**3 - 19 in the form y + k*b**2 + v*b**3 + u*b and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5883614 or -5883617?\nAnswer: -5883617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066 a factor of 3335514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 63 - 3*n**3 - 372*n + n**3 - 6*n**3 + n**2 + 371*n in the form b*n**3 + f + l*n + o*n**2 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b**2 + 4*b - 10*b**2 - 1 - 3 + 4*b**2. Let g(n) = 3*n**2 - n + 1. Calculate -18*g(y) - 4*w(y).\nAnswer: -2*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 751, 3097, 7007, 12481, 19519?\n\"Answer: 782*f**2 - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 9 + 75. Let y be 1\/(-3) - w\/6. Let g(d) = -d**3 - 4*d**2 + 2*d - 3. What is the units digit of g(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26893091?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 2\/3, -0.0292, -3\/2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) - sqrt(420)\/sqrt(7))*-1)\/(-5*sqrt(108)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 1101*w + 2 - 553*w - 550*w. Let c = -21 - -15. Give f(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 384 - 351. Solve 9*p + 3 = -k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -124 and 216732691?\nAnswer: 216732815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22135044?\nAnswer: 2, 3, 883, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 12:58 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -61*t - 2. Let q(n) = 2*n**2 - 16*n + 19. Let y be q(6). What is the hundreds digit of s(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(84) + sqrt(84) + 1*sqrt(84)) - (sqrt(84) + (-2*sqrt(84)*5 - sqrt(84))))\/(((sqrt(96) + (sqrt(96) - (sqrt(96) + sqrt(96)*-1)))*-1)\/sqrt(8)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 358997.9039872 + -359002. Let u = -4.176 - m. Let s = u + 0.08. What is s rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.252535 + -0.3?\nAnswer: -2.552535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqw when three letters picked without replacement from {m: 2, w: 4, q: 8}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from kkppppddkkdppdpddpkd.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -819660 by -30.\nAnswer: 27322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.22? (a) -0.5 (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - d - 1. Let u be y(2). Let c = u - 3. Let p = -3.3 - 1.7. What is the second smallest value in c, p, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-268)\/(-6) + 16\/48 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: f (base 16) to base 2\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**4\/6 - 13*k**3\/2 + 467*k**2\/2 + 585*k. Differentiate s(t) with respect to t.\nAnswer: 4*t - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 145*u + 2190 = 0 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4090 + -2140. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ababaabaaa. Give prob of sequence aba.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -13*o - 507. Let d be g(-40). Solve -5*j = -5*w + 5, 2*w - 7*w - 3*j + d = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -2)*(-5)\/25. Which is the closest to -0.1? (a) -1\/5 (b) 0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*q - 15 = 0, -s + 2*q + 5 = -4. Suppose -14*m = s*m - 17. Let b be (-26)\/(-114) - 3\/9. Which is smaller: m or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 535 = 2*k, 5*x + 15*k = 10*k + 2630. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 485475 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -14*n**2 + 20103*n - 22. Let z(t) = -5*t**2 + 6700*t - 8. Determine -4*h(a) + 11*z(a).\nAnswer: a**2 - 6712*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/39)\/(-58*71\/(-4118))?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(35)*-4)\/sqrt(7).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -2001.\nAnswer: 16\/2001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**5\/3 - 88*d**4 + 4460*d**3\/3 - 3160*d**2\/3 - 5968*d + 16864\/3 = 0. Calculate d.\nAnswer: -2, 1, 2, 31, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.21 - -0.256. Let v = u + -0.103. Round v to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*m = 35, 20 = 80*m - 76*m. Sort 258, p, 5, 1, 0.\nAnswer: p, 0, 1, 5, 258","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51 - 50.999816. Round d to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 16 = -y, 5*y + 37 = -5*m + 17 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*-1*sqrt(2299))**2.\nAnswer: 9194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 5:51 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1764) - -2*(sqrt(1764) - (sqrt(1764)*2 + sqrt(1764)))))\/((1*sqrt(120) - sqrt(120))\/sqrt(10) + (-2*sqrt(60) - sqrt(60))\/sqrt(5)).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 5, -65, -1.3, 0.\nAnswer: -65, -1.3, 0, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 9. Let d(b) = -b**2 + 14*b - 6. Let k be d(13). Let v = k - 5. Calculate the least common multiple of u and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*q = 126*q + 364. Let w = -22 + q. Is 312892\/w + 2\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 84165550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/5)\/((-3)\/(-3)). Let l = 8 - 7.84. Let a = l + 0.04. Sort a, -0.3, y.\nAnswer: y, -0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ziwt when four letters picked without replacement from {i: 2, t: 1, j: 5, z: 2, w: 4}?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 3. Let o = 541 + -545. Sort 3, z, 2, o in descending order.\nAnswer: 3, 2, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/305)\/((-2*1)\/(-2)). Let g(z) be the third derivative of 0*z + 1\/90*z**4 + 21*z**2 + 1\/450*z**5 + i + 1\/45*z**3. What is y in g(y) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 215*q**2 - 423*q - 639.\nAnswer: -(q - 213)*(q - 3)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1244, -2373, -3430, -4379, -5184, -5809, -6218, -6375?\nAnswer: -6244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.8 (b) 0.04 (c) 1 (d) -59 (e) 1\/2 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -p - 2*w, -5*p + 4*w + 93 = 7*w. Suppose 0 = p*j - 3*j - 150. Solve 5*z = 5*k + 25, 3*z = z + j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29134 and 2?\nAnswer: 58268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/86 + (-200)\/2. Let d = 110 + k. Calculate the highest common factor of 20 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -19. Solve -2*d + 6 - 2 = l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 455 in -15, 58, -2\/3, 3\/4, 1.5?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178925?\nAnswer: 5, 17, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 8034.9003 nanoseconds?\nAnswer: 0.00000000009299653125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4412936657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156.1354mm to nanometers.\nAnswer: 156135400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -2) + -3 - 108\/(-26)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -995028 != -995026?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 1111111010010101111000?\nAnswer: -1111111010010101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51 and 6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -3. Let o be 2\/(-3) + 10\/k. Suppose -2*g = -o*g. Solve 2*c - 5*c - 9 = g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2334974617?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345598.\nAnswer: 2, 11, 23, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -5*d**4\/4 - 65*d**3\/3 - 120*d**2 - 180*d - 176. Determine v, given that p(v) = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 7:25 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 13*o + 44. Let j be a(-6). Let y = -8 - j. Calculate the remainder when y is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1054726, -1054728, -1054730, -1054732, -1054734, -1054736?\n\"Answer: -2*j - 1054724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4602)\/4680*12*5?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - 8. Let t = 31 - w. Suppose -5*k - 29 = 3*z + 47, -t*z = 2*k + 22. Which is smaller: k or -16?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 25*p**2 + 114*p + 73. Determine u(29).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -286*q + 61. Let x be u(-11). Let h = x + -1908. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2\/15, 1\/5, -17\/4, -1?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n - 1. Let h(d) = -d**2 - 14*d + 4. Let b be h(-14). Suppose u - 2 = -2*p - u, 13 = b*p + u. Let g(f) = -5*f + 1. Give p*g(t) + 3*x(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l**4 - 5*l**3 + 5*l**2 - 7*l + 5. Let c(j) = -j**3 + j**2 + 1. Let t(h) = -15*c(h) + 3*u(h). What is the second derivative of t(m) wrt m?\nAnswer: -108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 310509.\nAnswer: -1, 5, 310509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -511 - -515. Let v(u) be the second derivative of 1\/80*u**5 - 1\/3*u**m + 0*u**2 + 0 + 8\/3*u**3 - 10*u. Solve v(z) = 0 for z.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 0)*(-42*l + 24*l - 38*l) in the form i + n*l and give n.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from ypyppppppuypy.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 65134.22ug in kilograms?\nAnswer: 0.00006513422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -2. Let r(b) = b + 4. Let a(p) = 12 + 3*p + 4*p - 4*p. Let y(g) = l*a(g) + 11*r(g). Determine y(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142541500 rounded to the nearest one million?\nAnswer: 143000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2 = 3*g - 16, 0 = -5*d + 3*g + 3. Let q = -2 - d. Let x be (76 + 1)\/(6 + q). Calculate the highest common divisor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29608 is divided by 90?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2229137189?\nAnswer: 17, 131125717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2449?\nAnswer: 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -2. Suppose -4*w + 3*w + 3*i = 8, s*w + 4*i = -59. Which is greater: -10 or w?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5416*2.3148\nAnswer: 12536.9568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/50 (b) -0.2 (c) -2 (d) -19 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -139.5 times -2?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68923, -68924, -68925, -68926, -68927?\nAnswer: -68928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a51 (base 13) in base 12?\nAnswer: 3686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 12:18 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 6 = 66. Suppose 3*l + 3*x = 6 + r, 3*l - 3 = 3*x. Let d be (-1)\/(0 + (-2)\/(-2)). Sort l, d, -2\/7 in descending order.\nAnswer: l, -2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 3235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 140\/50)*(-1 - 1). Let q be 3\/(-31)*18\/27. What is the nearest to p in -5, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3580, 3651, 3768, 3931, 4140, 4395?\n\"Answer: 23*x**2 + 2*x + 3555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -0.13002, -1\/13, 19 in increasing order.\nAnswer: -1\/2, -0.13002, -1\/13, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 4*t + t)*(t + 0*t - 2*t + 5 - 2*t - 5 + (-2*t + 2 - 2)*(-5 + 1 - 3)).\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 104445 (base 7) to base 12\nAnswer: a7a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -141556 - -141604.99942. Let h = 49 - o. Round h to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u. Let i(r) = 28*r. Let o be 12\/27 - 925\/(-45). Determine o*t(c) + i(c).\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 1141*y**2 - y + 1. Let v be j(-2). Let h be 8\/(-28) - 382582\/84. Let a = v + h. Find the common denominator of 41\/5 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8, -12, -12, -8, 0, 12?\n\"Answer: 2*f**2 - 10*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.055*-97900\nAnswer: -5384.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 42 - 43. Suppose -4*v = a - 101. Suppose -w = -0*w - 105. Calculate the greatest common factor of v and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -398 - -443. Let s(j) = -j**3 - 7*j**2 + 14*j + 13. Let d be s(-9). Find the second derivative of -d*v + 0 + 31*v**4 + 0 + w*v wrt v.\nAnswer: 372*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/20)\/((-2)\/16). Suppose -2*o = -n + 28. Let u = 34 + o. Solve 0 = b + 3*z - 11, -4*b + 0*z + u = 5*z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 - 20 - (6 - -5059)\/(-5) is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d + 1\/2*d**3 - 2*d**2 - 1\/20*d**5 + 0 - 1\/12*d**4. Suppose -b + 1 = 4*n, 3*b - 2*n = -6*n - 5. What is r(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in -3, 3, -4\/5, -0.3, 40793?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) 0.03 (c) -26 (d) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 - -37.8. What is the third biggest value in 2\/7, 0.3, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) 5 (c) 0.1 (d) -2\/229929\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57\/22 + 34\/11. Let o(i) be the second derivative of -k*i**2 + 2\/3*i**3 + 0 - 2*i. What is the derivative of o(z) wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-19 + 51\/85)*(-10)\/4. Calculate the greatest common factor of 989 and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (57\/15 + -3)\/((-42)\/(-5))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 184 and 6460700.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h**2 + 4*h - 9. Let l(j) = -j**2 + j + 1. Let r(d) = -5*l(d) - u(d). Let q be r(-9). Suppose 0 = 2*x + q + 2. Sort 5, 2, x.\nAnswer: x, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a milligram in micrograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/6, 5, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*m**3 + 135*m**3 - 50*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15469520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3*r)*(5*r**2 + 0*r**2 - 3*r**2) - r**2 - 192*r**3 + 196*r**3 - 26*r**2.\nAnswer: 10*r**3 - 27*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1057.2 to the nearest ten.\nAnswer: -1060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 191 + 256. Calculate the lowest common multiple of 3 and y.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 6:16 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1*5\/((-6 - -10)\/(-16))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -20 + (19 - 4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -13*y + 111. Give h(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4630.\nAnswer: 2, 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/6)\/(5\/80). Solve -s - s = p for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ym when two letters picked without replacement from symymiw.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -0.3, 299 in ascending order.\nAnswer: -0.3, 12, 299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 9:38 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(20\/(10\/(-1)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by 173.\nAnswer: -26\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -9*h**2 - 4*h + 4. Let z = -2 - -6. Let i(p) = -51*p**2 + 13*p**2 + 9*p**2 + 19*p**2 - 5*p + 1 + 4. Give z*i(m) - 5*f(m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 9:38 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -125692220 divided by 1292?\nAnswer: -97285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 12301*f**2 + 10*f + 20. Let h be m(9). Let y = h + -121753. Suppose 397262 = 4*x - y. Round x to the nearest 10000.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(1452))\/(-1*sqrt(6)*-2 - sqrt(30)\/(sqrt(20)\/sqrt(4))).\nAnswer: 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2. Suppose 0 = 2*v + 2*v - 16. Let q be v\/2 + 3 - 1. Let o(s) = q - 4 - s. Determine o(y(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 5:37 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*1*-1 - (sqrt(187)*1*4 - sqrt(187)))\/(sqrt(44)\/sqrt(4)*-6 - sqrt(44)*1) + -2.\nAnswer: -2 + sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**2 - 57*g + 40. What is the remainder when 1478 is divided by l(-12)?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21066647*l**4 - 19158771*l + 1 wrt l?\nAnswer: 252799764*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-120)\/(-45)*3\/2. Solve -5 - f = -3*o, -4*o + 4 = -4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 46*b**3 - 2*b**2 + b. Suppose 4*q + 2 = 3*z, 3 = -q + 2*q + z. Let o(t) = t**2 + 5*t. What is the remainder when w(q) is divided by o(-8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -262*k + 324*k - 744 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1158 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 10:50 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -12. Let m(d) = 6*d - 2. Let h be m(f). Suppose -84 = -h*t + 192. Does 23 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 8:48 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**4\/9 + 28*u**3\/3 - 20878*u**2\/9 - 152320*u\/3 + 59187200\/9 = 0.\nAnswer: -85, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5278 and 5239546?\nAnswer: 36676822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 17*x**2 - 30*x + 64. Let k be n(15). What is the third derivative of 930*j**2 - 1025*j**2 - 81*j**5 - k*j**5 wrt j?\nAnswer: -8700*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456691197?\nAnswer: 3, 23, 6618713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + v + 253 = -514, y - v = 188. List the prime factors of y.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 - 47. Suppose 5*n = 4*g + 22, 7*g - 6 = 4*g. Suppose -a + 10 = -h, -3*a - 36 = 4*h - n*a. Is h < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5974*t**3 - 28*t**2 + 3*t + 3608756 wrt t.\nAnswer: -17922*t**2 - 56*t + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 26 - (-147 - (56 - 92))\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80 - 23 + 10)*(0 + 0 + 1)*(2*y**2 + 0*y**2 - 5*y**2).\nAnswer: 279*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 566 = -2*b, 5*m - 3*b = 91 + 633. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/33 - 42\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 11:02 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3373 - -4228. Calculate the greatest common divisor of 144 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (16 - (1330\/(-56))\/19)?\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2239220000 rounded to the nearest one million?\nAnswer: -2239000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29176 + 57639. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-20)\/(-70))\/(6\/(-196))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/311 (b) -3 (c) 2 (d) 3\/16 (e) 0.26 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -4769.\nAnswer: -1430.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 96\/251 in -4, -0.4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 605 = 2*g + 5*z, 0 = -g + z + 151. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1479005550, 1479005552, 1479005554, 1479005556, 1479005558, 1479005560?\n\"Answer: 2*j + 1479005548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 20*n**2 - 3*n - 5. Let t(g) = 21*g**2 - 2*g - 4. Let c(a) = -6*a**3 - 2*a**2 + 88*a + 89. Let r be c(-1). What is r*t(i) - 4*w(i)?\nAnswer: 25*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 485724 to the power of 1\/2, to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 25\/5 + -4 + 1. Let b = 28 + w. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nyyn when four letters picked without replacement from {n: 5, y: 9}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 2050 = 4*o + 2038, 3*n - 8*o = -34 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -394 + 397 + (-1 - 2) - 10 - (-1 + 19)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1229954, 1229951, 1229948, 1229945, 1229942, 1229939?\n\"Answer: -3*b + 1229957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -4 + (-7 - (-3 + -9))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**2 + 6*a - 2. Let c(u) = 7*u**2 + 12*u - 4. Calculate -2*c(x) + 5*d(x).\nAnswer: x**2 + 6*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 times -7.11874\nAnswer: -1.067811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6307.35349 - 6335.353. Let o = b - -28. What is o rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -283.64 + -5.36. Let u = y - -288.999998908. What is u rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.13 (b) -2\/3 (c) -2\/9 (d) 4 (e) -812.7 (f) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 0*m**2 - 1\/6*m**3 - 3\/5*m**5 + 0*m**4 - 4*m + 0. What is the second derivative of v(s) wrt s?\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 + 44*p + 4. Let n be a(-22). Is -9 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33\/26 - 399\/130. Which is bigger: x or -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/7))**43)**(2\/11)\/(((q**(-2\/3)\/q)\/q*q**(2\/15))\/((q*((q*q**(3\/2))\/q)\/q*q*q)\/(q*q*q*q\/(q*q**(-1\/7))*q*q))) assuming q is positive.\nAnswer: q**(3611\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-4)*(4 + -82). Let k = u - -10. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3. Let n(h) = 2 - 393929*h**3 + 4*h + 393937*h**3 - 3*h. Calculate 2*n(o) + 18*z(o).\nAnswer: -2*o**3 + 2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*g + q + 6 = 0, 4*g - 2*q - 8 = 0. Suppose -73 = 3*l + h, g*h = -l + 2*l + 36. Which is the biggest value? (a) -2\/3 (b) -0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1336 and 80.\nAnswer: 13360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7600618416416725\/150503457 + 8534717592\/169. Let d = -137\/339 - k. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -42 - 44c?\nAnswer: -48e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9018533 and 2.\nAnswer: 18037066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3230230 divided by -1019\nAnswer: -3170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 take away 0.513?\nAnswer: -0.363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 + 52. Suppose -3 = -m*n - 45. Let r(x) = 2*x. Let p(y) = -y. Let l(g) = 3*p(g) + 2*r(g). Let o(a) = -2*a**2 - 6*a - 4. Calculate n*l(k) - o(k).\nAnswer: 2*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 + 28.3. Let p = x - -8. Sort p, -2\/9, -5.\nAnswer: -5, -2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -0.1 (c) 35 (d) 0.4 (e) -85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164051804.\nAnswer: 2, 7, 569, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 12*z**3 - 10*z**2 - 1. Let b(l) = -10 + 4 - l**3 + 7. Let p(q) = -2*b(q) - 2*n(q). What is the third derivative of p(t) wrt t?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166598 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((-5 + 0 + sqrt(2057) - (sqrt(2057) + (sqrt(2057) + 1 + sqrt(2057))*-4)) + (0 + sqrt(2057) + -5)*3)*-6*2)**2.\nAnswer: -557568*sqrt(17) + 35878032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1719, -3493, -5315, -7185, -9103, -11069?\n\"Answer: -24*j**2 - 1702*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 8:27 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46950*m + 46979*m = 783 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 210 - 149. Let q be g\/5 - 7\/35. Is (-1336)\/(-6) - (-4)\/q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7279311 + -11.6.\nAnswer: 7279299.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 15 = -3*u, 4*u - 2*s + 10 = -4*s. Suppose -2*l = -2*h + 2, 2*h - 2 = -u*h - 2*l. Solve -6 = 5*x - h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40187843?\nAnswer: 43, 523, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 47 = 50. What is the smallest common multiple of 6 and 1\/(c\/(-6)) - -11?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 9 + 5)*(-2*o**3 + o - o) as j*o**2 + k + w*o + i*o**3 and give i.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659399477?\nAnswer: 11, 29, 2067083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 113324*l**4 + 714571?\nAnswer: 453296*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -20*j**4 - 128*j**3 + 12664*j**2 + 148512*j - 93636 = 0.\nAnswer: -17, 3\/5, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*n - 2. Let p be 6\/n*11\/(-11). Solve -s = -4*m, -4*s - 5*m + p - 24 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1693 divided by 1\nAnswer: 1693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 12291, -1, 6, 1, 8 in ascending order.\nAnswer: -1, 1, 6, 8, 12291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -1. Let y(v) = v + 3. Let i be y(r). Let d be (i\/35)\/(2\/(-20)). Which is the nearest to -2? (a) -2\/5 (b) d (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -g + 5*m, 7*m - 10*m + 6 = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -2, 0.1, 3, -0.14, 36?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 4*a + 247, 15 - 100 = j + 2*a. Let t be (-1)\/(-3) + j\/(-21). Suppose 0 = 2*r + t*f - 4, 0 = 2*r - f + 4*f - 5. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 54 = -2*v + 4*v, 5*y - 90 = -3*v. Let w = -5 + 13. What is the lowest common multiple of w and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*r**2 + 4*r**2 - r**2 + (6 - 6 - 15*r**2)*((-2 - 2 + 2)*(3 - 5 + 3) - 21 + 4 + 6 + 4 - 2 - 1).\nAnswer: 191*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0123854666 to 6 decimal places.\nAnswer: 0.012385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*sqrt(363))**2.\nAnswer: 13068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.145 to zero dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22710 - -22733.07. What is w rounded to 1 decimal place?\nAnswer: 23.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270730 is divided by 769.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38464 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 592 and 3088.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*r**3*x - 6*r**2 + 2*r*x + 184*x with respect to r.\nAnswer: -9*r**2*x - 12*r + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4534377 to the power of 1\/2, to the nearest integer?\nAnswer: 2129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4402721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.34 + 2.34. Let j be 3*(2 - (-11)\/(-6)). Which is the closest to j? (a) q (b) 0.5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 76 - 75. Let b = -3.95 + -0.05. What is the biggest value in -0.3, b, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1640, 11, 0 in descending order.\nAnswer: 1640, 11, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1426145827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 485819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2228351*u**3 - 486291 wrt u.\nAnswer: -6685053*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 149 + -144. What is the derivative of -m - 55*y - y**2 + 60*y - 8 + 52 wrt y?\nAnswer: -2*y + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 88444*u + 977792642.\nAnswer: 2*(u + 22111)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51671, 51499, 51329, 51161, 50995, 50831?\nAnswer: 50669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 26\/5 of a century?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m - 2*m + m)*(-2 + 4 + 0)*(33 - 18 - 45) to i + l*m and give l.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 3*z - 81 = 0, 2*a + 9*z + 199 = -17*z + 81 + 76 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -742\/9, 0.05, 0, 7, -1\/4 in decreasing order.\nAnswer: 7, 0.05, 0, -1\/4, -742\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/49038 and 47\/8916.\nAnswer: 98076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 28. What is the common denominator of 83\/4 and (90\/u)\/(12\/(-21))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 3*s - 3 = -3*k, 2*s = 3*k + 15. Suppose -j + s = -7. Is j < 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1 + -5)*-2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, h: 5}. Give prob of sequence lhhl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-52)\/(-28))*44\/154.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46785 and 22665.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q. Give y(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n - 8. Let y be b(2). Suppose 3*o + 108 = y*j - 150, -2*o - 326 = -5*j. Suppose 3*w - 3*v = j, w - 2*v + 56 = 3*w. Solve -5 = 5*g - w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37 + -23)\/(532\/1026).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 4*s. Let c be a(3). Suppose -c*l = l. Suppose -4*k = -l*k. Solve 2*z + 3*z = k for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 17 (b) -2 (c) 2\/21 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -127, -215, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 26.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 402480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 6*s - 2*s. Let i(a) = a**2 - 17*a - s*a + 32*a + 1. What is i(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 15*a**2 + 16*a + 3. Let t be k(-16). Let b = 192 + -189. Solve 5*v + 10 = 0, -v + t = -2*w - b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -12.85. Let u = 2.15 + k. Let i = u + -1. Which is the third biggest value? (a) -0.3 (b) 2\/7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3935 or 3936?\nAnswer: 3936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 62 = -2*c, c + 5*n = 24 + 7. List the prime factors of c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u + 102. Let o be b(0). Suppose -13*z + 209 + 675 = 0. Calculate the highest common factor of o and z.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1\/6, 4, -892?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 10 = 6. Let b be (-50)\/(-325) + 119\/(-13). What is the least common multiple of i and (-105)\/b - 3 - 4\/6?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 9*p**2 - 8*p + 12. Let z be x(-8). Let y = -11 + z. Let b be (-18)\/(-12)*(4 + 2). What is the highest common factor of b and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/200 and 29\/19200.\nAnswer: 19200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 5, 45835, -3.\nAnswer: -3, 1, 2, 5, 45835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 135 + -128.7. Let f = -6 + k. What is the third smallest value in f, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17911020 divided by -4477755\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -z**6 - 2494*z**5 - 87*z**2 + 18 wrt z.\nAnswer: -120*z**3 - 149640*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -798952, -1597903, -2396854, -3195805?\n\"Answer: -798951*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 13) to base 15\nAnswer: 2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from leenleeenlenlln. What is prob of picking 1 n, 2 l, and 1 e?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - 43*u + 2625 = 132*u for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -8*w + 2. Calculate the remainder when t(-17) is divided by 44.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -3.6. Let x = -0.02 - 3.98. Let p be -1 + 5 - 104\/72*3. Which is the closest to p? (a) -0.04 (b) x (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -4. Suppose -2677*f + 2616*f = -305. Suppose -78 = -3*a + 5*z, f*z - w = -2*a + 19. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47745903787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {b: 1, i: 3, p: 11}.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w. Suppose 31*q + 537 = -227 + 113. Let t(a) be the third derivative of a**5\/60 + 7*a**4\/8 + 3*a**2. Give q*x(r) + 3*t(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 991157, 1982294, 2973421, 3964538, 4955645, 5946742?\nAnswer: 6937829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 8:32 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - a9987?\nAnswer: -a9983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3894001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i - 3. Let u be r(-5). Let z be (2 + 2)*3\/u. Suppose -2*h + z = -d, 4*d = -0*d. Solve h*b + 25 = -2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 8*d = -16. Let l(a) = -a**3 + 3*a - 4. Let w(s) = 2*s**3 - 4*s + 5. Let p(t) = d*w(t) - 5*l(t). Let n be p(-1). Solve -n*f = 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 125*d**2 - 43508*d + 3115. Give q(348).\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2968, 3019, 3146, 3349, 3628, 3983?\n\"Answer: 38*z**2 - 63*z + 2993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 752647*c. Let v(x) = 2*x**2 + 18. Calculate d(v(u)).\nAnswer: 1505294*u**2 + 13547646","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 - 8*x**2 - 3*x + 12. What is the remainder when u(-5) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5.975604g?\nAnswer: 0.000005975604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52443 + 37107 = -8499*q - 122925 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 6 = k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 4:43 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 194 + -47. Let s = d + -144. Which is the closest to 0.1? (a) s (b) -5 (c) 58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of m**7\/210 - m**6\/12 + 3*m**5\/5 - 7*m**4\/3 + 16*m**3\/3 - 24*m**2 + 61. Let f(i) be the second derivative of w(i). Factor f(n).\nAnswer: (n - 4)*(n - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 10*c - 19. Let l be q(7). Suppose l*n - 252 = -5*p, -3*n - 108 + 536 = -5*p. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-391)\/(-85))\/(1\/5). Calculate the highest common divisor of 207 and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 16890.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -645c5 (base 14) to base 4\nAnswer: -323033001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven quarters of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -693 = 1785*u - 1796*u. Calculate the highest common divisor of u and 783.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**3 - 945*r**2 - 297675*r - 31255875 = 0. Calculate r.\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 541 is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.096218 rounded to four decimal places?\nAnswer: -0.0962","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -10*q**2 + 2*q - 7. Let g(i) = -7*i**2 + i - 5. Let f = -344 - -346. Suppose -f*c - 5*w + 2*w - 29 = 0, -5 = w. Determine c*g(p) + 5*j(p).\nAnswer: -p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 235*m**2 - 14*m - 1. Calculate u(1).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 - 3*b - 1. Let i(n) = -2*n. Let q = -11 - -18. Suppose -2*t + q = c - 0, 5*c - 20 = -5*t. Let w be i(c). What is l(w)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 37 = 5*g, -2*c + 11 = -5*g + 28. Suppose -k - 24 = -g*k. Find the third derivative of -a**6 - 14*a**2 + 5*a**6 - 16*a**6 - 12*a**k wrt a.\nAnswer: -2880*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13664 - 16097 - 8659 - 33986 = -2049*p for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 15*i - 12. Let p be q(14). Let o(c) = -3*c - 170 + 162 + 2*c - p*c. Calculate the remainder when 118 is divided by o(-11).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/251 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*c*j + 5624*c + 192*j wrt j?\nAnswer: 4*c + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5151 (base 8) in base 2?\nAnswer: 101001101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 7:38 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93937.57l to millilitres.\nAnswer: 93937570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10032 divided by 1\nAnswer: 10032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-138)\/(-1587) + (615\/23)\/3. Solve 40 - 13 = d*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 8*s**2 + s + 1. Calculate the remainder when j(-2) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*(v**(-2)*v)\/v)**15*v**(-3\/14)\/(v**(-4\/17)*v) assuming v is positive.\nAnswer: v**(-233\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 23*a - 17. What is b(-6)?\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -230353 (base 6) in base 12?\nAnswer: -b3b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 6*l + 4. Let o be f(-6). Suppose 0 = -i + 4*j - 17, -34 = -3*i - j - o*j. What is the third derivative of -w + 3*w**i + w + 2*w**2 wrt w?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 11, a: 1}. Give prob of sequence ll.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 106*k - 109*k + 22, -11*p + 3*k - 62 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ic when two letters picked without replacement from {g: 7, s: 2, v: 8, c: 2, i: 1}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 26 = -s, 5*o = -s - 2*s + 24. Suppose 4*x - 3 = 29. Suppose f - 27 = -x*f. Solve 0 = 4*y + u - 4*u + o, 11 = -f*y - u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 766.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -279, -295, -323, -363, -415, -479, -555?\n\"Answer: -6*t**2 + 2*t - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-2 + (-3 - -5) + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from fspspfpmff?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -128869555*h**3*v - 177447284*h**3 with respect to v.\nAnswer: -128869555*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 409067?\nAnswer: -5\/409067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -289 + 329. Suppose 0 = -7*z + 44 + o. Solve 4*n = n - z for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 194691 and 290514?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1981, -2022, -2065, -2110, -2157, -2206, -2257?\n\"Answer: -o**2 - 38*o - 1942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 4*r = -9*v - 819, -5*r = 2*v + 1623. Round v to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6214 - -6213.9. Which is greater: w or -2107\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.21 and 0.55261.\nAnswer: 0.76261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f**(-1\/4)*f*f)\/f**4)\/(f*f*f*f**(-2\/9)*f*f**6) assuming f is positive.\nAnswer: f**(-325\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 5 - (2 + (3 - -3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbdyyddddnnnydyynnd?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 369 and 402784.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 16*s - 78320. Suppose -3*c + s = g, -4*c + 7115 = 4*g + 1899. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275 equal to 306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r = 18*r - 42*r - 340 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 - -2) + 30 + 56?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is -247 divided by 3?\nAnswer: -247\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*j - 12 - 192 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 565063549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113315390*q**2*v**2 - 8*q*v**2 - 2*v**2 - 1513424 wrt q?\nAnswer: 226630780*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + -5 + (-2 - -10) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-136)\/24 + 5 + 28\/24. What is the closest to 0.1 in -10, 4, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (617\/(-3085))\/((-2)\/(-10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 8*i + 9. Let n be k(-7). Let q be -1*4\/(-2) + n. Solve -c = q*y - 5*y, 2*y - 4*c + 6 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20*13\/(-65))\/(-4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -9*m**2 - 7*m. Let l(b) be the second derivative of -1\/3*b**4 - 1\/2*b**3 + 0 + 0*b**2 - b. Let w be 10\/4 + 2\/4. Give w*o(v) - 7*l(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 196640 and 160?\nAnswer: 196640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 0. Let f = -7 - -8. Find y such that f - 1 + y + y**m = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 987.977 + -988. Which is bigger: 0.03 or j?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5435 * -9659.\nAnswer: -14908.6665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 524, -1 in ascending order.\nAnswer: -4, -1, 524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215 + 59 + 156 + 24947*a.\nAnswer: 24947*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 71.9626?\nAnswer: -73.9626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*f**4 - 20*f**3 + 129*f**2 + 25.\nAnswer: 816*f - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -13*j**8\/1680 - j**4\/8 - j**3\/3 - 11*j**2. Let f(a) be the first derivative of x(a). Differentiate f(m) wrt m.\nAnswer: -52*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*a**3 + 31*a**2*v**2 - 94*v**2 + 3*v with respect to a.\nAnswer: 21*a**2 + 62*a*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*(0 - 1) - 12. Let p = -4 - u. Suppose -6*f + 71 + 43 = 0. Calculate the remainder when f is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -5*y, 2*g - 13*y + 36 = -19*y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 4, -13, -30, -41?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 25, -1 in decreasing order.\nAnswer: 25, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 149619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/((f\/(f*f**1))\/f))**20)**(5\/9))**(-34) assuming f is positive.\nAnswer: f**(-13600\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -31 (b) -1 (c) -2\/7 (d) 4 (e) 3 (f) -108\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -1\/320*z**6 + 0*z**3 + 0 + 2*z**2 + 0*z**5 + 11*z + 3\/560*z**7 + 0*z**4 + 1\/224*z**8. Solve c(s) = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12111412 + -10?\nAnswer: 12111402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -9*k + 80. Which is smaller: 14 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52949452?\nAnswer: 2, 101, 131063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 6*q - 14. Let p be i(-8). Suppose -l - 2 - 11 = 3*b, 4*b - 4*l = 4. Sort b, -2, p.\nAnswer: b, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -26\/111, -12 in ascending order.\nAnswer: -12, -3, -26\/111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -641.89041 and -0.78.\nAnswer: -642.67041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**3 + x**3 + x**3 + 4*x**3 - 3*x**3 - 48*x**3 - x**2 + x**2 - x**3 + (4 - 2 - 1)*(5*x**3 - 4*x**3 + x**3).\nAnswer: -44*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*o**2 + 44*o**6 + 61*o**6 + 61*o**2 wrt o?\nAnswer: 12600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249 = -2*y + 203 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*j - 164*j + 50 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n. Let z be w(0). Let k = 863552 - 7764272\/9. Let l = 856 - k. Which is smaller: z or l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 822, 2801, 5896, 10113, 15458, 21937, 29556?\nAnswer: 38321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**3 - 6*q**2 + 2*q. Let o(g) = 3*g**2 - g + 4*g - 10*g**2 + g**3. Let u(y) = -3*l(y) + 2*o(y). Solve u(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13324 - -13331. Solve 0 = -5*t - 3*b - 16, -13*b = t - 9*b - x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 49979?\nAnswer: 199916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8665*5.066\nAnswer: 43896.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2937.81 * 0.3.\nAnswer: 881.343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 50\/3 - 50\/3*m**2 + 1\/6*m**3 - 1\/6*m = 0.\nAnswer: -1, 1, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3199367.\nAnswer: 29, 110323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12401500024 + -1?\nAnswer: -12401500025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34 and 18\/464041?\nAnswer: 464041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 763*y + 2157 - 92 - 306 wrt y?\nAnswer: 763","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.56*-0.4.\nAnswer: 0.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*j**2 - 8*j**3 - 4*j + 26*j**3 + 26*j**4 - 16*j**3 as x*j + u*j**2 + g + s*j**3 + y*j**4 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 to the power of 1\/2, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 + 13 - 10 - 5*r**2 as u + y*r**2 + o*r and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-3*sqrt(85)*-4*-6)\/((sqrt(4860) + sqrt(4860)*1)\/(2*sqrt(12)*-3)))**2.\nAnswer: 39168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/182*((-23)\/(-92) + 46\/(-56)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -158c (base 13) to base 11\nAnswer: -2411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -238 + 43. Suppose 3*d - g = -2*x + 32, 100 = 3*x - 2*d. Suppose 13*y = 28*y - 180. Calculate the remainder when x is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -51, -106, -161, -216, -271, -326?\n\"Answer: -55*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-32)\/130)\/(-4))\/(26\/65)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a day in minutes?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21949 = -4*t - 5993. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5120 and 1520?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 2:25 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 28\/6*18\/(3 + -6). Let z = x + 29. Let w be 1 + z\/((-1)\/7). Which is the smallest value? (a) w (b) 0.3 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + -1)*(-1 - -4). What is the remainder when (v + 21\/(-3))*-147 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + (sqrt(102) - -1*sqrt(102))*-2)\/sqrt(6) + 6*sqrt(119)\/(sqrt(7) + sqrt(112)))**2 + 2.\nAnswer: 1427\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47164 is divided by 773.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 9*n. Let w be d(-1). Let k = 10 + w. Suppose -4*t = -3*t + x - k, -1 = x. What is the highest common divisor of 3 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*n = -2*p - 751, -2*n + 389 - 354 = 3*n + 5*p for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579030 is divided by 596?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2808 and 645632?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 894869076?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5.3 * -74.5\nAnswer: 394.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 + -54 - (5 - 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 8*u + 8. Let i be r(-14). Let z = -86 + i. Solve b + 5 + 1 = -4*g, 0 = -g - 4*b + z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 2:58 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -956*-0.5\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 42*c**2 - 45*c - 63. What is a(-43)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 444 = i, -2250 = -5*i - 0*f - 5*f. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1439*k + 375*k - 1536*k + 54*k)*(0*k + 3*k - 5*k).\nAnswer: 5092*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**3 + 15*n**2 + 27*n + 4. Calculate f(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3\/2 + 7*s**2\/2 + 17*s\/2 + 9\/2 = 0. What is s?\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 20*y + 36. Let c be h(18). Which is greater: -14\/19 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 32*p + 48*p + 2*p**2 - 10*p - 3*p - 49. Is g(-36) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26016256\/84505 - 10\/50703. Let m = -308 - u. Let g(x) = 2*x + 4. Let l be g(-2). Which is smaller: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 - 65. Let k be -11 - -13 - (a - -1). Solve 3*g + k = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18497337 to 4 dps.\nAnswer: -0.185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhbzzhbbbhhb. Give prob of picking 1 b and 1 z.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*t + 67*t - 2473365 = -77*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10103909, 20207816, 30311723, 40415630, 50519537, 60623444?\n\"Answer: 10103907*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*(-46)\/14720 + (-1)\/(-4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -52 + -922?\nAnswer: -974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 252874624 and 229.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 12213\nAnswer: 1\/4071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1456823?\nAnswer: 1456823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 5:50 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/(-2))\/(9\/94) and 1\/2 + (-460)\/88?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, k: 2, s: 3, m: 1, o: 3, h: 2}. What is prob of picking 2 h, 1 m, and 1 o?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22280 by -6.\nAnswer: 11140\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25.068 - -248.122. Let k = v + -272. Round k to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1280, 5058, 11354, 20168, 31500?\n\"Answer: 1259*p**2 + p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 12*c - 12. Let p be m(-13). Let w(o) = -6 + o + 6 - 3*o - p. Let f(d) = 2*d + 7*d - 2*d - 3*d + 2. Determine 4*f(x) + 7*w(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -l + 6*l + 45, l = 3*j - 35. What is the common denominator of (-1)\/(-2) + j\/16 and 6\/(288\/93) - (-3)\/12?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o**2 + 78*o + 19. What is z(20)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45724.\nAnswer: 2, 7, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 436.2 - 436.1. Are s and 2811 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -23*k. Let h(r) = 162*r. Let f(v) = 5*h(v) + 36*s(v). Let y(g) be the first derivative of g**3\/3 + 71. Calculate y(f(q)).\nAnswer: 324*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(20\/(-8)) - -6. Suppose 2*m + b*j - 30 = 0, -2*m = -7*m - 2*j + 115. Suppose m + 5 = l. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 - ((2 - -6 - -8) + -70)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3656 - -0.1078. Let t = 0.0578 + c. What is the nearest to t in 0.3, 0.4, 1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94965672 is divided by 2960.\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 86889677?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003681 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32933*r**3*y**5 - r**3*y**4 + 18761*r**3*y**2 wrt y?\nAnswer: 1975980*r**3*y**2 - 24*r**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -39?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o**2 + o - 7. Let s(v) = 7*v**2 - 2*v + 11. Determine -8*n(f) - 5*s(f).\nAnswer: 5*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.71893 and -0.4?\nAnswer: -0.687572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*m\/(m*m**(3\/5))*m)\/m*m)**(9\/4) assuming m is positive.\nAnswer: m**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4408601.\nAnswer: 4408601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -1150265333.\nAnswer: -1150265332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 385 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18609 + 18684.83. Let x = p - 79.8. Let t = -0.03 + x. Do t and -1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 12 = 0, -2*l - 7 = 6*n - 35. Calculate the smallest common multiple of l and 160.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + -1 + 19\/(-114)*42. Let m(y) = y - 3. Let f(v) = 2*v - 2*v + 2*v - 5. What is c*f(l) + 5*m(l)?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 2*m - 2*u + 9, -4*m - 2*u = 26 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 7*j**2 + 9*j - 4. Let x be k(-4). Is x at least as big as 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.43 - 4697978\nAnswer: -4697977.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**3 - 11*u**2 - 64*u - 13. Give w(-4).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/19, 0, 0.0481?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {b: 5, f: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7)*q**(-4))\/(q**(4\/5)*q*q**1\/q)*((q\/((q**(-3)\/q)\/q))\/(q\/q**(-5\/2)*q))\/(q**(-2\/7))**(-2\/21) assuming q is positive.\nAnswer: q**(-16651\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-4)\/x)\/(x**16\/x))\/((x*x\/(x\/((x\/(x*x**(-2)\/x))\/x))*x)\/(x*x**13)))**40 assuming x is positive.\nAnswer: x**(-400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -97975 != -293923\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -162 to the nearest integer.\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5879241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -138 + 94. Let o = d - -62. Calculate the remainder when o is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 318273246 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17108 = 6*r + 34182 - 16966 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (26 + -8 - 31).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, y: 5, u: 1}. What is prob of sequence iiyy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 10 + 5 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d - 3*d + 0*d - d + 2*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**8\/7 + 17*y**4\/12 - 2*y. What is the third derivative of a(i) wrt i?\nAnswer: 960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 669718705?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -8*n + 12. Suppose -j + n*i = -55, 3*i - 12 = -i. Let r = 60 - j. Let q(t) = 3*t + 10. What is q(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(242) - ((sqrt(242) + 1 - sqrt(242)) + 0)) + (sqrt(242) - (sqrt(242)*-1 + -3)) + sqrt(242))**2.\nAnswer: 176*sqrt(2) + 3875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -38*f**3 + 27*f**2 - 6*f - 5. Let b(i) = 39*i**3 - 27*i**2 + 5*i + 4. Let m(g) = -5*b(g) - 4*t(g). What is the third derivative of m(q) wrt q?\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -8*j + 137. Let z(d) = 2*d. Calculate u(v) + 5*z(v).\nAnswer: 2*v + 137","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 552*w**2 + 65*w + 64. What is u(-1)?\nAnswer: 551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + sqrt(700) + 0 + sqrt(700))*4 - (sqrt(700) + ((sqrt(700)*-2 - sqrt(700))*-1 - sqrt(700))))**2.\nAnswer: 56700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101111100011 - 1000?\nAnswer: 10101111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**3\/3 - 5*c**2 - 6*c + 3. Let y be r(-8). Solve -6 = 4*t + y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9630611 to the nearest ten thousand.\nAnswer: 9630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -713, -712, -711?\nAnswer: -710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/868 and -101\/28.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 74\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*w - 5*j - 0, -w = -4*j - 8. Put 0, w, -4 in decreasing order.\nAnswer: 0, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 12:41 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 0.2 (b) -0.3 (c) 0.1 (d) -106\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 + -321?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 1237*f**5\/20 - 1263*f**2\/2 + 138*f. Find the first derivative of g(w) wrt w.\nAnswer: 3711*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 14) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2*h - 2*h - 19, -5*h = 4*r + 32. Let i be 54\/27 + r\/(-1) + 0. Let p(z) = z + 1. Let f be p(2). Solve -2*m = m + f, 0 = 2*l + i*m - 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4079 or -4078?\nAnswer: -4079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 715946 is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 48? (a) 8.43 (b) 0.02 (c) -1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h - 110 = 57 + 43 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -336 divided by 4?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1296536 at most as big as -1296538?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1229 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**4 + l**3 - l**3 + (-13*l - 7*l**2 + 13*l)*(3*l - 3*l - 2*l**2) to u*l**4 + b*l + p*l**3 + g + q*l**2 and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/11)*i)**(-6)*(i**(1\/8)*i)**(-2\/35) assuming i is positive.\nAnswer: i**(-7659\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*x - 27 = -227, 0 = -3*x. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9993 divided by -16?\nAnswer: -9993\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*h + 244*h - 10671400 = -3050880. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/10)\/w**(-20))\/(w*w**(1\/3)*w)**5 assuming w is positive.\nAnswer: w**(241\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2655*i**2 + 1475*i - 2950. Let q(n) = -2*n**2 + n - 2. What is p(b) - 1475*q(b)?\nAnswer: 295*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6 - 272\/(-48). Suppose 2 - j = t. Let a be -3 - 3\/t - -13. Solve 0 = -3*m - a - 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -321 + 273 - (-3 + 1 + (14 - 22)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -231369, 5, 4, -5 in increasing order.\nAnswer: -231369, -25, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32 + 14?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.61 + 3.61. Let d = i + 40. Let p = -44.08 + d. What is p rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3946 divide 657805931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 5*k. Let y be t(-6). Solve -4*n + n - y = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/(-8) - 6\/8. What is the closest to -2 in 1\/3, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l - 5330 = -29*l. Is l a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 0*o + 0*o + o**2 + 0*o**2 + 0*o. Let r(f) = -4*f**2 - 2*f + 1. What is 6*j(n) + r(n)?\nAnswer: 2*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 11902 = 7*k - 5*k, 4*k = -o + 2384. Does 70 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from nzclvvznvnlv?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 110 = 5*d + 3*v - 34 - 38, -13 = -5*v - 8 for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.18 in 0.4, 1, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -4 - 17 - (-3 - -1 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9, 2, -0.12, -4246, 1\/27?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2456316 and 1674?\nAnswer: 7368948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77087 and 9820.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k. Let j be 1\/4 + 15\/20. Let z be c(j). Suppose f = -z*f. Solve -i = -f*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 235*w**4\/2 - 44*w**3\/3 - 3*w + 202. What is the third derivative of j(p) wrt p?\nAnswer: 2820","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31)\/1)\/((81\/189)\/(15\/(-35)*-1)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 96161203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a**(-2\/3)*a)\/a*a)**28\/(((a*a**(7\/5))\/a*a)\/(a\/a**(-6)*a)))\/((a\/a**(2\/19)*a*a**(2\/7)*a)\/(a**2)**(-10\/19)) assuming a is positive.\nAnswer: a**(133067\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1221 + 2088. Suppose 0*c = -2*o + 3*c + 447, -4*o + p = 3*c. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 + 1048740*i - 316033144.\nAnswer: 4*(i - 301)*(i + 262486)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/15 in -3\/8, -162, -0.038, -2\/15, 0?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71798, -143598, -215398?\nAnswer: -287198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - v**2 + 3 + 9*v**2.\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 768523298?\nAnswer: 2, 193, 313, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -15 - (7 - (11 + (-5 + -4 - -10)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 1 + 4*d**2 + 2.\nAnswer: 4*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3 + 132*b**2 + 4*b + 285. Let t be q(-66). Solve 6*a + 60 = t*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 1266611?\nAnswer: -1266610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f + 20*v + 60 = 0, v = -21*f + 25*f - 21 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 464 and 522.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7601*f**2 - 26306*f wrt f.\nAnswer: -15202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 61*j - 5. Let g be r(1). Let d = g - 76. Let f = 0 - d. What is the smallest common multiple of 22 and f?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ev when two letters picked without replacement from eqvegqbvvqveqvbvv?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = u + y, 5*y + 4 = u + y. Let v(d) be the second derivative of -d**3\/6 + 10*d**2 + 5*d. Is v(u) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34732218 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/12 and 43\/4030428.\nAnswer: 4030428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 40 = -5*w. Suppose w + 12 = 4*g. Let z be 3 + -5 + (71 - -3). Calculate the highest common divisor of z and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxkl when four letters picked without replacement from {x: 1, k: 7, l: 1, o: 7, b: 2}?\nAnswer: 7\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 5:08 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -2 - -4) + 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -89, 3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220) + 2*-2*sqrt(220))\/((-1*sqrt(121))\/sqrt(11) - (sqrt(11) - sqrt(33)\/sqrt(3))*5).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3968817 rounded to the nearest 10000?\nAnswer: -3970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*42\/(-24)*4. Solve 23*j = 16*j + o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.03 from -793.2229.\nAnswer: -793.1929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 (base 11) in base 4?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10354?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 45118?\nAnswer: 451180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -5*v**4\/4 - v**3\/3 - 6. Let f be d(-1). Let m be -2 + 1 + (f - -285). What is the greatest common factor of 36 and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**7\/2520 + j**6\/144 - j**5\/15 + 2*j**2. Let y(q) be the third derivative of a(q). List the prime factors of y(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t + 3*t)*(10 + 44 + 30)*(5*t + 23*t + 55*t).\nAnswer: 13944*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -15a?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -1. Suppose t*i = -4*i + n + 21, -5*i = -3*n - 28. Solve -1 - 3 = j - a, -2*j - i*a = -6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 702, 1395, 2086, 2775, 3462, 4147, 4830?\n\"Answer: -q**2 + 696*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**5\/15 - n**4\/24 - n**3\/6 - 2*n**2. Suppose -4*z - 5 - 19 = -4*a, -5*z = -3*a + 20. List the prime factors of g(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1193 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -55177*k**2 + 60394 wrt k.\nAnswer: -110354*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t - 24 = 20*t. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*m = u + 104, -5*u + 126 = 3*m. Find the common denominator of 1 + -4 - 129\/u and -149*((32\/12)\/(-8))\/(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**4 + 113*d**3 + 1639*d**2 - 113*d - 1638 = 0?\nAnswer: -13, -1, 1, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**2. Let z(j) = -61*j**2 + 1300. Give z(x(p)).\nAnswer: -549*p**4 + 1300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82 + 82.3. Which is smaller: g or 1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130402?\nAnswer: 2, 113, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -4, -1\/355?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 6*f + 7*f**5 - 11*f)*(-2 + 6 + 1).\nAnswer: 35*f**5 - 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 5424642 to the nearest one thousand.\nAnswer: 5425000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bypvyaybpvhv. Give prob of sequence avhh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*l**3*y + 2*l**2*y**2 - 92*l**2*y - 5*l**2 + l*y**2 + 1263*l*y - 2*l - 2*y**2 - 13*y wrt l?\nAnswer: 84*l*y + 4*y**2 - 184*y - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1615 and -20 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u**3 - 2*u**2 + 6*u - 8. Let c(o) = -o**3 - o + 1. Let g(x) = -x**3 - 4*x**2 + 4*x - 6. Let t be g(-5). Determine t*r(a) - 6*c(a).\nAnswer: a**3 + 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -188007?\nAnswer: 56402.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 411 - 238. Suppose -22*w + x = -69. What is the remainder when 251 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 442860 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 9:02 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 2*y - 29, 0*y + 70 - 121 = 2*y - 77 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15\/(-2))\/(3\/(-1224)). Suppose 8*s = -4*s + w. Does 17 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 9:18 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by -9.\nAnswer: 29\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158, -278, -398, -518, -638?\nAnswer: -758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 5*h - 25, -154*h + 44 = -4*z - 150*h. Let b be 28\/(-6) + 8\/12. Let q be -2*-3*6\/b. Which is greater: z or q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 4*f - 3*f)*(-2*f**3 + f**3 + 0*f**3) + 22*f**4 - 54*f**4 - 23*f**4.\nAnswer: -57*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 70313161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((j*j**(-3)*j)\/j)\/j*j)**(3\/20))**(-27))**(-14))**(-1\/10) assuming j is positive.\nAnswer: j**(567\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -2 - -62 - -3) + (30 - (21 + 1))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 210502487 to the nearest integer?\nAnswer: 14509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = n + 3, -97*n + 4*v - 9 = -92*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i = -4. Suppose 5*d + 316 = -4*m, 5*m + 238 = i*m - 4*d. What is the remainder when 22 is divided by (-2)\/9 - m\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 10:45 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/1475 and 91\/307200?\nAnswer: 18124800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*b - 52023 = 37*b. Suppose -4825 + b = 21*w. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 12 = -0*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(40)\/(-3*sqrt(5) + sqrt(5))*1)\/((((sqrt(96) - sqrt(96)*4) + sqrt(96))\/sqrt(3))\/sqrt(8)) + -5).\nAnswer: -5 + sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -4*a**5\/15 - 164*a**4\/9 - 140*a**3\/9 + 328*a**2\/9 + 48*a + 475. Find o, given that x(o) = 0.\nAnswer: -54, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (-1 - 1) - -1. Suppose 2*q + 4*d - 18 = 6*d, -3*q + 35 = -5*d. Let g(r) = q + 6 - 2*r**2 + r**2 - 10. What is g(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1633 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58426 - 37496. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 + 10*i - 16. List the prime factors of d(-13).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009 times 5.0286?\nAnswer: -0.0452574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-2)\/6*8\/(-40).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -357567 + 5171?\nAnswer: -352376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 18 = 3*x + 5*i, -2*x + 139*i + 129 - 59 = 118*i for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -4.684583?\nAnswer: 1.4053749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 3 (c) 1.5 (d) -3 (e) 1 (f) 0.43 (g) 0.102\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4\/5, 2, 0.3, 0.13, 104.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 - -1)*(-4)\/(-2). Let k(z) = -z**2 + p + 5*z**2 - 6*z**2. Let m(s) = 12*s**2 + 0*s**2 - 2*s**2 + s**2 - 9*s**2. Calculate k(m(r)).\nAnswer: -8*r**4 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 10. Let h be -3 - (0 - (1 - -4)). Solve h*a - a + w = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 208614 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/8 of a kilogram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.3625056 to one dp.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zezk when four letters picked without replacement from zzzekzeekkzzz?\nAnswer: 63\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2110849 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -81395?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 17*h - 1. Let q(k) = 3*k - 1. Let z(n) = 6*q(n) - w(n). Let b be ((-22)\/(-6))\/((-1)\/3). Let t = b + 19. Calculate z(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = -4*m - 2150. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3176 + -6153\/2. Is k < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*z = 2077 + 17560. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 518 + -515. Are 51\/22 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a**2 - 255*a + 541. Calculate w(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*k + k, -7 = -2*y - 5*k. Let h(t) = t**3 + 5*t**2 - 6*t + 1. Let m be h(-6). Let w = 4 - m. Solve -y = w*g - 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 53, -226, 6\/23, -0.5 in descending order.\nAnswer: 53, 0.3, 6\/23, -0.5, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((-12 - -7) + 10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -24, 87, -0.5, 5, -132?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) 0.1 (c) 3 (d) -3 (e) 6\/17 (f) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3280466?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 320312*j**4 - j**3*p + 90*j**2 - 60334*j*p wrt j?\nAnswer: 7687488*j - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*q - 3133 = 0, 5*t - 993 = -5*q + 2152. Is -2*(t\/(-150))\/(2\/6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c = 0. Suppose -12 = 3*y, c = 2*t + y + 3 - 1. Let k = -102 + 98. Sort -1, k, t in descending order.\nAnswer: t, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -24*v + 385. Let p(s) = -13*s + 214. Let t(n) = -9*p(n) + 5*w(n). Let g(l) = -l. What is 4*g(q) + t(q)?\nAnswer: -7*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 62929.58 to the nearest 1000.\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 1 (c) -2\/9 (d) -15 (e) 61 (f) 46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66 - 62. Suppose -469 - 215 = -s*w. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 986 - 982. Let s(a) be the first derivative of -1\/25*a**5 + 1\/10*a**o - 1\/5*a**2 + 0*a**3 + 1\/5*a + 33. Find r, given that s(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53424 by 1113.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 32562*d. Let j(n) = -223*n. What is 729*j(s) + 5*t(s)?\nAnswer: 243*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*u - 35 = -84 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 15) to base 6\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 6:59 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49644 and 4011511.\nAnswer: 1379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307458010?\nAnswer: 2, 5, 419, 73379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 157521658 to the power of 1\/2, to the nearest integer?\nAnswer: 12551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -0*y - 4*y. Let m = y - -25. Suppose -2*g + 3*g + 47 = m. Find the common denominator of g and -40\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -260 + 60*z + 63*z - 250*z - 3*z**3 + 66*z + 58*z to the form d + r*z**2 + u*z**3 + l*z and give d.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3a - -ac80?\nAnswer: acba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-4) + 1)*-47. Let j = w - 12. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 8*x**2 - 3*x - 4. Let y(q) = q**2 + 14*q + 56. Let d be y(-8). What is l(d)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -14\/3*v**3 + 0*v + 8 - 3\/2*v**2. Let x(o) = o. Determine x(t(n)).\nAnswer: -14*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4650*a = 4655*a + 11*g - 24, 8*a - 93 = -6*a - 5*g - 0*g for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -r + v + 4641, -3*r + 4*v = -2771. Calculate the remainder when r is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 61 + 3515?\nAnswer: 3576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25.5 + 24.5. Which is the nearest to -10? (a) -0.5 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2173511 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: Which is the smallest value? (a) -107 (b) -394 (c) 12 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-89*m + 23*m + 20*m)*(-16*m**2 - 3*m**2 + 8*m**2)*(-3 + 2 - 3)*(1 - 5 - m + 3) to a*m**2 + d + w*m**4 + x*m + q*m**3 and give q.\nAnswer: 2024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 12*z**2 - 12*z - 3. Let w be o(11). Does 16 divide (-2)\/w*2 + 260810\/770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**3 - 3*d**2 + 3*d - 2. What is the hundreds digit of y(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-8))\/(36\/(-48)). Let h = j + 5. Solve h + 4 = -2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3 = -11. Let s be z\/(12\/45)*(-8)\/12. Solve a = -i + 3*a - 2, -5*a + s = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, -10, -52, -118, -214, -346?\nAnswer: -520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72 - -134.3. Let c = a - 62. Which is smaller: -0.1 or c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -10131303303?\nAnswer: 10131303303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -140*y**2 - 4347*y + 70. Calculate m(-31).\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(162) + -1) + 6*(sqrt(162) + -1))*3 + (-3 + (sqrt(162) - -1*sqrt(162)) + sqrt(162) - (sqrt(162) - -1*(0 + sqrt(162))))*5 + -5)**2.\nAnswer: -12600*sqrt(2) + 66025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2 + 12*y + 25. Let u be x(-4). Suppose 5*l = u, l + 3*l = 5*s - 69905. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -656\/7 + 94. Let x = 124\/3 + -1618\/39. Which is the third biggest value? (a) z (b) 2\/11 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 4 = 4*x - 4*v, 10 = -x + 3*v. Let p(f) = 37*f**2 + 5*f. What is the units digit of p(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*f + 44773 = 39845 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 k, and 2 n when four letters picked without replacement from {k: 1, t: 3, w: 1, n: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - f**2 - f + 4. Let k be s(0). Let q(p) = -p**3 - 3*p**2 + 4*p + 4. Let v be q(-4). Let d = v + k. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 + 7 + -15.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64573351 - -86980309637\/1347. Let u = i - 1\/449. Which is smaller: 3 or u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) 2 (c) -0.1 (d) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10767500 to the power of 1\/3, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-15)*-4*(-36)\/(-96).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 7*p + 19. Suppose -22 = -5*l - 6*g, -4*l = 4*g + 8 - 20. Calculate y(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 621309607 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 + 23 = -3*n. Suppose -9*p + 0*p = 9. What is the units digit of (9\/(-15))\/(p\/n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (0 - (-2)\/(-2)). Let g(f) = -f**3 - 6*f**2 + f + 7. Let p be g(-6). Let v be (d + 1)*(p + -2). Is v equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1890 by -6512.\nAnswer: -945\/3256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) -10\/9 (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + -46. Let p = -68 - n. Let j(m) be the third derivative of m**6\/120 + m**5\/12 - m**4\/3 - 5*m**3\/6 + 2*m**2. What is j(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 240491410?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6758 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00412 rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8249.\nAnswer: 73, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -13*d**3 + d**2 - 5*d + 3. Give h(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7250.499t?\nAnswer: 7250499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 9*j**2 + 19*j - 11. Let p(h) = 5*h**2 + 10*h - 6. Let i(r) = -11*p(r) + 6*v(r). Let a be i(2). Let x = 9 + 2. Solve a = -3*n - x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 18*p - 15 + 2*p**2 + p**2 - 8*p**2 - 7*p**2. Let i(b) = b**2 - b + 1. Let q(w) = -2*w + 31. Let t be q(16). Let z(r) = t*n(r) - 15*i(r). Factor z(a).\nAnswer: -3*a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.43 - 19.43. Let x = 19.9 + n. Let k = -0.7 + x. Which is the nearest to -1? (a) 0 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34439 by 10665.\nAnswer: 34439\/10665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 924*g**2 + 5517*g + 13. What is d(-6)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15937 + -510. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*(-2)\/(-28) + (-555)\/105. Let d be ((-11388)\/(-65))\/((-2)\/g). Suppose -12*x = 4*s - 10*x - d, -2*s + 5*x = -189. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -2040.06839?\nAnswer: -816.027356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -237*l**8\/112 + 97*l**4\/3 - 487*l**2 - 2*l. Find the second derivative of p(b) wrt b.\nAnswer: -14220*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 8*b - 19. What is the hundreds digit of r(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 2 - (-2 - 9) - -1. Let b(n) = -3*n**2 + 42*n - 20. Determine b(m).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699033 is divided by 1869.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + (-2 - (-3 - -3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3, 0.02179, -2\/21 in descending order.\nAnswer: 3, 0.1, 0.02179, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 149b2a27?\nAnswer: 149b2a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x + 14*x + 480 - 6*x - 36*x - 480 + 16*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -4*s + 19, 4*z + 32 = -4273*s + 4278*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -442286, -884575, -1326864, -1769153, -2211442, -2653731?\nAnswer: -3096020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 5*w**2\/2 - w - 2. Let n(z) = 11*z - 3. Let m(x) = -13*g(x) + 6*n(x). What is m(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q + 26 + 46. Let f(o) = -7*o - 12. Let r be f(q). What is the greatest common divisor of 110 and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -16*j + 93743. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 4*r - 9. Let t be b(4). Let m = -4 - t. Suppose -4708 = -n + p, p + 7741 = m*n - 15811. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d + 4. Let q(k) = k**2 - 6*k - 3. What is -3*q(h) - 4*w(h)?\nAnswer: -3*h**2 - 2*h - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -4. What is the common denominator of -12\/7 and (-134)\/10 + v + -4?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (57\/(-38))\/((-3)\/(-15) + 11\/20)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 17*o - 5. Let l be r(7). Suppose u + 2*u - l = 0. What is the greatest common factor of u and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10100 - 2100?\nAnswer: -12200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1742*v**2 + 411*v**2 + 371*v**2 + 468*v**2 + 361*v**2.\nAnswer: -131*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13210563001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 13) to base 4\nAnswer: 3011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - 0. Let f = u - -1.7. Which is the second biggest value? (a) f (b) 0.1 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96.28 - -98. Let n = x - -0.28. Which is smaller: 7 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 2\/9, -0.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 9:04 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(171) - (sqrt(171) + 2*sqrt(171)*1))*-1)\/((2*sqrt(81)*6)\/(sqrt(36)\/sqrt(36))) + 1.\nAnswer: sqrt(19)\/18 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*g + 1058 = 0, 0 = 3*j - 4*g + 341 - 1147. Let l = j - 471. Let t = l + 1669\/8. What is the third smallest value in 5\/4, 0, t?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/14 - -3 - 132\/28?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - 0 - (-33 - -17)) + -13\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 95782*w**2. Let l(t) = 5*t. Determine l(i(f)).\nAnswer: 478910*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5856641?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - (sqrt(84) + ((sqrt(84) - 1*sqrt(84))*-3 - sqrt(84))))\/(sqrt(60)\/sqrt(5)*6).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*(5 + (-3*sqrt(288))**2 + sqrt(24)\/sqrt(192) + (sqrt(20)\/sqrt(5))\/sqrt(2))*6.\nAnswer: 90*sqrt(2) + 186984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38538471?\nAnswer: 3, 227, 56591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 18, 77, -3, -6 in decreasing order.\nAnswer: 77, 18, 2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d + 151 = 361. Let n be ((1 - 0) + 2)\/1. Solve 4*x = -n*u + d, 4*u - 9 = -4*x + 11 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (2 + 87) - (-352 - -113 - -256).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -4*i, -2*i + 4*v - 9 - 9 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 12 = -a - f, 4*a + 775 = 3*f + 764 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 10*u - 118. Let z be d(12). Suppose -s = 5*r - 86, 5*s + 300 = -z*r + 753. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52914341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3661*k + 139104. Determine x(-38).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/121763 and -93\/10.\nAnswer: 1217630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 52 = 4*t, t + 2*p - 12 - 2 = 0. What is the greatest common divisor of 24 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4447 + 4435. What is the closest to 1 in a, 1\/2, 26?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r - 14. Let f be l(-8). What is the derivative of 34*c**2 - 18*c**2 - 12*c**3 - 16*c**f + 10 wrt c?\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 434316.51 milliseconds?\nAnswer: 0.120643475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10b2 - -b4?\nAnswer: 1196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s + 0*s + 7*s**2 - 28*s**2 + 20 - 4*s - 35 to v*s**2 + c*s + z and give v.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**4\/3 - 1012*i**3 - 21286*i**2\/3 - 15212*i - 9129 = 0.\nAnswer: -3, -1, 3043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2 - 2 + 10 + 6*x + 0. Calculate b(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1 - -2) + -2 + (550 - 554).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001674704581 to six dps.\nAnswer: 0.001675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.5594543 millennia?\nAnswer: 6713.4516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3781*x**2. Let d(r) = r. Determine d(m(v)).\nAnswer: -3781*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30471 (base 8) to base 4.\nAnswer: 3010321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21374?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -37*g**6\/120 + 13*g**3\/6 - 40*g**2. Differentiate z(m) with respect to m.\nAnswer: -111*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 3*j + 16, -2*v - 4*j + 8 = -7*j. Let m be v*1 + 140\/(-30). Let a = -1.97 + -0.03. Which is bigger: m or a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -22*m + 66, -3*m + 17 = -n + 5*n - 12 + 20 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1322? (a) -4 (b) 0.3 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + -1 + 22 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -10. Suppose -3*v = -4*b - v - 16, 2*b + 3*v = f. Let t be -3*((-2)\/1)\/b. Let z(m) = 3*m + 3. Determine z(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 38?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17472\/1288)\/52*(-253)\/(-836)?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279695*x - 279708*x - 279688*x + 839066*x.\nAnswer: -25*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-1 + (0 + 2 - 5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 173391a (base 11) in base 9?\nAnswer: 5482733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -248*l + 17502. Determine x(71).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000090460464 to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3554613.\nAnswer: 3, 487, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 3 - (-24)\/(-20))*(-6 - -10). What is the closest to 40 in d, 2, 0.2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence px when two letters picked without replacement from pttppxtptptppyt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.318 rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/19))**(4\/5) assuming c is positive.\nAnswer: c**(-8\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p - 22. Let c be h(-53). Suppose 397*g - c*g = -69455. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(832)*1)**2 - ((-1 + sqrt(13) + -1 + sqrt(13))*-3)**2.\nAnswer: 72*sqrt(13) + 2824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 49*v**2 + 1813*v + 53. Calculate n(-37).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = -2*r - 2*m - 2*m, 3*r - 5*m - 293 = 0. Suppose 5*x - 2*d = 192, -r = -2*x - 3*d - d. What is the smallest common multiple of x and 22?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5285.63160296 plus 5?\nAnswer: 5290.63160296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 39622.66l in millilitres?\nAnswer: 39622660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 t when four letters picked without replacement from {t: 3, i: 1, p: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/14)\/((-123)\/(-574))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -181238 and -5.\nAnswer: 906190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3316343693\/144992 - 526070\/23. Find the common denominator of m and -37\/24.\nAnswer: 18912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b**2 - 3*b + 3. Suppose 38 = 3*m + 2*m - 3*n, -4*n = -16. Let h(v) = 7*v**2 + 5*v - 5. Let c(z) = m*i(z) + 6*h(z). Let a(f) = 6*f. Give c(a(j)).\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/19? (a) -19 (b) -0.3 (c) 4 (d) 3\/35 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 575016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1664)\/(-22))\/8*(-187)\/34?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113061988 take away -4?\nAnswer: 113061992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2 + -195*11\/(-22). What is the hundreds digit of g*(-40 - -6)*2\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1295948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 35*v + 374 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -76512*x**2 + 2*x + 452454 wrt x?\nAnswer: -153024*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 7*j**2 - 17*j + 15. Let a(f) = -3*f**2 + 8*f - 7. Let b(y) = -13*a(y) - 6*t(y). Give b(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9056 is divided by 62?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4138057 and 389851?\nAnswer: 4697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 19982?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 55, 36, 21, -4, -13\/4?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixteen fifteenths of a week?\nAnswer: 10752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 95\/(19\/1)*((-15)\/(-6))\/5\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6*y**2 + 150*y - 156. Let j be r(-26). Let m be (-21)\/(-3)*(-1 - 0). Let z = 5 + m. Sort z, -5, j in ascending order.\nAnswer: -5, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b - 1. Let j(g) = g**2 - 2*g - 57. Let d(p) = -j(p) + v(p). Is d(0) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2858, 2836, 2828, 2840, 2878, 2948, 3056, 3208?\nAnswer: 3410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) -2.22 (c) 3\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (198\/(-12))\/(16\/(-640)). What is the greatest common factor of 858 and r?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 305533 - 243?\nAnswer: 305250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9819 - 40.7.\nAnswer: -39.7181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 33 = -13. Suppose w*t + 384 = 2*m, -t - 2*m - 57 - 15 = 0. Let n = t - -268. Is n a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 706?\nAnswer: 2\/353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 25*m + 85, -2730949*z + m = -2730951*z - 3*m - 22 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/7, 0.08, -4.506202?\nAnswer: -4.506202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98510 or -98508?\nAnswer: -98510","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 0*a**5 + 0*a**4 + 252 + 192*a - 2\/3*a**3 + 0*a**6 + 208\/7*a**7 + 0*a**2. What is the third derivative of y(n) wrt n?\nAnswer: 24960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58420\/80)\/(-23) + -3*(-5)\/20?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75371 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 229\nAnswer: 8\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/((-3)\/(90\/3)). Suppose 65*t - 76*t = 0. Suppose 2*i - r + 46 = t. Sort -5, i, 5 in decreasing order.\nAnswer: 5, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -37*o - 24*o + 8 + 66*o. Let x(q) = -11*q - 17. Let r = -283 - -286. What is r*x(z) + 7*d(z)?\nAnswer: 2*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -142*h**3 + 312*h**3 - 163*h**3. What is l(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 12*b**2 + 3*b + 25. Is p(19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {v: 5, d: 3, y: 3, i: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 43\/16328 less than or equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/5)\/((-10)\/(-25)). Suppose 16 = -11*q + 38. Solve -f**3 + 1\/4 + q*f**c - 5\/4*f = 0 for f.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - -267 - (-3 - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 92 (b) -0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q = -0*q - 36 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 34 - -7) + (9 - (-12 + 10)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 5, 33\/7, -1?\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 4081?\nAnswer: 40810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114 a factor of 1627913281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 147 - (-209 + 93 - -114).\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1740*c - 49 - 19 + 33 + 32 - 168*c.\nAnswer: 1572*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 21 = 5*p, -2*p - 6 - 6 = k. Let j = -3 - k. Let d be (j - (0 - -1)) + -520002. What is d rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 0, -29 in increasing order.\nAnswer: -29, 0, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 301749.4m in micrometers?\nAnswer: 301749400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79 + 91. Calculate the remainder when 119 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3382 + 11995 = 26*h + 7*h. What is the remainder when h is divided by 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/(-6) + (-2)\/4. Let m(s) be the second derivative of 1\/3*s**3 + 0*s**2 + 0 - 1\/21*s**7 + 0*s**5 + 1\/3*s**4 - 2\/15*s**6 + p*s. Factor m(l).\nAnswer: -2*l*(l - 1)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 28*x - 15*x - 18*x + 0 - 8 + 2. Calculate b(9).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -13. Let b(r) = 6*r**2 - r - 2. Does 8 divide b(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43313 (base 5) to base 9.\nAnswer: 4046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.04 > -57272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*l - 2 wrt l.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -c + 3*g + 46, -4*g + 176 = 4*c. What is the remainder when c is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7208\/5565 + ((-114)\/(-126) - 1). Let -2\/5*v**4 + c + 8\/5*v**3 - 8\/5*v - 4\/5*v**2 = 0. What is v?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 45*s**3 - 5*s - 4. What is i(-1)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhwhwwhhwwhw. What is prob of picking 1 w and 2 h?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s - 3. What is f(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4688*g + 1 + 1474*g + 6871*g + 1977*g in the form f + r*g and give r.\nAnswer: 15010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, n: 8}. Give prob of picking 1 n and 1 e.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -96335 (base 11) to base 4\nAnswer: -202031330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = x + x. Let f(z) be the second derivative of -z**7\/840 - z**5\/120 - z**4\/3 + 3*z. Let p(m) be the third derivative of f(m). Calculate p(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**3 - 5. Let c(n) = -2. Suppose 2*o - 4 = -16. Let f(t) = o*c(t) + 2*a(t). What is the first derivative of f(i) wrt i?\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18907.\nAnswer: 7, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - 26. What is the second biggest value in -1, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k - 3*k + 12*k + (1 + 0 + 5)*((-4*k + k + 0*k)*(-1 - 1 + 0) + 0 + 0 + 2*k + k + 0*k + k).\nAnswer: 70*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 960 is divided by 316.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 432 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 512666?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -5*w - 4*p, -3*w - p = -2 + 18 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5*x - 6. Let d(m) = 7*m + 1. Suppose 0 = 2*n - 7*n + 15. Suppose -n = -3*z + 2*z. Let w be d(z). Let f(l) = -l - 1. Give w*f(p) - 4*q(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 11:07 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248\/(-18848)*190 - 274\/28.\nAnswer: -86\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1102181 rounded to 3 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16 - -8) + 4)\/(2\/(-87)). Suppose 0 = -2*c + 231 + 1. What is the highest common divisor of c and d?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13660079, 13660084, 13660091, 13660100, 13660111, 13660124, 13660139?\n\"Answer: d**2 + 2*d + 13660076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a8a1 (base 13) in base 16?\nAnswer: 13abf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5 - 2*f - 74 + 9*f - 6. Let y be n(29). Let p = y + -111. Calculate the least common multiple of p and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/156 and 59\/26?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s + 3*s - 1 + 2*s)*((126 + 33 + 7)*(2 + 1 + 1) - 1 + 2 + 1) to x + g*s and give x.\nAnswer: -666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 636\/25, 27, -3\/7, 0.3, -3, 1\/5?\nAnswer: 636\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 155 - 150. Suppose -y + 19 = h*a, -3*y = -6*y + a - 7. What is the closest to 2\/11 in 2\/7, y, -1\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3495473660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-39)\/(-26))\/((-2)\/(-96))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0095 and -0.21.\nAnswer: 0.001995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2821.406463 rounded to the nearest 10?\nAnswer: -2820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j - 8448 = -22*j - 5*q, -3*q = 9. List the prime factors of j.\nAnswer: 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-3 + -8 - -18 - 31)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a kilogram in grams?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 94942.7.\nAnswer: -94951.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 25\/10 + (6\/18 - 584\/(-48)). Solve 0 = n*o - 45*o + 240 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -29. Suppose -m + 29 = 5*l, -3 = l - u*m + 4. Suppose 8*a - l*a = 900. What is a rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*j - 46*j - 22625*j**2 - 2*j to the form n*j + c*j**2 + r and give c.\nAnswer: -22625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32890 - 22967. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 54 + 61 = 2*b, 0 = -4*b + 3*u - 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 1 - 2)*(4*m - 2*m + 2*m + m - m - m + (-m + 0 + 0)*(-1 + 0 - 1) + 2*m + 4*m - 5*m) as z + x*m and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 31212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -17*d + 23. Let q be 1 - d - 1 - 6\/(-3). Let s(v) = v**3 + 2*v**2 + 2*v. Determine s(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/((-30)\/2))\/(2\/(-26))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -104932892058 take away 0.1875?\nAnswer: -104932892058.1875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -208 + 208.405. Let j = -0.205 + t. What is the closest to -1 in -2, j, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: -5107 + -5\nAnswer: -5112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 10, y: 4}. What is prob of sequence cyy?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -23 (b) 1\/66 (c) 1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67 (base 13) to base 3.\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.6 + 6.6. What is the closest to 0.1 in -2\/17, -4\/3, r?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2914 and 564?\nAnswer: 17484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 3*j + 63, -2*o = j + 2*j - 47. Suppose -2*s + 45 = s. Suppose -3 = -u + s. What is the smallest common multiple of o and u?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**2 - 709722*j - 4258224 = 0.\nAnswer: -236568, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 10 + (12 - (-6 - -12)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*r**2 - 1 + 1.\nAnswer: -176*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/3)*f)**(9\/7)*f*f\/(f\/f**(-3))*f**(3\/4))\/(((f*f**(-7\/4))\/f*(f*f**(1\/5))\/f)\/((f*f**2*f*f)\/f)**(-1\/73)) assuming f is positive.\nAnswer: f**(3443\/5110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*m + 9 = 0, -4*f + 15 = 515*m - 516*m. Sort -5, f, 17, 5.\nAnswer: -5, f, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3860585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5687 less than or equal to -68255\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c - c + 3*c)*(c**2 - 3*c**2 + 0*c**2) - 3619*c**2 - 3668*c**2 + 7170*c**2 - 115*c**3 to the form r*c**2 + g + o*c**3 + a*c and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*t - 116 = 0, -113*f = -109*f - 3*t - 116. Solve 5*c - f = 3*u - 0*c, 5*u + 23 = 2*c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*s = -406459 + 130843. Calculate the remainder when s is divided by 293.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198395270.\nAnswer: 2, 5, 17, 337, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11869 divided by -1079?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1435, -1437, -1441, -1447, -1455, -1465?\nAnswer: -1477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -278 divided by -2\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 - (2 + -7 - 1170\/(-2)). Let g = 1136 + z. Is 33 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrnn when four letters picked without replacement from {n: 2, r: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1406398 to 3 dps.\nAnswer: -0.141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l*(l*l**(2\/9))\/l))\/l))**(-13)*(l**(-8)*l)\/l*l**(3\/4) assuming l is positive.\nAnswer: l**(-1301\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 9*m**2 - 8*m + 3. Let b be d(-8). Let z be ((-2)\/b)\/(-2 + 4). Let x = -0.4 - -0.4. What is the closest to x in z, -5, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**5\/20 - 7*d**4\/12 - 4*d**3\/3 - 6*d**2 - 74*d. Let u be o(-6). Does 2\/131 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1717506 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 35?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**3 - 14*x**2 + 172*x - 1740. Is g(12) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - b**2 + 73*b - 168. Give h(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 27*k - 32*k - i, k + 30*i + 97 = 0 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80216, 79941, 79486, 78857, 78060, 77101, 75986?\nAnswer: 74721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0.4, -1282, -0.2, -0.37?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2212 or -6778?\nAnswer: -6778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5*(0 + sqrt(1331)) + sqrt(1331) + -1 + 2 + -1*5*(2 + -1 + sqrt(11))*-2)**2.\nAnswer: -408*sqrt(11) + 12752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -8. Let a = 0.563 - -2.589. Let x = a + i. Round x to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1864 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 - -48. Suppose g*u - 46 = -3*r - 0*u, 0 = -4*r + 5*u + 38. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 119319 and 8.62?\nAnswer: 1028529.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-4 - -2) + 4 + (118 - 134)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(539) + sqrt(539)*-1 + 3 + 0 + sqrt(539)*2 + -4)**2.\nAnswer: -140*sqrt(11) + 2181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 700897627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -12222002?\nAnswer: 12222010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 68*o**2 - 3*o**3 - 63*o**2 - 11 - o**3. Is z(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -15*v**2 + 7*v**3 - 4*v - 11*v**2 - 6*v + 21 + 24*v**2. Calculate the remainder when g(2) is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.24 + -0.24. Which is smaller: g or 25?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258, 528, 816, 1128, 1470, 1848?\nAnswer: 2268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.82 minus -319.606?\nAnswer: 334.426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 8:44 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5906077*v*z**3 - 3*v*z**2 + 5*v*z + 2591*v + 14*z**2 wrt z.\nAnswer: -35436462*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 15*h**2 - 19*h + 14. Suppose -161*j - 1149 = 1105. Give s(j).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*u**2 + 16*u**2 - 2*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, c: 4, k: 6}. Give prob of sequence kkk.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-8)*2*56\/(-77).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*i**2 - 18*i**2 - 12*i**2.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (76\/(-114))\/(4\/(-18)). Put -0.009, l, -5, 1\/2 in decreasing order.\nAnswer: l, 1\/2, -0.009, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*f - 192 = -172*f + 87*f + 3*w, w + 21 + 19 = -f for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 + 5*n + 2. Determine p(6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxxx when four letters picked without replacement from {x: 3, p: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005227 rounded to four dps?\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**2*r**3 - 3589248*f**2*r - 2*f**2 - 4*f*r**2 + 1491*f*r + 902*r**3 wrt f.\nAnswer: -2*r**3 - 7178496*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -126 - -130. Let j = 1 - 1.5. Which is the second biggest value? (a) j (b) p (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -94 - -232. Let u be (2 - (-30)\/(-9))\/y. Let l = 136\/207 - u. Which is the second biggest value? (a) 0.5 (b) l (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 7, -9*f + 205 = -x - 14*f. Put 1\/3, 0, x in decreasing order.\nAnswer: 1\/3, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -8*k - 71. What is the nearest to 0 in -6\/7, 2, k?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 + 31. Let r(k) be the first derivative of -4*k**3\/3 + 27*k**2 - 9*k - 39. Let d be r(13). Sort m, d, 2 in descending order.\nAnswer: d, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2204253, -4408512, -6612773, -8817036, -11021301, -13225568, -15429837?\n\"Answer: -q**2 - 2204256*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -14. Suppose 2*c - 5*i - 11 = y, 3 = -i - 0*i. Put -3, c, 3 in descending order.\nAnswer: 3, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*s**3 - 9760*s**2 + 5*s - 520502?\nAnswer: 9*s**2 - 19520*s + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*t + 6 + 3, -5*v + 35 = 5*t. Suppose -5*l + 194 = f, 1012 = 44*f - 39*f + t*l. List the prime factors of f.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 0*h + 9, -2*o + 111 = 3*h. Let s = 65 - o. Solve 3*m + 1 = -s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 32*n**2 - 9338*n + 118178. Give d(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, -26, -123, -268, -467, -726, -1051?\nAnswer: -1448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i + 2. Let x = 391 - -54. Let p = -439 + x. What is n(p)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 31288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 173.5*334\nAnswer: 57949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 3*m**2 + 54*m + 1. Let h be o(6). Which is greater: h or -0.015?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3 = -7. Solve -c = 2*p + 3*p - 29, p + 11 = u*c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1699 equal to -1705?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -31914, -4, -7, 1 in descending order.\nAnswer: 1, -4, -7, -31914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 34*y**2 - 3*y + 2. Suppose 0 = 2*f - 3*f. Suppose f = -0*r + 3*r + 9. Is n(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0 = -24. Let f = 17862 - 249957\/14. What is the common denominator of (-45)\/4 - (-2)\/l and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z, 7*b + 6 = 5*b + z. Let u(s) = -25*s**3 - s**2 + s - 1. Is u(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -292.\nAnswer: -7\/292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/2 (b) 279951 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -1616, -2894 in ascending order.\nAnswer: -2894, -1616, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0319 and 1?\nAnswer: 0.0319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 28 + -10 - (-3 - -15)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2957450 and 1083.15.\nAnswer: 2958533.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -10*t**5 - 115*t**4 + 23090*t**3 + 58265*t**2 + 11750*t - 23320 = 0.\nAnswer: -53, -2, -1, 1\/2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*f - 15. Let o = f - 3. Suppose -2*l + 113984 = -4*v, -4*v = 2*l - o*v - 114016. Round l to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20\/(-25))\/(-4) + (-34)\/20. Let h = -33.18 - -33.38. What is the nearest to h in 9, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/7 - 343676*i\/7 - 14764149122\/7.\nAnswer: -2*(i + 85919)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/4)\/m)\/(m\/(m\/m**(-3))))**(-19)*m**(-2\/11)*m\/m**6*m**2*m**(-2\/11) assuming m is positive.\nAnswer: m**(-1611\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (2 - 5) + 6 + -7 + (5 - -27).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 597.803ml in litres?\nAnswer: 0.597803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 250, 2\/3, 0.3?\nAnswer: 250","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**6\/120 + i**5\/15 + i**4\/4 - 5*i**3\/6 + 24*i**2 + 62*i. Let g(r) be the first derivative of v(r). Give g(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1002320 + 2?\nAnswer: 1002322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.045 times -63.201?\nAnswer: 2.844045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27)\/(-12 - (-336)\/32). What is the greatest common divisor of q and 15138?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/(-156) - (-2 - 62\/(-30))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 31*k + 20. Determine b(3).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/19)\/w**(-3\/19) assuming w is positive.\nAnswer: w**(1\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 + 29*r - 14. Let j be n(14). What is k in 4\/3*k**2 + j + 2\/3*k**3 - 4\/3*k**4 + 1\/3*k - k**5 = 0?\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 1:24 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -8091563?\nAnswer: -8091561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**4 + 8568*v**3 - 5713767*v**2 - 585826830*v = 0. What is v?\nAnswer: -90, 0, 1473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3588*t + 3576*t. Let z(m) be the first derivative of 0*m**2 - 34\/5*m**5 - 10 + t*m**4 - 7*m**3 + 0*m. Find the third derivative of z(v) wrt v.\nAnswer: -816*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33.7 - 33.7. Suppose 3*v = -v - 548. Let n = v - -957\/7. What is the nearest to m in n, -2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 - 561528.\nAnswer: -561529.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - -11 - (-5 + 13). Suppose -5*r - u*v = -40, -2*r + 2*v = -0*v - 30. What is the greatest common divisor of r and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-12) - (-77)\/462.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 35992 = 4*u - 13942. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 851 - 4715 = -644*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 8 = 4*k, -18*p - 11 = -k - 14*p for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 8:58 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 3:19 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32 - -3421?\nAnswer: 3453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/9 - 202*m**2\/9 + 2*m\/9 + 202\/9.\nAnswer: -2*(m - 1)*(m + 1)*(m + 101)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 664 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1112, -3\/7, -923, 5, 4 in decreasing order.\nAnswer: 1112, 5, 4, -0.3, -3\/7, -923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(228) + 1*sqrt(228)*-3 + sqrt(228) + sqrt(228))\/(sqrt(60)\/sqrt(5)*-3) + 0)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1668188.9999984 - -1668191. Let d = c + -2. What is d rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*o**4 + 4*o**3 - 13*o**2 - 2 wrt o.\nAnswer: -216*o + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/89378 and -50\/156147?\nAnswer: 606787242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/58 and -85\/2748.\nAnswer: 79692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/5 + 1126*i\/5 + 383356\/5 = 0.\nAnswer: -239, 802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.266134 + 116.903134. What is t rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3241.705 or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/5 + 326*r**2\/5 + 4252*r\/5 + 2384.\nAnswer: 2*(r + 4)*(r + 10)*(r + 149)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 34*v + 35. Let c be m(-1). Solve 0 = -10*g + c - 51 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/99 and -67\/1972638.\nAnswer: 21699018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 393? (a) 2\/43 (b) -1\/4 (c) 0.1 (d) -0.6 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 79 = 3*n - 67, 3*n + 5*a + 15 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 3 (c) -0.7 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(3\/11)\/d**2 assuming d is positive.\nAnswer: d**(-19\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 2\/2059791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8\/481 (b) -0.1 (c) 1 (d) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1968759, -7875094, -17719001, -31500480?\n\"Answer: -1968786*z**2 + 23*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -105*w**4\/4 + w**3\/3 - 2*w**2 + 32*w. What is the units digit of k(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*f**5 + 92*f**2 + 4006*f - 3.\nAnswer: 660*f**3 + 184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 2. Let a be u(5). Let i(p) = 3*p**3 - 2*p + 3. Let z(w) = -1. Let c(o) = a*z(o) - i(o). Find the second derivative of c(f) wrt f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 33 = -5*z + 9, 28 = -2*z - 5*v. Find the common denominator of (-198)\/(-60) + (-2)\/z*6 and -23\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*t**3 + (-3 + 3 + t**2)*(2 + t - 2) - 42*t**3 - 1740 + 1740.\nAnswer: -39*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 + 0*d**3 - 4*d**3)*(17*d**2 - 14*d + 6*d - 22*d**2).\nAnswer: 25*d**5 + 40*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m + 9. Determine n(8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 116658543 a multiple of 939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36633 + -35990. What is the remainder when v is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/936 and 181\/546.\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.44 + -2.852. Let u = 6.268 - c. What is u rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24886864011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*z = 0, 0*t - 4*t = -z. Let u(x) = -2*x + t*x - 2*x - 7*x. Calculate the smallest common multiple of u(-2) and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9*(-5)\/(-6 - 9). Solve 11*c = -i*c - 42 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1529 and -5.\nAnswer: 7645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 9:50 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - u - 3 = -c, u - 15 = -4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27625570 a multiple of 590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 24*t**2 + 139*t + 38. Let o be r(-12). Which is greater: 1086\/11 or o?\nAnswer: 1086\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.14 + 227.86. Let k = -228.974 + b. What is k rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11136734 (base 9) to base 16.\nAnswer: -525e62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z - 25 = 167. Find the common denominator of 91\/488 and (-376)\/48 + (-5)\/((-45)\/z).\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 + -0.08. Let w = 1.1 + f. Let r = -81 + 81. What is the second smallest value in w, -0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219483067 a multiple of 223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4684430310 a multiple of 1965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c**3 - 13691960 + 13691960 - c**3 + 3*c**3.\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3923729, -7847470, -11771211, -15694952, -19618693?\nAnswer: -23542434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3313469, -2\/3, -0.2 in decreasing order.\nAnswer: -0.2, -2\/3, -3313469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**6\/120 - 3*w**5\/20 + 5*w**4\/24 - 7*w**3\/6 + w**2 - 706. Suppose -5*j + 2*j + 27 = 0. What is the tens digit of k(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 - (-2 + -17 - -73 - 32)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7343889 is divided by 981?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011101101 (base 2) in base 10?\nAnswer: -749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 14 = -d, 189*r = 195*r + 4*d + 34 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence faf when three letters picked without replacement from faoooffaf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*c - 11 = 44, h - 5*c - 5 = 0. Suppose 6*o - h = -4*y + o, 0 = 2*y + 2*o - 12. Let x = -161\/5 - -32. What is the nearest to 2 in y, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/33 and -95\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/17, 4\/5, 5, -5, 10?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 56125.\nAnswer: -1\/11225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 9 = 5*q, -5*k + 7*q - 3*q + 71 = 0. Calculate the lowest common multiple of k and 293.\nAnswer: 3223","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 144\/81 - 4\/(-18). Suppose c = i*o + 1, c - 7 = -2. What is the highest common divisor of o and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 0, -4*t + 3*t + 5*w + 2 = 0. Solve 4*i = 5*i + t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6614 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4275*b**6 + 21454*b**2.\nAnswer: 513000*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/42*(-21)\/7*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -28374056 (base 9) to base 16\nAnswer: -d64973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 559 - 270. Let t = o - 289.4. Which is the third biggest value? (a) t (b) 28 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-3)*y*y**(2\/9)*y)\/(y**11*y\/y**(-10)) assuming y is positive.\nAnswer: y**(-142\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 135905 and -0.1?\nAnswer: -13590.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-32611)\/(-21) - 52\/(-546)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 456\/209 - ((-48)\/(-22) - 2). Factor 1\/4*p + 1\/8*p**b + 1\/8.\nAnswer: (p + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gktgkggbtwygt. What is prob of sequence tg?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -1\/4*n**4 + 3\/2*n**2 + 0 + 3*n + 0*n**3. What is the first derivative of l(o) wrt o?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1440)\/120)\/(3*(-1 + 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by 17\nAnswer: -31\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7164 + -2.2836. Sort 1\/41, 4\/7, -0.5, s.\nAnswer: s, -0.5, 1\/41, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 66384 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 17. Let y be r(0). Suppose -4*i + 27 = -c, i + i + 3*c - y = 0. Let m(f) = f**2 - 7*f + 6. Is m(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*p - 2*p - 5 = 0, -p - 7 = -3*z. Suppose -13*o = -41*o + 4060. Suppose o = -z*u - a + 587, 5*u = a + 1105. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m + 12. Let z be a(10). Let n be 24\/(-9)*78\/z. Suppose 0 = -w + n - 4. Does 22 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 133 = 3*n - 5*i, 4*i = -n + 56. Calculate the highest common factor of n and 852.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4608 and 64?\nAnswer: 4608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/2)\/(-4 - -3). Calculate the highest common factor of 40 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3973?\nAnswer: 29, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42370 is divided by 59.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 459624*u - 6434743. What is g(14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = d - 8. Suppose -d*n = -n. Suppose n = t - 0*t. Solve -2*b = -3*s - t*s + 15, 5 = 2*b + s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149932*a - 149946*a + 48216 = 0. Does 60 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2438511 and 0.4?\nAnswer: 975404.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 2. Let m be l(4). Let d be (4\/(-6))\/(m\/6). Let u(z) = -4*z - 15. Let n be u(-3). Which is the closest to 0.1? (a) 2 (b) d (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664326830 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - 67524757?\nAnswer: -67524771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3159889176?\nAnswer: 2, 3, 131662049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 + 28. Solve -x*z + 74*z = 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 3. Let s be x(-7). Suppose -5 + 24 = 4*z - 5*v, -15 = -3*z + 3*v. Let h = -8 + z. Put h, s, 0 in decreasing order.\nAnswer: s, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 4 (b) -45 (c) 5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11970 a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 108 = 5*n, -4*n = -a - a + 174. Let h = -60 + 102. Let k = a - h. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 8) + (-23408)\/(-3892). Do o and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*w - 14*w + 1015. Let o = w + -131. Is o a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 22 = z + 4*z, -5*z - 24 = 2*o. Let x = -267 + 273. Let b = x + z. What is the remainder when 6 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - j + 7*j.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 490*x - 8802. What is k(18)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1908 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26639866.\nAnswer: 2, 11, 1210903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r + 18 - 8 - 10 - 1. Determine i(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5026 is divided by 38.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-8)))\/(w*w\/(w\/(w**(-10)*w)))*w\/(w\/(w*(w\/(w**(-8\/5)\/w*w))\/w))*w**(-2\/3) assuming w is positive.\nAnswer: w**(269\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 12657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 10 - 30 = 5*s, 0 = p + 5*s + 26. Let x(b) = -28*b**3 - b**2 - 2*b - 1. What is x(p)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-47 + 16)*(1*-6 - -3). Calculate the greatest common divisor of 124 and j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-4) + 1 + (-69430)\/(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1627683 divided by -159.\nAnswer: -10237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 200 and 64.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 0 + 8 + -2. Suppose -4*x - 5*z = -128, 33 = -c*x - 2*z + 176. Calculate the remainder when 105 is divided by x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8324022 is divided by 80.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*o - 3*o. Suppose -6*y + y - 4095 = o. What is the common denominator of 1694\/y + 2\/(-13) and -41?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 6. Let s = -0.03 - 2.27. Let d = q + s. What is the second biggest value in d, -1\/3, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 18 - 31 = -5*f, 4*w + 5*f - 7 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, x: 1, r: 1, s: 1, m: 1}. Give prob of sequence xmb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (2 + 2) - -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r = -18*r - 12. Suppose -4 = -r*j + 4*j. Solve -j*p + 2*i = 2, -3*p + i - 3*i + 17 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 284 and 35713.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1. Let a(j) = -2*j - 1291 + 2614 - 1305. Let w(n) = 2*a(n) + 36*k(n). Let x(g) = 76*g**2. What is x(w(u))?\nAnswer: 1216*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 8*r - 3. Let c(p) = p**2 - 1. Let q(h) = -2*c(h) + k(h). Let y be q(-7). Let g be 0 - (y\/(-2) - -3). Put g, 2, -2 in decreasing order.\nAnswer: 2, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.0311149, -2\/7, -4\/5?\nAnswer: -0.0311149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - 32*p + 9*p)*(-p + 2*p - 3*p)*(12 + 10 - 7).\nAnswer: 780*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + 2*i + 3*i**3)*(0 - 2 + 0) + (16*i**2 - 17*i**2 - 8*i**2)*(20 - 20 + 8*i) to p*i**2 + o*i + y + r*i**3 and give r.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -624 - -21793\/35. Calculate the common denominator of z and -125\/126.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**4 + 8*t**3 - 96*t**2 - 200*t - 100 = 0.\nAnswer: -5, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 33 = -5*t, 6*t + 41 = 4*d + t. Let o be -10 - 4\/(-8)*d. Let f = o - -10. Solve f*b + 2 = 3*w - 0*b, -10 = -2*b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v. Let y(x) = -616028*x**2 - 9*x + 1. Determine o(y(c)).\nAnswer: -616028*c**2 - 9*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzzz. Give prob of sequence zz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 7*b**2 + 13*b - 7. Let p(w) be the third derivative of -w**5\/20 - w**4\/4 + w**3\/2 - w**2. Suppose 0 = -7*j + 803 - 775. Determine j*n(o) + 9*p(o).\nAnswer: o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -695, 9, 90, 59 in descending order.\nAnswer: 90, 59, 9, 5, -2, -695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 3*t = 9, -515*t + 518*t = s - 9 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*7*14\/(-98)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2084474322 to the nearest integer?\nAnswer: 45656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.125 - -15.125. Let r = -26.5 - -12. Let h = r + c. What is the closest to -0.1 in 0, 4, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = 5*o - 4*y, 2*o = o + 5*y + 81. Suppose 7*v = -3*v + 40. Suppose v*d = 16 + o. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72 - 65. Suppose 6*k = d*k + 80. Let i = k - -113. Calculate the highest common divisor of i and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 21*k**2 + 18*k - 17. Let t be a(-20). What is the greatest common factor of 1403 and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-5)\/(20\/56). Let p = g - -41. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 92, 122, 172, 248, 356, 502?\nAnswer: 692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 59a - 1?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 347\/3, 1\/3, 5, 4.\nAnswer: -1, 1\/3, 4, 5, 347\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2467123153 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3351 - 0.351. Let j = w - -0.012. Round j to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1936 divide 1071083151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence myv when three letters picked without replacement from {v: 1, c: 4, m: 1, n: 1, y: 5, s: 1}.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -4*o + x, -227*o + 229*o - 4*x = 30 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -253 + 1?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q + 19*q = 96 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3434568 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 19, 48, 4, -3, -2 in increasing order.\nAnswer: -3, -2, 2, 4, 19, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -369.997361 + 370. What is s rounded to four decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35726, 35407, 35088?\nAnswer: 34769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66392465, 132784927, 199177389, 265569851, 331962313?\nAnswer: 398354775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1477655833.\nAnswer: 1477655830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1158930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 9*a**2 + 7*a + 16. What is the smallest common multiple of 2 and j(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -42?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 5)*(1 - 3 + 3)*(-2*g**4 + 2*g**3 - 2*g**3) + (g**3 + 3*g**3 - 5*g**3)*(g - 1 + 1) as u*g + o + f*g**3 + a*g**2 + h*g**4 and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5186 (base 16) to base 3\nAnswer: -1001121222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**2\/5 - 152166*x\/5 - 4262216\/5 = 0. What is x?\nAnswer: -28, 76111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**2 + 2*i**2 - 2*i**2)*(227 - 111 - 177)*(2*i + 2*i - 6*i)*(-6 + 9*i - 7*i - 3*i) to the form w*i**3 + s*i + o*i**4 + b + q*i**2 and give o.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-17)\/x**3*(x**(1\/4))**(-8\/7) assuming x is positive.\nAnswer: x**(-142\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 6*m + 489. Let u be c(14). Which is greater: u or 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 88 + 2*i - i**3 - 4*i**2 + 3*i - 73. Let x be a(-3). What is the remainder when 327 is divided by 141*3\/(x\/(-1))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2043918 divided by -2.\nAnswer: -1021959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -9 and 363608002.\nAnswer: 363607993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pprffpfpp. What is prob of sequence ff?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + ((-6)\/(126\/161) - -5). Which is smaller: 9\/80 or r?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**33\/s)**(-5))**(-26\/5) assuming s is positive.\nAnswer: s**832","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41.5 + -20.5. Suppose 4*g + 0 = -3*n - 4, 3*g + 3*n = 0. What is the second smallest value in r, g, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 1. Let r be b(1). Let i = 32 + -30. Suppose -2*q + y + 32 = 0, -i*y - 2*y - 16 = r. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + p - 2. Let i be h(2). Suppose 2292 = -i*v + 8220. List the prime factors of v.\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 4. Let o be (n - (-3)\/1) + 6. Let k = -0.362 + -0.038. What is the smallest value in o, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 d when three letters picked without replacement from omdo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qg when two letters picked without replacement from {z: 3, q: 4, g: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 93\/(-341)*18\/(-756)*66. Let 0*u - 6\/7*u**3 + 0 + 0*u**2 - h*u**4 = 0. Calculate u.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/3*(-112)\/(-784). What is the smallest value in -0.1, 7, k, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9405 and 1089.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -67, 8, 2, -525 in ascending order.\nAnswer: -525, -67, -1, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 0)*14\/(-4). Let n(g) = -g**2 + 12*g - 26. Let p be n(3). Let c be (-97)\/(-1) - (4\/p + w). What is c rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1563 divide 103217394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -16 + (2 - 13 - -13).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4\/7 - 180*w**3 - 9878*w**2\/7 + 6588*w + 54736\/7 = 0 for w.\nAnswer: -622, -11, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1603 + 36876\/23. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18274 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: What are the prime factors of 4\/(-18) + 41279\/63 + -1?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 6. Let b be -2 + 2 + (-2)\/7. Let u = 52 - 52.3. What is the nearest to 1 in b, w, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(1\/18)*d)*d**(3\/5)\/d*d)**41\/(d**(-1\/4)*d*d\/d**0)**(10\/13) assuming d is positive.\nAnswer: d**(12271\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 499255653 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 645, -0.037, 1\/2 in descending order.\nAnswer: 645, 1\/2, 0.04, -0.037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.5 + -0.5. Let j = -5\/19688 + 59099\/137816. What is the biggest value in q, j, -0.09, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 6 = -5*m - h, -4*h = -2*m - 2. Let x be (1 - m)\/1 + -4. Let w = 2 + x. Is w at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 = -2*h + 2*g, 2*h - 176 - 23 = g. Let c = -65 + h. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -25, -2*a - 2*a - 5*r + 37 = 0. Let s = 4 - 1. Solve -a - 6 = s*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 6\/25, 1\/2, -1663, -8, 1 in descending order.\nAnswer: 1, 1\/2, 6\/25, -8, -11, -1663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.67 from 9.6375.\nAnswer: 7.9675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - i = -5*i - 380, g - 5*i + 89 = 0. What is the common denominator of 101\/64 and (-3)\/10*(4 - g\/(-8))?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/17 at most as big as 0.417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 130*j**3 + 1389*j + 563710.\nAnswer: 390*j**2 + 1389","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 251*r + 277. What is the thousands digit of j(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.14 in -1\/11, 0, -1\/4, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 11:13 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.62 - 19. Let z = j - -0.08. Let t = 6 - 2. Which is the nearest to 0.1? (a) t (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u\/u**(1\/2)))\/u**(2\/9))\/(u**6\/(u\/((u**(2\/3)*u)\/u*u))))**(-3) assuming u is positive.\nAnswer: u**(133\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 5*q**2 - 15*q + 12. Let x be v(7). Let l be (2 - 14\/x)*48\/64. What is the second biggest value in -3, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 7:28 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51460330 and 20050?\nAnswer: 4010","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/9*-9*(51\/((-1989)\/1274) + 36)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -886659 (base 10) to base 14\nAnswer: -1911ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.11 from 2098.202105403.\nAnswer: 2098.312105403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -369\/8 + 1007\/24. Calculate the common denominator of 0\/3 - 114\/(-28) and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 121369 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -15562*y + 7. Is n(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from {m: 1, y: 2, n: 3, w: 1, o: 8, h: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/(-5))\/(-3)*5. Suppose -2*r = -10*r - 32. What is the units digit of (-7)\/r + (-2)\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {p: 5, w: 9}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 0.5. Let y = n + -0.5. Let b = 6831 + -6835. Sort b, -2, y in ascending order.\nAnswer: b, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 739.23 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r - 4 + 4)*(-2*r + 0*r + r + (-2 + 1 + 3)*(-3*r - 2*r + 6*r) + 2*r - 3*r + 3*r) as i*r**2 + a + f*r and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469938 = 113931*s - 117438*s for s.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u + 8 + 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-20)\/12 + 832\/6?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -12. Find the third derivative of 5*c**o - c**2 + 0*c + 0*c - 10*c**5 wrt c.\nAnswer: -300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1205399.\nAnswer: 13, 92723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27101703*i**3 + 25850158*i**2 wrt i?\nAnswer: 162610218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1590 + 1590.2. Which is the nearest to 2? (a) m (b) 2\/5 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/11, -3, -209.6, 0.4, 3\/13.\nAnswer: -209.6, -3, 3\/13, 0.4, 14\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)\/sqrt(7) + sqrt(4))*-1)\/(sqrt(162)*-4).\nAnswer: sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18, -83, -222, -459, -818, -1323, -1998, -2867?\n\"Answer: -4*z**3 - 13*z**2 + 2*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -12. Let u be y\/(-12)*0 + -1. What is the units digit of (15 - u)\/(8\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 + 11*j**2\/3.\nAnswer: j**2*(15*j + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92220?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 68 in 2\/9, 0.5, 0.14, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*n + 11*n. Suppose 0 = 2*v - 5*p + 20, 14 - 30 = -2*v - 4*p. Suppose 3*w + v - 78 = n. Find the common denominator of w and -9\/53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 1450*j + 11843. Determine u(-8).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*n = 240, -i + n = -3*n + 142. Let r be i\/(-33) + 6\/33. Suppose -4*x = 4*g - 81 - 67, -r*x = -3*g + 132. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2046746227 and 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -50*r**4\/3 - 6630*r**3 + 377572*r**2\/3 - 137184*r - 226304\/3 = 0.\nAnswer: -416, -2\/5, 8\/5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 5:31 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100100010110010111 - 10010?\nAnswer: 1000100100010110000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 37714151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + -10 + (-9 + 9)\/2. Which is the nearest to r? (a) 4\/5 (b) -11\/4 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -155*a**2 + 3 + 156*a**2 + 1 in the form u + t*a**2 + r*a and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**3*m))**(-15)*(m**(-3)*m)**(-2\/73))**18 assuming m is positive.\nAnswer: m**(59202\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 628014, 1256021, 1884028, 2512035, 3140042, 3768049?\n\"Answer: 628007*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -2, 31394?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-24)\/54*45\/(-36).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 4. Let q be i(-2). Let w(v) = -v**2 + 8*v - 10. Let s be w(q). Suppose -4*m + 14 = 2*d, -s*m + 4*d - 3 = 5. Solve 3*u = -m*u + 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, p: 3}. What is prob of sequence ppe?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 177.7075 weeks?\nAnswer: 107477496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3700)\/(-16 - -66)*-1*1\/2\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: -0.0156*-16\nAnswer: 0.2496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-104)\/(-64)*(-10)\/6*(-184)\/460?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**1*m*m*m)**(-47)\/(m**(-1)*m)**(-4\/3))**(-4) assuming m is positive.\nAnswer: m**940","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8349 to two decimal places.\nAnswer: 0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147444 = -4469*x - 4604*x + 3001*x + 350460 for x.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b + 0 + 0 + (3 + 4 - 5)*(-b + 7*b + 4*b) + 3*b + b - 6*b - b + b - b + (2 - 1 - 3)*(2*b - 4*b + 3*b) + (-4*b + 3*b - 2*b)*(4 - 2 - 3).\nAnswer: 21*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 122?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/3))\/(((r\/(r*r**(-1\/6)))\/r)\/r))\/(r**(-1))**(2\/41) assuming r is positive.\nAnswer: r**(291\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12696*q + 493537 + 972076 - 132533 for q.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5)\/(11\/(-10) + 1) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -h + 611, 2*x + x - 2*h = 623. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 10*x + 5)*(-x + 3*x - 3*x)*(-x + x - x) + 6*x**3 + 35*x**3 - 9*x**3.\nAnswer: 42*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 66 divided by 91905\nAnswer: 2\/2785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -83 + 7?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*(0 + -1) + (-21)\/7. List the prime factors of v\/(-3 + (-423)\/(-138))*3.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1073 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + 0. Let v(u) = -2 + 5905*u**2 + 4*u + 1205*u**2 - 7*u + y*u. Let c be v(3). Round c to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/84*8)\/((-2)\/(-3))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -31139 smaller than -31124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -923 > -921?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 285 = -105. Let s = j - 24. Solve -f + 6 - s = -q, -q - 11 = 3*f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - n + 47, 0 = 2*x - 7*x + n + 53. Suppose -3*v = v + 3*q - 279, 0 = -2*q + x. List the prime factors of v.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442180?\nAnswer: 2, 5, 22109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 39 + -40 + -4 - (4 - 0) - 63?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105032 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-15) + 746\/10. Let w = q + -75. Suppose -p = -k + 9, k = 3*p - w*k + 17. Are p and -36\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + y + 2 = -0*y, 3*y + 16 = f. Let x be (2\/(-6) + f\/(-6))*-2. Which is smaller: -1\/71 or x?\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(540)*-2*3)\/(2*sqrt(972)*-4 + sqrt(972) - sqrt(972)))**2 + -5.\nAnswer: -75\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3072 - -3184. Let b be 9\/3 + 0 + 25. What is the highest common factor of i and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7*c**2 - 3*c + 4. Let v be ((-234)\/(-27))\/(-13)*3. Let r(p) = p**2 - p + 1. Give v*r(q) + z(q).\nAnswer: 5*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + w + 92 + 39 = 6*w + w - 91, 2*w = 8 for p.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 33160, 64820, 96480, 128140?\n\"Answer: 31660*n + 1500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 12*z + 53*z**3 + 2 - 4 + 0 - 9 - 38*z**2 + 13. Is r(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 3 (b) 2\/9 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 3 - 1\/12*f**4 + f + 3\/56*f**8 + 0*f**5 + 5\/42*f**7 + 6*f**2 + 0*f**3 + 0*f**6. Find the third derivative of u(p) wrt p.\nAnswer: 360*p**3 + 300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -7768248531.\nAnswer: -7768248531.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1272, -1, -3.6956, 8 in increasing order.\nAnswer: -3.6956, -1, 8, 1272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 5*x - 31 = 0, 7*w + 21 = 200*x - 199*x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d + 15. Let y(n) = -n - 1. What is h(g) + y(g)?\nAnswer: -7*g + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 77901 + 11?\nAnswer: 77912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 5. Suppose h + l*x - 55 = -4*h, -5*h = -x - 70. Does 13 divide h*(2 + -1)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3146657, 6293316, 9439975, 12586634?\nAnswer: 15733293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 665 divided by 133.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*b + 155*b = 20, 11*c + 43 = -0*b - b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 8*p - 14. Let m be j(10). Let c(f) = -f + 1. Let g(z) = -6*z + 3. Let r(n) = m*c(n) - 2*g(n). Let x(s) = -2*s**2. Determine r(x(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 4*n - 5*n - 4*t = -23, -97*n + 48*t - 46*t + 287 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 10*p - 9. Give a(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1144 = 15*c - 7*c. Suppose -t = 4*q + t + 302, 2*q - 3*t = -171. Let w = c + q. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**4\/2 + z**2 + 2. Let v(y) be the second derivative of n(y). Let i(j) = 3*j. Give -9*i(s) + 2*v(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 = 4. Let b = 6 - s. Let a = 140 + -68. What is the highest common divisor of a and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -10*t**4 - 50*t**3 - 60*t**2 + 40*t + 80. Let n(b) = -2*b**4 - 10*b**3 - 12*b**2 + 8*b + 16. Let d(f) = 22*n(f) - 4*y(f). Let d(m) = 0. What is m?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 316 divide 2804526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4627, -9156, -13685, -18214, -22743, -27272?\n\"Answer: -4529*q - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -374 - -261. What is the third smallest value in n, 0.3, -1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 21 + 19 + -5 + -36?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1952, 7507, 16580, 29087, 44944, 64067, 86372, 111775?\nAnswer: 140192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -17*s**2 - s + 18. Let j(i) = -20*i**2 - 2*i + 20. Let c(h) = -7*f(h) + 6*j(h). Suppose c(q) = 0. What is q?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 21 = 3*a - 3*z, -2*a - z = 28. What is the common denominator of 647\/380 - (-2 - 36\/a) and (-2)\/(-6) - 31\/(-4)?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/12*3\/(-1). Is r\/14 + (-32045)\/(-119) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 10 = 2*w. Suppose i = -4*k + 8*k + w, k = i + 1. Which is smaller: 2\/85 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 0*a - 5*a + 16 = 0, 12 = -4*n + a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - -33. Let v be ((-1)\/(-9))\/(6\/(-9)). What is the biggest value in v, t, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209329121.\nAnswer: 209329121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.049 in 1\/2, 39\/7, 14\/31?\nAnswer: 14\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i*i**(-2\/13))))\/((i\/i**3)\/i))**31 assuming i is positive.\nAnswer: i**(1550\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/7542560 and 27\/6599740.\nAnswer: 52797920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -246 - -256. Let l be (-48)\/210 - (4 + -2)\/r. What is the closest to -0.07 in -0.5, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -7?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*q + g, -5*q = 3*g - g - 26. Solve q*x = -3*x + 36 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6*b**4 - 8*b**3 - 8*b + 44. Let s(x) = -x**3 - x + 1. Let v(w) = h(w) - 8*s(w). Find the first derivative of v(z) wrt z.\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 16, -0.4, 1\/2, 3\/11, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 40*i**2 + 46*i - 6. Determine n(-2).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + -1)*(-54)\/513. Which is the nearest to -1? (a) k (b) 2 (c) -5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1018774763 + -1?\nAnswer: 1018774762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((2\/(-4))\/(9\/45) + -5)\/37. Which is bigger: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (-43 - 99 - -161).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnne when four letters picked without replacement from {c: 1, g: 1, d: 1, n: 2, o: 1, e: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -4. Suppose 3*t + t - 4 = v. Let j = 5 - 9. Put 0, j, t in decreasing order.\nAnswer: t, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.6 + 17. Let w = -11.6 + h. Suppose -j - 5 = -3*m + 6, -16 = -5*m + 4*j. Put -0.2, m, w in increasing order.\nAnswer: -0.2, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 - 48. Suppose -5*h - 6*h + 11 = s. Calculate the highest common divisor of 11 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 966?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -19*k**6\/20 - k**4\/4 + k**3\/3 - 91*k**2. Find the second derivative of o(f) wrt f.\nAnswer: -684*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 602 + 470 - 28*m + 32*m in the form t + f*m and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 i, and 1 a when four letters picked without replacement from uaagyaiawigwaiyauw.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11731 minus -23?\nAnswer: -11708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5291 rounded to the nearest one hundred?\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45380*n = 16294*n - 847261 + 3959463 for n.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxiijxxxoijxo. What is prob of picking 2 i?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**3 - 307*b**2 - 210*b + 150. Give k(103).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -235, -0.5, -5\/4, -1, 0.01 in ascending order.\nAnswer: -235, -5\/4, -1, -0.5, 0.01, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6076187 divided by 467399\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 175 divided by -175.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0705 + 29.647.\nAnswer: 29.7175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/11538 and -13\/528?\nAnswer: 1015344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 3:55 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**3 - 346520*m**2 + 7505103408*m - 15008820768 = 0.\nAnswer: 2, 43314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r + 1 - 1)*(0*r - r + 3*r) + (-13 + 14 + 41 + (-5 + 3 + 3)*(1 - 1 - 2))*(-2*r**2 + 7*r**2 - 3*r**2) in the form w + g*r**2 + j*r and give g.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*x + 8*x - 12*x)*(-x**2 + 0 + 0).\nAnswer: -42*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 5. What is the highest common divisor of q and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1827, -48, -1 in decreasing order.\nAnswer: 1827, -1, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 + 7663120*s - 53641595.\nAnswer: -5*(s - 1532617)*(s - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22230299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence att when three letters picked without replacement from ttttttaatatatttata.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i**2 - 3*i - 6. Let b(u) = 5*u**2 + 3*u + 6. Let h be (10\/3)\/((-6)\/9). Let w = h + 2. Let s(j) = w*b(j) - 4*g(j). What is s(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34065 + 34065 - 19*b)*(b**2 + 3*b**2 - 6*b**2) - 2*b**3 + b**3 - 2*b**3 to the form s*b + z*b**3 + r + p*b**2 and give z.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 143\/(-5*(-5)\/25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 4*x**2 + 56848*x - 170580 = 0.\nAnswer: -14215, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 685, 1375, 2065, 2755, 3445?\n\"Answer: 690*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -496*a + 491*a = -13995. Is a a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1907104*u**2 + 5505588?\nAnswer: -3814208*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 57*s - 1. Let j(k) = 341*k - 6. Let a(y) = -j(y) + 6*r(y). Let w(d) = 6*d + 12. Give -5*a(i) + w(i).\nAnswer: i + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g + 5. What are the prime factors of s(3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*z - 10, 4*x + 6 = 2*z - 0. Let l = 60 - z. List the prime factors of l.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 6*w - 2\/3*w**3 - 7\/12*w**4 - 1\/20*w**5 + 0 - 7\/2*w**2. List the prime factors of u(-7).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*h = -8, -2*h + 3*h = -4. Let p be 35868\/48 - 6\/(-8). Let o = p + -748. Solve -f*z - z = o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12854 + 11416 = 5*k. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 - u - 2. Let z be o(2). Suppose 2*w - z = 16. What are the prime factors of 5\/w + 38\/4?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -1\/4 (c) -0.2988 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106590 is divided by 94?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133243?\nAnswer: 11, 12113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 18 = -5*a, 2 = 5*m + 5*a - a. Suppose 5*l + 1863 = 2*w, -2*w = m*l + 794 - 2622. Does 83 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2633, 2629, 2627, 2627, 2629, 2633, 2639?\nAnswer: 2647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*y + 8. Let c(t) be the first derivative of t**3\/3 + 5*t**2\/2 + 1. Is c(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235, 927, 2087, 3721, 5835, 8435, 11527, 15117?\nAnswer: 19211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**4\/4 + 10*n**3\/3 + 8*n**2. What is the remainder when v(-6) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 9) to base 11\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a*d**2*l**2 + 8*a*d**2 + 20*a*d*l + 13*a*l**2 + 14*a + 600*d**2 wrt d?\nAnswer: 2*a*l**2 + 16*a + 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 1 - 25. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-6))\/(1\/(-15)). Suppose -2*a - k = -3*a. What is the remainder when 2 + -1*5*-3 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**5 + 0*l**5 + 3*l**5 + (-1 + 4 - 2)*(0*l**5 + 5*l**5 + 13*l**5) - 2*l**5 + 2*l**3 - 2*l**3 + 0*l**4 + 0*l**4 - l**5.\nAnswer: 17*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(144)\/sqrt(726))\/sqrt(12) + 2).\nAnswer: -10 - 5*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 + 533*g + 14959. Calculate r(-235).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven halves of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)*-3 - sqrt(65))*3)\/(sqrt(80) + (sqrt(80) - (sqrt(80)*2 + sqrt(80))) + sqrt(80) + sqrt(80) + sqrt(5)).\nAnswer: -12*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4160 is divided by 119?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -355 - 5907*a + 4*a**4 + 3*a**2 - 25*a**3 + 5907*a wrt a.\nAnswer: 96*a - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 - 68*y + 308. Let q be w(29). Solve 7*r = 3*v - 2, -5*r = -3*v + 5*v + q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 + g. Let w be c(-3). Solve 4*m - a + 21 = 0, -2*m + 5*a = -6*m - w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479817451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 660613.\nAnswer: 461, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 55e9?\nAnswer: 55e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a - 22. Determine w(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 22*b + 132. What is the hundreds digit of h(39)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*s**3\/17 - 30584*s**2\/17 + 23390642*s\/17 - 9351364\/17.\nAnswer: 2*(s - 1529)**2*(5*s - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-20) + 56\/(-10). Let i(l) = -5*l - 1. Let j(q) = 6*q. Let s(x) = 4*i(x) + 3*j(x). What is the units digit of s(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1005\/(-1340)*(-192)\/(-9).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -8*i - 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 35*q**2 + 44*q + 11. What is d(-36)?\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0, 22, -1, 2\/2635, 1\/9?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o = -10*o - 1020. Let s = o + -88. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41997 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-29)\/r)\/(r\/((r*r*r**(-48))\/r)))\/((r\/r**(2\/103))\/r*r**(3\/8)) assuming r is positive.\nAnswer: r**(-64565\/824)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 572\/(-156)*48\/44\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = h + 2, 3*h = 5*x - 2*h. Suppose -5*u - j = -585, 0 = 204*u - 205*u + 3*j + 101. List the prime factors of 4\/(-1) + x + u.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/3*(154\/(-63))\/(-22).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.444098 centuries in millennia?\nAnswer: 0.2444098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1106649 is divided by 791.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 57580*m + 403058. Give l(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) + (sqrt(1344) - sqrt(1344)*1))*1)\/((sqrt(336) + sqrt(336)*1 + sqrt(336) + sqrt(336))\/sqrt(3))*3.\nAnswer: 3*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j = -15*j - 4. Let z = 26 - 3. Solve -3*n + z = -2*q, n + 11 = -0*n - j*q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38051 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 2*r**2 + r. Let n be y(-1). Let q(p) = p**3 + 33*p**2 + 62*p + 3. Let x be q(-31). Put x, n, 1 in increasing order.\nAnswer: n, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -1\/6 (c) -0.025 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 4*j**2 + j - 5. Let p be s(4). Let a(t) = t**3 - 5*t**2 - 4*t - 6. Let z be a(6). Let f(v) = v**2 + z*v - 6*v + 4*v - 5*v. What is f(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) -175 (b) -0.5 (c) -4 (d) 12 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 434560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from dsgxyqxsxqyd.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 8. Let n(q) = 508*q**2 - 2*q - 31. Calculate -n(s) - 4*v(s).\nAnswer: -508*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/4 and 73\/428?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + 2*sqrt(114)*-2 - (sqrt(114) - (sqrt(114) + sqrt(114) + -1*sqrt(114)*1 + sqrt(114))))\/(2*sqrt(150)*-6).\nAnswer: sqrt(19)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22 or -2?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9\/10 of a millennium?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -25949.22 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-30))\/((3393\/52)\/9).\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.292 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 15*l - 10*l, -4*k - 14 = 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 44*h = 48*h + 12, -8 = -2*z + 3*h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 265 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vujquggguqpppqpuuu. Give prob of sequence ujg.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3105394 = -54*r - 144*r + 2164574. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108535416 and 6?\nAnswer: 108535416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 167aa (base 16) in base 12?\nAnswer: 4534a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 657 a factor of 11356902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187696, 375387, 563078, 750769?\nAnswer: 938460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1226 - 603. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7874*d = 7789*d - 3910 for d.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**5 - 136*h**4 + 122*h**3 - 766*h**2 + 3*h - 1 wrt h?\nAnswer: 120*h**2 - 3264*h + 732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11811 is divided by 1344?\nAnswer: 1059","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002061523766 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3025 and 550?\nAnswer: 6050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -33, -107, -221, -369, -545, -743?\n\"Answer: h**3 - 26*h**2 - 3*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -448 - -451 - ((0 - 1) + 14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 15 + 3. Suppose 0 = u*c - 7*c + 1020. What is c rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42025.25 tonnes to grams.\nAnswer: 42025250000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j + 0*j + 3*j)*(-3 + 3 - 1)*(-60 - 26 + 14 + 2*j) in the form g*j + c*j**2 + h and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 - -60. Let g(w) = w**3 + w**2 + w - 3. Let u be g(r). Calculate the highest common divisor of u and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07 - -0.47. Let o be (-2)\/(-10) - (-396)\/(-455). Let h = o - -5\/13. What is the nearest to 1 in h, 0.1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**4 + 12*o**4 + 3*o**4 + (-2*o**2 + 0*o**2 + o**2)*(-13*o**2 - 11*o**2 + 26*o**2) as l*o**3 + g + m*o**4 + a*o**2 + z*o and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/10563 and 19\/27.\nAnswer: 95067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**3 - 116 + 118 + 2*i**2 - 7*i**3 - 2*i**3 to o*i**2 + l*i**3 + z + x*i and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 3*v = -2*b - 18, 2*b + 166 = 4*b + 75*v + 496 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/107 + -220\/321. Which is the closest to t? (a) -5 (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**5 - 16*q**4 + 276*q**3 + 1136*q**2 - 1840*q - 2688 = 0. What is q?\nAnswer: -7, -6, -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25135 = 5*o - 0*o + 25095 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 6*q - 3*q. Let a = 18 - 5. Solve q = -5*x + a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -459 + 940*a**4 + 457 - 954*a**4 + 39*a**2 + 2*a in the form h*a + i*a**3 + j + t*a**2 + d*a**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4056323 and 353?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552 a factor of 25765615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 11:37 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 3:05 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/71196607 and 1\/4542.\nAnswer: 427179642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9*(1*-4 - -2). Let d be 2*(-3)\/(-12)*-24. List the prime factors of (d\/k)\/((-2)\/(-33)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518410?\nAnswer: 2, 5, 47, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 400\/16*(-8946)\/(-161525).\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114321313 (base 7) to base 15.\nAnswer: 9580ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/20412 and 103\/3941196.\nAnswer: 957710628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18622 + 31594. What is the least common multiple of 40 and j?\nAnswer: 129720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kekfkxxxkwxkwkxe. Give prob of picking 1 w and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (0 - 6 - (-3 - -1) - 6)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -544 + 214. Suppose n + 5*n = y. What is the highest common factor of n and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 85*i - 12. Let w(q) = 355*q - 47. What is -9*d(o) + 2*w(o)?\nAnswer: -55*o + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 142459415 and 29073350?\nAnswer: 1424594150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -1028*s**3 - 11*s**2 + 11*s + 710. Let f(r) = 343*r**3 + 4*r**2 - 4*r - 236. Let y(c) = 22*f(c) + 8*i(c). Differentiate y(j) wrt j.\nAnswer: -2034*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7)\/f*f**(-10)*f**12*f**(-2\/5))**35 assuming f is positive.\nAnswer: f**(-224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 25, 43, 61, 79, 97?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13\/222 + 7123\/2220. Calculate the common denominator of b and -81\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -319706, -639482, -959272, -1279082, -1598918, -1918786, -2238692?\n\"Answer: -t**3 - t**2 - 319766*t + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/11, -5, 1, -2\/5, -140\/9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/17)*l)\/(l\/(l**(4\/9)*l*l))*((l\/(l*l**6*l))\/l*l*l)\/(l*l\/(l**(2\/5)\/l)*l*l) assuming l is positive.\nAnswer: l**(-6329\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 46, 25, -6, -47, -98?\n\"Answer: -5*v**2 - 6*v + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -7837366318840.\nAnswer: -7837366318840.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1793 and 6031?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 + 58. Let n be ((20 - -2)*1)\/(c\/(-1)). What is the units digit of (0 + -21)*-3*n\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, 1017, 5, 16, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -59294 (base 10) to base 8\nAnswer: -163636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 501473 greater than 501477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 92601*d*h + 72584*d*n**2 + 2*d*n - 7*d - 10*h*n**2 wrt h?\nAnswer: 92601*d - 10*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -253 (base 12) to base 14\nAnswer: -1b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-90)*(-1647)\/976?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 115934218 a multiple of 797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 21107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 - 178*z**2 - 4214*z - 11094.\nAnswer: -2*(z + 3)*(z + 43)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004468 rounded to seven decimal places?\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.659 + 53.141. Round p to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*p + 306*p = -19 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 9870 to the nearest 100.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-7)\/n)\/n*n*n\/n**(3\/5))\/((n*n**(-2\/5)*n)\/((n\/(n**2\/n*n*n))\/n)))**41 assuming n is positive.\nAnswer: n**(-2296\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 9. Suppose -5*f + 29 = -3*t + 66, 1 = -t - f. Let g be -1 - (-1 + 2 + -9). Solve t = w*l - g*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**5\/60 - t**4\/4 + 4*t**3\/3 - 9*t**2. Give r(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 0 - -2 - (25 - 24)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 10 - (0 + 2 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = y, -100*y - 89 = -4*c - 95*y. Calculate the least common multiple of 704 and c.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 90*l + 221. Is r(45) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 394334766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -17*l**4\/24 + 11*l**3\/2 + 35*l**2. What is the derivative of v(w) wrt w?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 136\nAnswer: -5\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1487, -1488, -1489, -1490, -1491?\n\"Answer: -j - 1486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -28 and -1.284797.\nAnswer: -29.284797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w - 3. Suppose -16 = k + 3*k. Let b be t(k). Let z(l) = 2*l + 15. Let y be z(b). Solve o = -0 + y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5129, 5104, 5067, 5012, 4933, 4824?\n\"Answer: -y**3 - 18*y + 5148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 8:55 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -174 = -174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 9*t**2 - t + 2. Let f be i(-9). Suppose 0*q = f*q - 5456. Suppose -q = -5*y + 49. Is y a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 364*x - 28*x + 209 - 187 - 21.\nAnswer: 336*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/55)\/(1\/2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147135 and 15504?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8007\/26 + -308. Suppose -2*w - 2*h = 0, -h = -w + 5 + 1. Which is the second biggest value? (a) z (b) -5 (c) w (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*g**4 - 2*g**3 - 53207*g - 2579667 wrt g?\nAnswer: 12*g**3 - 6*g**2 - 53207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 - (95 - (-4 + 6)). Which is smaller: o or -92?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11701.5864 plus -282.1?\nAnswer: -11983.6864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/168)\/(48\/56).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cgbc when four letters picked without replacement from gggcbgcggcpcccg?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/5, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 3) + -307 + 318\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 467 + 406. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 7:21 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u - 4*u + 6*u + (-2 - 3 + 1)*(1 + 0 + 2)*(3 - 2*u - 3) as s*u + t and give s.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s - 8. Let c be t(4). Suppose 0 = c*u - u - 6. Suppose 3*l - 18 = 5*p + 15, -u*l + p = -22. Is l greater than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-240)*(-22)\/363*9.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -0.2, 4\/7 in increasing order.\nAnswer: -0.2, 3\/8, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/12 - (-20615)\/(-186). Let p = 111 + o. Factor -2\/3 - p*g**2 - g.\nAnswer: -(g + 1)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6172 = 2*z, 5*z = 4*t - 2*t + 15416. List the prime factors of z.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 586543810?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/12*28\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 0.063, -1\/9, 2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 156*q + 137*q + 4*q**2)*(-26 - 3*q**2 - 2*q + 26).\nAnswer: -18*q**4 + 45*q**3 + 38*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**42*q\/(q\/q**(-2\/11)))**(-41) assuming q is positive.\nAnswer: q**(18573\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 323, 4, -1, 2, -803, 0 in ascending order.\nAnswer: -803, -1, 0, 2, 4, 323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 13*c + 19. Let i be z(12). Which is greater: 11\/2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 247b3 - -9?\nAnswer: 247bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-18)\/(-3)*86\/774?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)*-1 - sqrt(35))*-3 + sqrt(140)\/sqrt(4)*-4)\/((sqrt(343) + -2*sqrt(343)*-2 - sqrt(343)) + sqrt(343)).\nAnswer: 2*sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -7 + 20 + -39 + 22 + 1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-1)\/(-30) + (-8)\/(-20)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5041999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 360*s**4 + 5*s**2 - 5*s**5 - 22*s**3 - 345*s**4 + 7*s**3.\nAnswer: -5*s**2*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0025 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i**2 - 13*i + 11. Let m(s) = -4*s**2 - 8*s + 3. Let f(x) = -x**2 - x - 1. Let n(j) = -2*f(j) + m(j). Let y(p) = 7*n(p) - 3*u(p). Factor y(l).\nAnswer: (l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 5:59 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 204 + -196. Let v(f) = -296*f**2 - 20*f + 73. Let l(y) = -444*y**2 - 32*y + 109. Let p(j) = q*v(j) - 5*l(j). Differentiate p(m) with respect to m.\nAnswer: -296*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -28 - -8 - (2 - -16).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 364541.414 to the nearest ten thousand.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2 + 3*g - 1. Let k(y) = 4*y**3 - 15*y**2 - 15*y + 5. Calculate the lowest common multiple of b(3) and k(5).\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138 and 2628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + 2*u**3 - u**4)*(0 - 2 + 4) - 157*u**2 + 309*u**4 + 157*u**2.\nAnswer: 307*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -64*i + 2. Let g(r) = 449*r + 6. Let a(d) = g(d) - 4*u(d). Let j(q) = 4*q**2. What is j(a(s))?\nAnswer: 1988100*s**2 - 11280*s + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11999 + 20984. Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55278 divided by 1.\nAnswer: -55278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**3 - 9 + 0*b**3 + 8 + (3*b**3 - b**3 + b**3)*(2 + 1 - 4).\nAnswer: -6*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53883189 + 0.5.\nAnswer: -53883188.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -93643.89?\nAnswer: -280931.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2872)\/(-17950))\/(4\/35)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3523 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hp when two letters picked without replacement from hyyeyyhyyhyyeyycyp?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 2:02 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 9:29 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*(sqrt(156) + (sqrt(156) - (sqrt(156) + 2*sqrt(156) + sqrt(156) + sqrt(156)))) + 2*sqrt(156)*2)\/((sqrt(768)*-2)\/(1*sqrt(576))))**2.\nAnswer: 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56*j**2*u**2 + 45*j**2*u + 11*j - 67813*u**3 + u**2 + 9111 wrt u.\nAnswer: -112*j**2 - 406878*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.2 - -3. Let i = 2 + -1.7. Let o = 132.059 - 128.059. Which is the fourth biggest value? (a) o (b) -1\/4 (c) i (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 35 + 25. Let m be 962 - (2 + a\/(-3)). List the prime factors of (-38)\/285 + m\/30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6 (b) 0.1 (c) 0.06 (d) -851.4 (e) -2 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 80300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1620 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 895*f - 34. Let d be w(6). Suppose -d + 958 = -2*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76828.55 rounded to the nearest one thousand?\nAnswer: -77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 3*s - 8 = 0, -48 - 77 = -23*h + 5*s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + 16576\/(-1295) + 13\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**2*o**3 - 200*n**2*o**2 + 34*n*o**3 wrt o?\nAnswer: -6*n**2 + 204*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 294*q**2 + 753*q - 2680. Give w(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4 - 2 = -3*q, 2 = -v + q. Let y be 18 - 17 - (v + -2). Solve -5*w - 2*c = -y + 17, 0 = -c + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -439, -2983, 4, 1, -5 in descending order.\nAnswer: 4, 1, -5, -439, -2983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 18*q**2 + 15*q + 36. List the prime factors of l(-17).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 47*v - 36091 = 5217. List the prime factors of v.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*v + 4*i, -13*v + 16*v + i = 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -6*c**2 - 47*c + 4. Determine n(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3 = -5*h, -2*h + 5*h = -3. Let l be -8*(10\/p)\/5. Suppose l*d = 3*d + 30. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13.993 in 6, 18, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184384 and 344?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1116832?\nAnswer: 2, 17, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 5*m**2 - 4. Let n(r) = -2 - 2 + 5. Let f = 128476 + -128472. Determine f*n(l) + x(l).\nAnswer: l**3 - 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000575497 rounded to 5 dps?\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -396?\nAnswer: -391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3726 - 485. What are the prime factors of g?\nAnswer: 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2. Let y(k) = 144*k + 5. Let u(d) = 576*d + 21. Let i(o) = -2*u(o) + 9*y(o). Calculate f(i(g)).\nAnswer: 62208*g**2 + 2592*g + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -239*d**2 - 47*d + 1. Let r(p) = -480*p**2 - 93*p + 2. Let t(q) = 4*r(q) - 7*u(q). What is the second derivative of t(b) wrt b?\nAnswer: -494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165517 + 13*t + 82761 - 2*t - 9*t + 82756.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 189, 0, -3\/4, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -317?\nAnswer: -317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -234 - -491. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 9) to base 10.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 27*r**2 + 29*r + 32. Let t be b(-28). Put t, 28, -2 in decreasing order.\nAnswer: 28, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 4*b = -5*d - 92, -5*d + 200 = -5*b. What is the greatest common divisor of 12 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79\/4 + 39\/2. Put 1\/3, t, -4, 0.18 in decreasing order.\nAnswer: 1\/3, 0.18, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5812 is divided by 167.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**3 + j**2 + j - 1. Let f be q(1). Suppose -f*o = -226 - 354. Let d = o + -72. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0778 and 0.1.\nAnswer: 0.00778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/4)\/(1\/114). Suppose 3*n - 6*n = -3*h + t, -3*n + 57 = 3*h. Solve 4*s + i - h = -0*i, 3*s - 16 = i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15345 in 0.01, 2, 0.3, 3, 2\/5, 11?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 3*h + 3. Let s be y(-4). Let x(b) = -50*b**3 + b**2 + b + 1. Is x(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.02, -1.5, 4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u + 2. Let c be k(-2). Let o be (-3 - 6\/c)\/(-2). Sort -1, -0.3, o in descending order.\nAnswer: o, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2592, 5188, 7780, 10368, 12952?\nAnswer: 15532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 165768038?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 - (-3 + 2 - (4 + 20\/8)). What is the second biggest value in z, 2\/5, 4\/271?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115037.\nAnswer: 13, 8849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.31 + 615.31. Let h = i + -607. What is the closest to -0.1 in h, -2\/7, 0.05?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -x - 12 + 19 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, x: 1, q: 11}. Give prob of sequence qxqk.\nAnswer: 385\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-994)\/49 - (-4)\/14. Let o be l\/6*606\/(-4). Suppose -o = -5*h + 4*x - 55, 0 = 4*h - x - 371. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1409484 is divided by 3332.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*m**4 + 36*m**4 - 9*m**4 + (3*m**2 + 0*m**2 - m**2)*(-82*m**2 + 15*m**2 - 398*m**2 + 2) to y + g*m**2 + o*m**4 + u*m**3 + n*m and give o.\nAnswer: -888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86649.77 kilograms to grams.\nAnswer: 86649770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 - 50*u**3 + 60*u**2 + 360*u.\nAnswer: 5*u*(u - 6)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 110 (b) 83779 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**4\/24 - k**3\/6 - 22*k**2 + 8*k. Determine i(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + 2*y - 2*y)*(2*y**3 - 3*y + 3*y) - 30*y**4 + 44*y**4 + 42*y**4 to u + q*y + r*y**2 + g*y**4 + v*y**3 and give g.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 896 - 895.7. Which is the closest to 1? (a) 59 (b) -1\/2 (c) 1\/8 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 15210010 = -5*q + 3*q, 3*q - 15210015 = -3*m. Round m to the nearest one hundred thousand.\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1051, -1352, -1853, -2554, -3455, -4556?\nAnswer: -5857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + -1*sqrt(156) + sqrt(156))\/sqrt(12) + -3 - (sqrt(13) + sqrt(325)*2)*-2)**2.\nAnswer: -138*sqrt(13) + 6886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1507 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: What is the next term in 140, 321, 598, 965, 1416, 1945, 2546, 3213?\nAnswer: 3940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27319.\nAnswer: 17, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -417 and 29.\nAnswer: -12093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(405) + -1)*6 + 5*(sqrt(405) + 0))*3*-3)**2.\nAnswer: -96228*sqrt(5) + 3972321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i + i + 2*i)*(29 + 56 - 145 + 60 - 4849*i) in the form n*i**2 + u + g*i and give n.\nAnswer: -9698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 58807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 5*c**4\/24 - 2*c**2 - 5. Let a(x) = -3*x. Give t(a(v)).\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*o**2 + 5*o**2 + 7 - 6 to z*o**2 + g*o + s and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4, 56, 0 in ascending order.\nAnswer: -4, 0, 7, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 15) to base 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16a638 (base 12) to base 14.\nAnswer: -a291a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from gggggggggggggugggggg?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 8:21 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 17 + 62 + f to the form a*f + q and give q.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*z + 2*z**3 - 8*z)*(3 - 7 + 2) - 418*z + 418*z + z**3 - 8 + (2*z**2 + 2*z**2 - z**2)*(2*z - 5*z + z) to l + u*z**3 + x*z**2 + m*z and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9517, -2\/9, 22, 1\/6?\nAnswer: -9517","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25 and 11797.78.\nAnswer: 294944.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 1 + 10*j + 5*j - 24*j + 10*j. Let d(o) be the third derivative of o**4\/12 + o**3\/3 + 41*o**2. Determine 2*d(i) - 2*f(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*s**3 - s**2 - s - 7*s + 11*s)*(-3*s**2 - 4*s**2 + 5*s**2).\nAnswer: -38*s**5 + 2*s**4 - 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -8.8, -2\/3, 80?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67 - 114. Let n = 10.5 - p. What is n rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76.4 + 72.4. Which is the second biggest value? (a) l (b) -66\/13 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from drrrkrkrk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/17 in -4, -1396, -5, -2\/9, -98?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 15 = 3*c, -4*g = c + 62 - 47 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 357765.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*x**3 - 929 + 2*x**2 - 917 + x + 1829 + x**3 + 3*x**3 - 2*x**3 + 2*x**3 + 1 - 1 + (-4*x**2 + 5*x**2 - 2*x**2)*(0*x + 0*x - x).\nAnswer: 12*x**3 + 2*x**2 + x - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -36*f + 33. Let d be m(-4). Let b = -175 + d. Solve -10 - 3 = w - 3*t, b*t - 3 = -5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -4\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 - 14 - 6*h + 29 + 8 - 1 in the form a + q*h and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 54\/(-3 + (-1 - -3)). Let i = t + 79. Suppose -3*m - 2*m = -i. Solve -m*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 348*n**2 + 134505*n - 134505*n as f + y*n + u*n**2 and give u.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -17 + (1 - -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tppjjt. What is prob of picking 1 t and 1 p?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78 - -52. What is the common denominator of u and 71\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*z + 19666 = 70469 + 174379. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*1*25\/10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2041 divided by -3?\nAnswer: 2041\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**4\/6 + 10*b**2 - 4*b. Let w(f) be the second derivative of 7*f**4\/6 + 32*f. What is w(h(n))?\nAnswer: 224*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**3 + r**2 - r**2 + (36 + 84 - 296)*(15*r**3 + 3*r**3 + 3*r**3) to k + p*r**2 + m*r**3 + w*r and give m.\nAnswer: -3694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1496893\/11 + -136079. Solve i + 18\/11*f**2 - 2\/11*f**3 - 40\/11*f = 0 for f.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(((-10620)\/3537 - -3)*3)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) -1\/6 (c) 0.4 (d) 5 (e) 4\/21 (f) 40 (g) -270\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - y**2 - 1 + 0)*(0 + 6 - 5).\nAnswer: y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a century in months?\nAnswer: 27000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 863 - 852. Solve -5*o + 14 = -g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1282, 1246, 1212, 1180, 1150?\n\"Answer: p**2 - 39*p + 1320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/7 + 9280*a\/7 - 74176\/7.\nAnswer: -(a - 9272)*(a - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1603477019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94826?\nAnswer: 2, 17, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0 (b) 119\/5 (c) -2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19700 + 393913\/20. Suppose 5 + 7 = i. What is the common denominator of g and ((-52)\/32)\/(2\/i)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -6.1. Which is the nearest to d? (a) 2 (b) 2\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83315505 divided by 793481?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 25*v + 41. Let z be t(26). Suppose -5*g = -f + z, 0 = 4*f + f - 3*g - 445. Is ((-437)\/f)\/(((-3)\/(-28))\/(-3)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/16017523 and 65\/16?\nAnswer: 256280368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (5 - (9 - (8 - 15 - -124))).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1268010*s**3 + 22*s**2 + 285284612.\nAnswer: -3804030*s**2 + 44*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -10000001?\nAnswer: -10000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*s + 66, -4*s - 4*q + 60 = -0*s. Let k = 10 + 0. Calculate the smallest common multiple of k and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -16) + 7 + -20.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1089 and 3\/1331.\nAnswer: 11979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5433969734.\nAnswer: 2, 6869, 395543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 1, -2*j = 2*z + 10 + 4. What is the least common multiple of 12 and 4\/j - 5\/(-15)*566?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, -82, -5, 5 in ascending order.\nAnswer: -82, -5, 5, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvjf when four letters picked without replacement from {j: 3, g: 2, b: 3, v: 1, f: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 3:00 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285756?\nAnswer: 2, 3, 23813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14582 = -5999*w + 5365*w for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 1499*n**2 + 68*n + 110. Is d(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*m = -6 + 302 + 34 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - -0.3. Let v = -6 + 3. Let m be ((-68)\/7)\/4 - v. Which is the second biggest value? (a) w (b) m (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 2:25 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 1*1*sqrt(300))*-4 + 0)**2.\nAnswer: 320*sqrt(3) + 4816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -504413 (base 7) to base 2\nAnswer: -10100111001101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 19. Suppose -5*d - 42 - 43 = 0. Let f be 1\/(-1) - (-16 - d). Put 1, f, 5, v in increasing order.\nAnswer: f, v, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14 - 1 - -1)\/(-15 + 14). Calculate the highest common factor of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 773177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*18\/24)\/((-26)\/((-11648)\/56)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(11) - (sqrt(11) - (sqrt(176) + -2)))*-2 - (-6*sqrt(99) + -3*sqrt(33)\/sqrt(3))))**2.\nAnswer: 936*sqrt(11) + 16875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlk when three letters picked without replacement from {k: 9, z: 4, l: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 - 9660 + l**2 + 9625)*(4 - 3 + 0).\nAnswer: -2*l**2 - 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.028 - -13.172. Let y = c + -10.2. Let k = -1.3 + 0.3. Which is smaller: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -3) + -3 - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 3) to base 10.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/29)\/(d*d**(29\/2)))\/(d**(-32)*d**(-6)) assuming d is positive.\nAnswer: d**(1309\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 2*z + 0*z)*(2*z + z + z) - 2*z**2 + 2*z - 2*z - 4*z**2 + 0*z**2 + 5*z**2 + (2*z + 1 - 1)*(0 + 2*z + 0) - 3*z**2 + 3*z**2 - z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 + 3*h**2 - 1070*h + 111*h + 959*h.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 9 = -l, 4*l + g - 2*g = -3. Suppose -5*v + 280 - 110 = l. Calculate the remainder when v is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/192 and 34\/91.\nAnswer: 17472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*v - 172 = -2162 - 606 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-13 + -5)) + -10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 1 (c) -2\/3 (d) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 16 = -x. Suppose 9*p - 4*p = 4*h - 100, 2*h = -5*p + 20. Solve -8*g + h = -x*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7598\/7 (b) 0 (c) 267 (d) -1\/3 (e) 0.1 (f) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 3. Let k(y) = 3*y - y**3 - 11*y**2 + v + 9*y**2 + 0*y. Let q be (-4)\/(-14) + (-16)\/7. Give k(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -199.4 + 83\nAnswer: -116.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 61, 135, 229, 349, 501?\n\"Answer: r**3 + 4*r**2 + 55*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*g - 10*g - 3. Let j be 4\/(-26)*g + (-918)\/(-221). Solve -j*l + 4*o + 40 = l, o = -5*l + 15 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33437*h = -66918*h + 33442*h + 702 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-2) - -2)*3. Let k be ((-8)\/a)\/(14\/21). Suppose 0 = 4*l - k*y - 384 - 488, 2*y = -4*l + 902. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1732038?\nAnswer: 2, 3, 7, 11, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2 - 7*w - 7 + 17*w.\nAnswer: 10*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 5*z**3\/6 - 3*z**2 - z + 681. Let k(s) = 3 - 6*s + 4 + 0. Give 4*j(f) + 3*k(f).\nAnswer: 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from {k: 2, r: 1, y: 1, u: 7, b: 1, v: 2}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 3 + 6)*(-2*j + 6*j - 2*j) + 12*j - 5*j + 11*j)*(-4 + 4 + 3)*(8 + 10 - 6).\nAnswer: 576*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 - 4*z**2 + 62*z + 138. Calculate p(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*h - 3*u, 2*h - 3*u = -u + 38. Let v = 1 + 0. Calculate the remainder when 43 + (2 - (2 - v)) is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/8 + 195*q\/8 - 1107.\nAnswer: -(q - 123)*(q - 72)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -0.3 (c) 6 (d) 2\/5 (e) -28 (f) -1\/6 (g) -346\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1130*-502.8.\nAnswer: -568164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -1\/7 (c) 10\/7 (d) 4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 - 4764?\nAnswer: -4742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5 = 3. Suppose 6*r - u*r = 0. Let g = 3 + r. Solve 2*a = -g*a - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445170 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290918.\nAnswer: 2, 145459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.04 (b) -11\/85894 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85 + 85.2. Which is the closest to k? (a) 0 (b) -2 (c) 0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*t**2 + 285*t**2 + 77*t**2 + 2053*t**2.\nAnswer: 2463*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 7*c - 5*s = 5, -3*s = -5*c + 3. Let g = 3 - c. Factor 50*d**2 - 18*d**2 - 3*d - 13*d + 28*d**g - 20*d**4.\nAnswer: -4*d*(d - 2)*(d + 1)*(5*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.09326 and -19807.0175.\nAnswer: -19801.92424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -18659 times 11?\nAnswer: -205249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/5*o**4 + 2\/5*o**3 + 0*o - 4\/5*o**2 + 0 = 0. What is o?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12856 in 0.1, -26\/7, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 10*g - 15. Suppose -3*m + 3 + g = 0. Calculate the greatest common factor of 5 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -700 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/3)\/s**(-5))\/(s**(-2))**(-7\/5) assuming s is positive.\nAnswer: s**(43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 273244 by -4.\nAnswer: -68311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.5 + 5. Let u = -0.5 + o. Let p be ((-2)\/(-4))\/(0 + (-7)\/14). Is u != p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 8123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*i*k**2*m + 33*a*i*k*m - 5*a*i*k + 379*a*k**2 + 76*a*m + 4*i*k**2 wrt k?\nAnswer: 4*a*i*m + 758*a + 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xii when three letters picked without replacement from {x: 1, v: 2, i: 2, l: 4}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 95 = 4*y, -5*j - 2*y + 86 = -29. Calculate the remainder when j is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 38*i**2 - 3*i + 11. List the prime factors of z(2).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 11*u**3 - 1 - 15 - 17*u**2 - 7*u**3 - 8*u**3 + 3*u**3 - 44*u. Determine q(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -3\/2, -2\/3, -1, 1\/3 in decreasing order.\nAnswer: 1\/3, -1\/3, -2\/3, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 19. Suppose 0*z + d = -z. Let q = z - -33. Solve 4*i - 5*x = 1 + q, -4*x = 4*i + 12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84*m - 78*m + 1208 + 161*m to the form y + w*m and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 8*m**2 - 9*m - 8. Let s be q(9). Let t = s + 22. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -0.1. Let p = -101\/585 + 4\/65. What is the closest to 1 in q, p, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 219\/18 + 2\/(-12). Let d = 7816 + -7740. Calculate the greatest common divisor of d and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -24013470 divided by 670\nAnswer: -35841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8\/25 of a gram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*t + 5*t**3 + 3086 - 3086.\nAnswer: 5*t**3 - 24*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-2 + 3)\/((-2)\/3). Let v = -473.2 - -473. Which is the closest to v? (a) -0.1 (b) y (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 336218711 to the nearest integer?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 8346*f - 17 - 8330*f - 7. Give w(17).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 8*m**2 - 6*m - 7. Let n be y(-4). Calculate the greatest common factor of n and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/(-2))\/(-3))\/4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -1\/45*n**6 - 22*n + 0 - 1\/6*n**4 + 1\/10*n**5 + 1\/9*n**3 + 0*n**2. Factor i(d).\nAnswer: -2*d*(d - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -27000*o**2 + 26756*o + 246. Calculate d(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t + 18. Let w(y) = 13*y + 73. Suppose -2*f + 16 = 3*d, -10*d = 4*f - 11*d - 4. Give f*w(o) - 9*c(o).\nAnswer: -o - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 33\/1677299 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9*0.02410241\nAnswer: -0.21692169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 3*s - 337*b + 334*b, -4*b - 4 = 0. Suppose i + 0*i = 3. Calculate the greatest common divisor of i and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.38, -1.1, 0.4 in ascending order.\nAnswer: -1.1, 0.38, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*r - 8, 9*r - 5*c = 4*r + 40. Solve -4*s + 9 = k - 5*s, -20 = r*s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*4*186\/12896\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 12, -4*k = -x - 3 - 0. Let u = 20 - 33. Let p = u + 62\/5. Put k, 2, p in increasing order.\nAnswer: p, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3267, -2\/15, 3\/5, 1, 1\/4, 2\/3, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 5 + -4 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 - 504*g. Let p(v) be the third derivative of v**4\/24 - 573*v**2. Calculate p(c(x)).\nAnswer: 2*x**2 - 504*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -0.3 (b) -4\/7 (c) 286 (d) -1\/78 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + q**2)*(-q + 0*q + 3*q)*(-31 + 31 + 10*q)*(4 - 11*q - 4).\nAnswer: -220*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-70)*2*-1. Sort 9, 1\/4, w in decreasing order.\nAnswer: 9, 1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 16 = 4*q. Let l(h) = -h**3 - 3*h**2 - 6*h - 4. Let i be l(q). Let t = i + -31. Let x(c) = c**3 - 5*c**2 + 2*c - 5. Calculate x(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2013353, -4026705, -6040057?\nAnswer: -8053409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - 8\/(-12)*69. Suppose 2*u - 3*j = 102, 2*j + b = -2*u + 126. Suppose 5 = -10*a + u. What is the remainder when a is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/c**(1\/8))*(c**(-1\/4)*c)\/c)**(-2\/101)*(c**1*c**(1\/4)\/c)**(-2\/37) assuming c is positive.\nAnswer: c**(-461\/14948)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 471892 divided by -1.\nAnswer: -471892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 26 = 20. Let j be (-11)\/g*(-3)\/(-17) - 0. Let v = -177\/221 + j. Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9159739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*r**3 + 23 - 23 + 21*r**3.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-3 + 2) - 5 - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 228*h + 229*h + 283 + 2*h**3 in the form a + u*h + m*h**3 + t*h**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - (-4)\/10)*10. Suppose 3*a = 13*a + 13*a. Suppose 1 - 27 = -2*g - 5*j, j = a. Solve 3*b = 4*n + h*b + g, 2*n = -b - 9 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.4 * -0.0284\nAnswer: -0.23856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18585222 by -2.\nAnswer: -9292611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 13) in base 3?\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1082, 0, 231, 2, -2, 106.\nAnswer: -2, 0, 2, 106, 231, 1082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18\/45)\/((-4)\/(-30)). Suppose -m = -3*b + 20, 7*m = -x*b + 10*m + 12. Solve 3 = -y + b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -72, -66, -54, -36?\n\"Answer: 3*w**2 - 3*w - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10000011110001100010101 (base 2) to base 6\nAnswer: -232314341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.013*15399.\nAnswer: 15599.187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 1\/12 (c) 2\/15 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 3508297.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437 is divided by 433.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 25725, 25717, 25707, 25695, 25681, 25665, 25647?\n\"Answer: -w**2 - 5*w + 25731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 197282551 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1872))**2 - sqrt(39)\/(sqrt(3) + (sqrt(3)*1 - sqrt(3))) - (sqrt(832) - (sqrt(832) + (-4 + (sqrt(832) - (sqrt(832) + 0)))**2)).\nAnswer: -sqrt(13) + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*s = 8, -5*d + 3*s - 5 = -15. Suppose 5 = -4*f - 5*c, 2*f - 2*c - 30 = d*c. Solve -4*h - 13 = -b, -7 = f*b - 2*h - 0*h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -296, -5, 3568 in decreasing order.\nAnswer: 3568, -5, -296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 487358983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 0.04, 32, 2\/3 in descending order.\nAnswer: 32, 4, 2\/3, 0.04, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 minus -157?\nAnswer: 156.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 30 = 9*p, -229*m + 231*m + 6 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8631816?\nAnswer: 2, 3, 457, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1218109 - -104886.\nAnswer: -1113223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015 times 0.0455?\nAnswer: 0.0006825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 1 - (-4 - (-2 + 17 - 21))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -10*17\/(-680)*2. Factor -c + w*c**2 + 0.\nAnswer: c*(c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -356*k*o**2*v**2 + k*o**2 - 410*k*o*v wrt v.\nAnswer: -712*k*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4*q - 121, -v - 3*v - 568 = 5*q. Round v to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 7*s**2 + 1. Let z be r(-7). Suppose -46 = -5*y - z. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 884 and 23691319.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37088 greater than 37089?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 19 (b) 3 (c) 2\/5 (d) 1\/8 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 1)*(3*t + t - 2*t)*(-58*t - 20*t - 19*t)*(3 + 6 - 3) to the form o*t**2 + b + d*t and give o.\nAnswer: 2328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4955 + -10234. Let x = t - -7932. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 9 = y + 3, 0 = 5*l. Let c = 157 - 154. Let u be (-1 + -1)*(-9 + c). What is the highest common divisor of y and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*g + 16*g**6 + g**2 + 0*g - 23*g**6 wrt g?\nAnswer: -840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/75 (b) 0.1 (c) 0.4 (d) -0.07 (e) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((180\/54)\/((-4)\/(-6)))\/5*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - n - 5. Let z(q) = -1. Calculate r(s) + 2*z(s).\nAnswer: -s**2 - s - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/(-6) - 2\/3. Let s(b) = b**3 + 4*b**2 + b. Calculate s(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2 = -4*f - 15, -2*h = 5*f - 25. Suppose -8 = -4*l, 4*c = -4*l - 5 + 25. What is the first derivative of h - 4 - c*o**2 + 3*o**2 + o**4 wrt o?\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3 - 3 - 1 + 1 - 1 + (3 - 6 + 1)*(-3 + 0 + 1) + 0 - 2 + 3 - 3 + 2 - 1 - 4 + 0 + 2)*(4*z - 3*z + 0*z)*(-1890 + 1213 - 1195) as i + r*z and give r.\nAnswer: -5616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529148613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1793 - -1793. Sort x, -1, 34, -3, 1 in decreasing order.\nAnswer: 34, 1, x, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 150*l + 83. Is h(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*p = -4*p - 2, 2*q + 8 = -3*p. Suppose -30 = -2*a - q*o, o = 2*o + 4. Suppose l - a = 7. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, n: 1, u: 1, d: 2, j: 1}. Give prob of sequence nu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21.3 + -21. Let h = 0.1 + -0.6. What is the third biggest value in h, -3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - 5*(sqrt(156)*-3 + sqrt(156) + sqrt(156)))\/((sqrt(108)\/sqrt(3))\/sqrt(3)).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 673934?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/231 and -43\/15?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3340501711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6076.91 plus -0.15?\nAnswer: 6076.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b**2 - 4*b - 4. Let x(z) = 5*z**2 - 3*z - 3. Determine -3*g(i) + 4*x(i).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 254838463?\nAnswer: 254838464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n + 3 - 3)*(4 - 1 - 2 + (0 - 4 + 3)*(-1 + 4 - 4) + (4 - 3 - 2)*(-34 + 4 - 4)).\nAnswer: 216*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 47*z**2 + 271*z - 3650. Calculate w(-36).\nAnswer: 850","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1151 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.9 - -0.1. Suppose -4*h = -0 + 12, -3*c + h + 6 = 0. What is the third smallest value in u, c, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*t = -30, 0 = -2*g + 4*t - 1 + 19. What is the units digit of (2\/(-5))\/((-2)\/g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 767900 rounded to the nearest 10000?\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**15*i)\/i**(-11\/4) assuming i is positive.\nAnswer: i**(79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 199, 279, 337, 367, 363, 319, 229?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5) - -3*sqrt(45)) + 0 - (5 + sqrt(20)\/sqrt(4) + -3*sqrt(10)\/sqrt(2)))*-2)**2.\nAnswer: -480*sqrt(5) + 2980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3985.55 greater than 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w + 277. Is j(16) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27616 + -4?\nAnswer: -27620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -50 or -60?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oozogzozgz. Give prob of sequence zzoz.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 33*t + 45. Calculate x(-7).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/35, 2, -0.2, -4, 2\/9, 15\/131 in decreasing order.\nAnswer: 2, 2\/9, 15\/131, 4\/35, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 1.9 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297834 is divided by 4504?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 1092?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 814943343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**3 + 0*m**3 + 2*m**2 + 5 - 4*m**2 as l + t*m + y*m**3 + s*m**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -243, -487, -735, -987, -1243, -1503?\nAnswer: -1767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b61 (base 12) to base 4\nAnswer: 121321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 18*f - 14*f. Let c(j) = 3*j - 7. Let n be c(f). What is the greatest common divisor of n and 264?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 535231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -37.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26597447\/624 + -255743\/6. Let p be (-60)\/256*4\/(-9). Let n = u + p. Is n < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/8, 702, -2.3, -46?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**3 + 4*s**2 + 3*s. Let z be (-2)\/((-6)\/(-36)*26 - 5). Let b(c) = c**3 - 9*c**3 - c + 3*c**3 + 4*c**z. Give a(p) + 3*b(p).\nAnswer: -p**3 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 + 1 + -1 + 30 + 2 + -35 + -1.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x - 4. Let g(j) = -j**2 - 13*j + 16. Let d be g(-14). Let o be q(d). Sort 3, o, -7\/8.\nAnswer: -7\/8, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - w + 8*w)*(5*w - w - w)*(-1 - 3 + 2).\nAnswer: -54*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86546 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 152 and 438501.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2693119572.\nAnswer: 2, 3, 11, 13, 149, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((4\/3)\/((-28)\/42)). Let o(w) = 3*w - 21. Let s(q) = q - 10. Let v(u) = -2*o(u) + 5*s(u). Determine v(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 6804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14478, 14469, 14456, 14439, 14418, 14393, 14364?\n\"Answer: -2*p**2 - 3*p + 14483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 105142554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-1)\/(1\/3). Let w(r) be the second derivative of -1\/2*r**2 + 5*r + 0 + 1\/3*r**3. Give w(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 a when two letters picked without replacement from {k: 3, d: 3, a: 1, o: 5, j: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-7))**(-1\/20)\/(r**8)**36)**17 assuming r is positive.\nAnswer: r**(-48909\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29878*z**2 - 98924*z**2 - 56887*z**2.\nAnswer: -125933*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*w - 8*w. Let c(y) = -y**2 - 3*y. Let m(x) = -x. Calculate w*c(a) - 4*m(a).\nAnswer: -a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38527.31078 - 38527. Let b = g + -0.110768. Let p = b + -0.2. What is p rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4570 divided by -914?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -24.85. Let r = l + 0.15. Which is the closest to r? (a) -0.1 (b) -1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**2 - 31*z - 9. Let x be s(11). Let r(j) = 3*j**3 - 40*j**2 + 13*j + 7. Let g be r(x). Solve 0 = 5*d - 4*l - 0*l - 22, l + g = 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1588940 = 184*u - 3817596 + 152600. List the prime factors of u.\nAnswer: 2, 3, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 1:02 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/54851321 - -33239911984\/314243218009. Let z = y - -4\/337. Sort -5\/6, z, 0.5.\nAnswer: -5\/6, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - p + 1. Let i(s) = -3*s**2 - 7*s - 2. Let k(x) = x. Let d(o) = -3*i(o) - 21*k(o). Let l(u) = 6*a(u) - d(u). Solve l(c) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4\/3 - 38950*u**3 + 303692660*u**2 - 2376360741470*u\/3 + 16500957119045.\nAnswer: 5*(u - 7783)**3*(u - 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010000100100001010 (base 2) to base 15.\nAnswer: 67b99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -9*f**8\/56 - f**4\/2 + 3*f. Find the third derivative of n(x) wrt x.\nAnswer: -1080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 26. Let m(o) = -o + 22. Calculate the remainder when m(10) is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.6 (b) -2\/5 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 - 10733*r + 10733*r - 34*r**3 to the form w*r + n + y*r**2 + g*r**3 and give g.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2\/(-4*2\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 1:01 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/49 + (11\/7 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 12, i: 6}. Give prob of sequence rrir.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 230312220 (base 4) to base 3\nAnswer: 100100000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/30*((-8)\/3)\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 11:23 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000604707 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 3. Let t(q) = -3*q + 21550071 + 26*q - 21550070. Calculate t(n).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from yywyewyyyuwurewwyww.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4976, -10221, -15466, -20711, -25956, -31201?\nAnswer: -36446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -926*s + 1399. What are the prime factors of k(-10)?\nAnswer: 3, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umcdmhuccdhhhcucmmhm. Give prob of picking 1 d, 1 h, and 1 m.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*h + 2*w, 0*w = h + 3*w + 1. Suppose 13*i = h*i - 4. Suppose 4*r - 2*a = 695 - 45, -i*a + 12 = 0. List the prime factors of r.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10580 and 975852?\nAnswer: 2581128540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**2*k**2 + h**2 + 41*h*k - 6*h + 7619*k**2 wrt h?\nAnswer: 4*h*k**2 + 2*h + 41*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, v: 7}. Give prob of picking 1 v and 3 i.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -19\/2*q - 1\/2*q**2 - 30 = 0. What is q?\nAnswer: -15, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1401612?\nAnswer: 2, 3, 271, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + 42. Let z = -68 + j. What is the third smallest value in z, -17\/7, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2. Let d(v) = 15*v**2 - 19*v - 4. Let w be d(14). Suppose 19*l = 24*l - w. Let c(k) = -26*k**2 - l + 534. Determine p(c(b)).\nAnswer: -1352*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 80, 69?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.17 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 6*(-2 - 2)\/(-12). Let o(n) = -n**3 + n**2 + n + 5. Let s be o(l). Suppose -812 - 893 = -s*y. Calculate the greatest common factor of y and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 6253812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 2*l**2 + 0*l**2)*(2*l**3 + l + 4*l**3 - 3*l**3).\nAnswer: 3*l**5 + l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -264142794, -264142793, -264142792, -264142791, -264142790?\nAnswer: -264142789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2176 and 1700?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 11 = 2*p + 4*c, -4*c - 20 = 0. Solve p*j - 3*o = 8, o + 3*o = j + 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 596191 divided by 8.\nAnswer: 596191\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 8 (c) 0.58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 949\/15 + -308\/5. Let p = 0.06 - 0. Let r = -0.1 + -0.2. What is the smallest value in r, p, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 14.7.\nAnswer: -14.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -87*-5*10\/150. What is the greatest common factor of 1044 and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 + 801. Let r(w) = -2*w**2. Determine l(r(g)).\nAnswer: -8*g**4 + 801","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.4, 238, 3, -0.11, 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 376\/14 - (-5 + (-570)\/(-105))\/(-3). Solve 4*f + v*f + 217 = 0 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 - 2014?\nAnswer: -2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22151?\nAnswer: 17, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4 (b) -44 (c) 1\/5 (d) 1.03 (e) -2.4 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -1. Suppose -3*q = 2*q + 2*t - 25, -q = -5*t + m. Solve -12 = -q*g - 3*y, 0 = -2*y + 3*y - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*z - 1377 = 34*z. Calculate the remainder when 85 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/24)\/(2\/(-8)). Let s(d) be the first derivative of 15*d**4\/2 + d**2\/2 - d + 1. Let w be s(i). Calculate the greatest common factor of w and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5794.408 * 1\nAnswer: 5794.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 2*w + 177. Suppose -4*b + 2*o - 5 = 1, -3*b + 6 = 2*o. Is f(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1090596 and -0.384245.\nAnswer: -1090596.384245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006434 rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2709492 less than 1?\nAnswer: -2709491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 169 + -139. Solve 0*f - 6*f = y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (425\/170)\/((-18)\/(-12))*6*-1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 38118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 7819605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a5a67 (base 14) to base 5.\nAnswer: 334204304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 1\/(-3) + (-1067)\/(-33)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (-2 - 5) - (-46 - (-15 - 0))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.6085525 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -18405792 divided by -4\nAnswer: 4601448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 y when two letters picked without replacement from rycycrrxxrrrc?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1366975 + -3?\nAnswer: -1366978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-3 + sqrt(272) + (sqrt(272) - (-1 + sqrt(272) + -1)))*6)**2.\nAnswer: -864*sqrt(17) + 29484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 754499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1074449918 + -1074449879.00000072. Let o = -39 + m. Round o to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/46)\/(h\/(h*h\/(h**24*h)*h))*(h**(8\/7)*h)**(-2\/7) assuming h is positive.\nAnswer: h**(-53271\/2254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -260*b - 1078. Does 45 divide n(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/6980083 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14161 is divided by 154?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8984 or -62886\/7?\nAnswer: -62886\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirty-one halves of a second?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -192.\nAnswer: 19\/192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 0*w + 2*w + 64, 5*h - w - 62 = 0. Let j be 18\/h*(-1)\/(-6). Sort -0.4, j, 1\/3 in ascending order.\nAnswer: -0.4, j, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 6*c**5 - 641261*c**4 + 8869974*c**3 - 36867960*c**2 + 24043300*c + 93505125 = 0.\nAnswer: -7\/6, 5, 106863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 573, 597, 623, 651, 681?\n\"Answer: b**2 + 21*b + 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 - 126*y - 569. Let n be k(-5). Let g(q) = -3*q**3 + 34*q**2 - 10*q - 6. Give g(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6720 - 87402\/13. What is the third biggest value in -0.3, 0, m, -2\/57, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186582?\nAnswer: 2, 3, 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwiwwwwwwiiwiuwwwiw. What is prob of picking 4 w?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l + 113. Let q = 26 - 26. What is the units digit of s(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -287866.8639 rounded to the nearest ten?\nAnswer: -287870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -360, -359, -356, -351, -344, -335?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 - 517 = -32*d. Let f = d + -173\/8. Find y such that 1\/8*y**4 - 1\/8*y + 0 + 3\/8*y**2 - f*y**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 19*i**2 - 14*i - 70. Let o be s(18). Let n(k) = -k + 6. Let b(r) = -2. Let l(q) = -5*q - 3. Let j be l(-2). Give j*b(h) + o*n(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.382, 0.4, 4\/7, -0.2?\nAnswer: 2.382","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-6) - 11\/66)*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117)*1 - sqrt(117))*4 - (sqrt(117)*-2 + sqrt(117))*-3)\/(sqrt(225)*2 - sqrt(36)\/sqrt(36)))**2.\nAnswer: 1053\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w - 3*w + 560 = 0. What is the least common multiple of 12 and w?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 407*f**4 - 261*f**5 - 462*f + 130*f**5 - 290*f + 133*f**5 wrt f?\nAnswer: 40*f**3 + 4884*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2843?\nAnswer: 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2\/(r*r**3))**(-38)\/((r**3)**(-2\/55))**(-50) assuming r is positive.\nAnswer: r**(776\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 70.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2\/61 (b) 1\/6 (c) -0.3 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*i**2 + 136*i - 126.\nAnswer: -2*(i - 1)*(5*i - 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 1269*q**3 + 11*q**2 + 2438. Let z(f) = -423*f**3 - 4*f**2 - 813. Let i(g) = -4*b(g) - 11*z(g). Differentiate i(a) wrt a.\nAnswer: -1269*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-4*(-13)\/(-52))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -280*d**2 + d + 853. Let p(t) = -2*t. What is p(a(y))?\nAnswer: 1120*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*h - 6, 11 = 4*h - 5*w + 3. Let l be 8 + (-1)\/1 - h. Suppose 2*g = l*g - 231. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 - 1 - 2 - (1 + -1). Suppose 0 = 3*y - k - 12, -h*k - k = -3*y + 12. Suppose -y*w + 2*w = -6*w. Solve c + g - 3 = -w*g, -3*c + 2*g - 16 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70 - 86. Let j be (-21)\/(-4) + 4\/b. Let s be 5\/10*-2 + 2. Which is bigger: j or s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, 34, -1 in ascending order.\nAnswer: -4, -1, 6, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9813180 less than -5817?\nAnswer: 9807363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 2 - -3) + -3. Suppose m = 2*q + 24, f*q = m - 4*q - 26. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2529748*g**3 + 897410?\nAnswer: -7589244*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(425) - (-1 + sqrt(425))) + sqrt(425)) - (-6*-2*sqrt(17) + (sqrt(102)*2)\/sqrt(6)))**2.\nAnswer: -16*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - (-31 + 23 - (-12 - (-5 + 0)))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: 4.13+28614\nAnswer: 28618.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1179a37 (base 12) in base 9?\nAnswer: -6346727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78 - 78. Suppose -5*u - s + 15 = i, -u + 7 = 2*s - 5. Let t(g) = g**2 - 3*g + 1. Determine t(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**3 + 0*q**3 - q**3)*(1 - 1 + 2*q**2 + (4*q**2 - 2*q**2 + 0*q**2)*(-1 - 1 + 1) - 4 + 4 - q**2).\nAnswer: 4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 992536.1 millilitres?\nAnswer: 992.5361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/30)\/((-14)\/12). Is 2\/47 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75 - 234. Let j be (-3)\/12 - i\/(-12). Let a = 29 + j. Is a at most 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19160 divided by -958\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 140691 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**3\/15 + 62*u**2\/15 - 32*u\/3 - 32\/5 = 0.\nAnswer: -1\/2, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-202)\/14)\/((-1430)\/(-1001)) + 10\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -598*l = 3*x - 593*l - 140, -3*x = -4*l - 104. Solve 14*o - 12 + x = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8\/19 (b) -4\/3 (c) 2\/9 (d) -1\/9 (e) 94\/9 (f) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55918 - 3914377\/70. Find the common denominator of l and 149\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16\/5*x + 16\/5*x**4 + 12\/5*x**3 - 16\/5*x**2 + 0 + 4\/5*x**5 = 0. What is x?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1794 and 30.\nAnswer: 8970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttattattaattttttt. Give prob of sequence ataa.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-9)\/p)\/p)\/(p*p**17*p*p*p) assuming p is positive.\nAnswer: p**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74615 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/2 + 77*r**2 + 2080*r + 15616.\nAnswer: (r + 16)**2*(r + 122)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**6 - 3*c**4 - 107*c**3 - 2*c**2 - 34*c - 154?\nAnswer: -120*c**3 - 72*c - 642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72.941 - 73. Let g = 0.05314 + k. What is g rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1649\/194*(-656)\/11849?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 3:09 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -13793*313.24\nAnswer: -4320519.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/6 + 25132*h + 947426136.\nAnswer: (h + 75396)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 4 - (-6 - -6). Let n(g) = g**3 + 2*g**2 + g - 2. Let i(x) = x**3 + 3*x**2 + 2*x - 3. Let b(l) = j*i(l) + 3*n(l). Solve b(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5219, -5218, -5217?\nAnswer: -5216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.6671 + 6.7671. Let w = 20\/21 - 218\/273. Which is the nearest to t? (a) 2 (b) w (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-5)\/1080)\/((-10)\/(-40)).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide ((-255012)\/395)\/(1\/(-1 - 24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10179.1427 - 10179. What is the closest to -0.1 in 2, -0.5, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58510 - 7705 = 9*x. List the prime factors of x.\nAnswer: 5, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 13 = 71. Is t a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 4*(sqrt(243) + 0))**2 + 3.\nAnswer: 6078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, p: 2, v: 7}. Give prob of picking 3 v and 1 p.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.933 and -0.58772.\nAnswer: 0.54834276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 615 and 50.\nAnswer: 6150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3000*q**2 + 967243 + 278986*q + 321014*q + 5*q**3 + 39032757 = 0 for q.\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 205979410?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 391234 divided by 983.\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -12790889*p. Let c(h) = 2*h. What is b(c(k))?\nAnswer: -25581778*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59 - -35. Let q be 16\/k - (-10)\/6. Let j(f) = -q + 2*f - f - 6 - 2*f**2. Let a(g) = 4*g**2 - 2*g + 15. Calculate -6*a(z) - 13*j(z).\nAnswer: 2*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 4051467.\nAnswer: -4051466.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11515822 and 319412?\nAnswer: 3398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -0.2, 3.\nAnswer: -0.2, 3, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 84*q**4 - 14455*q**3 + 149*q**2 + 16*q + 10.\nAnswer: 2016*q - 86730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*x - 19 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.25 - 1.3. Let p = 3.45 + i. Let f = 0.6 + p. Sort -0.1, -1, f.\nAnswer: -1, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 24 - (0 + -10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 14*y**2 - 15*y + 8. Let s = -19 + 6. Let z be c(s). Suppose 0 = 5*t - z + 14. Solve i + t = -1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011100101001000000110 (base 2) in base 11?\nAnswer: 1793806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/4)\/(i\/(i**(1\/5)\/i*i)))\/(i**(-7\/2)\/((i*i**(-8))\/i*i)) assuming i is positive.\nAnswer: i**(-91\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 16, -3, 9, -81.\nAnswer: -81, -3, 4, 9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 87102050 and -4?\nAnswer: -348408200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 9 - -3) + (-3 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15824125 or 15824124?\nAnswer: 15824124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.2, 1\/5, -2\/11, 6 in descending order.\nAnswer: 6, 3.2, 1\/5, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25517, -102082, -229685, -408326, -638005?\nAnswer: -918722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**3\/3 - 4343*x**2\/3 + 34808*x\/3 = 0.\nAnswer: -4351, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pkbxbkbkobxb. What is prob of sequence okk?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 6 = g, 2*v + 22 = 6*g - 3*g. Let u(s) = -3 + 0*s + 3*s + 8 + 0 - 4. Calculate u(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 34. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2678*u - 67 - 1340*u - 1338*u - 2*u**2 in the form n*u**2 + x*u + h and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -15*j**2 - 34*j - 19. Let m(v) = 8*v**2 + 15*v + 8. Give -14*m(g) - 6*s(g).\nAnswer: -22*g**2 - 6*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-2))\/((-2)\/(-8)). Let q be (-3 - -1)*(-9 + i). Let f = q + -8. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 885759?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 394790 to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**3\/11 - 4*u**2\/11 + 30*u\/11 + 72\/11 = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 19. Differentiate 3*z**2 + 0 + g - 3 wrt z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 7*s**2 + 24. Let x(o) = 374*o + 1128. Let g be x(-3). What is v(g)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5335, 10676, 16019, 21364, 26711?\nAnswer: 32060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6862, 6875, 6892, 6913, 6938, 6967?\nAnswer: 7000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -13588298 >= -13588329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 633864.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((42 - 48 + 40)*(-5*t + 2*t + 2*t) + 3*t - t - t + (4*t - t - t)*(0 + 1 + 2))*(-2 + 1 + 6).\nAnswer: -135*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*q - 5*w = 161*q + 5, -w = 4*q - 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-178)\/(-4))\/((-2)\/4). Let m = 43 - 75. Let r = m - a. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - s = 8, -10*p - s = -6*p. Which is smaller: 7\/37 or p?\nAnswer: 7\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4 = -2*l + 5*l, 4*h + 4*l = 0. Suppose -2*f = -4*p + 20, p - h = 3*f + 2*p. Let x = 10 + -13. Is x smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/20*(-12)\/9*(-45)\/(-10).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.843023 rounded to one decimal place?\nAnswer: 32.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.866747 times 0.01\nAnswer: -0.00866747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2567 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -540, -593, -656, -735, -836, -965, -1128, -1331?\n\"Answer: -r**3 + r**2 - 49*r - 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -362 - -361.9. Let n(y) = 2*y - 6. Let v be n(4). Let i be 3 + (-4)\/v + -2. Which is the nearest to 2\/3? (a) w (b) 0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -5\/6, 2\/3, -0.2, -0.07?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1 + (-16 - -12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - (-2 - (-47 + (-62 - -30))).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-90)\/(-12))*0\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 828681*u + 5800770. What is l(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {t: 3, m: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*d + 810. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -89, -621, -1587, -2993, -4845?\n\"Answer: -v**3 - 211*v**2 + 108*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -26. Let o = d + -6. Which is the nearest to 0? (a) 0.3 (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -190*h + 5. What is o(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 minus -5.58?\nAnswer: 6.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 - 0.39. Let n = -0.3 - w. Let s = -2.9 + 3. What is the nearest to n in 2\/3, s, -0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340105 to the power of 1\/2, to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -263743.9896 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) -2\/23 (c) 3 (d) -17 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 484 + 8*i - 484 to the form s*i + n and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 4*f**2 - 4*f + 4. Let u be t(3). Let w be (3*(-1)\/2)\/3. Which is bigger: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, c: 4, o: 1, g: 1, f: 8}. Give prob of picking 2 f, 1 c, and 1 o.\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**4 - 4*z + 4*z + (4 - 2 + 0)*(4*z**4 - 3*z**4 + 0*z**4) - z**4 - 3*z**4 + 5*z**4.\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 4:52 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4371073 (base 8) in base 16?\nAnswer: 11f23b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13415, 26563, 39431, 52019?\n\"Answer: -140*k**2 + 13568*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.167072673 to 3 dps.\nAnswer: -0.167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + n - 3, 5*c + 5*n = 3*c + 15. Suppose -z + 28 + 8 = c. Let r = -1 + z. What are the prime factors of r?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 306, -3110, -6516, -9906, -13274, -16614, -19920, -23186?\n\"Answer: u**3 - u**2 - 3420*u + 3726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 342, 687, 1026, 1359?\nAnswer: 1686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/9 - 2\/9*q - 2\/9*q**2 = 0. What is q?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2140282.\nAnswer: 2, 41, 43, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/25727569 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -161531158?\nAnswer: 161531161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 73 = 4*l, -4*l + k + 7 = -3*l. What is the tens digit of (l\/(-10))\/((-12)\/520)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/7*-4)\/((-2)\/14). Let t be 742\/18 + ((-68)\/(-18) - m). What is the third derivative of -18*r**2 + 33*r**2 - 4*r**3 + t*r**3 + 18*r**2 wrt r?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 486.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 2 - (-2 + 44\/8). Which is the nearest to -2\/13? (a) 0.1 (b) 4\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*d**2)*(0 + 2*d**3 + 0) + 12*d**5 + 22*d**2 - 22*d**2.\nAnswer: 18*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2688977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (-3 - ((-24 - -22) + (-2 - 3))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13985 (base 15) to base 12.\nAnswer: -30498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 348.\nAnswer: -3, 3, 348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 6*u + 1752. What is j(-45)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 12 = -6*s. Solve 5*i + 5 = n, 0 = -4*n - 4*i - s - 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 485*t*w**2 + 8*t*w + 3*t - 52462*w**2 wrt t.\nAnswer: 485*w**2 + 8*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 26 = z. Solve -3*l + r - 2 - z = 0, -3*r = 4*l + 22 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 228 = 4*m - m, -g = -2*m + 57. Let x = g + 119\/2. Which is the second smallest value? (a) x (b) 5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f + f**3 - 2 - 2 + 4 - 3*f**2. Let t be p(2). Solve -1 + t = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 75*(5\/(-50))\/(1\/(-2)). Solve -21*x + 23 = -5*d - 20*x, x - f = 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/57 - -119\/285. Let k = 109 + -873\/8. Suppose 14 = -2*y - 5*o, 4*y - 20 = -2*o + 4*o. What is the second biggest value in 4\/5, k, t, y?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8\/3, -1\/6, -0.8?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -4 + 1 + 9 + -12 + 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 205?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/2)\/r**8)\/(r**11*(r\/(r*r\/(r*r*r**(3\/14)*r)))\/r) assuming r is positive.\nAnswer: r**(-145\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**3 - 148*h**2 - 117*h + 2112. Calculate z(-73).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 3*k**2 + 19*k - 7. Let i be v(6). Is i bigger than 1366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 18 = -3*p, 70*p = 75*p - 3*f - 14. Let i(z) be the first derivative of -z**3\/3 + 3*z**2\/2 + 3*z + 1. What is i(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((42\/(-24))\/(-7))\/(16\/64)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k - 25. Let z be g(-11). Let y = 34 - z. Sort -5, 0.3, -2\/13, y in decreasing order.\nAnswer: y, 0.3, -2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 3.2. Let i = 0.3 - s. Let y be (3\/(-30))\/(2\/8). What is the third smallest value in -3, y, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i**(-3\/16)*i)\/i*i*i\/i**5)**40 assuming i is positive.\nAnswer: i**(-95\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooodddo. Give prob of picking 2 o.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 7\/5 (c) 705\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005834 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 1283*p - 2116. Is h(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + ((-19)\/(684\/(-400)) - 8) + (-27 - -29)?\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -325, -1, -0.05.\nAnswer: -325, -1, -0.05, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((5\/(-2))\/(-35*16\/840))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 414, 671, 914, 1137, 1334, 1499?\n\"Answer: -m**3 - m**2 + 267*m + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l**2 + 5*l - 16. Let x(b) = -4*b**2 - 2*b - 1. Let w(s) = x(s) + y(s). Determine w(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v + 20. What is the closest to 1\/7 in 4, 3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1431590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + (-12 - -9) + 2 - 0) + 22.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1613 or 3754?\nAnswer: 3754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.38, 5, -1\/7, -2\/57, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.5 (b) 1\/4 (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 94573*(-6 + (-78)\/(-6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from innhhnhnnhnhhihhpini. Give prob of picking 3 i.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4 = -0*f. Find the first derivative of 2 - 2*m**4 + 2*m**4 - m**f - 2*m**4 wrt m.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.199 + -128.199. Let q = 125 + g. What is the nearest to -1 in 0.3, 4, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4040+-17815\nAnswer: -13775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -107556 (base 10) to base 5.\nAnswer: -11420211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 2:28 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**3\/3 + l**2\/2 - 3*l + 5. Let i = 5\/62 + -221\/434. Find the common denominator of p(-6) and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -17*l**3 + 16*l**2 - 10*l - 7. Let w(p) = 2*p**3 + 0*p**3 + 8*p**2 - 2*p**3 - 8*p**3 - 5*p - 3. Let a(j) = 4*g(j) - 9*w(j). Factor a(x).\nAnswer: (x - 1)*(2*x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185590.197 nanoseconds in days?\nAnswer: 0.0000000021480346875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnnbwb. What is prob of sequence nb?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 268158212 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2432*h*i**2*l**2 + h*i**2*l + 2*h*l - 9*i**2*l wrt l?\nAnswer: 4864*h*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5\/107 (b) 4 (c) 0.21 (d) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 10*y**2 + 21*y + 6. Let b = 14 - 22. Calculate the remainder when s(-12) is divided by (-86)\/b - 5\/(-20).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 57 - 305 = -n, 0 = 4*o + 20. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.836 + 7.934. Let q = -9.7 - o. Round q to two decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -33, 3, 2\/19 in decreasing order.\nAnswer: 3, 1\/4, 2\/19, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - v + 24, -5*r + 6*v = 3*v - 96. What is the remainder when 78 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 9 - 28)*(u + u + 3*u)*(-2*u**2 + u**4 + 2*u**2).\nAnswer: -190*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + u + 5 = 0, 8 = -u + 3. Is j + 109 - (0 + (-5 - -5)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 w when two letters picked without replacement from cwccjcwcww.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r + 3. Let b = 141 - 147. Determine o(b).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.077 and -70.7?\nAnswer: 5.4439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4130442 (base 6) in base 2?\nAnswer: -110000011100111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.44579*-42\nAnswer: 18.72318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 7 = 9. Suppose 3*p - 40 = -y*p. Suppose -3*g = -g + p. Which is the nearest to 4? (a) 0.1 (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -315*t - 2. Let c(d) be the second derivative of d**4\/6 - 1126*d. Give w(c(n)).\nAnswer: -630*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pll. What is prob of sequence llp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, f: 4, d: 3, l: 1, r: 2}. What is prob of sequence lrfd?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29219540 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n**2 + 3*n + 2. Let i be f(-2). Suppose 0 = d - 2*y - 0*y + 5, 0 = -d + y. Let h = d - -3. What is the greatest common factor of i and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 6. Suppose a = -b*a. Suppose 5*c - 40 - 25 = a. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2699\/132 - -39\/44. What is m in 2\/3*m**4 - 16\/3*m**3 + 16*m**2 + 32\/3 - a*m = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/((s\/((s*s**(-7)*s)\/s))\/s)*s)*s)*s\/s**(3\/2))**(5\/6)\/(s**9*s*s\/(s**2\/s*s)*s)**(21\/4) assuming s is positive.\nAnswer: s**(-685\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5\/88 - 1115\/264. Let q = -4 + -4. What is the common denominator of n and ((-21)\/q)\/((-176)\/(-320))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1701 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2461254 divided by 1.\nAnswer: 2461254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + -1*sqrt(110)*-2)\/sqrt(10))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-420)*(-189)\/(-1674).\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20192*z + 566982 = -12923*z for z.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 72, -8, -2\/2113, -0.4, -0.3, 1\/4?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/20690814 and 17\/82?\nAnswer: 20690814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 68*o**2 - 2123*o + 144360. Calculate h(68).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -1, -3, -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 2\/9, 8, 0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14180267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -678, -1, 0.4, 4, -0.17 in ascending order.\nAnswer: -678, -1, -0.17, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213b1 (base 14) to base 9.\nAnswer: -132153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*sqrt(1224))\/(-2*-3*sqrt(2))*-6.\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 358 + -356. Factor -10\/7*t - 4\/7 - 8\/7*t**o - 2\/7*t**3.\nAnswer: -2*(t + 1)**2*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g + 178. Let l be v(-22). Let w(a) = 6 + 22*a + 3*a - l*a. Determine w(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67882.7 decades to centuries.\nAnswer: 6788.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101100001001101 (base 2) to base 3.\nAnswer: -20010212010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -6 + (11 - 6) + -3 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 8*i**2 - 12*i + 2. Let n be j(6). Suppose -306 = -n*m - m. Suppose -5*o = -m - 48. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8730?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 22*c - 195. Let w be b(0). Sort 2, 0, w in decreasing order.\nAnswer: 2, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -10 + 2. Suppose y - z*y = -36. Suppose -7*s - s = 0. Solve s = -0*g - 3*g - y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -434, -1722, -3860, -6854, -10710?\n\"Answer: -j**3 - 419*j**2 - 24*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -19) + 5 + (-3 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 296 and 13024?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r. Let i = 2 - 2. Suppose 2*h + i*h = 12. Let o(v) = 0*v - 3*v + h*v. Calculate m(o(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6193? (a) 10 (b) -5 (c) -2\/11 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (-59 - -17) - 23.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28523 by 4.\nAnswer: -28523\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -337830069 by 842469.\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**3*j**3*q - 38*g**3 - 2*g**2*j + 6492*g*j**3 - 2*g*q + j**3 - 66*j**2*q + j**2 wrt j?\nAnswer: 6*g**3*q + 38952*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -16\/9 - 464\/9*u**3 + 176\/9*u + 844\/9*u**2 = 0.\nAnswer: -1\/4, 2\/29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 10100012331?\nAnswer: -10100012332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2254 and 63434.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 12*f + 80. What is the third smallest value in 4, f, 45\/8?\nAnswer: 45\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -1\/28909?\nAnswer: -1\/28909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -13*v**3\/6 + v**2\/2 - 23*v. Give f(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 - -9)\/(-2) + 8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 104\/5, -0.5, -0.035, -5, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1077, 11, 2946?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -3*f - 465. Let n(z) = 6*z**2 + 5*z - 7. Let t be n(3). What is the highest common factor of t and f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 4:36 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = y + 3*p + 7, 25 = 5*y - p. What is the remainder when y is divided by (-18)\/(-10) - (0 + (-7)\/35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.130418836 rounded to five decimal places?\nAnswer: 0.13042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -4.2. Let v = z + -4. Let y = v + 0.2. What is the closest to y in 3, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 433 - 469.1. What is x rounded to 0 dps?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 852 at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*w**2*z - 1833*w + 715931*z with respect to w.\nAnswer: -74*w*z - 1833","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -246192 and 9?\nAnswer: -2215728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**5\/20 + o**4\/4 - 2*o**3\/3 + o**2\/2 - 21*o. What is p(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**3*k*r - j**3*r - 16*j**2*k + 17*j*r + 7*j + k*r wrt j.\nAnswer: -12*j*k*r - 6*j*r - 32*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*j - 5*j - 11*j)*(76 - 76 + 10*j + 3*j + 4*j - 5*j + 2*j + 0*j + 0*j + (6 - 3 - 4)*(-1 + 1 - 2*j) - 2*j - j + 4*j) + (2*j - 2*j - j)*(4 - 4 - 3*j).\nAnswer: -116*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 0 = 6*q. Suppose -51 - 39 = -q*c. What is the remainder when c is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -212, -485, -734, -959, -1160?\nAnswer: -1337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 24092 = -22*s + 24*s, 4*s - 30121 = -5*a. What are the prime factors of a?\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/3 and -5\/522.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 411263?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 + 44748*d + 89480.\nAnswer: 4*(d + 2)*(d + 11185)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 11, -30\/109, 4, -4?\nAnswer: -30\/109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 293\/26 + -153\/13. What is the closest to -1\/5 in 0.3, -2\/15, r?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-244)\/(-1952))\/(12\/112)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35474575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 675 is divided by 350?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2045541 or -2045547?\nAnswer: -2045541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(2057))*1*1 - (sqrt(2057) + (sqrt(2057) - (sqrt(2057) + -2 + sqrt(2057)))*-3)*3)**2.\nAnswer: -3630*sqrt(17) + 249122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*d + 6*o + 26, -d = 3*o + 13. Let g = -7 - d. Let w be ((-8)\/(-12))\/(g\/9). Solve 0 = -r - 1 - w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b + 2. Let f = -20 + 17. What is l(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-1 - 0\/2). Suppose 85 = p + v*p. Are p and 18 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 100*q - 103*q + 49587 = 0, 5*p - 5*q + 49595 = 0. What is p rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8564733713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 2, -2969 in decreasing order.\nAnswer: 4, 2, -3, -2969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 7) in base 16?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5667 - 33955\/6. What is the common denominator of z and -179\/960?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.01, 5, -248, -2\/7, -0.01, 0.3, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 13) + -4 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141396 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*i**3*z**3 + 535117*i**3*z + 1744*i**2 - 4525*i*z**3 wrt i?\nAnswer: -18*z**3 + 3210702*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 times -321?\nAnswer: -11556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v**3 - 28*v**2 - 27*v + 45. Let x(p) = -3*p**3 - 16*p**2 - 14*p + 22. Determine 4*o(l) - 7*x(l).\nAnswer: l**3 - 10*l + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -33. Let b = 16 - x. Let m be (-2 + (-158)\/(-7))*7. What is the highest common factor of m and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -363.370839 rounded to the nearest 10?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-5\/2))\/f)**(14\/13)\/(f**0*f)**(-43) assuming f is positive.\nAnswer: f**(594\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012 + -211121122?\nAnswer: -211120110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 3:20 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24631729?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1222202 + 1?\nAnswer: 1222203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*w**2 + 8*w**2 + 17*w**3)*(-3 + 0 - 1)*(13 - 1 + 9) to the form g*w**2 + l*w**3 + n + c*w and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/5*l**2 + 8\/5*l**4 - 28\/5*l - 8\/5 + 4\/5*l**5 - 8\/5*l**3.\nAnswer: 4*(l - 2)*(l + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.049585822 and 7?\nAnswer: 6.950414178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3)**0*((o**(-1\/4)\/o)\/o)\/o*o*o*o*o\/o**(-12) assuming o is positive.\nAnswer: o**(51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-4 - (-8 - (-5 - -4))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**(1\/66)\/(t**0\/t)**50 assuming t is positive.\nAnswer: t**(3301\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3553 - 0.5553. Let t be ((-3)\/(-9))\/((-34)\/24). Let g = t + 57\/170. What is the closest to 4\/3 in g, -3\/4, s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 0.1 (c) -3 (d) 3 (e) -7\/241\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zu when two letters picked without replacement from {u: 2, j: 1, k: 4, z: 1, l: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h*h\/((h\/((h\/(h\/h**(-20\/9)))\/h))\/h))\/h*h**(-25))\/((h\/h**(-3\/10))\/(h\/(h\/h**(2\/17)))) assuming h is positive.\nAnswer: h**(-41929\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-5\/3))\/v**(-2\/9))\/(v**27*v*v**(-4)) assuming v is positive.\nAnswer: v**(-211\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/5)\/((175\/25)\/(-28)*(-4)\/(-5))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 5) to base 8.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 113115?\nAnswer: 113115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = k + 3*c, 0 = -3*c - 3 - 9. Let a(r) = 1. Let j(l) be the third derivative of l**4\/24 - l**3\/6 - 136*l**2. Determine k*j(m) - 2*a(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 13 = -59. Let h be -6 + 0 + l + -3. Solve 0 = -3*f - h + 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-19 + -2 + 6)\/(3\/(-1)). Suppose 4*g = 2*g - 2. Which is the nearest to 1? (a) 5\/6 (b) g (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b**2. Let q(t) = -920 + 2*t + 920. What is j(q(u))?\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-4 + 5 + 5 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 68060.19t?\nAnswer: 68060190000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 7*n**3 - 4*n**2 + n + 13. Let r(w) = 4*w**3 - 2*w**2 + w + 7. Let b = 19025 - 19020. Give b*r(h) - 3*s(h).\nAnswer: -h**3 + 2*h**2 + 2*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, t: 7, b: 1, a: 3, n: 1}. Give prob of picking 1 o and 1 n.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 3*g + 26. Let b be o(0). Suppose 3*y - 177 = -3*v, -2*y - 201 = -6*y + 3*v. Let q = y - b. Solve -5*d + 9 + 23 = 3*j, 3*d + 4*j = q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -62329787, -62329772, -62329757, -62329742, -62329727?\n\"Answer: 15*r - 62329802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 11, -20, -75, -160?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - -4.9. Let u(j) = j**2 - 2*j - 2. Let q be u(-1). Suppose -2*l + 5 = -k + q, 5*k - 10 = 0. Put 0.3, z, l in decreasing order.\nAnswer: z, l, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -2. Let r(y) = -y**4 - y**3 + 1. Let u(b) = 6*b**4 + 4*b**3 + 9*b - 4. Let a(h) = d*r(h) - u(h). What is the second derivative of a(k) wrt k?\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*o + 18 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -t - 14, -d + 10 = -2*t + d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13\/(-39) - 8\/(-6). Let z(d) be the second derivative of d**4\/4 + d**3\/6 + 2*d. Let g be z(j). Is g less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 25, 169, 1 in increasing order.\nAnswer: -5, -2, 1, 25, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-one fifths of a kilometer?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-6) + 10 + -11. What is the closest to x in 5\/2, 0.5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1900) - (sqrt(1900) - (0 + (sqrt(1900) - (sqrt(1900) - (-1*sqrt(1900) + sqrt(1900)))))))**2)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*l - 28*l = -20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.16 - -2. Let a = h + -0.34. Put 0, a, 5 in increasing order.\nAnswer: a, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/6)\/(7\/(-147)). Let y = 12 - b. Suppose -y*s = -s + 8, -4*j + s = -442. Calculate the highest common factor of 22 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61.25 + 61.236872. Round p to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/25)\/((-1)\/(-5)). Solve x = 2*x - y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*h - h + 933, 2*z + 4*h - 450 = 0. What are the prime factors of z?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 1. Let j(h) = h - 16. Let m(s) = -j(s) - 2*r(s). Let b be m(3). Let k(c) = 2*c**2 + 2*c - 2. Let y be k(2). Which is bigger: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056244837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4*4\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5928491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, n: 9}. What is prob of sequence nww?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 61797568 and 679773248?\nAnswer: 679773248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i - 22*i**3 - 24*i**3 - 11*i**2 - 55 - 24*i**3 + 69*i**3. Let s be h(-11). Solve -5*m - 8 + 3 = s for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 10 - (-25 + 33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + -4 - -7)*254\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258335 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 326*o**4 - o**3 + 929*o**2.\nAnswer: 7824*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4362 and 0.1.\nAnswer: 0.04362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2736)*-1)**2 + -1 + (6*(sqrt(19) + (-2*sqrt(228) + sqrt(228))\/sqrt(12)))**2*2 + 2.\nAnswer: 2737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 2. Let u be z(-2). Let s = 3 - 0. Suppose 5*b + s = u*v - 12, -v = -4*b - 1. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 + -1.04. Let h = t + 0.7. Let p = 25 - 27. What is the second biggest value in h, 0.3, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + 3a?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 12:03 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18517590253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*z - 50. Let k(d) = -19*d - 66. Let y be k(-4). What is the greatest common divisor of y and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64827107?\nAnswer: 19, 31, 110063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 49488*y**2. Let f(g) = -2*g**2. What is f(p(m))?\nAnswer: -4898124288*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 14, e: 4}. What is prob of sequence eeej?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 8*m**3 - m**2 + 1. Let l be ((-6)\/9)\/(8\/(-12)). What is z(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 952.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3870, -15739, -35516, -63201?\n\"Answer: -3954*t**2 - 7*t + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*-1 + 48 - (5 - 9) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 5:26 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i + i**2 - 1 - 2*i**3 - 1 + 4 - 5 as m*i**3 + g*i + j*i**2 + p and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -8 + 1\/6*y**4 + 8*y + 25*y**2 - 10\/3*y**3. Let t(j) be the first derivative of p(j). Factor t(g).\nAnswer: 2*(g - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133602.\nAnswer: 2, 3, 7, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (17 - 26) + -4 + 2 + 0\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + 100567?\nAnswer: 100600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 638.6596 millilitres in litres?\nAnswer: 0.6386596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 293536931, 587073866, 880610803, 1174147742?\nAnswer: 1467684683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48223589*z**4 - 64321404*z + 2?\nAnswer: -578683068*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f - 61 = 0. What is f rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttftttttfttfttfft. Give prob of sequence ttft.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqr when three letters picked without replacement from rqqqqqqqrrrr?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z + 70 = -15*z. Differentiate 4 + 20 + z*y**4 - 16 + 8*y**4 wrt y.\nAnswer: 88*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14bea6 + 27?\nAnswer: 14becd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*c + 4*c**2 + 35*c - 2)*(-9148*c + 9148*c - 338*c**2).\nAnswer: -1352*c**4 + 676*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 3*p - 36. Is -3 - (p - (6 - 2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95552, -12, -4, -5.\nAnswer: -12, -5, -4, 95552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 35 = 6*o. Solve -4*d = 2*r + 6, d + d + o*r - 17 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 0, -0.1 in decreasing order.\nAnswer: 15, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.325234785 and 5?\nAnswer: 1.626173925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 2 - -6)\/1 + 0. Factor f*b**2 - 9*b - 184 + 233 - 5*b - 3*b**2.\nAnswer: (b - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 116\/3*r - r**3 + 172\/3*r**2 + 0.\nAnswer: -r*(r - 58)*(3*r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sggusgggswrgwusg. What is prob of picking 1 g and 2 u?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (21 - 4\/2). Let x = o + -17. Suppose -2*c = -x*y + 54, -5*c + 11 = y - 16. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -912 = -205*h - 92. Suppose -37 = -5*w + 4*w. Suppose w = -h*r + 49. Solve 2*b = -b + r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w**2 - 8*w - 7. Let u(r) = r**2 + 6*r + 1. Let k be u(-4). Let v be d(k). Calculate the remainder when (12\/(-14))\/((-6)\/v) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*c**4 + 64 - 64 + (-4 + 3 + 3)*(0 + 0 + c**4) to a*c + y*c**2 + s*c**4 + n + f*c**3 and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83 - 99. Let h be -1*q\/(-56) - 4\/(-14). Put -5, -6, 5, h in descending order.\nAnswer: 5, h, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1047536000 rounded to the nearest 1000000?\nAnswer: -1048000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 + 6*m**2 - 6*m**2)*(3*m**2 + 397 + 394 - 853).\nAnswer: 6*m**5 - 124*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 8:52 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 19*g**2 + 17*g - 15. Let h be j(-20). Calculate the remainder when 54 is divided by 477\/h + 2\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 184 = 23*k + 472 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5184467*w**2. Let k(n) = 3*n**2. Determine m(k(i)).\nAnswer: -46660203*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -13) + -5 + 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 412243 (base 7) in base 2?\nAnswer: 10001001100101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 - 46074*v**2 + 736992*v - 2947712.\nAnswer: (v - 46058)*(v - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 2:00 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 15 + 30 = 0. Let i(u) = -u**3 - 3*u**2 + u - 4. Let k be i(-4). Let a = k + b. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -320 in 2, 4, 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 12070.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/38 in -1, 4\/3, -46?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 365195148*b**4 - 85*b - 46440 wrt b?\nAnswer: 4382341776*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -38793 and -38782 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 28 = 8 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 5390054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (16 + -28 + 21 + 53).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 992461382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 50\/(-35) + 9?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 1892 - 560. What is the lowest common multiple of a and 4?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-50) + (-15)\/((-600)\/(-724))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.2, -63\/61, 2, -3, -32\/5 in ascending order.\nAnswer: -32\/5, -3, -63\/61, 0.2, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -w**3\/2 - w**2 + 3*w. Let y(u) be the third derivative of u**5\/30 + 757*u**2. What is y(o(x))?\nAnswer: 18*x**2 + 24*x + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfggsghfgfbggg. What is prob of sequence gg?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 11:35 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -56488, -225932, -508330, -903682, -1411988, -2033248, -2767462?\n\"Answer: -56477*y**2 - 13*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3 = -21. Find the common denominator of (46\/6)\/(i - 8) and -119\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -24*u + 15. Let n(j) = 11*j - 7. Let a(q) = -6*h(q) - 13*n(q). Calculate a(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(32\/(-232))*-3. Suppose -5*a + 0*a - 130 = 0. Let t = a + n. What is the remainder when t is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20010220200020 (base 3) to base 9\nAnswer: 6126606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 0 = w + g, 6 = w - g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83901 is divided by 314?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -567, -1130, -1693, -2256?\n\"Answer: -563*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*f**3\/5 - 2*f**2 + 14*f\/5 + 4\/5 = 0. What is f?\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -312221?\nAnswer: -312232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 6:47 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 7\/24 (b) 5 (c) 2 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 13*m + 5. Let p be r(13). Suppose -d - 26 = -5*y, -42 = -p*y - 3*d - 0*d. Let s(c) = -c**3 + 6*c**2 - 3*c + 2. Give s(y).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.83 - 0.17. Let c = -3 - -3. Let j = 5 + c. What is the nearest to -2 in j, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485058750 to the power of 1\/3, to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.3 + -0.3. Let m = o + -16.2. Which is the closest to 3? (a) 0.5 (b) 2\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.1 + -12.05. Let a = -1.05 + i. Which is bigger: a or -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000101 (base 2) to base 15.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 6792897?\nAnswer: -33964485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-7)\/(28\/16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -7*k**4\/24 + 5*k**2 - 3*k - 20. Let z(d) be the second derivative of s(d). Let o(f) = -11*f**2. Calculate o(z(c)).\nAnswer: -539*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 8:50 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -34. Let r = x - 19. Suppose -4*z = -r*t + 98, t - 4*z + 54 = 2*t. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*((-2)\/3)\/((-36)\/(-27)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 717904*x**2 - 587105?\nAnswer: 1435808*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 845, 6700, 22577, 53486, 104437?\nAnswer: 180440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 26*a**2. Let x(k) = 5*k**2. Suppose 5*i - 65 + 10 = 0. Determine i*x(m) - 2*r(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 30415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 39. What is the closest to a in -0.5, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**45*h**(11\/6)\/h assuming h is positive.\nAnswer: h**(275\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001054334 to 7 decimal places.\nAnswer: -0.0001054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 197587230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**3 + 12*q**2 + 21*q - 185. Determine h(9).\nAnswer: -482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 7*i**2 + 10*i - 12. Let m be r(8). Let j(w) = -m*w**2 - 38*w + 34*w + 3*w**2. What is j(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + (132 + -128 - (-17 + 1))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**2 - 4. Let d(c) be the first derivative of -c**2 + 1. Give t(d(u)).\nAnswer: -20*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnt when three letters picked without replacement from {t: 1, d: 1, n: 2, y: 5, h: 1}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 22446 and -0.235.\nAnswer: 22445.765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 6*q**2 + 6*q - 2. Let p be b(5). Suppose 2*w + 20 = 5*t, -p*t + 4*t - 7 = w. List the prime factors of (2\/w)\/(1\/(-35)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 5*p. Let k be t(-4). Let v be -34*(-3 + 186\/k) + -3. Suppose 9*z = -z + v. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7\/21*12\/(-10)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*w**2 + 24*w**2 + 21*w**2 - 71*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24.01 + 4670.01. Let h = 4206.6 - b. What is h rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*y**6 + 7*y**4 + 888*y**2 wrt y?\nAnswer: -2520*y**3 + 168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**10\/7560 - 5*s**4\/24 - 6*s**2. Let c(m) be the second derivative of p(m). Factor c(y).\nAnswer: 4*y**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2286, -5, -1\/10, 0.2, 5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 2*k - 4. Suppose 3*l - 31 = 5*r, -4*l - 3*r = -9*l + 25. Suppose d - 12 = -l*d. Does 11 divide g(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**2 - 7*m - 20. Does 9 divide r(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -7*f**3 - 50*f**2 - 8*f + 13. What is h(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/368 and -11\/18.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x - 15*n = -1 - 21, -3*x - 301*n + 298*n + 3 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(21 - -8)\/(-58).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1183 + 354. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 3*m - 17, 3 + 8 = -2*o + 3*m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4)\/(-2)*30\/150)\/((-1)\/(-44790))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 113598\/11, -5, -2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r. Let x(s) = 2*s. Let z(a) = -10*n(a) + 6*x(a). Let k(w) = -17*w**2 - 5. Let j(h) = -60*h**2 - 18. Let u(b) = -5*j(b) + 18*k(b). Calculate z(u(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.29 and 708535 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8*(-3)\/(-6) - (-5 + 3). Let j(k) = k**2 + 5*k - 14. Let u be j(w). Calculate the highest common factor of 78 and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 5, -1.1, -1 in descending order.\nAnswer: 5, 2\/9, -1, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(15\/(-2))*-1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7aba (base 12) to base 2\nAnswer: -11010101101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2069\/10 - 212. Calculate the common denominator of k and -44\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/4 - (-67)\/(-2). Let i = -22 - k. Solve 2*u - 4*x + i = 0, -2*u - 25 = 3*u - x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 21*l + 14 = -25*l, -l = 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - g)*(5 - 4 - 2)*(15*g - 10*g + 15*g).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-114*(-58)\/2755)\/((-3)\/(135\/2))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 74820?\nAnswer: 74820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**2 + 3*s + 8733. Let f(u) = -7*u - 9. Determine -4*f(x) - 11*i(x).\nAnswer: 6*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.11 - -7.89. Let b = r - 7.999976. Round b to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen quarters of a microgram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6127?\nAnswer: 11, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, -5, 1\/2, 0.1, 4 in increasing order.\nAnswer: -5, -0.9, 0.1, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -21, 15, -566, -3 in increasing order.\nAnswer: -566, -21, -3, -2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 0.1. Let d = -0.3 - g. Let l = d + -0.04. Round l to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 509*r - 508*r - 17 = 0, -84 = 5*c - 4*r for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1))**17)**(1\/39) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f - 23. Suppose -r + 24 = 2*r. Let y be b(r). Suppose -402 = -5*n + s - 0*s, -12 = -4*s. Calculate the highest common divisor of n and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 v when three letters picked without replacement from vvvsvvvvhhvvvv.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 121 and 10.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 65877370 to the power of 1\/2, to the nearest integer?\nAnswer: 8116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -431732 or -431729?\nAnswer: -431732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x = -10324 + 289. Round x to the nearest 10.\nAnswer: -670","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3089629*o**2*t**3 + 23*o**2 + 42402*t**2 wrt t?\nAnswer: 18537774*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1154043, -2308091, -3462139, -4616187, -5770235?\n\"Answer: -1154048*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 737349 rounded to the nearest ten thousand?\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p - 1. Let w be r(13). Let f(t) = t - 8. Let y be f(w). Suppose 57 = y*i - i - l, 43 = 2*i + l. What is the greatest common factor of i and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -35 - 39 - -29?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -328 + 325. Let y = -13 - -13.15. Let w = y + -0.13. Put x, -1, w in increasing order.\nAnswer: x, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 700*1076\nAnswer: 753200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 2\/11 (c) 9 (d) 0.3 (e) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3193, -12744, -28649, -50890, -79449, -114308?\n\"Answer: 3*l**3 - 3195*l**2 + 13*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 5150513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11578.7549 - 11580. What is z rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p + 2*p - 5*p + (3 - 4 - 2)*((-11 - 14 - 1)*(p + 3*p - 2*p) - 3*p + 4*p - 2*p + (-5 + 0 + 3)*(3*p - 4*p + 3*p) + 5*p + p - 4*p - p - 9*p + 2*p).\nAnswer: 187*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/436440 and -25\/43644.\nAnswer: 436440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 70920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.48 from 36898566.\nAnswer: 36898565.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by -14917?\nAnswer: 33\/14917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 10*z + 6*z - 3*z. List the prime factors of v(4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(5\/8))\/f)**45 assuming f is positive.\nAnswer: f**(225\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 0)*-5 - (sqrt(63)*-1 + sqrt(63))**2.\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x + 3. Let a = 195 - 189. Determine q(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/(-2)*900\/60?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57362040 divided by -8?\nAnswer: -7170255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 48146.625 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 - 100*i - 184.\nAnswer: -4*(i + 2)*(i + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-10))\/((-69)\/460)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -424.8556 - -425. Let y = -0.138 + d. What is y rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404609471.\nAnswer: 7, 57801353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 (base 7) in base 10?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/152861 and 48\/409273?\nAnswer: 12687463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-812)\/(-11) + 2\/11.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/9 (b) 43\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d**3 - 7*d**3 - 37*d**3)*(3*d + 2*d - 4*d).\nAnswer: -37*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-183 + 107 - 346 - 18)*(-6*r + 0*r + 1 + 3*r) in the form l + i*r and give i.\nAnswer: 1320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 1. Suppose 0 = -l - 1. Let m(y) = -3*y**2 - 4. Let c(f) = l*m(f) - 4*a(f). What is the second derivative of c(k) wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 20*c - 451. Let k(s) = 60*s - 1355. Let o(p) = -4*k(p) + 11*n(p). Let r be o(22). Solve -r*h = -14*h + 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/5)\/(-22 + (-9876)\/(-450)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -117.3 - 0.04.\nAnswer: -117.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmvmmv. Give prob of sequence vv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11572 + -11557. Let y(d) be the second derivative of 0 + 1\/66*d**4 - 1\/33*d**3 + 1\/110*d**5 + i*d - 1\/11*d**2. Find q, given that y(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 998 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 1, -5, -21 in ascending order.\nAnswer: -21, -5, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*p = 4*p + 7, q - 12 = 2*p. Solve -4*g + q*g = -6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239768446 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1526114819.\nAnswer: 293, 5208583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8796 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(363) - (sqrt(363) + sqrt(363)*-5)) + ((-5*5*sqrt(68))\/sqrt(4))**2.\nAnswer: sqrt(17)\/55 + 10625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + c**2 + (c**2 + 0*c**2 + 3*c**2)*(30 + 20 - 10).\nAnswer: 161*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 14*n**2 + 17*n - 36. Give q(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bxzhzvvvznvzvvvzh. What is prob of picking 1 x, 1 z, and 2 h?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/400 and ((-318)\/64 + 5)*(-1552)\/(-80).\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phphppppphhphppp. Give prob of sequence hhh.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 462974230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2676 (base 9) in base 3?\nAnswer: 2202120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 5*h - 9 - 37, 0 = 4*y + 4*h - 64. Calculate the highest common factor of y and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2904) + (sqrt(2904) - 1*sqrt(2904)) + sqrt(24))\/(6*(sqrt(8) + sqrt(72)) + sqrt(8)).\nAnswer: -5 + 12*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 25, -206 = j - 2*c - 256. What is the remainder when 279 is divided by j?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445692 a multiple of 502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1778, -1787, -1808, -1847, -1910, -2003?\nAnswer: -2132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 51*x + 8964. Give h(-71).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**27*r*r**25*(r**(-14)*r)\/r*r**26)**19 assuming r is positive.\nAnswer: r**1235","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b + 0*b + b + (b - 2*b + 3*b)*(-2 - 2 + 2) - 1 + b + 1 - 26 + 26 - 9*b)*(3*b - 2*b**3 - 3*b) to n*b + s*b**3 + i*b**4 + r*b**2 + g and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1320 - -1359. What is the remainder when 174 is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o = 5*o + 6224. What is the remainder when o is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y. Let q(c) be the third derivative of c**4\/6 - c**3\/2 - c**2. Let b(r) = -5*r + 2. Let k(g) = 3*b(g) + 2*q(g). Give f(k(h)).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 2. Let p(r) = -5*r + 3 + 13*r - 2. Is p(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72 - 37. Let m = -241 + 253. Calculate the remainder when l is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3746 (b) -2\/11 (c) 0.12087 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 4 - (-2 + 1) - (1 + -7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 403 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 38790540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.0986698 rounded to two dps?\nAnswer: -15.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/5))**(-7\/6)\/(f**(-12))**(-29))**(-11) assuming f is positive.\nAnswer: f**(114917\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 31198 and -80527.\nAnswer: -49329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j - 16 = -68. Is (-6 + 20\/j)*-4267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + sqrt(6)\/sqrt(3) + sqrt(2) + 0)**2.\nAnswer: -12*sqrt(2) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 134332*j**4*n - 9*j**3*n + 421*j**2*n - 2*j**2 - 550 wrt j.\nAnswer: 3223968*j*n - 54*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 3.6 (c) -1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10629547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffyf when four letters picked without replacement from {k: 3, f: 7, y: 9}?\nAnswer: 105\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.187 - 0.24. What is g rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 21)*((4 + 0 - 6)*(-2*f - 2 + 2) + 5*f - f - 3*f - 6*f + 3*f + 2*f + 52*f - 17*f - 24*f)*(0 + 1 - 4) to the form z + w*f and give w.\nAnswer: -945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 995 - -2755. What is s rounded to the nearest 100?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ziiz when four letters picked without replacement from iizziiiiiizi?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -14. Let y = m + 20. Let z = 85 - 72. Calculate the highest common factor of z and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (51 - (2 + 13 + -1))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 7 - 3*s**2 + 3*s**2 - 6*s + s**2. Let q be l(5). Solve -j = -0*j - q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 2)\/(1*2). Suppose -2*r + 3*r - 6 = l. Calculate the lowest common multiple of r and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 39, -5, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58.1 + 1048.1. Let c = n - 1002. Which is smaller: -0.05 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -1. Let d = 696967 - 696952. Calculate the greatest common factor of b and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1008 - 2048 - 5*j + 1040.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 5*a + 9 - 7*a + 0 - 1. Let y be f(6). Does 13 divide (y\/2)\/((-6)\/57)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 - (-45)\/(-12))*6*398?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 17 = 3*z, 6*z + 4*m + 19 = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1951816, -1951655, -1951388, -1951015, -1950536?\n\"Answer: 53*x**2 + 2*x - 1951871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1012 + 20?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (10 + (1 - 8) - 2) + 8.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/(2*-1))\/((-8)\/((-164)\/(-41)))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/21 - 38*q\/21 + 2200\/21.\nAnswer: -2*(q - 25)*(q + 44)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1f9da (base 16) to base 5\nAnswer: -13120443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 10:37 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 11*g**2 + 9*g + 14. Let t be v(10). Is (-109)\/(-2)*8\/t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 495d8 + 7f?\nAnswer: 49657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*5*5*11\/165?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 - 2*l. Let n be m(-2). Let z(q) = -19*q - 3. Let c(s) = s. Let r(y) = -4*c(y) + z(y). Is r(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -32, -29, -6\/37?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-6*(sqrt(117) + -1 + sqrt(117) + -1 - 4*(1 + sqrt(117) + sqrt(117)) - (-2 + 0 + sqrt(117) - (5*(sqrt(117) + 0) - sqrt(117)))))**2.\nAnswer: 23328*sqrt(13) + 346356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 91065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 650253, 650247, 650241?\nAnswer: 650235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6248030219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-14 - (13 - 9)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*m*o - 44169*c**3*m + 2*c**3 + 36*c**2*m + c**2 - 2*c*m*o - 14*c*o + 6*o wrt c?\nAnswer: 12*m*o - 265014*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 9*v + 2)*(1 + 3 - 3)*(-1 + 1 - 2)*(v**2 + 4*v**2 - v**2).\nAnswer: 72*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3792\/103 or 38?\nAnswer: 3792\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4640)\/3248*6\/(-45)*3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 392644806*b**3 - 384297599*b.\nAnswer: 2355868836*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 5*z + 32, -7 - 13 = -5*z. What is the remainder when m is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 52 + 36. Let k = -23 - q. Sort k, -2, 3 in decreasing order.\nAnswer: 3, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66229 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: Sort -1.86, -0.5, -2.32, 3, -1, -51.\nAnswer: -51, -2.32, -1.86, -1, -0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2118821133520 + -0.25?\nAnswer: 2118821133519.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 246793 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 0.3 (c) 1 (d) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 1:40 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.33 + 2.443. Let i = z - 1.123. Round i to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-8300)\/(-35)*70\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s - 9 - 33 - 6*s**2 + 1.\nAnswer: -6*s**2 + s - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5980\/(-3588))\/(2*(-25)\/54)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, u: 2, c: 2, w: 6}. Give prob of picking 1 u and 1 r.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.17 + -0.57. What is the third biggest value in q, -1\/2, 0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-31)\/k*k*k\/k**31*k)\/(k\/k**(-18))**(-1\/3))**(-3\/28) assuming k is positive.\nAnswer: k**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1019740124, -2039480249, -3059220374, -4078960499, -5098700624, -6118440749?\n\"Answer: -1019740125*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-3)*v))\/v*v*v*(v*v**(-5))\/v)**(-10)\/((v**1\/(v**(1\/3)\/v))\/(v**(1\/2)*v**(-1\/3))) assuming v is positive.\nAnswer: v**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 141.612 rounded to one decimal place?\nAnswer: 141.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 4*w = -45, -36*t + 40*t + w - 44 = -3*w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 287*p + 94702. Determine n(-330).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - s**2 + 2*s + 18. Calculate the smallest common multiple of g(-3) and 2\/(-4) - 100\/(-8).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/(-15))\/((-3)\/(-18)). Solve 0 = 3*z - f, 4*k + 5*z = z + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9652702555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/67 and -85\/255538.\nAnswer: 255538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**4\/3 + 10*w**3\/9 + 22*w**2\/9 - 10*w\/9 - 16\/9 = 0. Calculate w.\nAnswer: -1, 1, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 7 = -22 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(31 + 15*w - 31).\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3497 and -0.2.\nAnswer: -699.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.063 (b) 4 (c) 108214\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 8*h**2 - 9*h + 12. Let l be p(8). Let a be (-3)\/(-2)*(-4)\/l. Sort -0.2, 3, a in decreasing order.\nAnswer: 3, a, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(99*m - 23*m - 49*m)*(4*m - 5*m + 12*m)*(4 - 2 - 4).\nAnswer: 594*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2756*t - 15*t**3 - 34*t**5 - 2756*t + (0*t + 0*t + 2*t**4)*(2*t + 0*t + 5*t).\nAnswer: -20*t**5 - 15*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 + 0\/2 + 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 554 (base 6) to base 3\nAnswer: 21221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (8 - 5\/5) + 4646\/(-1414). Suppose -24*p**2 - v*p**3 - 18\/7*p**5 - 72\/7*p + 0 + 12*p**4 = 0. Calculate p.\nAnswer: -2\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/112 and 30\/217?\nAnswer: 3472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11\/406 + 15301\/12180. Calculate the common denominator of a and -79\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 1:20 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -2\/27*n**3 + 0*n - 3 + 1\/9*n**2. Solve i(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/3, 4, -1, 3\/23?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a day?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**3 - 9*i**3 + 18 - 20 + 2*i**2 - 10*i**3 in the form o*i + l + y*i**2 + v*i**3 and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 5\/2*f**2 - 297\/4*f**4 + 1\/3*f**3 + f - 19. Is s(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81 and 5139981.\nAnswer: 46259829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**3\/3 + 3*l**2 + 6*l - 29. Calculate q(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/3, 5, 0.5, -19, -8?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*n + 108*n = -5406 - 1506 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -10*o - 1. Suppose 4 = -4*q + 12. What is the least common multiple of q and k(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, u: 1, v: 2, c: 4, p: 2, y: 1}. What is prob of picking 1 u and 1 c?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 j, and 1 e when four letters picked without replacement from iiejejxixejiijjijqq.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*r + 25*r + 11*r**2)*(-3*r**3 + 3*r**3 - r**3).\nAnswer: -11*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6) - 1)*20\/(-135)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.28 >= 497616\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.032148 = 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 16\/184 + (-284)\/92\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -15. Let b(k) = k**2 - 8*k - 8. Let l be b(9). Let c = 20 + l. Calculate the remainder when c is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31 - 43?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3587 is divided by 3570.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(-26\/5))\/b*b)\/b)\/b*b**(-3\/14))**(-2\/107) assuming b is positive.\nAnswer: b**(449\/3745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + sqrt(33)\/sqrt(27)) + -3 + (sqrt(55) + sqrt(55) + sqrt(385)\/(sqrt(14)\/sqrt(2)))\/sqrt(5).\nAnswer: -13 + 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 267*c + 83851. Give s(-314).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 100 + -117. Which is the third smallest value? (a) k (b) -0.4 (c) -5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1641035344 + 5?\nAnswer: 1641035352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 679272*l**2 + 605442*l?\nAnswer: 1358544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-36) - (-61)\/(-9). Let p(y) = y + 13. Let j be p(v). Put 0.1, j, -4 in decreasing order.\nAnswer: j, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000845529 rounded to six decimal places?\nAnswer: -0.000846","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 59.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29.2 - -61. Let u = 29 - n. Let i = -3 - u. Which is the nearest to -1? (a) -2\/7 (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64050461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (3 + (-6 - 4) - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 498 and 483.\nAnswer: 80178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 3*n**2 + 6*n + 6. Calculate the least common multiple of o(0) and 172.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ng when two letters picked without replacement from {f: 1, d: 4, n: 1, t: 2, g: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, v: 5}. What is prob of picking 2 b and 1 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**4\/4 - 10038639*g**3\/2 + 33591484555887*g**2\/4 - 50387091312285*g + 75580569207675 = 0 for g.\nAnswer: 3, 3346210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-11)\/33 - (-2 - -1). Is (-2)\/6 - ((-17008)\/3 + y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 13*g**2 + 267*g - 30. Let r be v(11). Solve -5*w - 5*y + r - 48 = 0, -1 = 4*w - 3*y for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 4*o + 1, 122*i - 2*o = 126*i - 12 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 471171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -12 (b) -2\/15 (c) -0.2 (d) -106 (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -90 - -90. Let s = 1 + -1.5. Which is the second smallest value? (a) s (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**24\/y*y**42*y**(-9\/10)\/(y\/y**(-12\/11)) assuming y is positive.\nAnswer: y**(6821\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3)\/f*f*f)**(-13\/7)\/(((f\/((f**11*f)\/f))\/f)\/(f**(-11)\/f)) assuming f is positive.\nAnswer: f**(19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 499389 is divided by 306.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 1 = 2*x, -348180*d - x = -348178*d + 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -73 - -563252?\nAnswer: 563157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 19\/4 of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 20 = 17 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*t + 8119 + 5161. What is the common denominator of 3\/(t\/(-460) + (2 - -2)) and ((-48)\/(-27))\/((-3)\/4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2 + 23*t - 9. Let c be y(11). Suppose z + 2*z = 21. Solve 0 = -c*u - 0*u + 3*x - z, 3*x = -u - 8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/29 in 2\/19, 1\/4, 2\/9?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 5*s - 5*s - 8*s + (4 + 3 - 5)*(-s + 6*s - 4*s).\nAnswer: -6*s + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*i**2*s**4 - 1367*i**2*s + 511*i**2 - 16*i*s - 108613*s**4 wrt s?\nAnswer: -444*i**2*s**2 - 1303356*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 145?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 23 = 3*b. Let s = 1 - -2. Suppose -76 = -u + 3*a, 0*a = -3*u - s*a + 192. Calculate the remainder when u is divided by b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -203\nAnswer: 4\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 765056 and 1720.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -431 (c) 2\/227 (d) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 57 (c) 0 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 4*n**2 - 8*n + 2. Let a be p(6). Let t = -15 - -16. Let x be (1 - (-47 - t - 3))*2. Calculate the highest common factor of a and x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.6501485 rounded to one dp?\nAnswer: 17.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 10:34 PM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69 + 9*l**5 + l**2 - 124*l + 5*l**3 + 58 - 3*l**4 + 153*l - 194*l wrt l?\nAnswer: 540*l**2 - 72*l + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 155, -9 in increasing order.\nAnswer: -9, -2, 3, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dbbbdddddbdmddddbdb. What is prob of sequence bbbm?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15768\/11 - 1430. Let w = -8996 + 90077\/10. What is the common denominator of w and i?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9517000 to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -394?\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 43? (a) 0.091 (b) 0.3 (c) 30.1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 + 220272*l - 18752020.\nAnswer: 4*(l - 85)*(l + 55153)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 11 = -3. Suppose 0 = 5*k + 5*w + 5 - 0, 3*k = -f*w. Calculate the remainder when 10 is divided by k - -5 - (1 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.12 and -1.275?\nAnswer: -11.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4265 + 25*j**3 + 22*j**2 + 4266 - 8531 in the form w + k*j**2 + n*j**3 + t*j and give n.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 290 divided by -388\nAnswer: -145\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23568077 - -3301018.\nAnswer: 26869095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*s + 58*s - 14160 = 0 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 + 13*u - 4. Let k(r) = 2*r**2 + 12*r - 5. Let m(x) = 5*c(x) - 4*k(x). Let z be m(-9). Let y = z + -6. Solve -i = y*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15260 and 12208.\nAnswer: 61040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0035126304 rounded to five dps?\nAnswer: -0.00351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -19, -2 in decreasing order.\nAnswer: 5, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2181529 - -5?\nAnswer: 218152e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-11)\/(-4))\/((-1)\/(-8)). Suppose -i - 12 = -4*i. Suppose m + 6 = i*g. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*a**3 + 0*a - 2*a + 2*a**4 + 12 + 33*a**3 in the form t*a + x*a**3 + i*a**4 + u*a**2 + q and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 151*d**2*y*z**2 - 2*d**2*y*z - d**2*z**2 + 13*d*y*z wrt z?\nAnswer: 302*d**2*y - 2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8618 (base 16) to base 9.\nAnswer: 52072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 834 + -150119\/180. Let q(g) be the third derivative of 1\/9*g**3 - 1\/90*g**5 + 0*g + 0 + g**2 + x*g**6 - 1\/36*g**4. Factor q(o).\nAnswer: 2*(o - 1)**2*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 31 - 13 = -5*j, 2*t - j - 6 = 0. Suppose 5*n - 1185016 = 4*o, 0 = t*o + 8. What is n rounded to the nearest 10000?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l**(-1\/4)\/l)\/l)\/(l\/l**(-2)))\/((l**(2\/5)*l)\/l)**(-21))\/((l*l\/(l**(-2\/7)\/l)*l)**(-1\/2))**(4\/19) assuming l is positive.\nAnswer: l**(12239\/2660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5712*f*j**2 + 671*f*j - 5822985*f + 2*j**3 + 2 wrt j?\nAnswer: -11424*f*j + 671*f + 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7452 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2022*b - 33474 = 55406 - 14066 for b.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4772731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*x - 23, -2*v + 0*x - 4*x + 24 = 0. Suppose 0*n + 4*n - v = -2*a, -n - a = -4. Let s(i) = 15*i**2. What is the units digit of s(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 10:04 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(4*-1)*12. Suppose -z*y = -2*y - 8. Suppose r - 8 = 4*k, -4*r - 5*k + 627 - 637 = 0. Solve y = u + 3*u + 2*q, r = -2*u + 4*q + 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.003 (c) 0.4 (d) -82\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -442, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8b302 (base 16) to base 9\nAnswer: -1058040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - h = 8, 1569*f - 2*h - 19 = 1574*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, 33 in increasing order.\nAnswer: -2, 7, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 12:04 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -0.1, 5\/2, 3.2, 0.05.\nAnswer: -4, -0.1, 0.05, 5\/2, 3, 3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/126 and 7\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**2. Let n(t) = 3*t**2. Let x(r) = -2*l(r) - 3*n(r). Let g(u) be the second derivative of -u**4\/12 + u. Give x(g(f)).\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (66 - 93) + -11 - 20?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -237*j + 27. Let o be q(-8). Suppose -538 = -3*v + 5*r + 907, -4*v + 3*r + o = 0. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5))**(1\/9)\/(f*f**3*f*f\/(f\/f**(1\/3))) assuming f is positive.\nAnswer: f**(-242\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 223300 rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467359?\nAnswer: 41, 11399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - b - 15 = 9, 3*w + 8 = -5*b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 186825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.06957 - -24.93043. Which is the third smallest value? (a) 1\/3 (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u - 10. Let f(k) be the first derivative of 3*k**2\/2 + 20*k - 5. Let q(b) = -3*f(b) - 5*o(b). Let t be q(5). Which is smaller: -3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2754119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.099054 and 2.\nAnswer: -0.198108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3728 divided by 76\nAnswer: -932\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**5\/60 + 5*m**4\/12 - m**3\/2 - 2*m**2. Calculate the remainder when 17 is divided by o(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004028 rounded to five dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 34452548.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 12:34 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182485, -182961, -183749, -184843, -186237?\nAnswer: -187925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -9*v**2 + v - 1. Let m be o(1). Let i = m - -4. What are the prime factors of (56\/i)\/4*-25?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -24.65, 4\/763, 2\/7, 3\/2?\nAnswer: -24.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9728 and 2964?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven halves of a kilogram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**3\/4 - 39*d**2\/8 + 33*d\/2 - 2854. Find z such that m(z) = 0.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - l**2 + l - 2. Let b be c(2). Let n = b + 19. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 - 59.8. Let f = v + -6.182. Let z = f - -1.982. Put z, 1, 5, -4\/7 in descending order.\nAnswer: 5, z, 1, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(242) - (sqrt(242)*2 + -3)) + 5 + -1*sqrt(242))*2)**2 - (3*sqrt(242)*-3 + sqrt(242) - (sqrt(242) - (sqrt(242) + 1 + -1)))**2)*-3.\nAnswer: 4224*sqrt(2) + 34080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9527288, 9527290, 9527292?\n\"Answer: 2*b + 9527286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 9:13 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*m**2 + 59*m**2 - 174*m**2 + 57*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 276851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*b*z**4 + 20*b - 2*z**6 - 3*z**2 wrt z?\nAnswer: 912*b*z - 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.4 and -376.12.\nAnswer: -379.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5*(sqrt(175) + 3)*-3)**2.\nAnswer: 6750*sqrt(7) + 41399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, t: 1, s: 10, u: 3, g: 1}. What is prob of picking 3 r and 1 t?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33664075 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*k**3\/3 - 2*k**2 - 8*k\/3.\nAnswer: 2*k*(k - 1)*(7*k + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29 - 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 466 + 296. Calculate the remainder when v is divided by (103 - (0 - 3)) + -29.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288736.739 rounded to the nearest ten?\nAnswer: 288740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12102 - 43102203?\nAnswer: -43040101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 12411429.4 to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2101 + 11?\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*t**4 - 4*t**2 + 17*t**2 + 12*t**4)*(-5*t + 5*t - 3*t)*(-1 + 0 + 0).\nAnswer: -6*t**5 + 39*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0*i)\/(i**(-5)\/i)*(i\/(i*i**(2\/7)))\/i**6)**(-9\/2) assuming i is positive.\nAnswer: i**(-45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2058\/14)\/21 - 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 8 + 0*w**3 + 1\/5*w**5 + 0*w**4 - 6*w + 0*w**2. What is the first derivative of n(k) wrt k?\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11791 + 1?\nAnswer: 11792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -0.09, -81\/7, -2\/9, 0.4.\nAnswer: -81\/7, -2\/9, -0.09, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*b - 16 = 162*b + 47*l - 49*l, -3*l = b - 19 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6489 and 600.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7 times 235.698\nAnswer: 1649.886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/25 (b) 1 (c) -0.5 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18b - 5102?\nAnswer: -5291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*6.45.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4)*t)**18*(t**(2\/7))**(30\/13) assuming t is positive.\nAnswer: t**(2577\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5646 by 5.\nAnswer: 5646\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 9*h + 10. Give c(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -45. Calculate the smallest common multiple of 10 and (-16)\/(-6) - (-22)\/o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140840882 a multiple of 4579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 3*i. Let l be (i + 8\/(-22))\/2. Let p be (12\/(-105))\/((-6)\/(-15)). Which is the closest to p? (a) l (b) -0.4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (3 - -3) + (-2 - 0). Suppose -r*u + 453 + 219 = 0. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36 + 17?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 4*h**2 - 4*h - 5. Let j be z(5). Suppose 4*n - 11 = 10*u - 9*u, 3*n = -2*u. Put j, u, 5 in decreasing order.\nAnswer: 5, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*((-648)\/15)\/6. Suppose 4*z + 32 = 2*z + 4*o, 2*o = 3*z + n. Let v(a) = -a**3 - 9*a**2 + 10*a + 9. What are the prime factors of v(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16671.\nAnswer: 3, 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9272378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13729 + 13729 - 415954*k**3 + 416060*k**3.\nAnswer: 106*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13760, 13732, 13686, 13622, 13540, 13440, 13322?\nAnswer: 13186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3\/14))**(2\/5))**(-49) assuming i is positive.\nAnswer: i**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 4:18 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 162 - 150. Let q(s) = -4*s + 51. Let v be q(r). What is the nearest to v in 3, -2\/5, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55 (base 15) to base 5.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44.7772 + -45.3. What is i rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53 - 1) + (-76 - -66 - 1).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -9. Let w be 11\/6 + 55\/(-66). Calculate the lowest common multiple of 2 and (w\/f)\/(6\/(-24)) + 12.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-345*z + 141*z + 148*z)*(-1 - 1 - 1).\nAnswer: 168*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, r: 16}. What is prob of sequence rccr?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {c: 5, l: 2, d: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 2 + 2)*(-7 + 3 + 1) + (-6 + 1 + 3)*(2 - 5 + 2) - 3 - 1 + 1)*(-2*g + 0*g + 4*g).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*(sqrt(1152) + 1 - sqrt(1152)) + sqrt(1152) - sqrt(1152))*3 + 1*(3*(1 + sqrt(1152)) + 2))**2.\nAnswer: -4464*sqrt(2) + 11329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -69714 or -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/477 and -29\/6?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 37624551 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 385 and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/45)*o\/o**25*(o**(-2\/13))**19 assuming o is positive.\nAnswer: o**(-15724\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22912437.\nAnswer: 3, 73, 104623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -19*s**6\/30 - 10*s**2 - 17*s. What is the derivative of d(k) wrt k?\nAnswer: -76*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 357, 922, 1713, 2730, 3973, 5442?\nAnswer: 7137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7825)\/(-975))\/(242\/42). Let t = -1\/121 + m. Let n = -1\/29 - -467\/87. Find the common denominator of n and t.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(125) - 4*(sqrt(125) + 1)) + ((sqrt(125) + 1)*-2 - 3*2*sqrt(125)))**2 + 3.\nAnswer: 100*sqrt(5) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4185173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18400 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*(-4)\/56 - 1404\/(-14). Suppose -10*k + 6*k + r = 0. Calculate the greatest common divisor of k and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.13280618 to 3 decimal places.\nAnswer: 0.133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*c**3 - 4765*c**2 - 601926*c wrt c?\nAnswer: -108*c - 9530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 7*q + 10. What is u(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 285 and 190?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 8:49 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15461656 - -1?\nAnswer: -15461655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -839637.9999968 + 839634. Let y = 4 + x. Round y to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00261736025 rounded to seven decimal places?\nAnswer: -0.0026174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p = -30*p + 88*p + 97*p - 12354 for p.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - h - 3, g - 4*h + 3 = -11 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2773.99972815 - -2774. What is u rounded to 6 decimal places?\nAnswer: 0.000272","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -138, -8, 17, -3, 216 in ascending order.\nAnswer: -138, -8, -3, 17, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*x**3 - 14*x**3 - 22*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 9 = l, 0 = -l - 1 - 2. Suppose z = -u*z + 176. What is the remainder when z is divided by 4\/(12\/5)*9?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z - 7 + 8 + 2*z in the form m*z + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 810 divided by -9\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3587955\/556 + -15509554533\/2404700. Let o = r - -5446767\/1833800. Let y = o + -18\/265. Calculate the common denominator of -121\/18 and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 202669 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/15109, -5, 0.9, 5, 2?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 704445.7cm to nanometers.\nAnswer: 7044457000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31 times 5?\nAnswer: 1.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/3))**(-17\/3)\/(q**(-1)\/((q*q*q\/(((((q*q\/(q\/q**2)*q)\/q*q)\/q)\/q)\/q))\/q)) assuming q is positive.\nAnswer: q**(52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z - 4 + 4 - 4*z + 15*z - z + 2 - 2*z - 2 + (-5*z + 3*z + z)*(0 - 2 + 3).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.2 + 6. Let l = 0.200012 + i. What is l rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93807 is divided by 568.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -99193*r - 10514464. Calculate l(-106).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2. Let k(c) = 133278*c. Determine k(y(s)).\nAnswer: -266556*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 138047041469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 20 (b) 31 (c) 4 (d) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 20*f**4 + 276062*f**3 + 122000892*f**2 - 109969208*f + 24449872 = 0.\nAnswer: -13346, -458, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from bbhhblhhhhlbbhhlzh?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-114 + 114 - 31*o)*(-3*o**3 - o**3 + 6*o**3).\nAnswer: -62*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 662\/(-18) + 10\/(-45). Let k = -21 - w. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 5. Suppose 2*r = -0*r + 2*i + w, 5*i + 19 = -2*r. Let d = 0.9 + -0.8. Which is the nearest to d? (a) r (b) 4 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/(a**25\/a*a)*a*a*(a*((((a*a**4*a*a)\/a)\/a)\/a)\/a)\/a assuming a is positive.\nAnswer: a**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.4 - -5.4. Is q bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49330 rounded to the nearest one thousand?\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1850700 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -2\/30367?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2671 - -2497.71. Let g = 174 + s. Let t = 0.8 - g. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -7*d. Suppose 3*s - 5*x = s + 16, d = 3*x + 6. Suppose -2*m = s*j - 9 - 192, -20 = 4*j. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(121)*-1)\/sqrt(11) + (sqrt(275) + -1*sqrt(275))*1 + -4)**2 + -2 + -3 + -5.\nAnswer: 26 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 5*u**2 - u - 4. Let x be q(3). Suppose -4*a = 3 - x. Find the third derivative of t**5 - 2*t**2 - t**a + t**5 wrt t.\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2272a (base 14) to base 3.\nAnswer: -11020212010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 414 + -410. What is the derivative of s**t - 43 - 199 + 81 - 87*s**3 wrt s?\nAnswer: 4*s**3 - 261*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + 1 + 5 + sqrt(175) + ((0 + sqrt(175))*6 - sqrt(175)*2*5))**2.\nAnswer: -210*sqrt(7) + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268*b + 2133 = -31*b. Solve -3*l - y + 21 = 2*y, b = 3*l - 3*y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30)\/(-9)*(-3)\/1. Does t = -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 798*x - 802*x = 20, 4*x - 12 = 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/3 + -9 - (-2431 + -170)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + 1 + 4 + -5*sqrt(7)*3.\nAnswer: -15*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 21*w - 39. Let m be c(3). Suppose 4*y - 20 + 2 = -q, -5*y - 2*q + m = 0. Calculate the greatest common divisor of y and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3 + -9527?\nAnswer: -9530.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2373430931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73 + 155 + 3*u - 7*u - 79.\nAnswer: -4*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 616.1535 to 1 dp.\nAnswer: 616.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 112763617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i - 28*i = 1242. Let t = i - -254. List the prime factors of t.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/7*(-150)\/(-50)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-22)*3454\/1256?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*m + s - 3*s, 6*s = -2*m - m + 8*s + 44 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1709*x = 506*x - 1283*x + 130*x + 108376 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*z - 231*z + 91*z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3*-9645\nAnswer: -28935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/35 or 173.7977?\nAnswer: 173.7977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1995, 3993, 5991, 7989?\nAnswer: 9987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + o - 5 = 5*o, -5*o - 3 = -3*m. Let x(s) = 323*s - 1. What are the prime factors of x(m)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sspm when four letters picked without replacement from {s: 13, m: 4, p: 3}.\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + 50. Suppose 2*u = -m - 5 + s, -m = u - 28. Let x be ((-15)\/(-6))\/(2\/u). Solve -4*q - 2*y = 4, x = -q - 4*q + 5*y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 130 = -2*x. Is x a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184 divided by -46.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -5. Suppose -4*p - 15 = -u. Are p and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((11 + 2 - 657\/36) + 5)*296\/(-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227150.\nAnswer: 2, 5, 7, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 630989483?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 1207*t + 20492. Determine m(-16).\nAnswer: 1180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 4*u**2 - 6*u + 19. Let l be j(5). Suppose -2*p + 71 + 27 = 0. Calculate the greatest common divisor of l and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.6, 389, -2\/3, 0.1, 136.5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88 + -25. Let o be (15\/(-6))\/(3\/(-6)). Suppose 22 = o*g - 23. What is the highest common factor of g and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2296*d**2. Let r(l) = -621595*l. What is r(o(v))?\nAnswer: 1427182120*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3858300707 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -6. Suppose x - 3 = 2*k, 4*k = -4*u + 88. Let i = -10 + u. Solve -r - f = 2*r + 17, -5*f - i = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pu when two letters picked without replacement from jpjppwpwu?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*w = 23*w - 522 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*m - 141 - 96 = -81 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 357 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93 + p**2 + 62*p**3 - 49 - 24.\nAnswer: 62*p**3 + p**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 56.79 times -0.1\nAnswer: -5.679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 7260470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27224595 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*r - 28 = -48*r. Let i be 2 - (-49 + (-7)\/(r\/(-3))). Find the common denominator of -4 - 56\/(-12) - 2\/i and -97\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and 4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 + 2)*(-4*u + 2*u + u)*((-6 + 2 + 3)*(1 - 1 - 1) - 892 + 711 - 1235).\nAnswer: 9905*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 12*m - 1. Let i be (10 - 22\/2)*-5. What is t(i)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 351?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**5 - 16*u**4\/5 - 48*u**3\/5 + 64*u**2\/5 + 32*u\/5 = 0.\nAnswer: -2, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 653903 + 653903.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 19. Which is smaller: z or -2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2666.6893174 - 0.04\nAnswer: -2666.7293174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(i**2 + 9*i - 6*i - 6*i).\nAnswer: 2*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1021*l + 52108 = -1014*l. What are the prime factors of l?\nAnswer: 2, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35339638 plus 3.54?\nAnswer: -35339634.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -dd + e?\nAnswer: -cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -243310 - 2330?\nAnswer: -301140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30537, -61118, -91687, -122238, -152765, -183262, -213723?\nAnswer: -244142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 - 3*k + 1. Let d be o(2). Let y(i) = -4*i + 12. Let a(t) = -11*t + 35. Let b(x) = -3*a(x) + 8*y(x). Determine b(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**3 + 3*j**2 + 13*j - 3. Let n(g) = -10*g**3 + 24*g**3 + 20*g - 8*g**3 - 5 + 4*g**2 - 11*g**3. Let o(w) = 5*n(w) - 8*q(w). Give o(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -165, -692, -1569, -2796?\n\"Answer: -175*o**2 - 2*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.079 * -16053.\nAnswer: 1268.187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4692, -9355, -14016, -18675, -23332?\n\"Answer: b**2 - 4666*b - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z**3 - z**3 - 403*z**2 + 398*z**2 + 5*z**3.\nAnswer: -6*z**3 - 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y - 61. Let t be d(13). Solve -t*z = -3*b + 5, -4*b + 3*z + 7 = -2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*z + 4*z**2 + 25*z**2 + 56*z.\nAnswer: 29*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/205 and -53\/11321055?\nAnswer: 464163255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -265 - 0.18815\nAnswer: -265.18815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2853646047?\nAnswer: 3, 7, 45295969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -28751?\nAnswer: 28756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 3 = -z, -4*l = -5*z - 2046 + 2061 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1133 and 1276.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -1*5)*((-744)\/(-624))\/(-31). What is the nearest to 173 in n, -5, -10?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -112*x + 555. Let b(l) = 167*l - 832. Let g(z) = 5*b(z) + 7*i(z). What is the tens digit of g(23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 4. Let a be (-5 + 7)\/(-1 + 2). Solve -2*r = -a*p - 3*r + 6, w*r = p - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*a - 0*a. Let w be (-2)\/10*a\/6. Let q = -1104\/3815 - -2\/545. Sort q, w, -0.3.\nAnswer: -0.3, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -119, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 236963867 to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -182 + 73. Let f = -101 - b. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 6. Let m be f(6). Let j be 8\/(-28) - (-6)\/21. Solve -5*i + k - m = -j*k, -4*k - 6 = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*v - 30, v - 5 = -3*m - v. Suppose m*a + 4 = 9*a. Let w = 0.03 + -0.33. What is the closest to 0.2 in w, a, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 4:39 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 354352 and 2700.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 0*r**3 + 1\/6*r**4 + 3*r + 0*r**2 + 11. Let q(b) = -62*b**2 + 2. Calculate k(q(d)).\nAnswer: 7688*d**4 - 496*d**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 80 + -55. Solve 13*b - 8*b = a for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6384938 divided by 502.\nAnswer: -12719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**8\/784 - 2*p**7\/245 + 3*p**6\/140 - p**5\/35 + p**4\/56 - 3*p**2 - p. Let f(x) be the first derivative of w(x). Factor f(s).\nAnswer: 3*s*(s - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 3*m**5\/10 + m**4\/12 + m**3\/2 - m - 5. Let i(x) = x + 3. Let t be i(-5). Let h(o) = -2*o**3 - o. What is t*b(n) - 7*h(n)?\nAnswer: 2*n**3 - 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 - 5. Let k(x) = q*x - 24*x - 22*x. Let u(z) be the third derivative of z**5\/12 + 14*z**2. Calculate u(k(r)).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2366 - -2365. Which is greater: h or -1\/67?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**2 - 3 + 4*p - 4*p + (3 + 1 - 3)*(3 - 3 - 3*p**2) + p**2 + 2*p - 2*p - p**2 + 0*p + 0*p.\nAnswer: -7*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**5 + 49*x**4 - 9143*x**3 + 520*x**2 - x - 21921 wrt x.\nAnswer: 120*x**2 + 1176*x - 54858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*u = 0. Suppose -5*m + u*i = i, 0 = -3*m + i. Solve m*b + 8 = -4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 442575 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 3*j = -1081 + 1051, -45 = 3*m - 11*j - 7*j + 72 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 77110648 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + b - 6. Let u = 10 + -16. Is m(u) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x - 1 + x + 8*x. Let z = -3 - -4. Let y be j(z). Solve -4*k - y*q = -0*q + 2, 0 = 3*k + 3*q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21779782 rounded to the nearest one hundred thousand?\nAnswer: 21800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 296*g**3 + 302*g**3.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 133301 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*z = -377, 3*z - 1118 = -3*a + z. Suppose 4*r - 4*c = a, 3*c + 3 = -12. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11*-18.\nAnswer: 1.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 1616\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 2 - (-112 + 143)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**3 - 2*s**2 - 5*s - 3. Let q(z) = z**2 + 6*z + 5. Let j be q(-4). Is 15 a factor of c(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2267953m in micrometers?\nAnswer: 226795.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 393*c - 8 + 391*c + c + 3*c - 3*c + (2*c + 0*c - 4*c)*(-1 + 0 - 1) + 6*c + 0*c - 2*c)*(c**3 + c**2 - c**2).\nAnswer: 7*c**4 - 33*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.580167 micrograms to grams.\nAnswer: 0.000009580167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38927 and 75779.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 690, 478, -94, -1206, -3038?\nAnswer: -5770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**3 - 14*f**2 - 13*f + 16. Let a be p(8). Let d = -35 + 119. Let w = d - a. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-1) + -12 + 5. Let i be 38\/14 + 5\/(-105)*x. Solve -2*u + i*u = -3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - 53 - (4 + -13 - -1 - -2)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 15 = 13. Suppose j*q - 7*q + 25 = 0. Solve 3*u - 2*r + 6 = 0, -2 = 2*u + q*r + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -39*i + 330*i + 109*i + 115*i. Let s(q) = -3*q. Determine s(t(n)).\nAnswer: -1545*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42601 is divided by 86.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**3 - 12*c**2 + 10*c + 4. What is u(-5)?\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.75879 years to centuries.\nAnswer: 0.0475879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 275*x - 1530. What are the prime factors of w(38)?\nAnswer: 2, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -17, -2\/185, -9, 1?\nAnswer: -2\/185","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 34 + 32. Let k = -45 + u. Let t(c) = 2*c**2 + 18*c + 11. Is t(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29326 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -336*q + 343*q - 14. Solve 4*h - 7 = q*z - 1, 0 = -h - 3*z - 16 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**4\/12 - 5*t**3\/3 - 15*t**2\/2 + 7*t. Let i be k(13). What is the highest common factor of i and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d + 117*d - 40*d - 11277560 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1550839292 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -47.1 and -5?\nAnswer: 235.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -2*t**6\/3 + 144*t**5\/5 + 114*t**4 + 464*t**3\/3 + 78*t**2 - 413. Factor a(b).\nAnswer: -4*b*(b - 39)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94 - -92. Does 9 divide 11 + z - (2 - (2 + 0))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) -117 (c) -2 (d) 3 (e) 43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 45564351*q**2 - 2304801 wrt q?\nAnswer: 91128702*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24021003 (base 5) to base 6.\nAnswer: 4415040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(228) + -2*sqrt(228)*4 - sqrt(228))\/(sqrt(12) - (sqrt(192) - -2*sqrt(192) - sqrt(192) - sqrt(192))).\nAnswer: 4 + 8*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -3*a**2\/2 + 4. Let r(w) = -2*w. Calculate r(b(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 243720.\nAnswer: 243720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4 + 733*x**2 + 3 - 724*x**2.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -2*j + 111318, -50*j + 47*j = -2*i - 166956. What is the highest common divisor of j and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -50*l. Let b(c) = -446740*c**2. Determine b(x(s)).\nAnswer: -1116850000*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 14 = -1. Suppose -6*a = -a - w. Suppose h = -a*q + 9, -5*h - 2 + 19 = q. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33 + 12?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**3*b**3 + 6*a**3*b**2 + 2*a**3*b + 97*a**2*b**3 - 11*b**2 wrt b?\nAnswer: 12*a**3 + 582*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4544*j + 22*j - 8806*j.\nAnswer: -4240*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 67, 35, -51, -209?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o - 45. What is the units digit of l(-28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -377 - -1064?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17879*q = 17890*q - 65538. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59282 plus -2014.5?\nAnswer: 57267.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.3910166 + -0.03\nAnswer: 0.3610166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + (-45 - -68) - (-25 - 0) - 0?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 592928471.\nAnswer: 592928471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19 and -399?\nAnswer: 7581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -2\/3, 1\/6, -12, 30721 in descending order.\nAnswer: 30721, 3\/2, 1\/6, -2\/3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 1, -9?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/9 - 4)\/((-4)\/6). What is the third derivative of -26*u**3 + u**f - 27*u**3 + 72*u**3 wrt u?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 35. Let m = w - 9. Suppose 0*f = -3*f, 5*f = -m*b + 80. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -2 (b) 1 (c) 4.13 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 2 = 3*z. Suppose -z*p + 18 = -2*p. Let d be -3*(-3)\/p*-3. What is the closest to 0 in 3\/7, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-4))\/(-1)*47*(-14)\/(-2303)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 7:55 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2196 = -588*w - 1193 + 4289 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15776, 16303, 16832, 17363, 17896?\nAnswer: 18431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (1 - -19) - -1 - -39?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.6 - 8. Let x = -0.2 + v. Let o = -1892 - -1891.6. What is the third biggest value in o, 2, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c**2 - 7*c**2 - 6*c**2)*(-2 + 1 + 4 + (3 + 0 - 5)*(-1 - 3 + 5)) + (-2*c + c - 2*c)*(6*c - 2*c - c) to m*c + d*c**2 + n and give d.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v - 8*v - 7*v**3 + 3*v + 2*v**3 to the form q + m*v + j*v**3 + i*v**2 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7\/16 (b) 2 (c) -136\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 105, 112, 121, 132?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14 and -3.13.\nAnswer: -43.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 92038171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -1855*t. Let v(x) = 3*x. What is m(v(h))?\nAnswer: -5565*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3352 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 6:54 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + 2 + sqrt(242) + sqrt(242))**2 - (sqrt(40)\/sqrt(4))\/sqrt(5).\nAnswer: 131*sqrt(2) + 2182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/(-2) - 1469\/(-113). Suppose 1\/4*y**b + 0 - 5\/4*y**2 - 1\/2*y - 3\/4*y**3 + 1\/4*y**4 = 0. Calculate y.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**5\/7 + 222*y**4\/7 + 2340*y**3\/7 - 275550*y**2\/7 - 1406625*y\/7 = 0.\nAnswer: -31, -5, 0, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 5*b + 164430, -2*r - b = -101205 + 35434. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -6\/473?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 5*t**2 - 14*t - 43. Suppose 5*v = 4*j - 46, 4*v = -2*j + 2 - 18. What is q(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l**3 + 23*l**2 + l - 3. Let i(d) = 3*d**3 - 15*d**2 - d + 2. Let s(w) = 8*i(w) + 5*t(w). What is s(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -733.836 and 0.1.\nAnswer: -733.736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 5:00 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010689103 to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-22)\/((h*h**(-1\/6))\/h))\/(h**(-1\/5))**(-1\/28))**(-8) assuming h is positive.\nAnswer: h**(18346\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -9. Let y(n) be the second derivative of -n**3\/3 + n**2\/2 + 6*n + 146. What is y(j)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-8)\/(z\/(z**(-12)*z))*((z\/(z**(-2)\/z))\/z*z)\/z*z**10*z assuming z is positive.\nAnswer: z**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**7\/140 + 7*p**6\/40 + 49*p**5\/40 + 145*p**2 - 2*p. Let x(r) = 0. What is r?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 8*c + 15. Let b be o(5). Suppose 0 = 3*m - 15, 5*z + b = -5*m + 7*m. List the prime factors of (-1)\/(((-3)\/212)\/(z\/(-6))).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 15*h - 1. Let j be n(16). Suppose 3*x = 8*x + j. Let c = 15 - x. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 107052, 106901, 106750, 106599, 106448?\n\"Answer: -151*g + 107203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**2*p**5 + 35*d**2 + 870*p**5 + 117*p**2 wrt p?\nAnswer: 120*d**2*p**2 + 52200*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-3)*2\/8.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -158087.9 + 145498. Round h to the nearest one hundred.\nAnswer: -12600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318878.\nAnswer: 2, 7, 22777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z. Let h(o) = o. Suppose 53 = -5*c + 158. Let t be (-40)\/56 - (-2 + 48\/c). Give t*j(s) + 3*h(s).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 74*d - 69*d - 28.\nAnswer: -143*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*z - 21 = 115*z + 102 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -224 - 145*j + 224 - 284*j to a + f*j and give f.\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**3 + 1. Let m(y) = 7*y**3 + 2. Let f(w) = 5*i(w) - 3*m(w). Let r(u) be the first derivative of f(u). Let c(h) = 2*h**2. Give c(r(v)).\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*(sqrt(2448) - (0 + sqrt(2448))) - sqrt(2448) - (1 + sqrt(2448)*-2))**2.\nAnswer: -24*sqrt(17) + 2451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g - 30. Let y be m(-9). Suppose 0 = y*n + 215 - 317. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 233.0766ms?\nAnswer: 0.00388461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803749739.\nAnswer: 13, 61826903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 643.647 + -643. Let r = m + 0.053. What is the second smallest value in r, 4, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 20 = -q, -34 = 5*q - 0*q + 3*i. Let z be (444\/(-10))\/(q\/(-175)). Is 1\/(3\/z*-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -262000 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**2\/17 - 2470*j\/17 - 29928\/17 = 0. Calculate j.\nAnswer: -12, 1247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1086 is divided by 35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 12\/19, 0.4 in ascending order.\nAnswer: -3, 0.4, 12\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53916 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3490*o - 69866. Calculate y(-20).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 74695936 and 2044?\nAnswer: 74695936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 18*u - 44. Let f be p(5). Suppose -f*i = -78*i + 2247. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*v = -22. Calculate the least common multiple of v and (-9 + 84\/36)\/(2\/(-3)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 802 is divided by 226?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 4*s**2 + 3*s. Let p = 175 + -84. Suppose 4*u - 2*u = 70. Let x be (-6)\/10 + p\/u. What is f(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1150 and -9494?\nAnswer: 10918100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3013*g - 3013*g + 79*g**4 + (5*g - 2*g - 2*g)*(-7*g**3 + 9*g**3 + 22*g**3).\nAnswer: 103*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -304 - -299. What is the biggest value in 1, -2.1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 12) in base 5?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2) + 25\/10. Let u(j) = 7*j**3 + 2*j**2 + j. Let o be u(-1). What is the units digit of (b\/o)\/(1\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 142 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + m. Suppose -q + 9 = 2*i, -5*i + m + 17 = -3*q. Let f be 0 + 0 + 16*q. What is the greatest common divisor of f and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-18)*l*l)\/(l\/l**(-5\/13))*(l\/((l*l*l**21*l)\/l))**20 assuming l is positive.\nAnswer: l**(-5452\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 389 + -417. Let h = -78.9 - -51. Let w = b - h. What is the second biggest value in w, 1\/6, 1\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-121)\/(-144) - (-32)\/144. Does d = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61637.\nAnswer: 61637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 s when three letters picked without replacement from sbbssssshsh.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 455*w + 4109. Let i be a(-9). Suppose 2*m + 3*m - 910 = 0. What is the highest common divisor of m and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162, 118, 394, 666, 934?\nAnswer: 1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 18 = -49639*o + 49634*o, 0 = 5*o - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - (-104)\/(-65))\/((-3)\/76155) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 423 (base 8) to base 2.\nAnswer: 100010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - 8. Let m(u) = -948*u + 1352. Let g(f) = m(f) + 7*o(f). What is the first derivative of g(r) wrt r?\nAnswer: -955","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -3. Let f = p + 2.9. Let k be 3\/54*14 - 1. Put k, f, -4 in ascending order.\nAnswer: -4, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a + a**3 - 4 + 8*a**2 - 2*a**3 - 2 - 4. Is m(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 2*t + 5, 0 = -2*k + t + 199. Let r(x) = -x**2 + 9*x - 4. Let j be r(7). What is the highest common factor of j and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 3*v + 6, -2*l - 2 = 2*l - v. Let j be (1 - -2)\/(l + 1). Which is bigger: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -93 - -56. Suppose -179*q + 174*q - 170 = 0. Let g = q - a. Solve 2*d = g*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 3 + -4 - (-103 + -20 - -76).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81212.56 years to millennia.\nAnswer: 81.21256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.316 to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -12, -10, -4, 6?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 - (3 - (3 + 0)). Suppose 4*n - 15 = -u. Solve n*a - 12 = -2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214 = -48*b - 166 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*p - 1, -2*p = -6*g + 3*g + 23. What is the smallest common multiple of 80 and g?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 15*s**2 - 17*s + 2. Let r(o) = 7*o**2 - 7*o + 1. Let m(a) = a. Let k(d) = m(d) - r(d). Suppose 0 = 299*q - 224*q - 450. What is q*f(x) + 13*k(x)?\nAnswer: -x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 895224 or 895344?\nAnswer: 895344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 3:39 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39 and 6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57812*-1.\nAnswer: -57812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r**4 - 2*r**3 + 632163*r**2 + 332996 wrt r.\nAnswer: 4*r**3 - 6*r**2 + 1264326*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqq when three letters picked without replacement from oqooqooffoffoofoff?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14274 and 12078.\nAnswer: 157014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c. Let l = 198 - 198. Let m be 3 - (-1)\/(2 - 1). Let k(r) = 40*r + l*r**2 - 40*r - m*r**2. Calculate o(k(f)).\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157911.\nAnswer: 3, 13, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 6*r**2 + 2*r. Let m be c(-4). Suppose 6*z - 33 = -2*y + z, 2*z = -2*y + m. Solve -5*g - y = -2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60 + 122 + -46 + 76\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 896, 2921, 6298, 11027, 17108, 24541, 33326?\nAnswer: 43463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 1:29 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 3*a + 4*a - 2*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v**3 - 4*v**2 + 9*v + 4. Let l(d) = -5*d**3 - 7*d**2 + 17*d + 7. Let f(o) = -7*c(o) + 4*l(o). What is the second derivative of f(q) wrt q?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 6815, 74 in decreasing order.\nAnswer: 6815, 74, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 100011000001?\nAnswer: 100011000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + l + 9 = 0. Suppose -l*f = -0 - 6. Suppose -g = -6 + f. Solve d - 22 = -g*y - d, 4*y + 3*d = 27 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 6*x - 21. Suppose 0 = 4*v - 1 - x. Let y(q) = -1 + 0*q**3 - v*q**2 + 2*q - 4*q - q**3. Calculate y(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/9, 8, 1\/682?\nAnswer: 1\/682","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/1*(-4)\/(-300)*15*5.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 8*n**2 - 40*n + 91. What are the prime factors of c(22)?\nAnswer: 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 392*t**2 + 390*t.\nAnswer: 2*t*(t + 1)*(t + 195)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -49429.3459 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -2.01. Let h = -0.99 - a. What is the closest to 0 in -0.4, h, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/(s*s\/(s\/((s\/s**(13\/3))\/s)*s)))\/s))\/(s*s**(-2\/45)) assuming s is positive.\nAnswer: s**(-193\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 39*j + 33*j - 18*j - 19*j - 15*j - 22*j. Let c(u) = 5*u + 0*u + 7 - 3. What is y(c(m))?\nAnswer: -10*m - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 5\/4, 0.1, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/(3267\/(-22)))\/(4\/(-81))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/8 + (-699366)\/(-24) + -3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328064?\nAnswer: 2, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2106 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a**2 - a**2 - a**2 + 22*a**2 + 2 + 3.\nAnswer: 8*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*n**2*x**2 - n**2*x - 12*n*x - 91*x**3 - x wrt x?\nAnswer: 6*n**2 - 546*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 12*u**2 + 13*u + 3. Let f(o) = 2*o**2 + 3*o - 1. Let a be f(2). Let j be r(a). What are the prime factors of -7 + (7 - j) - -10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (570\/171)\/((-4)\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**2 + 10432*w - 68332560 = 0 for w.\nAnswer: -5638, 3030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0583 + -0.0583. Which is the closest to i? (a) -0.5 (b) -0.019 (c) 0 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 528 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -2.9. Let i(m) = m**3 + 6*m**2 + 8. Let f be i(-6). Let q be f\/(-18) + 8\/(-36). What is the nearest to s in -0.1, q, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((78\/(-52))\/(126\/(-240)))\/((-4)\/(-14))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -631\/34 - 135\/17. Suppose 5 = 4*v - 3*j + 122, -2*j = v + 32. What is the common denominator of 261\/(-30)*2\/v*-5 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378 = -23*g + 3808. What is the remainder when 230 is divided by g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19806, -79212, -178220, -316830, -495042?\n\"Answer: -19801*q**2 - 3*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3180663?\nAnswer: 3, 157, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 4*x - 1. Let d be z(-3). Suppose -4*y - h - 14 = 10, d*y - 4*h = -12. Let k = y - -15. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -979 < -980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 31*b. Let s(n) be the first derivative of -n**6\/180 + 127*n**3\/3 - n + 244. Let w(h) be the third derivative of s(h). Determine u(w(c)).\nAnswer: -62*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u + 5*x = 60, -5*u - 70 = -5*x. Let w be (-11 + 8)*u\/3. Suppose 11*l - w*l - 235 = 0. List the prime factors of l.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6010518 millilitres?\nAnswer: 0.0006010518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6108 - 12133 + 39*d**2 + 3516 - 36*d**2.\nAnswer: 3*d**2 - 14725","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*-5*sqrt(176) + ((sqrt(55)\/sqrt(5)*-2)**2 - sqrt(176)*-2)).\nAnswer: -272*sqrt(11) - 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43400351 a multiple of 336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.458 times 248?\nAnswer: -113.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -58? (a) -15\/28 (b) 0.8 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 254847991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 461*c**2 - 1802*c**2 - 852*c**2 + 57*c**2 - 691*c**2.\nAnswer: -2827*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**(7\/4)*f)\/f**(-5\/4))**3)**(-27\/2))**(-4\/3) assuming f is positive.\nAnswer: f**270","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (2 + -2) - -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1573?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2015333, 2015390, 2015445, 2015498, 2015549, 2015598?\n\"Answer: -i**2 + 60*i + 2015274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5714773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - 195*v - 433*v in the form i + d*v and give d.\nAnswer: -628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 50*f + 391. Let q be v(-7). Solve 41 = 2*h + q for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111.4564 minus 1308164.23?\nAnswer: -1308052.7736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/7)\/j)**(-23\/4)*(j\/(((j*j**7)\/j)\/j)*j)\/(j*j*j**3))**(-31\/4) assuming j is positive.\nAnswer: j**(1395\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m - 2. Let u be k(4). Is 3 a factor of -2 + 0 - (u - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxrwwxxxxxwwxrxxuxuw. What is prob of sequence wwww?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of -9 + 2 + 1744 + -45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146960.\nAnswer: 2, 5, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000255707437 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**2 + 4462720*c - 1244741862400 = 0 for c.\nAnswer: 557840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-84)*2723\/(-3112).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-2))\/((-21)\/28). Let n be 33\/6 + g\/4. Solve 0 = -2*z + n*z + 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*m - 3408 - 1378 = 1370 for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 109*m**2 - 2956*m + 179. Give b(23).\nAnswer: 2019","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10068 is divided by 106.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-40) - (21\/(-15) - (426 - 428))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.4001 - -303.5999. Which is the nearest to 0? (a) -4 (b) v (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**2 + 12*r - 42. What is f(4)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and -0.3845?\nAnswer: 0.00769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/48*6*-2. Is 24 a factor of (b\/(-3))\/((-2)\/16)*-90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.985 - 2.815. Put n, -5, 1 in decreasing order.\nAnswer: 1, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*h - 2700 = -5*h. Is h > -78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r - 6*r + r + (7 - 7 + 4*r)*(6 - 3 - 1) + 35 + 10*r - 35.\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 s when two letters picked without replacement from qqseiffswqiw?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (88\/(-12))\/(-2) + -3. Let h be 8\/22*3\/(-6). Let i = 120 + -119. Which is the third biggest value? (a) h (b) i (c) -0.4 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-480)\/(-40) - (-248)\/(-20). Which is smaller: -35.8 or r?\nAnswer: -35.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*d + 32 = 0, 5*b = 4*d + d + 10. Suppose 114 = b*f - 54. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(((c*c*(c**(-1\/21)\/c)\/c*c)\/c)\/c))\/c)\/((c\/((c*((c**(-4\/9)*c)\/c)\/c)\/c*c))\/c) assuming c is positive.\nAnswer: c**(38\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 1. Let n(b) = 5*b**2. Determine a(n(w)).\nAnswer: -25*w**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 2511508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 11, t: 3}.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express b + 9*b**2 - 2*b + 0*b + 3*b in the form s*b**2 + t + d*b and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -374.98 + 378. Let i = z - 0.02. Let w be (-12)\/(-33) - (-15)\/((-9240)\/(-304)). Sort 2\/5, i, w.\nAnswer: 2\/5, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1202.4073789 rounded to two decimal places?\nAnswer: -1202.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 22*g**2 + 3*g - 6. What are the prime factors of i(3)?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -7*v + 29. Let u(s) = -s + 1. Let r(b) = n(b) + 5*u(b). Let p be r(-21). What is the second derivative of -4*w - 286*w**2 + p*w**2 + w**4 wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**4 + 30*i**3 + 770*i**2 - 5880*i + 2744 = 0. Calculate i.\nAnswer: -14, 1\/2, 7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 1 - ((-8 - -22) + -20).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, 0.2, -0.13225?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1266 divided by 6154?\nAnswer: 633\/3077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 494354066.\nAnswer: -494354068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 30, 0 = -436*b + 431*b - 4*h + 1476. Solve -u + 4 = -2*m, -5*u + b*m - 302*m = -8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*36\/126*(-10)\/32*-1?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 11*m**2 + 13*m. Let f(w) = -12*w**2 - 13*w. Let q(d) = -4*f(d) - 5*u(d). Find the second derivative of q(g) wrt g.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**3 - 4*n + 3. Let p(v) = 11*v**3 - 9*v + 5. Suppose -7*s + 10*s = -5*l, -l = -2*s - 13. Calculate l*p(j) - 7*c(j).\nAnswer: -2*j**3 + j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12300349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385 is divided by 224.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/11 + 9766*o\/11.\nAnswer: 2*o*(o + 4883)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 + -10010?\nAnswer: -10121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 99*u - 3*u**2 + 2*u**3 + 1 - 101*u + 2*u**2 - u**2. Let b be o(2). Solve -2*k = 2*a - 3*k - 4, -8 = -4*a + b*k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 25 = -10. Let f = -10 - -14. What is the remainder when l is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 7:19 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*b + 7*b - 4, 4*r + 3*b - 8 = 0. What is the nearest to 1 in r, 2\/9, 0.032?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 73836, 73835, 73834, 73833, 73832, 73831?\n\"Answer: -w + 73837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxyrhss. Give prob of picking 1 r and 1 s.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from nncnuuudiei.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2832 and 9381?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7919441 or -7919483?\nAnswer: -7919483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-17)\/3 - -3)\/(12\/(-18)))\/1. Solve -3*k = -k + i, -3 = h + k for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458*n - 11 = -459*n + r, 58*r = 66*r + 88 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.5 + 2.9. Let g = 3.017 + -0.017. Which is the nearest to u? (a) 1\/3 (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*w = -218*w + 6. Let x be (9 + 39)\/w + -5. Solve 2 = -i - x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 892 and 382210.\nAnswer: 170465660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1851, 1790, 1733, 1680, 1631?\n\"Answer: 2*h**2 - 67*h + 1916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001163 rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5924 is divided by 5825.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2538900628.\nAnswer: 2, 11, 2129, 27103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 - 11*m**2 + 8*m + 31. Let l(t) = -3*t**3 - 18*t**2 + 14*t + 62. Calculate -3*l(p) + 5*v(p).\nAnswer: -p**3 - p**2 - 2*p - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/4*14 - -216 is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s. Let k(g) = 6*g - 5. Let n(i) = -5*d(i) - k(i). Let u(o) = 3*o**3 + 3*o**3 + 3*o**3 - 10*o**3 + 7*o + 6*o**2. Let y be u(7). Give n(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -81086?\nAnswer: -81085.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 k when three letters picked without replacement from {v: 1, q: 3, k: 3, d: 6}?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1152 = -7455*p + 7407*p. What is the greatest common divisor of 636 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 225*h - 3323. Let k(s) = 2*s**2 - 270*s + 3321. Determine -6*j(y) - 5*k(y).\nAnswer: -4*y**2 + 3333","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 4 - 8 + 82*s in the form a + j*s and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -8*w + 21. Let p(t) = -t + 1. Let m(z) = -3*l(z) - 12*p(z). What is the first derivative of m(k) wrt k?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 4 = 31. Let z(s) = s**3 - 4*s**2 - 3*s - 10. Let v be z(d). Solve v = n + 4*k - 1 - 2, -k - 12 = -4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 6:05 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -528 by 264.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*n**3 - 6430538*n + 12154409 wrt n?\nAnswer: 6*n**2 - 6430538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 19*l**2 - 98*l + 206. Determine x(3).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.2, 4\/7, 7, -2\/13, 1.6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -226*v**3 - 2*v**2 + 4964*v + 42788546 wrt v.\nAnswer: -678*v**2 - 4*v + 4964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 13838.\nAnswer: 27676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 924000 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*w**3 - 53584*w**2 + 716432*w + 1648384 = 0. Calculate w.\nAnswer: -2, 16, 12878\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 227049, 454097, 681145, 908193, 1135241, 1362289?\nAnswer: 1589337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l. Let p(s) be the first derivative of s**6\/360 + s**5\/4 - 77*s**3\/3 + 128. Let t(d) be the third derivative of p(d). Determine c(t(z)).\nAnswer: 4*z**2 + 120*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11, 4, -3, -10, -17?\n\"Answer: -7*q + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460 is divided by 82?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f + 1 = 0. Let a(s) = 15*s**3 + 1. Let y(x) = 11*x**3. Let o(j) = 3*a(j) - 4*y(j). Let u(n) = -1. What is f*o(v) + 3*u(v)?\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16.759 (b) -2\/19 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 14, 1\/5, 5, -5\/4, -5, 3, -0.1552?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -38*m**2 + 8*m - 14. Let u(x) = -25*x**2 + 5*x - 9. Let c(k) = 5*f(k) - 8*u(k). Let z(t) = 2*t. Give c(z(o)).\nAnswer: 40*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/21*(-5 + 4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*f - 12*f - 268 = -5589 - 17119 for f.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -214?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.366281ug to milligrams.\nAnswer: 0.006366281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 14*u**3 + 6*u**2 - 7*u + 10. Let o(a) = 3*a**3 + 2*a**2 - a + 1. What is -5*o(h) + x(h)?\nAnswer: -h**3 - 4*h**2 - 2*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhh. What is prob of picking 3 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + p = -5*u + 99, 2*p + 165 = 5*u. Let v = -29 + u. Find the second derivative of 0*d**4 - 5*d**4 - d**v + 4*d + 3*d**4 wrt d.\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(1\/(-7 - 0)). Let v be (q\/7)\/((-2)\/50). Is v\/(-10)*12\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -775 in -2\/9, -0.5, -0.4, 1\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (630\/(-245))\/((-4)\/7) + 14\/(-7)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h - 5562 - 4376 = 18258. Solve 1404 - h = 16*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -47, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1275498 to the power of 1\/2, to the nearest integer?\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2160 and 5520.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/112*4)\/1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/11 or 0?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -3. Let h(f) = -f**2 - 41. Let y be h(-27). Let l be 6\/(-15)*y\/(-98). Is l greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i - 14*i - 18 = 0. Solve x = -x - i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2104 - 1666?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 + 15552068*d + 31104140.\nAnswer: -(d - 15552070)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 11. Let y(n) be the third derivative of -2*n**a - 1\/12*n**4 + 0*n + 0 - 1\/3*n**3. Find the first derivative of y(w) wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.2613 + -0.2613. Sort 0, -5, -0.06, m in decreasing order.\nAnswer: m, 0, -0.06, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -166 - -558. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13347 (base 8) to base 9.\nAnswer: 8034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 3*l + 4*v, l - 5*v = 0. Suppose 4*r - s + 2 = l, -5*r + 4*s - 8 = -3*r. Let c = -28\/297 + 2\/99. Is r >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6591, 13151, 19731, 26337, 32975, 39651, 46371, 53141?\n\"Answer: p**3 + 4*p**2 + 6541*p + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 4*n**2 - 2*n + 8. Let t be q(4). Let p(b) = b**3 + 3*b**2 - b + 1. Let i be p(t). Which is smaller: -40 or i?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 5*q - 27 + 174, 3*x - 2*q - 112 = 0. Calculate the remainder when x is divided by (0 - -2)*11 - 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 526.2 - 526. Which is the nearest to u? (a) -2\/35 (b) 2\/13 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + sqrt(272)*2) + 6*(-2*sqrt(272) + -3).\nAnswer: -8*sqrt(17) - 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.7 - -6.7. What is the second biggest value in -0.4, y, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77a (base 12) in base 3?\nAnswer: 1111211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvc when three letters picked without replacement from lullfllflclvllafll?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22330524 (base 6) to base 5.\nAnswer: -133234341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {y: 1, u: 4, t: 4, r: 7, a: 2}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/15*30\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 97264847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -2, -173794, 5, 14 in decreasing order.\nAnswer: 14, 5, 1, 0, -2, -173794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1550227?\nAnswer: 7, 221461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-362061)\/(-35) + 128\/(-80)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -845 - -7416. Which is greater: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*w = 130, -46 = -2*g - 3*w + 4*w. Suppose 0 = 6*p - g - 6. Suppose -52 = -p*a + 8. Calculate the remainder when 33 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 1498629894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8236 + 24428\/3. Let z(s) = -95*s**2 - 49*s + 50. Let a be z(1). Let f = a - l. Is 34 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*c*s*z**2 + 38*c*s + 2*c*z**2 + 131*c*z + 254*s - 1 with respect to z.\nAnswer: -10*c*s*z + 4*c*z + 131*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 13*m**2 + 46*m + 40. Calculate z(-16).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 10. Let r be b(-9). Let v be (1*(-8)\/(-220))\/(32\/40). Which is smaller: r or v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 677021.\nAnswer: 677021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 11*f + 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17324 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuxuuuuuuxuxuuuu. Give prob of sequence xuu.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 88\/(-1012) + 17114835\/69 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*d**2 + 0 - 2*d - 2*d**2 + 2*d + 3*d + d**2 - 3*d + (-2*d - 4 + 4)*(-1 + 1 + 2*d) - 2*d**2 - d**2 + 4*d**2 - 2*d**2 + 2*d**2 - 2*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 5*n - 211 + 20, 0 = -2*u - 5*n - 103 for u.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 8*c + 8. Let i be r(-8). Suppose 5*v = -0*v + 10. Solve -v = 2*s + i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 787838, 788116, 788392, 788666, 788938, 789208, 789476?\nAnswer: 789742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 12*k**2 + 4*k - 11. Let h(u) = 5*u. Let o be h(1). Let g(z) = -z**2 + 7*z + 2. Let x be g(o). Is n(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h + 0*h + 4 - 3*h. What are the prime factors of j(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5832 + 5862. What is the remainder when r is divided by 2 + -3 - 7*-3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from ynvphvk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 177, 4, -2\/5, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 + (-16 - 16))\/((-6)\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 - 20*m + 47. Determine w(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36.9 + -36.900000362. What is w rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(2\/7))**(4\/9)\/(z\/(z\/z**(-2\/3)*z))**11)\/(z\/z**(1\/3)*(z*z**(-1\/11))\/z*z\/(z**(-1\/5)\/z*z)*(z**(-1)*z)\/z) assuming z is positive.\nAnswer: z**(61937\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 12:36 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4325520 and 45560.\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/95)\/((-1920)\/(-1140)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 8158, -5.\nAnswer: -5, 17, 8158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 103\/2 - (-15)\/6. Let q = 167 - o. List the prime factors of q.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 5:14 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhwwhzhzhzhh. Give prob of picking 1 w, 1 h, and 1 z.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w**2 - 15*w + 51. Let k(d) = -d**2 + d - 7. Let g(p) = 4*a(p) + 20*k(p). Factor g(y).\nAnswer: 4*(y - 8)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2\/5, 2\/155, 3\/5, 5, 4?\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 311 divide 1638177261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 <= -1\/3185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14844 from 1.\nAnswer: -14843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1123485?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b410 (base 13) in base 12?\nAnswer: 26ab5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 13*s - 23. Solve 5*o - s = 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19482812 to the nearest integer?\nAnswer: 4414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 97891351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164927 is divided by 15361?\nAnswer: 11317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7981, 15953, 23931, 31921, 39929, 47961?\n\"Answer: l**3 - 3*l**2 + 7974*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20149, 20175, 20201?\nAnswer: 20227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 11 = 6*f. Suppose -6*u = -f*u. Suppose u = -4*y + 5*k - 4 - 6, -5*k = -3*y - 10. Is y <= 1\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323737 is divided by 100.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 872199.2 millennia in centuries?\nAnswer: 8721992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(171)*-3)\/(sqrt(36)\/sqrt(4)*-3*3).\nAnswer: -4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23.1 - -135.9. Let g = l + -173.8. What is g rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1388027\/1197 + -9084\/133. Let k = 1228 + v. Find x, given that -k*x**2 - 8\/9 + 2\/3*x = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h, -4*q - 2 = 5*h - 18. Let g(o) be the second derivative of 2\/21*o**3 + 0 - o + 1\/7*o**2 + 1\/42*o**q. Let g(c) = 0. Calculate c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 497153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -6 (c) -5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5630\/3 + 1877. Let l(u) be the second derivative of 0 + s*u**3 + 0*u**2 - 28*u. Let a(d) = -2*d**2. What is a(l(m))?\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, 4, 1\/3, -4, -5 in decreasing order.\nAnswer: 7, 4, 1, 1\/3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70 + 78. Suppose p - 461 = -4*s, 452 = -4*s + z*s + 4*p. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, v: 2, k: 1, f: 1, z: 1, a: 1}. What is prob of sequence fvv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6991, 13740, 20483, 27226, 33975, 40736?\nAnswer: 47515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + m + 51 = -0*z, -3*z + 4*m + 22 = 0. Let v be (z\/10 - 2)*-70. What is the greatest common factor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1418 is divided by 700?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**1)**50*y*y**(-2)*y**(-5)*(y*y*y*y**1)**(2\/5)\/(y**(2\/5))**(1\/98) assuming y is positive.\nAnswer: y**(-1079\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(156)*2)\/((sqrt(180)\/sqrt(3))\/sqrt(5)).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - n)*(2 + 2 - 3)*(-840 + 164 + 46).\nAnswer: 630*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/6 + 1350\/(-324).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -302, -304, -310, -320, -334?\n\"Answer: -2*o**2 + 4*o - 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*93338.5.\nAnswer: 1120062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5140 + -35983\/7. What is the third smallest value in -1, -2, 7\/5, p, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -1\/4 (b) 3 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 2*b**2 - 4*b - 5. Suppose -16 = -4*j - 4*l, -20 = -5*j + 3*l + l. What is h(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 s when two letters picked without replacement from yscccgy?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -121 in 3, -7, -0.6, -0.3, 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 864606879 a multiple of 243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n**2 + 5*n + 3. Let v be j(3). Let x = v + 10. Let w = 17 + x. What is the highest common factor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/22 and (-2 - -5) + ((-77)\/12)\/(-7).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.55289 + 7456143.\nAnswer: 7456144.55289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + 1*sqrt(65)*-3 - sqrt(65))\/sqrt(5))**2 - (sqrt(325) + 0 + (sqrt(325) - (sqrt(325) + 2))).\nAnswer: -5*sqrt(13) + 119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1696, 8, 11, -4 in decreasing order.\nAnswer: 11, 8, -4, -6, -1696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 3. Determine c(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9182644 divided by 1?\nAnswer: 9182644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, a: 3, i: 1, q: 2, j: 5}. What is prob of sequence iq?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/14*9\/36*(-31)\/2232*-32.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*x = 0. Let c = -1\/1032 - 229\/344. Which is smaller: c or x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f + 6. Let t be s(-6). Find the common denominator of ((-3)\/4)\/(t\/50) and 3\/(-12) - 542\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-9))\/((-21)\/63)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14875 is divided by 187.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15688 or 15691?\nAnswer: 15688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -12*q + 2. Let t be h(-1). Suppose p = -p + t. What is the least common multiple of 6 and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 8*z**2 - 36*z - 76. What is the hundreds digit of s(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6012, 12022, 18058, 24132, 30256?\nAnswer: 36442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t + 1. Let b be (-26)\/(-7) - 10\/(-35). Suppose l + 2*j - 12 = -0*j, b*j - 20 = 0. Suppose 0 = -4*f + 8, -l*a + 3 = a + 3*f. Determine n(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**1)*k*k**(-3)*k)\/(k**(2\/7)\/k)**(1\/9))\/((k\/(k**3*k))\/(k*k\/(k*(k\/(k\/(k*k\/(k*k*k**(-4\/3))*k)))\/k)*k))**(-50) assuming k is positive.\nAnswer: k**(-11671\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3631841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11592659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 3:53 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aooa when four letters picked without replacement from aaaoooaaaaa.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*i = -8*i - 475. Let u = 31 - i. Solve -u*x - 5 + 5 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 86993 - 0.4.\nAnswer: 86992.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1142082707?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - h + 6. Let j be c(0). Suppose -2*y - 5*o + 39 = 0, 0*y - 3 = -y + 3*o. Let m = 16 - y. Solve 5*v = p + m, -v - 2*p - 2 = j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 5*y + 13, 5*d + 5*y + 43 = 2*y. Suppose -8*q + 6*q - 8 = 0. Let u = d - q. Which is smaller: u or -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12455 > -12455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a day in seconds?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269222 is divided by 1264?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 204 - (91 + 137) - (1 + 22)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2305936 - -3\nAnswer: -2305933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d - 1171 - 1788 = 0. Let u = d - -267. Sort 2\/7, 4, 2.2, u in ascending order.\nAnswer: u, 2\/7, 2.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 321070*b**2*f**3 - 2666*b**2*f**2 - 3*b*f**2 wrt f.\nAnswer: 1926420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 3 - 7. Let s(h) = -7*h - 1. Let i(f) = 2*f - 6*f + 3*f. Let q(k) = 6*i(k) - s(k). Determine q(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 0*a - 15. Let g be a - (-2 - (-1 + 44)). What is the greatest common factor of 105 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -16.483.\nAnswer: -16.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/s**7)\/s)\/s**(-4))**(-29))**(-6) assuming s is positive.\nAnswer: s**(-522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2600 and 582560?\nAnswer: 37866400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (346\/(-865)*(-1)\/(6\/(-20)))\/(26\/(-12))\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from kppqwwp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28204739 + -19004739. Round i to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -460572.693613 + 459892.694. Let q = f + 680. Round q to five decimal places.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 1 - 2)*(-1 + 0 + 0)*(4 - 4 + a)*(3 - 1 - 3).\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12709, 0.1, 4.\nAnswer: 0.1, 4, 12709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 8*k**2 - 8*k + 4. Suppose 2*r = -3*z - 19, 0 = 4*z - 3*r + 7*r + 24. Let g be a(z). Suppose 4044 = g*t - 367. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*f - 5*u - 158, -4*u = 0. Let l = -46 + f. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.2, 5, 952?\nAnswer: 952","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 242 and 257312.\nAnswer: 2830432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20277 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/27342 and -59\/14112.\nAnswer: 437472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4612612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.3 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 6 + 5 + 2*i. What is z(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2302509101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28236 and 37648.\nAnswer: 112944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 990150341 - 7*g - 990150341.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 167081, 167144, 167207?\n\"Answer: 63*z + 167018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/(t*t**(-3\/7))*t)*t\/((t\/t**6)\/t*t) assuming t is positive.\nAnswer: t**(39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 - (-36 - -36)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*(sqrt(20)\/sqrt(4) + -5 + sqrt(5))**2 + -5)*5.\nAnswer: -200*sqrt(5) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**3 + d**2 - 2*d + 4. What is the hundreds digit of z(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.2 - 0.8. Let o be ((-40)\/32)\/(105\/14). Which is greater: s or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 11, -202 in descending order.\nAnswer: 11, 2, 0, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*p - 1484*p + 39856 - 39857.\nAnswer: -1537*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-55)\/(-99)*(-4)\/10. Which is the third biggest value? (a) 0.4 (b) l (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12904 + -12903.99983643. What is q rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 10:32 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 4*m**2 - 4*m**2 + 6 - 4*m**2 + 2*m**2 + 2*m. Let o be y(-3). Does 5 divide (-116)\/(-6) + (-30)\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/113557849 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*p + 3 + 1, -a = -5*p + 16. Calculate the remainder when 6 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (176\/(-616))\/((-78)\/(-21))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*v**2 - 2*v**2 - 2*v**2)*(2*v - 3*v + 4*v)*(-268*v**2 - 2*v - 273*v**2 + 539*v**2 - 15).\nAnswer: 78*v**5 + 78*v**4 + 585*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 14, 10, 17 in descending order.\nAnswer: 17, 14, 10, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -19\/30*r**5 + 0*r + 0 - 8\/3*r**3 + 1\/120*r**6 - 1\/6*r**4 + 96*r**2. What is the second derivative of n(a) wrt a?\nAnswer: 6*a - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 107*q - 42. Let g be 1 - (-3 - -6) - -7. What is the tens digit of r(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from {d: 7, e: 9, y: 3}.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (248404946\/(-20) + 3)*2148. Let q = b - -1708369577899351\/64035. Let t = -2\/7115 - q. Find the common denominator of -95\/4 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -0.2. Let v = -6 + 8. Which is the nearest to 2\/5? (a) l (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10696\/66 - 196\/3234. Suppose 3*r - 2*r - 4*o = 55, 4*o = -4*r + 140. Suppose 0 = -3*p + h - r. Calculate the greatest common factor of 164 and p.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 396, 10 in ascending order.\nAnswer: 1, 3, 10, 396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5 + 89*w**4 - 684*w**3 - 976*w**2 + 16576*w - 30720.\nAnswer: (w - 4)**3*(w + 5)*(w + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mee when three letters picked without replacement from {e: 6, m: 12}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 241*c**2 - 76*c**2 - 147*c**2 to y + i*c + k*c**2 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + 2*f + 0 - 11 + 0*f + (0*f + f + f)*(f - 3*f + 0*f).\nAnswer: -5*f**2 + 2*f - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (305\/105 - 3) + 183\/63 and (6\/15)\/((-33)\/95)?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = i - 4. Let g(r) = 2*r**2 - 3. Let s(d) = 3*d**2 - 24. Let x(f) = f**2 - 9. Let v(l) = 7*s(l) - 18*x(l). What is i*g(h) + 3*v(h)?\nAnswer: -h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**3 - 28*t**2 + 37*t - 497. Is n(-40) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 1. Let h(y) = -2*y**2 - 7*y + 6. Let r(g) = -h(g) + 3*s(g). Let d be (-2 + 1)\/(6\/(-30)). Calculate r(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + -0.1. Let w = -0.22913 + -0.07087. Which is the nearest to -1\/5? (a) w (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14, -29, -50, -77, -110, -149?\n\"Answer: -3*n**2 - 6*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 11*u + 22. Let f(n) = -7*n - 15. Let m(y) = 8*f(y) + 5*r(y). Let x be m(-9). What is the closest to x in -1, -2\/3, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 85104984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -229258*b + 276534?\nAnswer: -229258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 12*u - 23. Let o be n(9). Find the third derivative of 17*t**o - 12*t**4 + 41*t**2 + 16*t**2 - 12*t**2 wrt t.\nAnswer: 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 682766543 a multiple of 4789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of o**2\/2 + 1. Let w = 1 - -15. Let m(s) = -4*s**2 - 7 - 9 + w. Determine u(m(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p**3 + 4*p + 4. Let l(i) = -6*i**3 + 3*i + 3. Suppose 16*k + 14*k - 26 - 64 = 0. Give k*f(x) - 4*l(x).\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7344*-0.331.\nAnswer: -2430.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * 1487.8.\nAnswer: -74.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i - 2 + 174*i**2 - 19*i**3 - 174*i**2 + 5*i**3 as f*i + k*i**3 + j*i**2 + y and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6*b + 57. List the prime factors of n(12).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12657*d + 1570*d - 10894*d - 14324*d.\nAnswer: -36305*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + (-428094)\/12376 - (-15)\/(-35).\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**2 + 4*g**2 + g**2 + (3*g - 3*g + g)*(-22*g - 13*g + 0*g) in the form u*g + b + x*g**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/22 and 20\/341?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 1:59 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 2*p**2 - 10*p - 11. What is y(-4)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*(i\/i**(1\/2))\/i))**(4\/5)\/((i*i\/i**(1\/9)*i)\/i**(-4))*i\/(i**(-4)*i)*(i\/(i**(3\/4)*i))\/i*i**(-4)\/(i\/((i*i**4)\/i)*i) assuming i is positive.\nAnswer: i**(-1123\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 17*p = 0. Suppose 0 = -4*o - 2*q + 2, 3*q = q - 6. Suppose -3*j - o*j + 445 = p. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.5186986 hours to days.\nAnswer: 0.104945775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2852249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10*(-8)\/24*54\/(-15)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -17, -134\/3, -2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 37 + 40 + -40 + 6\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5222 (b) 0.2 (c) -2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**2 - 4*r**2 + r**3 + 3*r**2 - 3*r**2 + 2*r**3 + (4*r - 2*r - 3*r)*(-6*r**2 + 10 - 21 + 15).\nAnswer: 9*r**3 - 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(153) + 1) + 4 - (-4 + sqrt(153)*2*4)) + (-5*(0 + sqrt(153) - sqrt(153)) - (2*sqrt(153) + 0 - sqrt(153))) + 5)**2.\nAnswer: -702*sqrt(17) + 25938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -768224 (base 11) to base 4.\nAnswer: -10223112013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 11:02 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -52774 <= -52771?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 10881 = 1105. Calculate the highest common factor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8323.677ng?\nAnswer: 8.323677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-87 - 119 + 155)*(-a**2 - 5*a**2 + 5*a**2 + (2*a - 6*a + 3*a)*(-a - a + 0*a)) to the form j + c*a + y*a**2 and give y.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -4*c + 24, -3*n - 7 = 6*c - 5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85592 + -6847643\/80. Let q = v + 3\/80. Calculate the common denominator of 97\/4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2110 + -2109. Let u = -3121\/11 + 284. Which is smaller: o or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 41210.32 millimeters?\nAnswer: 41210320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -0.3, -10079, 3\/2?\nAnswer: -10079","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -951 - -6675\/7. What is the third smallest value in 0, r, -0.1, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -681, -0.5, 0, -2\/5 in increasing order.\nAnswer: -681, -0.5, -2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -51*i + 31. Let u(r) = -26*r + 15. Let w(k) = -2*m(k) + 5*u(k). Let p be (-1 - -2)*-8 + -2. Is w(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = -16*s + 34*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 694 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 364*f + 8017. Let g(y) = 6. Let t(p) = 6*g(p) - l(p). What is the derivative of t(a) wrt a?\nAnswer: 3*a**2 + 364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8e0 - -e?\nAnswer: -8d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -239602.947 - 0.15.\nAnswer: -239603.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 17, 4, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1018.371 + 1030.4. Let b = i - 12.1. Is b greater than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -18. What is the 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: What is the least common multiple of 57 and 44403?\nAnswer: 44403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 11) to base 9.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*r + 6. Let y(m) = 2*m + 1. Let x(v) = 2*v + 1. Let h(u) = -4*x(u) + 3*y(u). Let b be h(r). Solve 30 = -b*s - 3*o, -s + 6*o - 3*o + 10 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -27 + 7. Let u be ((-22)\/(-44))\/(2\/8). Let k(y) = -y**3 - 21*y**2 + 12*y**u - 1 + 4*y**2. What is k(j)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-76)*-3*8\/36?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f - 19. Let i = -105 + 99. Let k be g(i). Solve 5*q = -k*y + 28 + 2, -3*y = 4*q - 20 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z\/(z*z**0\/z)))\/z*z)**(2\/35)*(z*z*z*z**3)\/(z*z**1) assuming z is positive.\nAnswer: z**(142\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8549706 is divided by 1853.\nAnswer: 1817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/800 and 41\/420?\nAnswer: 16800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -760206.786 to the nearest one hundred.\nAnswer: -760200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 - 70 = 4*l - 3*z, -l = z + 43. Let u = -40 - l. List the prime factors of (71 - (-1 - (-2 + u))) + 2.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83306116405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 7 = -19, -26 = -2*b - 3*p. Let o(z) be the first derivative of -17 - 18*z**2 + b*z**2 - 16*z**2. Let t(j) = 2*j. Determine t(o(h)).\nAnswer: -108*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 3*p - 4. Let t be a(-4). Which is bigger: t or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118596 is divided by 41?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 2*k + 1 - 2)*(6*k - k - k + k + 0*k + 0*k + (0 + 1 - 3)*(-2*k - 4*k + 5*k) - 3 - 2*k + 3).\nAnswer: -5*k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 0)*(-12)\/(-3). What is the least common multiple of (v\/8)\/((-5)\/(-50)) and 2*(-1)\/(-2) + 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 141 + -141.8. Let g = 0.05 + 2.95. What is the nearest to f in -1\/4, g, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j - 2*j + 4*j)*(1 + j - 1) + 1065*j**2 + 664*j**2 + 1916*j**2 - 614*j**2 + 164*j**2 to the form w*j**2 + i*j + t and give w.\nAnswer: 3194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77076703?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-135)\/(-18))\/15*-10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -4. Suppose -o*r + 5*v - 5 = 0, -r + 19 = -0*v + 3*v. Calculate the least common multiple of r and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*p + 69*p = -25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0174? (a) -2\/5 (b) 0.2 (c) -2 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 880.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 73a33 (base 14) to base 11\nAnswer: 180802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m**3 + 11*m**3 + 83439 - 83439 + 2*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**3 + 87*l**2 - 44*l - 21. What is i(-44)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-7884)\/(-90))\/((-4)\/(-30))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -29*v + 6. Let z be u(-2). Let l = z + -59. Solve l*a - 2*h + 4*h = 15, -6 = -2*a - 2*h for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 256, 518, 778, 1036, 1292, 1546?\n\"Answer: -n**2 + 265*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3196, -2895, -2592, -2287, -1980, -1671?\n\"Answer: u**2 + 298*u - 3495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 803 - 794. Is 31\/3 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*(3 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.92 + 0.08. Let s be 162\/120 - 6\/10. Let b = -1 + s. Which is bigger: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 17 = -f + 7, -4*f + 84 = -5*b. Solve 44*k + f = 40*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 422740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10627939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 3*i - 3. Suppose i*v = -11879 + 212879. Round v to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -404 * 0.8.\nAnswer: -323.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*a**4 + 1718*a**3 + 46847*a?\nAnswer: 144*a**2 + 10308*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.136 - 10.136. What is the second biggest value in -8, w, 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-1)\/(60\/(-5))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 212*j**2 - 1679*j - 114. Determine i(8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-12)*k)**(1\/12) assuming k is positive.\nAnswer: k**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 74 and 3.\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 - -3.2. Let n = 0 - 0.06. Let t = -46 - -46. Sort n, t, d in ascending order.\nAnswer: n, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + 0 + (1 - 5). Let a(l) = -9*l**3 + 6*l**3 - l - l**3. Let k be a(-1). Sort z, k, -2 in decreasing order.\nAnswer: k, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**8\/112 + 3*o**7\/70 + o**6\/20 - 9*o**2. Solve p(c) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**5\/60 - 2*x**4\/3 - 13*x**3\/3 - 139*x**2. Let y be n(-15). Let t(q) = -2*q - 16. Calculate t(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(13) - 1*sqrt(26)\/sqrt(2)) + -1*sqrt(39)\/sqrt(3))*-5*1*3)**2*2.\nAnswer: 60*sqrt(13) + 5852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (435\/116)\/(2\/40). Suppose -4*g + 134 = -2*x, -2*g = 5*x + 14 - p. Calculate the smallest common multiple of 24 and g.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 + 2*c - 1. Let u(k) = 4*k**2 - 31*k + 3. Let y(d) = u(d) + 3*v(d). Let w(g) = -2 - 9*g**2 + 7*g**2 + 2. Calculate y(w(t)).\nAnswer: -8*t**4 + 50*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + 3 + 1 + sqrt(432) + sqrt(432) + 2)**2.\nAnswer: 480*sqrt(3) + 1828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -225930375 divided by 15062025.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1249308259*q**4 - 241927748?\nAnswer: 4997233036*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -808 - -1218. List the prime factors of -2*(1\/2 - 2) + h.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 934782221?\nAnswer: 11987, 77983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 61*s**2 + 4451*s - 130. What is d(-73)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38407 and 199.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i - 3. Let h be y(1). Suppose -2*u + 1334 = 4*n, 2*u = -u + h*n + 2010. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0428308 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -8*d - 39. Let w be g(-6). Let k(n) = 0*n - 7*n - n + 1 + n**2. Let q be k(w). Solve 0 = -5*t + q, 4*l - 4*t = -0*t + 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5907457675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(12)*-6)\/(sqrt(8)\/(sqrt(2) + sqrt(6)\/sqrt(3))))**2*-6.\nAnswer: -10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/11, 22, -18 in ascending order.\nAnswer: -18, -2, -2\/11, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 542266*f + 542284*f - 1084552*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15906583 and 308?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*(t*t**3)\/t*t**(1\/7)*(t\/(t*t*t**(1\/7)*t))**(-50) assuming t is positive.\nAnswer: t**(779\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (24 + 3 - 4)*(4 + 17 - 8)*(-1 + 4 - 2)*(1 + f - 1) in the form b*f + a and give b.\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*s - 3 = -81 - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16173*f - 3345*f + 9429*f + 24623*f.\nAnswer: 46880*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 53333*a - 16106565. Give n(302).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 438 divided by -303.\nAnswer: -146\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2869549528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-3))\/((-16)\/(-168)). Let h = s + 8. Let i(m) = 7*m. List the prime factors of i(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -346 or 2\/7?\nAnswer: -346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2611 and 889?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*a - 1107 - 1402 = 1029 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*q - 13*q + 3*i + 29, 5*q = 2*i + 119. Suppose -5*s + q + 27 = 0. Calculate the remainder when 16 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v**3 - 655*v**2 - 60*v + 1. Let b(s) = 3*s**3 - 330*s**2 - 31*s + 1. Let u(z) = -5*b(z) + 2*t(z). Find the second derivative of u(x) wrt x.\nAnswer: -6*x + 680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 4378784?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 + -4 - (-10690 + 1). Let d = -7529 + a. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + w - 156 = 4*w, 300 = 4*h - 3*w. Suppose 0 = -q + 27 - 18. Let l(m) = -2*m**2 + 19*m. Let k be l(q). What is the greatest common factor of h and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 968 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j - 7. Let q(w) = 3*w + 5. Let o(t) = -5*a(t) - 7*q(t). Let r(h) = -h. Give o(r(l)).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74017.\nAnswer: 74017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 12. Let i = -2 - r. Let m = 168 + -169. Which is the closest to m? (a) -2 (b) i (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.2 - -1.8. Let v = -15 + f. Put 11, v, 1\/2 in ascending order.\nAnswer: 1\/2, v, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -235 (base 16) to base 7\nAnswer: -1435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 360 + 2349 = 3*i, -i - 2*x + 907 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40340 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 8 = -2*c. Let k(y) = 4*y**2 + 2*y - 3. List the prime factors of k(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/12)\/(1\/(-18)). Let d = c + -5. Solve -4 = 3*p - d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**2. Let y(j) = 7127*j. Give y(x(n)).\nAnswer: 21381*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127894524.\nAnswer: 2, 3, 29, 227, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 329 by 12.\nAnswer: 329\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6\/7, -1\/8, 1 in increasing order.\nAnswer: -6\/7, -1\/8, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*v - 3*a, -2*v - a = -0*v - 7. Suppose v*d - 760 = 1376. Let i = d - 374. Calculate the highest common divisor of i and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - w**2 - 2*w**2)*(0*w**3 - w**3 + 0*w**3) - 825*w**5 + 81*w**5 - 148*w**5.\nAnswer: -891*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 7 = 3*z - 14, 2*z + 5*v + 3 = 0. Suppose 69 - 197 = -4*y. Suppose -2*d + y = z*d. Calculate the greatest common factor of 12 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2565 = -4*n, -30*i + 18 = -32*i. Calculate the least common multiple of 34 and n.\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1099205519.98 - 0.3.\nAnswer: -1099205520.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143, 0.2, 2\/9.\nAnswer: 0.2, 2\/9, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*d - 14937 = -34*d + 258*d for d.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 902413 to the power of 1\/2, to the nearest integer?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23\/4? (a) 9041 (b) -1\/9 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 367097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 22110?\nAnswer: -22113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 - 20*t**2 - 19*t + 60. What is d(11)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 602 + -549. Let n(i) = -2*i - 4. What is the remainder when p is divided by n(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 15*i + 2*i + 8*i. Let y(d) = d. Determine y(u(p)).\nAnswer: 25*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 8 - 3 - 6*y + 8*y to the form l*y + s and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*g - 5772 = -273*g + 219*g for g.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2*l + 2*l)*(0*l**2 + 4*l**2 - 2*l**2 + (0 - 4 + 0)*(-3 - l**2 + 3) - 284*l**2 + 382*l**2 - 399*l**2).\nAnswer: -295*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4673 = -27*s + 17417. List the prime factors of s.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 - 25. Let t(o) = 3*o**4 - 6*o**2 - 4*o. Let x(r) = 6*r**4 - 13*r**2 - 9*r. Let y(p) = b*t(p) - 6*x(p). What is the second derivative of y(v) wrt v?\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12355454 and 7426?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 148368?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -23*x + 6 - 15*x - 8 - 2. Let h be t(-4). Suppose 3*s + 0*s - 5*a = h, -2*s - 2*a + 88 = 0. Calculate the remainder when s is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/4))**(-1\/2)\/(((l\/l**(3\/2))\/l)\/l**(-4)))\/(l**(2\/9)\/l**(-1\/3)*(l\/(l*((l*l**1*l)\/l*l)\/l))**43) assuming l is positive.\nAnswer: l**(5945\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37\/5 of a decade?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, r: 1, s: 3, j: 1, y: 3, k: 1}. Give prob of sequence jkr.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 73 + 73 = 0. Let r = 4 + 1. Solve 0 = -5*t - 3*w - 15, 15 = -x*t - 5*t - r*w for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -14*y + 1. Let x be r(1). Let p = -53 - x. Is (10\/8)\/((-2)\/p) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**2 + y**2 - y**2 in the form g*y + v*y**2 + w and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2203083.87 to the nearest 1000.\nAnswer: 2203000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -26118259557 from 0.3.\nAnswer: 26118259557.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k - 3. Let s(y) = -4*y - 2. Let n(v) = v + 1. Let f be n(2). Let m = 1742 - 1744. Determine f*s(g) + m*p(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/39193 or -1?\nAnswer: 6\/39193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(2\/3)\/x)\/x)\/(x\/(x\/x**(-2\/7))))**45)**(-2\/15) assuming x is positive.\nAnswer: x**(44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98266 - 59702 = -48*h. Does 51 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 19*u + 15. Let w be a(12). Determine j so that -105*j + w*j - 2 - 2 + 2*j**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/32*(9 - 1) - 203. Let k = -203 - l. Let u(w) = 2*w. What is u(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -9. Let k be 2 + -2 + 2 + -1. List the prime factors of k*(2 + y + 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 30 = -3*t. Let o(n) = 2*n**2 + n. Let z be o(t). Suppose -2*k - 62 = -3*y - 330, 0 = y + 4*k + z. What is y rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 8*k**2 + 9*k - 10. Let c be t(7). Differentiate 20 - 16 + 26*d**c + 38 + 22 wrt d.\nAnswer: 104*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 692543791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 2*q**2 + 4*q - 2. Suppose -l + 35 = 4*k, 3*l - 11 = -k + 2*l. Suppose -5*y + 2 + k = 0. Let c be w(y). Solve z = 4*z + c for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 2606684.\nAnswer: -1303342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 9*y**2 - 10*y - 16. Let o be f(-6). Let r = 69 + o. Solve -r*n + 12 = v, 4*v + 4 = 5*v + n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21214 is divided by 53.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v = 0. Suppose 0 = o - 2, 5*o = -3*j + o - 1. Let i be (1\/2)\/(j\/(-48)). Solve v*l + 3*d + 18 = -3*l, 0 = -3*l + 2*d - i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29.5 + -30. Let h = -0.04 + 3.54. Let y = d - h. What is the second smallest value in 0.5, -2\/9, y?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 3:26 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mf when two letters picked without replacement from {f: 2, q: 4, t: 1, m: 5, i: 2}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3\/2 + 2235*p**2\/2 - 210900*p + 1026750.\nAnswer: -3*(p - 370)**2*(p - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1366 to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 48952875 and 2998.\nAnswer: 48955873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 12:31 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -146.\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + l - 8 + 3 = 0, 3*v = 4*l - 11. Put -16, v, 3 in ascending order.\nAnswer: -16, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(1911) + sqrt(1911) + -1*sqrt(1911))*-4)\/((sqrt(3) - sqrt(33)\/(sqrt(44)\/sqrt(4))) + 1*sqrt(3)*-1) + -2)**2.\nAnswer: 336*sqrt(13) + 91732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m**2 + 1. Let n(i) = -i + 5. Let y be n(0). Suppose 3*c - 8*c + 95 = y*w, 4*c + 16 = 0. Calculate the remainder when w is divided by s(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.149 - 0.851. Sort -2\/5, h, -4, -1\/9 in decreasing order.\nAnswer: -1\/9, -2\/5, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of k**2\/2 - 3*k + 5. Let u(c) = c - 1. Calculate i(o) - 2*u(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-10\/9)*l*l*l*l\/((l*(l*((l*(l*l*l**5)\/l*l)\/l)\/l)\/l*l)\/l)*l**(-30)\/l**(-4\/3))**49 assuming l is positive.\nAnswer: l**(-14455\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2601 and 2737.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (195\/9)\/(230\/414)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304217 is divided by 106.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzjz. What is prob of sequence zz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**2\/5 - 2954244*n\/5 + 1090944701442\/5 = 0.\nAnswer: 738561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18136762, 36273526, 54410290?\nAnswer: 72547054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 18 = 3*q. Is q*54\/3 + 3 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -209\/4 - -52. Which is the nearest to -1? (a) -1.3 (b) j (c) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44812 - 44810. Let f(r) = -7*r - 1. Let i be f(-1). Let m = i - 2. Solve 5*p + 6 + 11 = m*q, 5*p + b*q - 1 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**2\/2 + 53013*z\/2 - 1729260 = 0. Calculate z.\nAnswer: -17736, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2, 1, -1, -4 in increasing order.\nAnswer: -10, -4, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.498 - -2.498. Which is bigger: 0.1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 8*q + 13. Let r be o(-9). Suppose -31 = 3*s - r. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 6. Let f be z(7). Suppose -7*t + 2*t - 5 = 0. Is t > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 14. Let l = 15 + m. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16077\/52 + 1241\/4. Solve 4\/13*l**4 + 4\/13*l + r*l**3 + 14\/13*l**2 + 0 = 0.\nAnswer: -2, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -5. Let p = 3 + s. What is the third smallest value in 5, p, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 140\/15 + 12\/18. Determine u, given that -p*u**3 - 3*u**4 - 215*u - 12 + 114*u + 15*u**2 + 110*u = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1150 and 37075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 425675618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -7. Let x be (-10)\/y*(-6)\/20. Let g = 1.18 + -0.18. Which is the closest to 0.2? (a) -5 (b) g (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**1*f\/((f**37*f)\/f)*f)\/(f**12*f*f**(-40)*f))**(-4\/19) assuming f is positive.\nAnswer: f**(32\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 15*j - j**3 - 8*j**2 + j**2 - 6*j + 8. Let m be v(-8). What is the smallest value in m, -0.5, 2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 269 = 11*h + 212. Let g(q) be the third derivative of 5\/18*q**h + 0*q**6 + 0 - 6*q**2 + 0*q + 1\/126*q**7 + 0*q**4 - 1\/18*q**5. Factor g(f).\nAnswer: 5*(f - 1)**2*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (326 - 332) + (-6 - -1) + 2 - -13.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 0.1 (c) -0.01 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 11:57 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -7301247.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219363296 is divided by 5850.\nAnswer: 5846","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j = -4*r + 76, -3*r - 2889438*j + 78 = -2889441*j for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -1 - 1 - n - 4 - 3. List the prime factors of x(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2463957933 and -6.\nAnswer: -2463957939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(637)*-2 + (sqrt(637) + sqrt(637) + 2 - sqrt(637))*1)*4 + 4*(sqrt(637) + sqrt(637) + (sqrt(637) + -1)*-6 + sqrt(637)) + -3)**2.\nAnswer: -22736*sqrt(13) + 1998473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22.5164 - 6.2008. Let u = 0.0172 + w. Let p = u - -28.917. Round p to two dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 divided by 110.\nAnswer: 42\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**6\/12 + 13*c**3\/6 + 8*c**2 - 7. Let y(v) be the second derivative of t(v). Find the first derivative of y(d) wrt d.\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33206.65632 rounded to 0 decimal places?\nAnswer: -33207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -644, -663, -696, -749, -828?\n\"Answer: -d**3 - d**2 - 9*d - 633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**2 + 212497020*t + 2257749175444020 = 0. Calculate t.\nAnswer: -21249702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1383*r = -1393*r. Let y be 4 + -4 + (-1)\/1. Let o be (y\/(-6))\/(1\/8). Is o != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1521\/(-44109))\/(9\/(-36)*4\/(-5))\nAnswer: -5\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2.6+1075\nAnswer: 1072.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -26 - -12813?\nAnswer: 12787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9837 = -14*c + 5*c. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -552 at most -551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z + 52. Let s be y(-10). Suppose -6*o = -4*b - 2*o + 820, -b = -s*o - 208. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -10*s. Let n(q) = 5 - 7*q - 10 + 5. What is n(b(u))?\nAnswer: 70*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -312091230 by -6.\nAnswer: 52015205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*t + 13, -4*t + 3*t = -5*n + 29. Suppose m + 3*x - 10 - 10 = 0, -4*x = -n*m + 5. Let w(l) = -l**2 + 8*l - 7. What is the units digit of w(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1465 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356*t**2 + 1 - 362*t**2 + 1445*t**2 - 365*t**2 - 364*t**2 - 1.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i*(i*i**0*i*i)\/i*i)**(15\/8))**(-36))**(-3) assuming i is positive.\nAnswer: i**1215","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 69031 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -1, 2, 2\/7, 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.17839 - 0.\nAnswer: -0.17839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 17. Let g be 18\/8 - v - -1. Let r be 2072\/1568 + (-3)\/4. Which is smaller: g or r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -65*q - 921. What is f(-13)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*t - 28. Let x(n) be the first derivative of 0*n - 1\/2*n**4 - 1\/6*n**t + 0*n**2 - 3. Factor x(m).\nAnswer: -m**2*(4*m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -3562b?\nAnswer: -3562b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.6 + -3.8. What is the nearest to 6 in y, -3, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -5*g**3 - 257970*g**2 - 3610665*g - 3352700 = 0?\nAnswer: -51580, -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/8 - 12*h - 279\/8.\nAnswer: -(h + 3)*(h + 93)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10062 or 10061?\nAnswer: 10061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1088\/24*(187\/7854)\/((-1)\/9)?\nAnswer: -68\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 16*f**2 - 17*f - 17. What is i(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 42 - 18. Suppose 3*t - z = -4*m, -2*m = 3*m + t - 5. What is the second derivative of -i**5 - 4*i + m*i + 5*i wrt i?\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c + 159 - 49 = 0. Suppose c*l - 2888 = -4*x, 3*l + l - x - 2323 = 0. List the prime factors of l.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33 - 44 - 10*p + 64)*(-p + p - 2*p) as m*p**2 + s + f*p and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzaeazze. What is prob of sequence eez?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01059 rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 5*x - 2*l + 8, 2*l = -4*x + 16. Suppose 17*q - 15*q = 18. Suppose -x*t - 1 = -q. Solve 3 = w - t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 8*l - 9. Let i be r(6). Suppose 49*s - 225 = 216. Is 3 a factor of (s\/(-6))\/(i\/(-36))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {k: 1, p: 1, r: 4, x: 2, w: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -94028*l**4 + 80192 wrt l?\nAnswer: -376112*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, 4, 3 in ascending order.\nAnswer: 3, 4, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 7*g - 6*g)*(3 + 2 - 3 + (0 - 1 + 2)*(3 + 0 - 2)).\nAnswer: -30*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f + 2. Let w(m) = m + 4. Let j be w(4). Let z(r) = -16 + j + 9. Determine d(k) - 2*z(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2992 + -98.\nAnswer: -3090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/16*(-3800)\/(-3705)?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7}. What is prob of picking 2 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a decade in years?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.027 - -69.\nAnswer: 68.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 2, -4, -2, 7 in ascending order.\nAnswer: -4, -2, 2, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 0 + z**2 - 3 + 0. Let k be n(-2). Let h(v) = -v**3 + 7*v**2 + 2*v - 5. Is h(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/7200 and 173\/39600?\nAnswer: 79200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-705)\/(-40) - 9\/(-24). Does 10 divide (-240)\/w*(30\/(-4))\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 3)*(0 - 5 + 2 + j + 3*j - 7*j - j + j - 2*j + 2*j - 2*j - 2 + 2 + (-6 + 1 + 4)*(2*j - 1 + 1) + (-5 + 2 + 4)*(-j - 4*j + 6*j)).\nAnswer: 30*j + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 106 = -2*f + 1567, 0 = 3*h + f - 1458. Suppose -5*i + h = t, i + 257 = 5*t - 2142. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -5, 0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-153)\/4590)\/((-19)\/5).\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 617*t - 516*t = 4139182. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 42 = 47 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y + 0*y - 2508 = 0. Calculate the remainder when 559 is divided by y.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 279 - 274. Solve -4*o - o - 3*f = -37, r*f - 15 = o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24794 divided by -77.\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 4*m - 2. Let l be t(-4). Let x be 26\/l + (2 - 1). Let f = x + 21. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2840712 and 3774.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7047 is divided by 1046?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/12*36\/(-666).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p - 2*p - 4*p + (-3*p + 5*p + 2*p)*(-5 + 1 - 1) - p - p - p to x*p + d and give x.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (153 - 145) + (7 - (2 - -6))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 15. Calculate the highest common factor of t and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v = -16*v - 66. Suppose -2*o - 22 = -4*o. Suppose -3*q + o + 112 = 0. Calculate the remainder when q is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -753312 divided by -456?\nAnswer: 1652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 55\/(-10)*(-8)\/2. Suppose 0 = 3*w - 29 - f. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 536, 1071, 1608, 2147?\n\"Answer: z**2 + 532*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 3, -2*f = f - 5*v - 10. Let j = 0.7 - 4.7. Which is the closest to 2\/13? (a) j (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (-276)\/16*6496\/336. Factor 25*s**3 + 600*s - 288 - 1\/2*s**4 - q*s**2.\nAnswer: -(s - 24)**2*(s - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 840434?\nAnswer: 336173.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/237 and 44\/922969.\nAnswer: 218743653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2, 3, 0.1, -58?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h\/h**(-3\/5)*h*h*h*(h\/(h\/(h\/(h\/(h\/(h\/(h\/(h\/(h\/(h*h*h**(-1\/5))*h))))*h))))*h*h)\/h)**(-48)*(h**1\/h)**48*(h*h**1*h)**(10\/7) assuming h is positive.\nAnswer: h**(-14634\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-96)\/10 + 0 + 2\/(-5). Let f(t) = -5768*t**3 + 19*t**2 + 91*t + 10. Let n be f(r). Round n to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*j = 6*i - 95, 3*j = 15. Suppose 7*r - 2*r - k - i = 0, 4*k + 8 = -4*r. What is the third smallest value in r, 0.3, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 1\/3*c**3 + 0 + 0*c - 2*c**2 + 1\/6*c**4 - 1\/30*c**5 + 1\/360*c**6. Let r(y) be the first derivative of q(y). Factor r(z).\nAnswer: (z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*g + 54 = -226*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 337 - 334. Suppose 2*k + 0*r = -3*r + 7279, b*r = 4*k - 14567. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 7:03 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21075 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -552 divided by -46.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-4*sqrt(1539)*3*-3 + -3)*-1 + 4))**2.\nAnswer: -40824*sqrt(19) + 17951337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16704?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -w + 18, -3*w + 0*s - 2*s = -22. Calculate the greatest common factor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174977, 174980, 174981, 174980, 174977, 174972, 174965?\nAnswer: 174956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36? (a) -4 (b) 2\/27 (c) 117 (d) 1\/5 (e) 5 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2.8 (b) -6765451 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -5. Let c be 7\/28 - 33\/(-12). What is the second biggest value in i, 0.4, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11007 is divided by 46?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = b - 320. Suppose -4*c = -6*c + b. Suppose j - 20 = x, -2*j - c = -7*j + x. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165949 and 755.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -85, -90, -95?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 7:03 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 377 + -259. Let n = g - 114. Solve -5*s = -n*s + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 20 = 2*g, -3*w - 5*g = w - 32. Suppose 2*s - 3*b = -53, 2*b - 44 = 3*s + 38. Let a be -2 + w + s\/24. Put a, 3, 12 in increasing order.\nAnswer: a, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -8 (c) 4\/3 (d) 0.049 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7\/4, -5, -1\/287.\nAnswer: -5, -4, -1\/287, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1126\/5 or 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 + 7 + -143 + 174?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 13673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*sqrt(325) + -2 + 3*(1*sqrt(325))**2).\nAnswer: -3892 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p - 175 - 112. Let u = -37 - p. Let s = -10 + 5. What is the second biggest value in s, u, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**3\/3 + 22894*a**2\/3 + 1542256*a\/3 + 2379560 = 0.\nAnswer: -62, -5, 11514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 o, and 1 w when four letters picked without replacement from {o: 1, k: 6, w: 4}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -130 + -277380?\nAnswer: -277520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p. Let m(x) = -7*x**2 + 2*x + 2. Let c(a) = -23*a**2 + 7*a + 7. Suppose 29*f = 34*f - 105. Let s(i) = f*m(i) - 6*c(i). Calculate w(s(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.9 - 11.1. What is the nearest to -3 in -4, f, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -3204324.\nAnswer: 5\/3204324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -255202.27 to the nearest 10000.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (286\/8 + 2)*(2 + 2).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 48*o - 6. Let r be n(-13). What is r rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 17*a + 5. What is z(17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 7) in base 2?\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -16. What is the biggest value in h, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 130 + -7?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.94 + 53.035. Let v = -23 + -18. Let o = v + q. What is o rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5199576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 55.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 5*f**2 - 3*f - 4. Suppose 0 = 5*g - b + 5, g = 3*g + 5*b - 25. Suppose -4*c + g*c + 16 = 0. Let q be r(c). Solve -3*y + q = -9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50729 at most as big as 202921\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 82*x**2 + 4*x + 3. Let t be y(-1). Let d = -87 + t. Let l be (3 - (-15)\/d)*4\/8. Which is the nearest to -2\/3? (a) l (b) -2\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/23 (b) 7.8 (c) 9 (d) 78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1905 + -1898. Solve -17 - s = -8*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1915, -2931, -3923, -4879, -5787, -6635?\n\"Answer: 2*v**3 - 1030*v - 887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -189 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*x - 348 - 26 = 5*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2870 and -9.3.\nAnswer: 2860.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -790, -1582, -2374, -3166?\nAnswer: -3958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2382*z**2 + 1182*z**2 + 1 + 941*z**2.\nAnswer: 4505*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.9 and -23659391.\nAnswer: -23659392.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -3) + (0 - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 956*l**2 + 76*l**3 - 345*l + 176*l - 16*l**5 + 169*l - 6*l**5 wrt l?\nAnswer: -1320*l**2 + 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6577*i - 5968*i - 10962 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26\/51, 2, -2\/9, 1\/565, -1\/4 in ascending order.\nAnswer: -1\/4, -2\/9, 1\/565, 26\/51, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -366301 + 3296711\/9. Let i = 0 - -0.2. Sort 45, a, i in decreasing order.\nAnswer: 45, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z**4 + 826988*z**3 + 5 + 2*z**2 - 113*z - 2 - 826989*z**3 - 4 to the form a*z**4 + j*z**3 + t*z**2 + i*z + q and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -116*c**2 - 6*c + 13. Let i(z) = -133*z**2 - 7*z + 14. Determine -5*i(s) + 6*r(s).\nAnswer: -31*s**2 - s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 307161.67 * -1\nAnswer: -307161.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1702989.56 take away 0.53?\nAnswer: -1702990.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*u - 1549*u - 44781 = -375*u + 24409 for u.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**5\/60 + 2*s**4\/3 - 26*s**3\/3 - 63*s**2. Let m be y(11). Solve -m*g - 3*n + 3 = -0*g, 4*g - 1 = -n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qt when two letters picked without replacement from {q: 7, t: 5}.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*z + 15 - 15)*(2*z - 2*z - 2*z**2) as q + j*z**2 + m*z**3 + y*z and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 + 0*w**3 + 0*w**3 + 0 + 2*w**4 + 0 - 3*w**4 + 6*w**4 - 2*w**4 + (w + w - w)*(0*w + 0*w + w**3) + 2*w**4 + 1 - 1.\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 6*v**2 + 32*v - 15. What is the tens digit of s(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 29*o**2 - o - 6. What is x(-29)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 15*a = 19*a - 8, a = 4*b + 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 30*j - 19. What is x(30)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 209196 a multiple of 786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32.7 and -5.8.\nAnswer: 189.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddcc when four letters picked without replacement from cisudcrrsscrruccrrd?\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-3))\/(2\/18). Let n = 104 - 99. Suppose -2*p = -3*m - 0*m - 46, v*p = -n*m + 69. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/8 - 27\/36. Suppose s - 5*s - 36 = 0. Let w = v - s. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4*((-3826)\/1)\/(38\/(-4) - -10).\nAnswer: 2, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 8 = 2. Solve k - 5 = 0, 4*d - p - 5 = k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24.39 + 24.31. Which is the nearest to -1? (a) p (b) 0.2 (c) -0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 - (100 + -99) - -21\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 502966608.\nAnswer: 2514833040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1064*u - 96 = -1080*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 666463\/60 + -11108. Find the common denominator of (-80)\/(-36) + -2 + (-50)\/96 and q.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 684.1994l in millilitres?\nAnswer: 684199.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20071, 19878, 19707, 19570, 19479?\nAnswer: 19446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.5, 0.3, -2.26382?\nAnswer: -2.26382","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - (16\/72 - (-50)\/18). Solve 2*t - d*t - 2 = y, -3*t + 1 = -4*y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 + 2.02. Let k = -35 - -34.81. Let j be 0 + (29\/(-5) + 6)*3. Put w, k, j in increasing order.\nAnswer: k, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12131057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1758, -3489, -5196, -6867, -8490, -10053, -11544, -12951?\nAnswer: -14262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bi when two letters picked without replacement from {b: 4, j: 5, z: 6, i: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 303.671097 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 5*u**2 + 29*u - 89. Let b be m(4). Solve b*k + 32 + 1 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, -3, -1.95?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 1001044?\nAnswer: -1001045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i + 3*i**3 - i)*(-i - 2*i + i) + 84 - 37 - 47 + 180*i**4 to n*i + f + t*i**3 + g*i**2 + x*i**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 219041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -833a38 (base 11) in base 13?\nAnswer: -37aa85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -188, -12, 1\/132, -4 in decreasing order.\nAnswer: 1\/132, -1, -4, -12, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 43\nAnswer: -5\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1348 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - (sqrt(77) - sqrt(77)*2)) + sqrt(77))*5)\/sqrt(11).\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 2\/13, -134\/5, -1 in descending order.\nAnswer: 2, 2\/13, -1, -3, -134\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 16) in base 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**5 - 5*h**5 + 5*h**5)*(3 + 2 - 3) - 1168*h**2 - h + 62*h**5 + 4*h + 1169*h**2.\nAnswer: 58*h**5 + h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/t**45)*t\/t**(-2\/7) assuming t is positive.\nAnswer: t**(324\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/15*5*-1. Let d(f) = -29*f - 263. Let p be d(-9). Sort 5, p, j in descending order.\nAnswer: 5, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 13 = 2*n - 21, 2*n + 20 = -4*f. Let w be 30\/(-9)*(0 + f). Solve w = -2*g + 6*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 7:58 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-6) + 1)\/((-21)\/2100*-25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2670663283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25891, -51667, -77443, -103219, -128995, -154771?\nAnswer: -180547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 5792\/3*j + 4\/3*j**3 - 5788\/3*j**2.\nAnswer: 4*j*(j - 1448)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-3)*3 - -2) + 3. Suppose -c = -w + 2, 3*y + 2*c - 16 = 0. What is the third derivative of -25*a**2 + 27*a**5 + 5*a**5 + y*a**5 wrt a?\nAnswer: 2160*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/3*18\/(-5). Suppose -7*a + l*a + 65 = 0. Let x = 200 - a. What is the greatest common divisor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 13*k - 1. Determine c(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/7 - 213*g\/7 - 430\/7.\nAnswer: (g - 215)*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5*sqrt(112)*-1 - (0 + sqrt(112))*-1) - -5*((sqrt(112) + sqrt(112) + (sqrt(112) - sqrt(112)*-1) + 0)*3)**2) + -3.\nAnswer: -96*sqrt(7) + 80637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4704 divided by -7.\nAnswer: -672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**3 - 5. Let z(s) = -15*s**3 - 24. Let t(d) = 24*l(d) - 5*z(d). Let x = -3230 + 3231. Calculate t(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7108 - -19982. List the prime factors of c.\nAnswer: 2, 41, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -48992*f + 1420770. Give g(29).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/(-40)*6\/21?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a factor of 105627171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179554194 divided by -29925699.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2909 + -17303\/6. Find the common denominator of j and ((-22)\/(-70)*-3)\/(970\/(-679)).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1448252467 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2165?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 2:19 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 14 = 2*x, -3*n + 17*x = 9 + 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9.051, -1\/2, -8, 2\/15, 1\/4?\nAnswer: 9.051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**5\/9 + 46*w**4\/9 - 82*w**3\/9 - 46*w**2\/9 + 28*w\/3 = 0.\nAnswer: -1, 0, 1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1691*j**3 + 348*j**3 - 2282*j**3 + 1909*j**3.\nAnswer: 1666*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 10*z**7 - 710*z**3\/3 + 571. What is the third derivative of f(k) wrt k?\nAnswer: 8400*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from bmmmbmbbbbbmm?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3935 + -0.05?\nAnswer: 3934.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70612, 70617, 70626, 70639, 70656?\nAnswer: 70677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, 2\/9, 1, 0.328?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**2 + 0*d**2 - 5*d**2 - d**2. Let h(l) = -l. Let n be h(-1). Let j(c) = -c. Let o(i) = 4*i. Let t(f) = n*o(f) + 6*j(f). Determine t(w(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3540\/13 + -24767\/91. What is the smallest value in 0.4, 2\/13, b, 2\/7, 53?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 at least as big as 241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 21, 5, 101, -1.\nAnswer: -4, -1, 5, 21, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*v**2 - 325*v**2 - 305*v**2.\nAnswer: -596*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60055 by -12011.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120201 + -22021012?\nAnswer: -20200111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89317564 is divided by 38?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*f - 38*f + 52 + 4*f + 8*f + 2*f**2 + 8*f as n*f + b + c*f**2 and give b.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 656 = -24. Let z = b - -63. Calculate the remainder when z is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 324280057 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 23. What is the third derivative of -17*z**w - 12*z**2 + 7*z**2 - 11*z**2 wrt z?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*v**4 + 16135*v**3*y + 2*v**2*y + 17110*y + 5 wrt v?\nAnswer: 288*v + 96810*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.67 + -41.67. Let m = z + 42. Which is the nearest to 1\/3? (a) 0.2 (b) m (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**11\/(y\/y**(-1\/3)))**(2\/65))**50 assuming y is positive.\nAnswer: y**(580\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.1 (b) 1 (c) 3 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -14*d + 15*d, 3*d - 5*b = 0. Factor -2\/3*x**2 - 2\/3*x + d.\nAnswer: -2*x*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 3*r + 2. Let c be l(3). Suppose -v = -2*p - 9, 3 = c*v - 3*p - 17. Suppose -1 + v = 4*q. Sort q, 2\/7, -5.\nAnswer: -5, 2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/25*(-4)\/(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 449672966 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/21 (b) -3\/25 (c) -0.1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -1.7, -3077\/2, -0.4.\nAnswer: -3077\/2, -5, -1.7, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.9 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -18*b**2 - 12*b + 12. Let q be 5\/((-5)\/(-2 + -3)). Let m(l) = -5 + 4*l - 7*l**2 + 20*l**2 + l - 6*l**2. Give q*u(o) + 12*m(o).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -324 + 328. Solve 3*c = -2*g - z + 3, 5*c = -2*g + 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23287861 and 7101.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x + 20*x**2 + 10 - 8 - 2*x.\nAnswer: 20*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-53 - -54)*(0 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(143) - (sqrt(143) + -2*sqrt(143) + sqrt(143))))\/(sqrt(99)\/(sqrt(9)*-1)))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -20, 2*m + 3*m = -5*a. Suppose -2*n - f - 1 = -a, n = 4*f - 16. Solve n*l - 3*l = -12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 139742201?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(114) - (sqrt(114) + sqrt(114)*-2) - sqrt(114))\/sqrt(6) + -5 + (-2 + sqrt(171))**2 + 4).\nAnswer: -174 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 252*v**5 - 251*v**5 - 192*v**4 - 16*v**4 + (3*v**2 - 6 + 6)*(-v**3 - v**3 + 0*v**3) - v**5 + 0*v**5 + 0*v**5.\nAnswer: -6*v**5 - 208*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/10 + (-32)\/(-5). Suppose n*x - 84 = 2*x. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9713040?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a - 2. Let m be u(5). Let j = 10 - -6. Suppose -2*c - 4*r - 19 = -7*c, 4*c - j = 4*r. Solve -2*v + m + c = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**3\/2 - 750143*g**2\/2 + 140680505451*g\/2 - 703383773805\/2 = 0.\nAnswer: 5, 375069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 204\/(-20) - -4 - 24630\/(-4926)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohhhdhhdohhhh. Give prob of sequence dho.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/(161\/(-11270)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -64.28?\nAnswer: 64.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -3*u - 6. Let l = -13 + u. Suppose -5*h = -0*h - 3*f - 11503, -9195 = -4*h - l*f. What is h rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven sixths of a minute?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 50*p - 585. What is x(-32)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 799885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*t**3 + 564*t**2 + 1975*t - 54039347?\nAnswer: 12*t**2 + 1128*t + 1975","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 26 = -5*v + 4*m, 4*m - 46 = 3*v. Let p = v - -127\/7. Let h = 23328 + -23328. Which is the smallest value? (a) h (b) p (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 - 15*l**2 + 7*l + 1. What is x(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.6 + -1.7. What is the nearest to -1\/3 in -1\/3, w, -2\/17?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 620*l = 615*l + 180. Suppose -2868 = -3*w - 3*y, 5*w = -l*y + 35*y + 4764. List the prime factors of w.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/7 of a week in days?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-93633)\/12762 + -13 + 20 + (-3)\/(-9). Which is greater: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -131*o**4 + 3*o**3 - o**2 - 415 wrt o?\nAnswer: -3144*o + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*90\/(-27)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -16*q - 1. Let r = 128 - 71. Calculate the remainder when r is divided by s(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**4\/12 + 5*f**3\/2 + 45*f**2\/2 - 4*f - 6. Calculate the smallest common multiple of c(-3) and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.5 - 5.6. Let l(z) = -2*z**2 - 4*z + 5. Let m be l(-4). Let c be (0\/(-2))\/(m + 13). What is the closest to 0.1 in c, y, -0.05?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -701 + 706. What is the third biggest value in 1, 0.4, t, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1812*x + 3642*x - 1826*x + y + 18, -x + 3*y + 15 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -111 + 239. What is the smallest common multiple of 20 and c?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**2 - 7*r + 3. Let s(i) = -4*i**2 + 8*i - 3. Let m(u) = 4*s(u) + 6*v(u). Let b be m(6). Calculate the greatest common factor of 180 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 7) + (2 - 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 167 or 165?\nAnswer: 167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**3 + 78788*b**2 - 7967689*b + 7888900 = 0.\nAnswer: -78889, 1, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**3 + 3*d**3 - 3*d**3 - 2 + 2 - d**3 - 525*d**2 + 525*d**2 - 40*d**3 + (-20*d + 2*d**3 + 20*d)*(-1 + 1 + 2).\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r**4 - 2584*r**3 + 23184*r**2 - 22944*r - 26368 = 0. What is r?\nAnswer: -2\/3, 2, 8, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 7 + 13*p**3 - 11*p**3 - 2 - 5*p**2 + 0*p**2. What is the tens digit of q(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 614603 by 10417.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542344590.\nAnswer: 2, 3, 5, 509, 11839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 1. Suppose 4*q + 0 - 4 = 0. Let a(k) be the first derivative of k**2\/2 - 21. Give q*a(j) + 2*p(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 5:19 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62468 and 54999.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25865977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * -2.34\nAnswer: -1.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85 by 60.\nAnswer: -17\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 4 = -5*l. Suppose 60 = -3*f - l*f. What is the lowest common multiple of 1\/((-4)\/f) + 19 and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-5)*(-1 - 1215). Suppose 2*o - 4*n = -w, n - 117 = -2*o - 1313. Round o to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112*j**4*t**3 - 2*j**4 - 6*j**2*t**3 - j*t**2 - 3*t**3 wrt j?\nAnswer: -2688*j*t**3 - 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.136 - -29.864. Let x = 28 - z. What is the nearest to 0 in -38, x, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 187327*m + 3372214. Give r(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2119.\nAnswer: 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, x: 1, h: 1, j: 3, z: 2, o: 1}. What is prob of sequence zh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 0.1 (c) 5 (d) -54 (e) -55\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 217.323?\nAnswer: -86.9292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.87 (b) -4 (c) -7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -84 or -169\/2?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-105))\/((-2)\/(-10)*-1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/3 (b) 2.2 (c) -0.1 (d) 13090\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(76) + sqrt(76)*-4))\/(sqrt(400)*2).\nAnswer: -3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/74 (b) 5 (c) -2 (d) 3\/8 (e) -1212\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10761, -37852, -83239, -146916, -228877?\nAnswer: -329116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6374280*s**4 - 17*s**2 + s + 328336501.\nAnswer: -76491360*s**2 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -76\/137 (b) 1\/2 (c) 4342\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -108, 1\/10, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/34, -0.5, -1\/4, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - q + 1. Let t(p) be the first derivative of -p**3 + p**2 + 2*p - 3. Let m(f) = 2*b(f) - t(f). What is the second derivative of m(r) wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.12 - 0.11. Let c = 11 + -16. Put f, c, -0.2 in increasing order.\nAnswer: c, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (-3)\/(3\/1). Let p be (-33)\/(-27) - q - 1. Is 1 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 1 = -2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 10, v: 2}. Give prob of sequence dvd.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l + 19. Calculate the remainder when x(9) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 8*a**2 - a - 14. Let p be h(-8). Let b(i) = -2*i**2 - 11*i + 13. Let g be b(p). Suppose -g*r - 4*r + 44 = 0. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*i - 7972074 - 2687997. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 205117346 to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (7 + 2 + -7 + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1006.2 (b) -2 (c) -2\/21 (d) -0.0335\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 493 = -101*l, 19*l = 16*l - 3*a - 51 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i**3 - 86*i**2 + 54*i + 795. What is the hundreds digit of k(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (-11 + (1 - -3)). Suppose -3*c + r = -37. What is the highest common divisor of 90 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*w - 728 = -132*w - 144*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -272 + 275. What is the third derivative of -109*j**5 + 93*j**2 - 88*j**4 - 2*j**s - 22*j**2 + 88*j**4 wrt j?\nAnswer: -6540*j**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 16. Which is smaller: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-6) + (-2130)\/180. List the prime factors of -45*(t\/(-9))\/(-2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 110*r**2 - 3*r. What is the tens digit of p(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**3 - 1980785*m**2 + 9903680*m + 47538240 = 0. Calculate m.\nAnswer: -3, 8, 396152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315 = -56*w + 11*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 102, 5 in decreasing order.\nAnswer: 102, 5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 2:58 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -457 + 189*p**2 + 457 as z*p + w + n*p**2 and give n.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 - 75. Sort 5, -3, i in ascending order.\nAnswer: -3, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32777764 is divided by 38?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -375*v**2 + 3695*v - 1165. Let y(d) = 17*d**2 - 168*d + 53. Let f(r) = -2*h(r) - 45*y(r). Find m such that f(m) = 0.\nAnswer: 1\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -5467\nAnswer: -3\/5467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11488837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*g**2 - 2*g**2 + 5*g**2)*(2 - 2*g - 2) - g**3 + g - 1 + 1 to h*g**2 + o + q*g**3 + a*g and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 165198629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9660\/92)\/(-105)*(-2)\/(-61)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -1577?\nAnswer: 1576.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - j + j)*(-1 + 2*j**2 + 1 + (2 - 2*j - 2)*(0*j + 5*j - 2*j)).\nAnswer: -12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 701605 divided by -5?\nAnswer: -140321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -192 divided by -6?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 3*q**2 + 2*q**2 + 44 - 37.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/689 and -33\/4028.\nAnswer: 52364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.07 - 0.0700075. Round r to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 4*b**2 + 10*b - 44. Give i(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(147) - (sqrt(147) + -1)*6)*-2 - (4 + sqrt(147) + 0 + 2)) + 0)**2.\nAnswer: -2268*sqrt(3) + 12231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -14*d**4\/3 - 1507934*d**3 - 365439672814*d**2\/3 + 156619064510*d - 34804332300 = 0.\nAnswer: -161565, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18267 - -18303. Solve u = -0*p + 9*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/12)\/((-140)\/(-80)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 57.77489?\nAnswer: 58.07489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*o - 6045 = 0, n - 17*o - 2007 = -18*o. What are the prime factors of n?\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 62 = -190. What is the remainder when 107 is divided by g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -685*o + 2004*o - 701*o - 694*o.\nAnswer: -76*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13220132477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - sqrt(130)*2)*-1)\/(sqrt(10) + sqrt(50)\/sqrt(5)*6 - sqrt(10)).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 691888 = 90986. Let o = w - -447014. Suppose -103*i - o = -105*i. Round i to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -334438 < -334438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 2*z - 41 = 0, -5*o + 71 = 563*z - 566*z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 126? (a) -1\/7 (b) 1 (c) -2 (d) 2 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -136 + 254. Let p = f - 84. Let x = -33.9999803 + p. Round x to 6 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3500\/6 + (-2)\/6. Suppose -o = 2*d + 2915. Let x be d\/(-15) + 4\/10. What is the highest common divisor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 240 = 2*l, -6*l - 8 = -10*l. List the prime factors of q.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.32 (b) -17 (c) -4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*s**2 + 4*s + 5*s + 97*s**2 - 8*s to the form n*s + d*s**2 + q and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1 = k + 13, k = 2*d - 9. Suppose -d*i + 16 = -4. Let n = 1266 + -1250. What is the closest to n in 5, 0, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7288*y**5 - 3*y**2 + 19*y - 18.\nAnswer: 437280*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97363.\nAnswer: 7, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -51662 (b) 0.2 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -270*d - 281*d**2 + 10 - 53*d**2 - 9 + 270*d in the form q + a*d**2 + y*d and give a.\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1031 - 976. What is the remainder when r is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlz when three letters picked without replacement from {l: 3, w: 4, z: 6, s: 1}?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.172 - 0.072. Let x = 1083\/7 + -155. Sort -5, x, v in decreasing order.\nAnswer: v, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 8 = 2*m, 2*m - 3361*q + 3357*q + 8 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 4*g + 11. Let u be d(-6). Let o be -4 + u + 4 + 3. What are the prime factors of -1*(-65)\/o*2?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79 by 148504.\nAnswer: -79\/148504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u\/(u**1*u*u)))\/((u**(2\/3)*u*u)\/u))\/((u\/(u*u**(1\/5))*u)\/(u*(u\/(u*u*u**(-4\/7)*u)*u)\/u)) assuming u is positive.\nAnswer: u**(116\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 2*i**5\/15 - 13*i**3\/3 - 13*i**2\/2 - 37*i. Let f(a) be the first derivative of d(a). Differentiate f(x) wrt x.\nAnswer: 16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 509*d**2 + 0 - 1471*d**2.\nAnswer: -962*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(832) + 1) + (1 + sqrt(832) - sqrt(832))*6)**2 + -3.\nAnswer: -144*sqrt(13) + 7494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1674\/(-31)*2\/(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3582 and 0.03?\nAnswer: -107.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v**3 + 2*v**2 - 3*v + 2. Let w(s) = s**3 - s**2 + s - 1. Let x(t) = o(t) + 3*w(t). What is x(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015889516 rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*(6*o**2 - 4*o**2 - o**2) + (-1 + 1 - 2*o**2)*(1 + 3 - 3) + 6*o**2 + 3*o**2 - 2*o**2.\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 10*f - 14. What are the prime factors of g(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 822 and 274.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 293, 112, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - 3)*(-7)\/(-28).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56652*i - 762 - 56652*i - 3*i**2.\nAnswer: -3*i**2 - 762","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 169, 5, -1 in descending order.\nAnswer: 169, 5, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - c = 5*p - 16, -3631*p + 3637*p = -5*c + 44 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbcccbcbwcwbwc. What is prob of sequence cww?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 6*i**2 + 15*i - 48. Give x(6).\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*p + 7 = 0, -m + 6*m = 5*p - 135. Let w be (-9)\/(-3) + m\/10. Let t = 12 - 11.7. Which is the third smallest value? (a) 1\/3 (b) t (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i + 48 = -21*i. Suppose -i*w = -12*w - 36. Solve w*s + 6 = 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 498, 932, 1366?\nAnswer: 1800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -9*u**2 + 5*u - 9. Let x(t) = 4*t**2 - 2*t + 4. Let c(m) = -6*r(m) - 13*x(m). Factor c(y).\nAnswer: 2*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51638*f + 54219*f - 105869*f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -28*h - 1. What is j(1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 13*n**2 - 15*n - 43. Determine k(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 8*a + 39*a + 5 - 1.\nAnswer: 47*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 + -58 - -71) + -38?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170283.\nAnswer: 3, 31, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 55\/(-45)*-3 + 6\/(-9). Suppose 20*j + 30940 = y*j. What is j rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (63\/(-2))\/((-61)\/244) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 272 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 138063, 138064, 138065?\n\"Answer: b + 138062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/20732 and 59\/27548.\nAnswer: 2011004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1*-0.099774\nAnswer: 0.099774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 245 = -4*v. Suppose 3*h = 40 + v. Let t = h - 18. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 346 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192415, -769677, -1731771, -3078691, -4810431?\nAnswer: -6926985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/9 and ((-5)\/(-1295))\/((-18695)\/3745 + 5)?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -40*j - 16. Let v(z) = 13*z + 5. Calculate -5*d(n) - 16*v(n).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 4*j - 32. Let x be (-8)\/j + 1\/2. Solve 5*y = 6 - x for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4 - l - l**2 + 4 + 0*l**2 + 1. Let j be w(2). Let h = j + 13. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (44\/(-275)*10)\/((-2)\/20) and 24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 22. What is the greatest common divisor of q and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 73822 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.12 + 0.38. Let o = 1.8 - -0.2. What is the nearest to 0 in 1, v, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 5:37 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 10:06 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -16451?\nAnswer: -16455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/((-424)\/265))\/((-5)\/(-19))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-4))\/(2\/((-2)\/1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3317 and 1070.\nAnswer: 33170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0561 and -18.8?\nAnswer: -1.05468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1919 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: Let o = -4.049 - -0.049. Let f be (-13)\/28 + (-4)\/14. What is the nearest to 0.1 in o, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.031 - -0.031. Which is the closest to 0.5? (a) -5 (b) w (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1888, 3778, 5666, 7552, 9436?\nAnswer: 11318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -710876*i - 304635.\nAnswer: -710876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 593792*0.2\nAnswer: 118758.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 105 + -97. Calculate the highest common divisor of o and 200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 7*y - 6 = 0. Let u be 5 - 2*(-3)\/y. Solve -l + 2*h = 6 + u, 0 = -h + 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -1\/2*o**3 + 0 - 4*o**2 + 7*o + 1\/12*o**4. Let g be n(6). Solve -8 = -4*r, -p - 5*r + g = -2*r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3004, -15801, -37122, -66967, -105336, -152229, -207646?\n\"Answer: -4262*d**2 - 11*d + 1269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 b when four letters picked without replacement from bbfbbfbbbbfbbbb?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/((-26)\/(858\/(-33)))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1587*v**2 + 138*v - 3.\nAnswer: -3*(23*v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -46*y - 857. Let r be f(-21). Solve r*n = 110*n - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1125 = -5*v - 310. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1443 + -3?\nAnswer: -1450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (20 + -38) - (0 + 69).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47 in 7\/3, 7, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - a**2 - 5*a. What is p(-3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 60092 to the power of 1\/2, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/2 + 24285*o\/2.\nAnswer: 3*o*(o + 8095)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 81324885661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - l - 5*l - l + 101*l + 12*l.\nAnswer: 104*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 1, 22.\nAnswer: -2, 1, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8560 + 8555. Sort 1, 1\/5, -2, -3\/98, h in ascending order.\nAnswer: h, -2, -3\/98, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -43*i + 1. What is u(1)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**2\/4 - 61585*v\/2 + 307900 = 0 for v.\nAnswer: 10, 123160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 4*g + 2*g + (3*g + 2*g - 3*g)*(5 - 1 - 5) - 3*g + 2*g + 4*g)*((1 + 0 - 3)*(-3 - 3 + 4) + 1 + 1 - 3)*(-3 + 5 - 1) in the form p + o*g and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33547018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24.87 or 2?\nAnswer: -24.87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -3. Let p(c) = 8*c + 5. Let s(b) = 11 + 38*b + 26*b - 89*b + 42*b. What is r*s(x) - 13*p(x)?\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 723541 and 273.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -37 - ((8 - 2) + (55 - 45))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.3, 1, -0.1, 1.2, 478, 18 in ascending order.\nAnswer: -1.3, -0.1, 1, 1.2, 18, 478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 18\/(3 + 28\/(-12)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.490308 and 396.\nAnswer: 395.509692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 10:31 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -822, -3149, -7032, -12471, -19466, -28017?\n\"Answer: -778*q**2 + 7*q - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000506 to five decimal places.\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 111 + -110. Let n = 0.35 + -3.44. Let f = -0.09 - n. Which is the closest to 0.2? (a) p (b) -4\/5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*b = -23, -5*b = t + 10 + 3. Suppose -t*f = 3*f - 10. Determine n, given that 0 - 3\/5*n**f + 3\/5*n = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28216 = 940*p + 53564 for p.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1242\/966)\/((-60)\/140)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2087426 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 + 1 - -7 - (26 - 36)) + 0 + -64.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f + 2. Let c be i(1). Solve -4*l + 2*l + c*y = -14, 5*y + 13 = -2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j + 1534 = 708 + 601 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8242691269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 = 3*a - 230. Let v = a - -241. Is 79 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1295 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 d when four letters picked without replacement from {d: 4, a: 4, l: 3, v: 9}.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16, 25, 42, 73, 124, 201, 310?\n\"Answer: g**3 - 2*g**2 + 8*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101000020113 + -12?\nAnswer: -101000020131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/15 + 460\/(-25). Let w be 2\/3 + (-42)\/q. Solve 3*i + w - 18 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -3 (c) -1.1 (d) 2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1237040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1296)*3)\/((sqrt(3) - sqrt(48))*4) - (sqrt(12) + 5 + sqrt(36)\/sqrt(3))**2*3*-1.\nAnswer: 117*sqrt(3) + 219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.28 less than 5946076?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 2:32 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 157300 divided by 31460?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2689 + -2537. Which is greater: f or 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -52, -119, -220, -361, -548?\nAnswer: -787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 82\/15355 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - f - f)*(-2475*f - 484*f - 545*f + 1).\nAnswer: 14016*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 7:57 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 13*q = -581. Suppose 0 = -q*b + 82*b + 412. Does 61 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(175) - -4*-2*sqrt(175) - sqrt(175)))**2.\nAnswer: 280000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y - x + 14 = 0, 3*y + 6 = 3*x. Let a(w) be the first derivative of -y - 2\/15*w**3 + 0*w**2 - 1\/10*w**4 + 0*w. Determine p, given that a(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 325252, 325040, 324686, 324190, 323552, 322772, 321850?\n\"Answer: -71*l**2 + l + 325322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7.73? (a) -10 (b) -5 (c) -0.1 (d) 2\/17 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/6 and 5\/19.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.47419 rounded to 1 dp?\nAnswer: 11.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l + 2 + 9*l**2 - 2*l**3 - 6 + l**3. Let g be o(5). Suppose a = -a + g. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1893 - -3387\/2. Let z = r - -200. Which is the closest to 4? (a) -6 (b) -0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 109 + -111. Which is the third smallest value? (a) -3\/5 (b) -0.5 (c) 31 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2951851 divided by 9.\nAnswer: 2951851\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 113 + 14. Let o = 127.00254 - c. Round o to four decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 546\/(-84) - 6\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18076 + -18076.00070248. What is u rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**5*u)\/u**(-1\/6))**(29\/5) assuming u is positive.\nAnswer: u**(1073\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21820, -87772, -197854, -352066?\nAnswer: -550408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1445.2 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 31*w**2 + 8956*w - 9. Let c(u) = 14*u**2 + 4475*u - 4. Give 9*c(f) - 4*m(f).\nAnswer: 2*f**2 + 4451*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515 is divided by 44.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 9*q**2 - 2*q + 8. Let l be d(0). Suppose 149 + 167 = 5*h + 4*v, -5*v = -h + 69. Calculate the highest common factor of h and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h + 8*h + 3*h + h as j + c*h and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 112?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4*(10 + -12) - -15. What is the highest common divisor of 56 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -2.6. Suppose -b = 4*b - 80. Let g be (b\/528)\/((-2)\/6). Sort g, i, -5 in ascending order.\nAnswer: -5, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 105*k**3*r - 4*k**3 + 6*k**2*r - 75*k*r wrt k.\nAnswer: 630*r - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 19. Solve -q*y = -16, -2*y - 4 = 4*c + 2*y for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3388 - -3398. Solve 5*l + 2*z - 6 = p, 3*l + 3*z - 15 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 3:06 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2\/4 + 115*n\/4.\nAnswer: 5*n*(n + 23)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 778?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3376 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*y - 0. Let s(v) = -8*v + 16. Let a be s(-7). Suppose 0 = -y*c + 4*x + 58, 6*c - 2*c - a = -3*x. What is the remainder when 62 is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -1 (c) 4 (d) -18.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 139 or 0?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 43*m**2 + 18. Calculate t(-43).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.258 + -3. Let x = 12.508 - j. Round x to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 19, 20, 17, 10, -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/5 - 1980692*u\/5 - 3565278 = 0.\nAnswer: -9, 990355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0083 and 1?\nAnswer: 0.9917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2*-207\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + a - 8. Suppose 2*z = -3*b, -a*z + 6*b = b. Suppose z = -3*d + 11*d - 688. What are the prime factors of d?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*3\/(12\/(-100)). Let d be 60\/h*20\/6. Solve 2 - d = -2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + c)*(121 + 487 + 102 + (1 + 2 - 1)*(0 + 10 - 1)) as y + b*c and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 367.9999731 + -368. Round r to six decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 0 + 3*q - q + 7 - 1. Let x be g(5). Suppose 4*t = -l - 20, -l + x = -4*t - 4. Solve -4*a = -l*a + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/173224 and 103\/3212?\nAnswer: 139098872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 663.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1807235240 to the power of 1\/5, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - t**2 + t - 1. Let w(s) = 3*s**3 + 6*s**2 - 5*s + 5. Let h(k) = 10*m(k) + 2*w(k). What is the third derivative of h(g) wrt g?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/2)\/(24\/16). Calculate the common denominator of 11\/10 and (1\/(-4)*s)\/(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, -1, -3, -6, 3, 23 in descending order.\nAnswer: 33, 23, 3, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 304 - -322. Let a = -626.4 + q. What is the biggest value in a, 2\/13, -395?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c - 9 = -12*c. Is 4 a factor of (-7)\/((-42)\/(-16))*c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2720 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: b\"What is the kth term of 11698, 11594, 11312, 10762, 9854, 8498, 6604?\n\"Answer: -15*k**3 + k**2 - 2*k + 11714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -26. Let w(q) = -q + 10. Let r be w(10). Let y be (g - r)\/(-4)*1. Solve 6*n - y*s - 3 = 3*n, -5*n + 9 = -2*s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193728214*u - 96864105*u + u**2 - 96864109*u.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-8)\/(-12))\/((6\/1251)\/2) is divided by 141.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**2 - 16185*i = 0 for i.\nAnswer: -5395, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -5.01. Let d = 0.028 - y. What is d rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/7 and -5146\/8223 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*p - 16, -m + 13 = -2*p. Calculate the remainder when 66 is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/(-30) + 4\/5. Let v be (3 - (353 - n))*160. What is v rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 10*h + 21 + 2*h + 4*h - 15*h. Let v be m(-20). Let o be (-78)\/(-322) - 4\/14. Is o >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -19 - 6. Suppose 0*s = -z*s + 7500000. What is s rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, 2, 0.1, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a factor of 28982853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 252 - (-5)\/(5\/(-2)). Let t be (q\/(-4))\/((-1)\/160). Suppose -t = -4*v - v. Round v to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/15 + 14*x**2\/15 - 14*x\/15 - 2.\nAnswer: -2*(x - 5)*(x - 3)*(x + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000215342 to 7 dps.\nAnswer: 0.0000215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7701 - 7703.7842. Let u = 2.8 + o. What is u rounded to 3 dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3) - (-16)\/6. Let l(q) = q**h + 3*q - 4 - 5 + 2. What is the units digit of l(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121222012101002 + 20?\nAnswer: -121222012100212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 h when two letters picked without replacement from dooffoohsshofhsoooh?\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 + 2*o**3 - 2*o**2 + o**3 - 3*o**3 + 2*o**3 + 3*o**3 + (-2*o**2 - 3*o**2 + 4*o**2)*(-3*o + 0*o + o).\nAnswer: 7*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1950883327 to the power of 1\/2, to the nearest integer?\nAnswer: 44169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*q - 601 = 3515 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*u + 176 = 0. Suppose 2*a = -4*q + 2*q + u, 4*a - 2*q - 334 = 0. Suppose -4*v + a - 229 = 0. Round v to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 733*z - 615 = 774*z for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ri when two letters picked without replacement from ozziojzwooor.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 4*c - 67, 5*c - 49*g + 54*g - 85 = 0. Let q = -2 + 5. Suppose -r = -q + 2, 2*p - 19 = 5*r. Calculate the highest common divisor of p and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -129255, -258509, -387763?\n\"Answer: -129254*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 58*v**6\/3 + 2*v**3\/3 - 35*v**2 - 111. What is the third derivative of u(t) wrt t?\nAnswer: 6960*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400*p + 169 = 376*p - 143 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a hour in seconds?\nAnswer: 18900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 820 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 599910932*r**2 + 0*r + 4*r - 599910929*r**2 - 4*r.\nAnswer: 3*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -23*c**3\/6 + 4921*c - 2. Let i(x) = -28*x**2. What is t(i(v))?\nAnswer: 644*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-41 - (33 - 33))) + -138.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**(-25)\/r)\/r*r)\/(r\/((r*(r\/r**(-1\/6)*r)\/r*r)\/r)) assuming r is positive.\nAnswer: r**(-143\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = h - 20. Suppose -h*r = 2*b + 16, 0 = -5*r - 13 - 7. Let v(k) = k + 23. What is the units digit of v(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35910*d**3 - d**2 + 203475*d wrt d.\nAnswer: 215460*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9587*u**6 + u**2 + 50*u + 8?\nAnswer: -1150440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -202*a**3 - 2*a**2 + 2*a + 2. Let h be q(-2). Suppose -3*m = 349 - h. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 0.122, -474 in descending order.\nAnswer: 3, 0.122, -3, -474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 divided by -1?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2594.2 - 2598.2. Let i(q) = -q**3 - 4*q**2 + q + 4. Let v be i(-4). Which is the nearest to 1? (a) 0.01 (b) m (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + -0.1. Let u = -4 - -1. Let m = -4.08 + 0.08. Put r, u, m in decreasing order.\nAnswer: r, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12221.4*-10.9\nAnswer: 133213.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u*u**(-2\/19))*u))\/u)\/u)**42*u\/u**(-11)*u*u**11 assuming u is positive.\nAnswer: u**(-1224\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 20210 = -2*t + 3*t, -4*t - 4*o = -80792. What is t rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -426, -16 in decreasing order.\nAnswer: 5, -16, -426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1284, -5, -3, 3 in ascending order.\nAnswer: -5, -4, -3, 3, 1284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -186.2 - -186. Sort 4, n, -3, -1.\nAnswer: -3, -1, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11417, 22831, 34245?\nAnswer: 45659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301922492.\nAnswer: 2, 75480623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -24*x**3 - 2*x - 1. Determine o(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**12*t*t\/t**18*(t*t**(-1)*t)**(-1\/2) assuming t is positive.\nAnswer: t**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1749)\/(-23320))\/(1\/5 - (-19)\/(-20)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p = 8. Suppose p*j = j. Is j at least 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 1.2911\nAnswer: 1.2911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8990*v**5 + 266*v**3 + 77593972*v wrt v?\nAnswer: 179800*v**3 + 1596*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 209623057645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 581 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25786514?\nAnswer: 2, 13, 53, 18713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (-37)\/14 - 18\/21. Sort u, 6.7, 2.\nAnswer: u, 2, 6.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 7 = -2*t, -59 = -4*w - 8*t - 47 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15076*a**2*g**3 - 52445*a*g**3 wrt a?\nAnswer: 30152*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -2. Let p(h) = 3*h - 1 + 0*h + l*h. What is the units digit of p(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -13. Let b be ((-2)\/(-5))\/(g\/(-200)). Let t(r) = 3*r**2 + r. Let k(n) = -3*n**2 - 3*n - 2*n**2 - 2*n**2. What is b*t(w) + 4*k(w)?\nAnswer: 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5407 - 18?\nAnswer: -5425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 137, 1822, 4631, 8564, 13621?\n\"Answer: 562*s**2 - s - 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*a**2 - 19*a**2 + 20*a**2)*(3*a**3 - a**3 - 4*a**3) + (1 + 2 - 5)*(6*a**5 - 7*a**2 + 7*a**2).\nAnswer: -50*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 929.92 - 931. Let q = 2547.3796 + -2546.29959914. Let a = q + i. What is a rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -76*r - 19. Let k be s(-4). Let l = -285 + k. Let y = 1070175\/223 - 4799. Is y greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 12:24 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 14. Let n be y(11). Solve 5*k - n*k = 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 22 = -2*p, -5 - 10 = -3*p. Solve -15 = 5*o + 2*c, -k*o = 3*c - c + 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*x**3 + 43*x - 47*x + 40*x + 37*x + 44*x - 127*x.\nAnswer: 14*x**3 - 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) 2806 (b) 1\/5 (c) -3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 q, and 1 t when three letters picked without replacement from uquuuqtuqbbubvibqbu.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, n: 6, b: 5}. Give prob of picking 2 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*o - 1. Suppose o*m + 4*d = 3*d + 7, 2*m + 2*d = 6. What is the second biggest value in -0.2, m, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 0, 5*l - 20 = -4*f - 0*l. Suppose -1 = -f*w + 14. Suppose -w*a + 4*z = -58, 2*a = -z + 4*z + 39. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -51753, -51753, -51751, -51747, -51741?\n\"Answer: u**2 - 3*u - 51751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -21. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 + 9 - 3 + 13*j**3 + 1 - 3*j**2 - 5.\nAnswer: 13*j**3 - j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*k - 2, 0 = 2*c + 5*k - 33. Suppose 22*w - 3321 = c*w. Let b = w - 656. What is b rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 1081.\nAnswer: 3\/1081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24*(-1)\/((-72)\/(-54))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000725269333 rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (15\/18*12\/(-40))\/(531\/472)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2376)\/(-55))\/12)\/(16\/80)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144197 is divided by 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -650*s - 1440 = -570*s for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 20 + 4 = 0. Let g be (1\/(-9))\/(4\/(-822)). Let u = y - g. What is the common denominator of u and -89\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115541 is divided by 2804.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 96030, 96101, 96158, 96201, 96230, 96245, 96246?\n\"Answer: -7*a**2 + 92*a + 95945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(16\/4)*-2)\/7.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.11 - 4.11. Let h = 4.35 - 9.35. Put h, -1\/4, b in ascending order.\nAnswer: h, b, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -27*y. Let h be 48\/150*5 + (-4)\/(-10). Let c(b) = b**2 - 3*b**2 + 0*b**2 + 3*b**h. What is c(u(g))?\nAnswer: 729*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from tnnzzztt.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 10:03 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 6111*m - 6108*m - 15, 3*m = -0*v + 2*v + 35 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -441*u**3 + 3*u**2 + 11*u. Let r(l) = -440*l**3 + 4*l**2 + 10*l. Let a(j) = -4*o(j) + 3*r(j). What is the second derivative of a(w) wrt w?\nAnswer: 2664*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27409 - 3.\nAnswer: -27412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 2592.\nAnswer: 1\/1296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -110291 bigger than -110294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from hddbdhdhhddhbhhhbd.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -g + 138 - 147 + 132*g**2 - 47*g**2 as u*g**2 + i + n*g and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 83102*l + 83099. What is p(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15931.\nAnswer: 89, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3759975?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -2221100?\nAnswer: -2221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.25491 and 3.8.\nAnswer: 3.54509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 4*u + 2*u - 16, -3*g - u - 9 = 0. Sort 0, g, 11 in decreasing order.\nAnswer: 11, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.9 take away -1.6984?\nAnswer: -5.2016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 392472.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1327614043 to the nearest integer?\nAnswer: 36436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 5130.85 to the nearest one hundred.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3619*f*o**3 + 2*f*o + 107711*f - 5709*o**3 - 196*o wrt o.\nAnswer: 21714*f*o - 34254*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*t = -35*t + 20*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 17. Let x be s(6). Suppose x*q = 6*q - 45. What is the units digit of (148\/(-16) - q)\/(1\/(-28))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d. Let z(l) = 3*l**2 - 3*l. Suppose -22*t + 266 = -20*t. Let v = -130 + t. Give v*q(x) - z(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 7. Let p(u) = 4 - 9*u - t. Does 10 divide p(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344 = -31*g - 375 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 4 - 67*h**2 + 56*h**2 to the form k*h + t + m*h**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 14182*l - 2. Let r(o) = -3*o. What is r(g(x))?\nAnswer: -42546*x + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(1*5\/715). What is the common denominator of (z\/50)\/11 + (-10)\/(-4) and 41\/45?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1589 = -7*p + 1582 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -267960 divided by 224.\nAnswer: -4785\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 17399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -41b - 848a?\nAnswer: -88a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5122744 to the power of 1\/2, to the nearest integer?\nAnswer: 2263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -9*v. Let l(y) = y. Calculate c(l(f)).\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (338*o + 47*o**3 + 31*o**3 - 343*o)*(-2*o + o + 0*o) - o**4 - 4*o**4 + 2*o**4 to j*o**2 + f*o + d*o**3 + p*o**4 + u and give p.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 759*i**6\/40 - i**5\/30 + 145*i**4\/24 + 243*i**2 + 2. Find the third derivative of p(l) wrt l.\nAnswer: 13662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6*k**3 + 3127*k**2 - 509*k - 6239. Determine a(521).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02 at most -8619084?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vlvllkwwwlvvxlwswwwv. What is prob of picking 1 s, 1 x, 1 v, and 1 l?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -11. What are the prime factors of 38\/(-2)*(-3)\/q?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 145 = 61. Let l(x) = -3*x**2 + 65*x - 29. What is the remainder when 31 is divided by l(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(972) - sqrt(972) - sqrt(768))\/(-3*sqrt(100)*1 + sqrt(100) - 6*(sqrt(100) + (sqrt(100) - sqrt(100)*-1))).\nAnswer: 7*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0854 * 0.8.\nAnswer: 0.06832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -6. Suppose 7 = -q - 4*k, -k - k = -4*q + 26. Suppose 0*c + 4*y = -3*c + 26, 28 = q*c - y. Solve 0 = 4*f - c + m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 151*v**3 - 2*v**2 - v - 7. Let w be 1 - 16\/12 - (-40)\/12. Is h(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*k = -61 - 16, 8 = y + 5*k. Suppose 7*x = y*x - 16. Which is greater: x or 5\/16?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - c + 5, -11*c = -14*c + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1413 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4057, -5814, -7571?\nAnswer: -9328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 370 + -369. Let g = 0.48 + -0.16. Let o = 0.27 - g. Which is the third smallest value? (a) -0.1 (b) o (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 20 = -3*x, 6 = 2*x + 5*s - 14 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -129596988.3?\nAnswer: 129596987.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89\/348 + 1\/174. Suppose -g = 2*f + 3*f - 17, -3*f = -3*g - 3. Let q be (0 - 3) + 0 - 1. Which is the smallest value? (a) l (b) f (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 27*b**3 - 5*b**2. Let n(v) = 189*v**3 - 36*v**2. Calculate -5*n(d) + 36*y(d).\nAnswer: 27*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/6)\/((-3)\/(-9 - 0)). Let v be (-32)\/8 + (54062\/1 - x). What is v rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, e: 1, b: 3}. What is prob of sequence ef?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-38)\/15)\/(60\/125) and (-5)\/(-6)*366\/(-140).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r + 96*r - 25*r.\nAnswer: 75*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 8:10 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*w = -2538 - 5062. Calculate the lowest common multiple of 8 and w.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -255*v - 2042 - 18063 - 3355 for v.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(-10)*(-2)\/(-6). Let k be (74\/12 - 3) + -3. Let j = 0.02 - -1.98. Which is the third biggest value? (a) k (b) j (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 11:36 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o**2 - 3*o. Let u(i) = 11*i**2 + 8*i. Let x(q) = -2*q**2. Let w be ((2 - 3) + -1)*-1. Let j be x(w). Give j*a(y) - 3*u(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6949635385?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1939670 is divided by 969767?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -131 + 175. What is the remainder when j is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 68 = -4*a + 2*x, 295*a + 171*a - 644*a + 4*x - 374 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3)*(-240)\/40?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9739.62 litres in millilitres?\nAnswer: 9739620","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**8\/840 + z**7\/420 - z**6\/60 - z**5\/12 - z**4\/6 + 7*z**3\/3 + 3. Let r(s) be the third derivative of c(s). Factor r(m).\nAnswer: 2*(m - 2)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39123*p = 38998*p + 125. Suppose -3*m - 2 + 5 = 0. Solve -l + p = -m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.9 - 5.9. Let i = g + 17.4. Let k = 2 - 4. What is the second smallest value in k, i, 4, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -43*q**6\/10 + 203*q**5\/60 - q**2 - 95. What is the third derivative of c(j) wrt j?\nAnswer: -3096","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, 1\/6, 0.701559, -0.2, -1, -17?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -42602532?\nAnswer: 21301266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/794 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, r: 2, m: 2, p: 2, t: 2}. Give prob of sequence tpw.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/8 + 13259*a\/8 - 4971.\nAnswer: -(a - 13256)*(a - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55488 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 12:08 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2283, 4565, 6847, 9129, 11411, 13693?\nAnswer: 15975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34042 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (5 - 19)) + -5 + -1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04303*-1.\nAnswer: -0.04303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*y = 39*y. Suppose 2*v - 12 + 64 = y. Let c = 23 + v. Which is bigger: c or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-584)\/96 - (4\/(-10))\/((-276)\/115)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*t - 6. Let h = 50 + -30. Let p = h + -9. What is the lowest common multiple of t and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*-15*(-3)\/(-675).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + sqrt(80) + 2 - 3*(-1 + sqrt(5)))**2 - 4*(sqrt(45)*-2)**2*-4.\nAnswer: 50*sqrt(5) + 3030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a + 11 + 146 = -128. Calculate the remainder when 176 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(2))**2 - -4*2*sqrt(11).\nAnswer: 8*sqrt(11) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**3 - 7*a**2 + a + 541. Calculate the remainder when b(0) is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 2723*b - 27390. Determine f(-10).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 5*i**2 + 0*i**6 + 0*i**7 + 7\/24*i**4 + 0*i**3 + 0 + 0*i**5 + 5\/336*i**8 + 0*i. What is the second derivative of f(j) wrt j?\nAnswer: 100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356470 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u + 18 = 14*u + 2*j, 0 = 4*u + j + 17 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8292622892 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2404 divided by 14369?\nAnswer: 2404\/14369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3130 and 241636.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, k: 1, s: 1, o: 4}. What is prob of picking 1 s, 1 k, and 2 o?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 + 31 = 5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, n: 2, g: 1}. What is prob of picking 2 n and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 9:55 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/28538398 and 17\/38102.\nAnswer: 28538398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 3*v**2 + 9*v - 8. Let h be p(-7). Suppose 0 = f - h + 12. What are the prime factors of f?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 136472155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -51*x**4 - x**2 + 97?\nAnswer: -204*x**3 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.735658 - -93.732008. Let i = -93 + d. What is i rounded to four decimal places?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53\/52 - 7\/26. Let n = 69 + -64. What is the smallest value in n, 0.04, q?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001507557 to 6 dps.\nAnswer: -0.001508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -398 - -401. Suppose 3*m = -t + 687, 3*m = 2*m + a*t + 239. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 10 = -4*s, 3*j - 2*s + 12 = 3*s. Let o = 0 + j. Let v(p) = 2*p**2 + 2*p - 1. Let m be v(o). Which is greater: 2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/44384549 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 + l**2. Suppose -3*x = 8 - 2. Let c(i) = 6*i**3 - 3*i**2. Let f(h) = x*c(h) - 7*s(h). Find the third derivative of f(p) wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12600000 to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 138081.3kg in grams?\nAnswer: 138081300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 3*l + l - 69, -4*l + 18 = 2*r. Suppose -236 = -4*j + 4*h, -2*j - 3*h = 2*j - 271. Let s = r + j. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -3 (c) -13 (d) 3.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/11862 and 121\/24?\nAnswer: 47448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 7:38 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 26765.3 rounded to the nearest 100?\nAnswer: 26800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7729 (base 10) to base 7\nAnswer: 31351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 5:40 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-10))\/(186\/62*74\/(-4)).\nAnswer: -1\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 14 = 11, 5*d - 40 = -3*n. Suppose 37 = 3*b + 10. Calculate the lowest common multiple of b and n.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/50)\/(3\/(-6))*(5\/3)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 + 46 - 11*u**3)*(5*u**2 - 3*u**2 - 8 - u**2).\nAnswer: -11*u**5 + 88*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1719702.\nAnswer: 2, 3, 95539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9915758420 + 1.1?\nAnswer: -9915758418.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1591.637086 - -1591.17. Let d = c - -0.42104. Let r = d + 0.046. Round r to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -231 - -463\/2. Which is the nearest to j? (a) -5 (b) 0.5 (c) 3 (d) 9\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7482 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.79 - 1403.\nAnswer: -1402.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9 * 8\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 811225 divided by -25\nAnswer: -32449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2\/3 + 6755*c\/3 - 74630.\nAnswer: -5*(c - 1317)*(c - 34)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 1700.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-100))\/((-51)\/(-170)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 13*m + 192. Calculate g(-19).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -136170 + 34170. What is b rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 4*n**2 - 2*n - 2. Calculate q(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x - 6. Let o be p(-2). Is (1*73)\/(o\/74) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and -22.\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1094, 0.13, 0.5, -4, 4, 0.3, 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 u, and 1 r when three letters picked without replacement from roudmdn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -3, -1213 in decreasing order.\nAnswer: -3, -8, -1213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 652981, 652979, 652977, 652975, 652973?\n\"Answer: -2*n + 652983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 + 2. What is the least common multiple of 22 and b(-3)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3) + 0 + (-112)\/(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)*1 + -4 + sqrt(50) + (-3*-5*sqrt(200))**2.\nAnswer: 10*sqrt(2) + 44996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**4\/4 + r**2 + 4*r - 3. Is q(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/17 - 48*u\/17 + 104\/17.\nAnswer: -2*(u - 2)*(u + 26)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*h + 8. Let f = 5 - 2. Put h, f, 5 in decreasing order.\nAnswer: 5, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11704357.267 - -1?\nAnswer: 11704358.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 39*l. Determine f(1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + sqrt(80) + (-4*(sqrt(80) + 1))**2)*-4.\nAnswer: -5184 - 544*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence booo when four letters picked without replacement from wvbwvvvowvovvvvowvo.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/((c*c\/c**(-50))\/c))\/c*c*(c*(c\/(c\/(c\/(c\/(c\/(c\/c**42)*c)))))\/c)\/c assuming c is positive.\nAnswer: c**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91065 - 45903. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 9*d + 19. Let t(h) = 3*h + 6. Let l(k) = 2*q(k) - 7*t(k). Calculate l(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*(-12 + 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4*(-4)\/4. Let z = 0.158 - 0.358. What is the fourth smallest value in d, 2, -1, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5210 is divided by 211?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 917280 by -76440.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in months?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-5) - 0)\/((-3088)\/(-1544))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -839998+1118.73\nAnswer: -838879.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1012 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, -0.05, -10, 4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-6)*o**(-2\/7)*(o\/o**1)**(-7) assuming o is positive.\nAnswer: o**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 10, -17, 3\/2, -4, -7\/65, -3?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1467 and 0.4.\nAnswer: 586.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**3 - 8*q**2 - 5*q**2 - 2*q**2 - 1 - 8 + 21*q = 0. Calculate q.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/3, -10, -12\/655?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 11, u: 3}. Give prob of sequence euee.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-12) + ((-18)\/8 - -1). Which is the nearest to 0.4? (a) i (b) -5 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 202308 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1640574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 8*n - 14. Let d(p) = -p**2 - 9*p - 13. Let k(r) = 4*d(r) - 3*h(r). What is the tens digit of k(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9029.\nAnswer: 9029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 3*y - 9 - 6 = 0, -20 = -3*g - 4*y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148658165 - 148658165 + 3*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -95271 and -25.\nAnswer: 2381775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0246 and -448.\nAnswer: -448.0246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49105 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32231918 is divided by 555722.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(567\/(-180)))\/((-2)\/(-1)*1).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-6182.\nAnswer: 24728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384*q**3 - 2 + 126*q + 6*q**2 - 126*q - 6*q**2.\nAnswer: 384*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.25 and -357.17356.\nAnswer: -356.92356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n - 1. Let b be o(1). Let g be ((-13)\/(-2))\/((-1)\/(-8)). Let i be (-3)\/9 - g\/(-12). Solve -4*j + i*w - 10 = 10, -b*w = -12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4244492916.\nAnswer: 2, 3, 19, 53, 191, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*a + 2248 = 2738. Calculate the remainder when 729 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 583 = 2*z - 5*j, -3*z - 1142 = -7*z + 2*j. Suppose g + z = 3*m - 408, m - 214 = -3*g. Is m at most as big as 227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319594?\nAnswer: 2, 11, 73, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 29*y**2 - 58*y - 36. Let t be r(31). Is 87 greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 - 10*q + 10. Let s be g(-6). Let i be 4 + 80\/3 + s\/(-6). Solve 7*v - i = -10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*q*r*t**5 - 8*q*r*t**2 + 1394*q - r*t wrt t?\nAnswer: -420*q*r*t**3 - 16*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2272 - 1348. Suppose 2*y - 13*y = -n. What are the prime factors of y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1370*n + 562*n + 1325*n - 400*n - 2*n**2.\nAnswer: -2*n**2 + 2857*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1b5 (base 13) to base 11\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o. Suppose 2*l + 3*x = -30, 0 = -4*l - 3*x - 72 + 6. Let v be l\/3 + 3 - -12. Let w(p) = -3*p - 14 + 3 + 5 + v. What is 5*n(d) + w(d)?\nAnswer: 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16795\/6 + -134287\/48. Find the common denominator of u and -109\/54.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 13*h - 20. Is (-1 - h)\/(2\/998) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -38*c**3 + 3*c**2 - 42*c - 46. Is n(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 21756, 173998, 587192, 1391814, 2718340, 4697246, 7459008, 11134102?\n\"Answer: 21746*b**3 + 20*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -25*r + r**3 + 21*r - 35*r - 2 + 2*r**2 + 21*r - 6. Give o(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**3 + 3*f**2 - 14*f. Let h(b) = b**3 + 2*b - 1. Let n(s) = 4*h(s) + t(s). Let v = -27 + 23. Let r be n(v). Solve -r*x - 3 - 9 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -138, -123, -86, -21, 78?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 663989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + f**2. Let b(r) = -20*r**3 - 41566 + 41566 + 22*r**2. Suppose 0 = -3*h + 3*z, -z + 8 = 5*h - 2*z. Calculate h*b(k) - 44*u(k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (6 + 1 + (1 - -3) - 9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -25*w**3 - 63*w**2 - 5*w - 211. Let d(q) = 46*q**3 + 126*q**2 + 9*q + 422. Let c(m) = -3*d(m) - 5*o(m). Find the second derivative of c(h) wrt h.\nAnswer: -78*h - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -c**3 + 3*c**2\/2 - 2*c + 1. Let d(y) = -y**3 - 10*y**2 - 9*y + 2. Let r be d(-9). What is i(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, p: 10}. Give prob of picking 2 p.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 7) to base 4.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**3\/2 + m**2\/2 - 60*m. Let i be -4 + (-7)\/3*-3. Let y(n) = -7 + i + 7*n + 2. Calculate 5*t(a) + 2*y(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 12:55 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4866?\nAnswer: 2, 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 361033 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from koookk. What is prob of picking 4 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 129, -44, -5, -2, -10, 3 in decreasing order.\nAnswer: 129, 3, -2, -5, -10, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166767 is divided by 226?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-1 + 2 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16641628.\nAnswer: 2, 4160407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 6:21 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*c - 10 + 30. Let b be c\/3*(69 + -3)*-1. Does 43 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3062, 5916, 8770, 11624, 14478?\n\"Answer: 2854*h + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 637*x. Let n(p) = 2*p. What is n(u(f))?\nAnswer: -2*f**2 + 1274*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, 2, 4, 3, 2.69?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1728, 3451, 5172, 6891, 8608, 10323, 12036?\n\"Answer: -x**2 + 1726*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/14, 0, 5?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 32918509 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6717*p**2 - 13431*p**2 + 6712*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*i**5 - 1835*i**2 - 23644*i.\nAnswer: 80*i**3 - 3670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**6\/16 - 3*t**5\/40 - 8. Factor f(h).\nAnswer: 3*h**4*(h - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(1\/7))\/c*c\/c**(-13)*(c**(-3))**(2\/15) assuming c is positive.\nAnswer: c**(481\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3 + 3 - j**2. Let s(q) = q + 9. Let d be s(-9). Let t(w) = -2*w + d*w + 0*w. Give t(f(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3))**0*(((d*(d\/d**(-1\/3)*d)\/d)\/d)\/d)**11 assuming d is positive.\nAnswer: d**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567)*1 + 5 - (sqrt(567) + 3)*-1.\nAnswer: 8 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*j + 1, 3*o - 20 = -o - 4*j. Suppose b = o*b - 26. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.4, -1\/2, -3\/7, 70, -4 in decreasing order.\nAnswer: 70, 0.4, -3\/7, -1\/2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -84*x**2 + 85*x**2 - 1 + 1. Let y(k) be the first derivative of 52*k**3\/3 - 6. What is y(r(p))?\nAnswer: 52*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2921\/5 - -586. Let q = 204 - 203.5. Which is the second biggest value? (a) -2 (b) s (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 381*j**5*l**3 + j**4*l**3 - 8*j*l**3 - j*l wrt j.\nAnswer: 7620*j**3*l**3 + 12*j**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11114542?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39667?\nAnswer: 39667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20251341 (base 6) to base 11\nAnswer: 368501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -80. Does 33 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -283453079\/132 - -2147490. Let y = 8670848\/76549 - -6\/6959. Let x = g - y. Find the common denominator of -16\/5 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**3 - 18188*w**2 + 109101*w - 163638 = 0.\nAnswer: 3, 18182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-26) + (-60)\/52 + 57. Suppose 26*u = 22*u + q. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70239 divided by -18?\nAnswer: -23413\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 + 0 - (-10 - -4 - -4) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 70.35142 kilometers?\nAnswer: 70351420000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2643047?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -24. Solve 3*z = 2*l, p*l + 9 = -l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 - (-63 + 0) - 162\/(-11)?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7928 = 4*v + 4*f - 5324, -4*f = 2*v - 6626. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -4*s + 4*d, -17666*s + 4*d - 46 = -17668*s for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 5:58 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75 - d - 28 + 143 - 78 - 35 to the form w*d + s and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 + 42. Suppose 0 = 2*b - 4*n - 4778, 2*b - l*b + 2384 = -3*n. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1164 - 1158 - (1 - (4 - (3 - 1))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2509121\/44 - -57029. Let p = l - 36\/11. Let z be (-11 - (-12232)\/1045) + -2*4\/76. Which is the biggest value? (a) p (b) z (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/(-12))\/2*2\/76?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 15*n + 38. Give w(16).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vb when two letters picked without replacement from tebiliivbbtb?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -17 + 10*f - 19*f + 45 + 7*f. What is the remainder when q(-11) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.41 (b) -0.071 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-28)\/(-266) - (-2 + 171604\/(-38) + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 108499835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-6) - (13 - 58\/4). Let j(r) be the first derivative of -4 + 2\/3*r**3 + 1\/4*r**4 - 5\/2*r**2 + k*r. Determine j(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/12)\/((8\/(-3))\/(-1)*(-31779)\/(-23112))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 3*c + 1. Let g be y(-3). Let q be (5 - g - 7 - -50) + 1. Suppose 0*o + 128 = 2*o. Calculate the greatest common divisor of o and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/9 - 5228*t**2\/9 - 939170*t\/9 - 14584400\/3.\nAnswer: -2*(t + 95)**2*(t + 2424)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*z - 4 = 0. Is 83 + 1 + z\/2 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 587*v - 2*m - 40 = 591*v, v = 3*v + 4*m + 14 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-905)\/840 + (-90)\/(-135) + (-2)\/(-16).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 + 27*l + 5. Let s be (-4)\/3 + 144\/27. Let h(r) = -2*r**3 - 28*r - 4. Let u(m) = s*a(m) + 5*h(m). Find the second derivative of u(o) wrt o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -30 - 57\/2*n**2 - 21\/2*n**3 + 114*n = 0. What is n?\nAnswer: -5, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -4 + 8 + 2*1. Let d(w) be the first derivative of 3*w**3 - 3*w**2 + 2*w - 7. Let n(m) = -m**2 + m. Calculate t*n(f) + d(f).\nAnswer: 3*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/(-160)*(-8)\/27?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66907?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1571\/7 - -225. Let q = -3\/319 + -1893\/2233. Put 14, q, 0.5, f in increasing order.\nAnswer: q, 0.5, f, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149326601 to the nearest integer?\nAnswer: 12220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*u - 6*u**3 + 64 - 37*u**3 - 65 in the form h + k*u**2 + x*u**3 + d*u and give x.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ofhg when four letters picked without replacement from ghqggqqgggfog.\nAnswer: 7\/17160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10900?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 415 divide 202232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ehp when three letters picked without replacement from {a: 2, l: 1, e: 5, h: 2, b: 1, p: 5}.\nAnswer: 5\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3073261 and 843107?\nAnswer: 95271091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwzwwwwz. Give prob of picking 2 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - 417?\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -269.6970532 rounded to the nearest integer?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 894303473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.2 times -3.01?\nAnswer: 45.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 4*y - 1. Let z(j) = 122*j**3 - 274*j**2 - 20*j - 5. Let m(c) = -5*i(c) + z(c). What is the third derivative of m(h) wrt h?\nAnswer: 702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 - 6*j + 11. Let f = 23 - 4. Calculate the remainder when q(5) is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1, -1794, 7, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1541318871.\nAnswer: 3, 1399, 367243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/22 and 17\/2842.\nAnswer: 31262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 793618173?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**5 + 5*q**4\/2 + 2*q**3 + q**2\/2 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 216?\nAnswer: 86.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.804 + -1.944. Put v, 2\/55, -5 in ascending order.\nAnswer: -5, v, 2\/55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 6196360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -1)\/(1\/(-6)). Let s = u + 7. Suppose 2*l - 4*l = -10. Solve -2*h = -l - s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6*q - 2 = -2*q, 3*q = -2*d + 30. Calculate the remainder when 45 is divided by (-546)\/(-18) - 3\/d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -4*o + 2, -3*o + 5*c - 87 = -95 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 7:21 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -0.5, -1\/3, 20?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*o + 7*w, -w - 2678 = -298*o + 1200 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-1))\/(55\/(-33)*1)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -39.5. Let o = i + 4.3. Let a = -0.11 - -0.31. What is the smallest value in -1\/6, a, -0.5, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*w + 22 = 3*k, -5 = -5*k + 3*w. Let p = -2 + k. Let r = 3 + -2.8. What is the second smallest value in p, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2651 (base 9) to base 4.\nAnswer: -133012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 at least as big as -1807110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*-1*(-5 + (-1 + sqrt(325))**2).\nAnswer: -20*sqrt(13) + 642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -h - 9, -11*h + 7*h = 5*u + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 50*x - 3003. Give o(60).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -55887 less than 0.21?\nAnswer: 55887.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**9\/3024 - y**6\/720 + y**4\/6 - 6*y. Let n(j) be the third derivative of g(j). What is the second derivative of n(l) wrt l?\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2 + 7*l + 3. Let y(w) = -w**2 + 6*w. Let d be y(5). Let s(n) = -7*n**2 - 13*n - 7. Let f = 30 - 27. Let g(b) = d*j(b) + f*s(b). Give g(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {w: 1, p: 3, j: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*l**5 + 1081*l**4 + 2032*l + 2?\nAnswer: 120*l**3 + 12972*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 2. Let p be 1 - (-25*k)\/3. Calculate the highest common factor of 65 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16714624 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -10*x**2 + 119729*x + 478929. What is g(-4)?\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 4560520 = -5*y, 0 = y + 9 - 5. Round u to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4))\/(99\/88)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69784.5 tonnes in kilograms?\nAnswer: 69784500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64 (base 8) to base 7.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10172, -40692, -91558, -162770, -254328, -366232, -498482?\n\"Answer: -10173*t**2 - t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -814 equal to -316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 2*o**2 + o - 1 - 5*o)*(-7*o + 24 - 50 + 5).\nAnswer: 14*o**3 + 49*o**2 + 28*o + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/16*(-1002)\/(-9185)*4*1?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = b, m - 5*m + b + 84 = 0. Suppose k - m = -4*k. Solve f + 1 = -k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/4 (b) -0.1 (c) -28 (d) -2\/15 (e) -67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*n**3*w - n**3 + 44105*n**2 + 133843*n*w**4 + 2*n wrt w?\nAnswer: 2*n**3 + 535372*n*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112110000 - 30?\nAnswer: -112110030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12356707351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2097 by -5.\nAnswer: -2097\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1326 - -1325.5. Let q = -0.136 + 0.036. What is the third biggest value in -0.2, q, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - t + 1)*(-270*t**2 - 67*t**2 + 78*t**2) + 0*t**3 - t**3 + 2*t**3.\nAnswer: 260*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353356 is divided by 170?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/4 + 91*(144\/21 + -6). Calculate the greatest common factor of 473 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -8. Let k be (-3 - (-50)\/4)*b. Let g = 82 + k. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 199 - 198.99884. Round p to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 25169 from -10.129.\nAnswer: -25179.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 11142*q - 11143*q + 14, -3*h + 26 = 2*q for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -46380? (a) -53 (b) -3 (c) -8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrbrrrbdjrrrbrddjbr. What is prob of picking 1 j, 1 b, and 1 r?\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*o - 3. Suppose 4*s - 2*r + 70380 = 3*r, -o*r + 35184 = -2*s. What is s rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11, -23, -35, -47, -59?\n\"Answer: -12*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -7. Suppose -y*q = 1 - 5. Suppose 7*f - 41 = 4*f + 4*h, 2*f - q*h - 24 = 0. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.27 + -12.2. Let p = -0.97 + l. Let v = -2.7 + 3. Which is the nearest to p? (a) 2 (b) v (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 747 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 - -58. Let f be (-2)\/(-5) - (-1302)\/45. Let m = -883\/30 + f. Sort -0.2, s, m.\nAnswer: s, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 38. Suppose -2*g + 6 = -s*g. Let v = g - -48. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1289 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-211140)\/67620*252\/(-102).\nAnswer: 54\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*g**3 + 1 - 11 + 10 + 20*g**3.\nAnswer: -254*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 11*i + 7. Let r(c) = c**2 + 12*c - 7. Let g(m) = 5*r(m) + 6*x(m). Let j be g(-7). Which is bigger: 1\/3 or j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -57*j**2 + 618*j + 320. What is p(12)?\nAnswer: -472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4688067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1737 + 4420. What are the prime factors of v?\nAnswer: 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d + -631b?\nAnswer: -630c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1528, -1540, -1570, -1624, -1708?\n\"Answer: -v**3 - 3*v**2 + 4*v - 1528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) -736 (b) 22 (c) 2 (d) 1\/6 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 9043*w - 2748. Is o(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w + 4*w - 3*w + 7. Suppose -4*g = -16, -4*u + 0*u = -2*g + 8. Calculate a(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = y - 5. Let q(v) = 4*v + 1. Let b(c) = -5*c - 2. Let o(x) = y*q(x) - 3*b(x). Calculate o(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -1 + 3 + -17 + 14 + -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*n - 39*n = -36*n - 35*n + 816 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - -15.465\nAnswer: 15.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + 2*h**2 - h**2)*(-14*h**2 + 19 - 19) - 8*h**4 + 4*h**4 + 40*h**4.\nAnswer: 64*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.1 - -17. Let h = l + -0.6. Let t = 15351 - 15349.7. Put 4, h, -5, t in ascending order.\nAnswer: -5, h, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 334 - 44. Let k = o + -175. Calculate the greatest common divisor of k and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 527 from -41.2381766.\nAnswer: -568.2381766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1630.6 to the nearest ten.\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*j**2 - 1 + 5*j**3 - 7*j**3 - 2*j - 4*j**4 - 73*j**2 in the form b + a*j**3 + w*j**2 + r*j**4 + s*j and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 + 41.3. Which is the third biggest value? (a) 0.1 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 11*c**2 + 4. Let t(b) = 33*b**2 + 11. Let g(u) = 11*o(u) - 4*t(u). Let v(l) = -39 + 39 - l. Give g(v(i)).\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r**3 - 10*r**2 - r - 3. Let p(q) = -q**3 + q**2 + 1. Calculate -3*p(m) - y(m).\nAnswer: -m**3 + 7*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1100800, -1, 41, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**8\/2520 - 4*u**7\/315 - 151*u**6\/900 - 88*u**5\/75 - 23*u**4\/5 - 48*u**3\/5 - u**2 + 438*u + 1. Solve c(g) = 0.\nAnswer: -6, -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -254*p**3*z - p*z + 59*p wrt p.\nAnswer: -1524*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = a - 887, 3*a + 4*j - 290 = 2346. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 8. Let y(i) = i**2 - 7*i + 7. Let j be y(6). Let u = j + 1. Is n at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(3\/5)\/m)\/m)**(9\/7))**33 assuming m is positive.\nAnswer: m**(-297\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 5 + 6*x)*(6*x - 3*x - 7 + 8).\nAnswer: 18*x**2 + 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 287, 1452, 4065, 8696, 15915, 26292, 40397, 58800?\nAnswer: 82071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -1077*x - 2596. Give y(-2).\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3197429?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**2 + 3*g + 3. Let u be o(3). Let h = 11 + -2. List the prime factors of h\/u + (-18)\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 7*g**2 + 275*g + 313. Let q(n) = -8*n**2 - 276*n - 322. Let m(p) = -5*q(p) - 6*w(p). Factor m(s).\nAnswer: -2*(s + 1)*(s + 134)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - -6) + (-14 - -7)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 14. Suppose i*a = -0 + 264. Let m = a - 33. List the prime factors of m.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/5)\/((-18)\/45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 49530*f**3 - 71404*f**3 + 11.\nAnswer: -120934*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19, -10, -1, 8, 17?\n\"Answer: 9*s - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6564 greater than -10085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.6 + 1.65. Let l = -585 - -596.95. Let h = l + x. Is h at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - 872\/(-36) - 4\/18. Solve 4*v = 5*q + n + 3, -5*v = 3*q - 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/1840)\/((-387)\/258)\nAnswer: -1\/138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 11*v + 44. What is the least common multiple of q(14) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8650, -8956, -9590, -10654, -12250?\n\"Answer: -17*i**3 - 62*i**2 - i - 8570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 3*g + 21, -3*m = -2*g - 16 - 0. Suppose m*n - u = 168, n - 4*u - 32 = 52. Calculate the highest common divisor of n and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -110312?\nAnswer: 110312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24662)\/(-247) + ((-70)\/(-91))\/5. Calculate the greatest common divisor of 2525 and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 12:40 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = -9*y + 458. Calculate the highest common factor of y and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 2. Let g(y) be the second derivative of -y**3\/6 + 3*y**2\/2 - 3*y. Let j be g(-6). What are the prime factors of p(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13\/7 (b) -0.2 (c) 9 (d) 0.1 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*y + 190*y - 17675 = -470*y for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*u, 2*u - 15 = 4*w + 7. Let g be (3 + w)\/(-3) - 15000. Round g to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171528?\nAnswer: 2, 3, 7, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -66747*j + 200252. What is q(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r. Let a(m) be the third derivative of -713*m**5\/30 + 1033*m**2 - 3. Give x(a(o)).\nAnswer: 2852*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/3)\/((-2)\/18). Suppose n = 4*i + 7. Calculate the remainder when 44 is divided by i*1 - (-2 + -14).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -223262*l**3 + 12129*l**2 - 2*l?\nAnswer: -1339572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3094383 divided by 3\nAnswer: -1031461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**2 - 139*m - 1 + 139*m.\nAnswer: -5*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 245 and 4865?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.86 - 0.96. Which is the nearest to -1? (a) 5 (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35675.032 minus 17?\nAnswer: -35692.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1170*r + 102 + 117 - 1168*r - 327 + 89.\nAnswer: 2*r - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/(-27)*((-6045)\/(-2))\/(-13) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*(l\/l**(-12\/5))\/l*l*l))**(2\/3) assuming l is positive.\nAnswer: l**(-44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(5))**2 + -3*(sqrt(25)\/sqrt(5))**2 + 1 + sqrt(80)\/sqrt(4).\nAnswer: 2*sqrt(5) + 706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*d + 5*d. Let l be (6\/d)\/((-27)\/(-36)). Solve -11 = -l*q + 5*u + 10, 0 = 4*u + 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.064 + 0.07257. What is x rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**4 + 0*p**3 + 0*p**3 + (-3 + p**3 + 3)*(2*p + 2*p - 3*p) + 5*p - 275*p**2 - 23*p**4 + 275*p**2 to v*p + r + z*p**3 + o*p**4 + x*p**2 and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 50325600 to the nearest one hundred thousand.\nAnswer: 50300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u. Let q be z(-5). Let l(y) = -12*y**2 - 2*y - 1. Let b be l(-1). Let d = b - -21. Solve 0*o - d = q*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g - 85 = -267. Let j = g - 12. Find the second derivative of 92*w**j - 34*w**2 - 28*w**2 - 36*w wrt w.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20038 (base 12) in base 10?\nAnswer: -41516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 1 + 5. Suppose h = -y*h + 20. Let b be 8 + 10\/15*-6. Solve -k + h = -b*f, k = -k - 3*f - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567) + (sqrt(567) - (1 + sqrt(567)*-2)**2) - (2 + sqrt(175) + sqrt(7) - (sqrt(56)*1)\/sqrt(8)).\nAnswer: -2271 + 49*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 796540 is divided by 863?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/4 + 79*w + 317\/4.\nAnswer: -(w - 317)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.3 (b) -28 (c) -5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -670, 662, 2004, 3362, 4742, 6150, 7592?\nAnswer: 9074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23487 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, a: 3, y: 3, f: 3, i: 3, p: 3}. What is prob of sequence pift?\nAnswer: 3\/2720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (1 - 39)\/((-2)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3))**(-1\/75)*i**(-12)\/(i**(2\/5)*i) assuming i is positive.\nAnswer: i**(-3016\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**3 + 742*l**2 + 882*l - 25085. What is b(-246)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9300 and -0.4.\nAnswer: -3720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 5, p: 2, b: 7}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*q - 240 = 586*q - 297*q for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-21))\/((-8)\/14)*2. Let u be 1 - 1*(1 + -4) - a. Let s be u - 3 - (-1 - 9). Solve -3*n - 2 = 4*l, n - 2*l - 2*l - s = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1244509, -2489016, -3733523?\nAnswer: -4978030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 205768 + -117339. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 222370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 + 2 + (13 - -4) + -12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29.34106 litres?\nAnswer: 29341.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48.05 - 48. Let j = 11 + -7. What is the second smallest value in -0.3, j, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 70*w + 5998. Let c = 1 - -1. What is the lowest common multiple of c and f(-84)?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/15 + 2*s - 28\/15.\nAnswer: -2*(s - 14)*(s - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 0*l**2 + 7*l**2 + l**2 - 2*l**2. Let w(j) = -21*j. Give p(w(b)).\nAnswer: 2646*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, m: 1, s: 8}. What is prob of picking 1 m, 1 i, and 2 s?\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2614403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g - 15. Let a be b(-6). Let f = -74 + 224\/3. Find m such that -2\/9 - f*m - 2\/9*m**a - 2\/3*m**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**1\/m))**18*(m*m\/(m*m**(-1\/3))*m*m)\/(m\/(m\/(((m*m\/(m*m**5)*m)\/m)\/m))))\/(m**(-1\/10)\/m*m**(-5))**(-7\/6) assuming m is positive.\nAnswer: m**(1153\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 302116 - -310165. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, f: 1, z: 4, b: 2, g: 6, j: 3}. Give prob of picking 1 r and 2 j.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 3*g + 7. Let x be q(-4). Suppose x + 4 = 5*l. Suppose -4*c = -l*c. Solve m + 21 = -0*m + 4*f, c = -5*m - 4*f + 15 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -408 in -5, 2\/233, 6, -2\/11, -3, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1107 by 5.\nAnswer: -1107\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (-3 + 7 + -8 + 0 - 3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174043659?\nAnswer: 3, 3733, 15541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -87 - 513. Let q = x + 608.82. Round q to 1 dp.\nAnswer: 8.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-6)*(-27)\/6. Suppose -1 = i + 3, 0 = -j*n - 5*i - 8. Let c = n + 2. What is the highest common divisor of c and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -6*o + 12. Suppose -g - o*g + 10 = 0. Let f(v) = -3*v - v - v**g - 2 + 2*v**2. Determine f(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70599 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**3 - 2*q**2 + 2*q - 1. Let p be 3\/(13\/5 - 2). Suppose -2 - 3 = -p*a. What is the units digit of f(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5409 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (9 + -1 + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 105 - (-1 - 11 - (-360 - -330)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3328320.\nAnswer: 2, 3, 5, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eptptyypggppyy. What is prob of sequence gyp?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/42 - -5\/14. Let q = 1 - 1.3. Let y = q + -3.7. What is the closest to 0 in y, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/21*(-10)\/(-2)*(-49)\/(-70).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -4, -100, 0, 74 in decreasing order.\nAnswer: 74, 3, 2, 0, -4, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 958728 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: Calculate ((-1)\/(-2))\/((170\/(-60))\/17).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 3. Let h = 1 - t. Let i = 4 + -1. What is the smallest value in -2, i, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*(h - h - 2*h**2) + 0*h**2 - h**2 + 2*h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 138894451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 126601790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0258 - 34.3258. Let z = -33.8 - m. Which is the nearest to -1? (a) z (b) -7\/12 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**2 + 4 - 4 + 0*y**3 + y**3 - 4 + 2*y in the form l + w*y**3 + d*y**2 + u*y and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54900576?\nAnswer: 2, 3, 19, 79, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -5*w - 15, -g + 56 = -5*w. Let d = -41 + g. Solve d*h = -2*h + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 8*n + 9. Let m be u(7). Let l(t) = t**2 + 7*t + 7. Let f be l(-6). What is the units digit of f\/m*4 + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 2869405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (17 - -41)\/(4\/36). Calculate the highest common factor of 116 and z.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44*n*r**4 - 2*n*r**3 - 9*n*r - 2313*n with respect to r.\nAnswer: -176*n*r**3 - 6*n*r**2 - 9*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2753*s**2*u**3 + 7315251*s**2*u**2 + s**2 + 7749*s*u**3 wrt u.\nAnswer: 16518*s**2 + 46494*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 88 = 3*u. Solve -u + 11 = -4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*c + 2*c - 3, -18 = -2*v - 2*c. Is (-19 + 22)*47206\/v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 1. Let h be o(14). Suppose 0 = 13*n - h*n + 84. Calculate the remainder when n is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-10)\/(-45))\/(8\/534) - -6 and -37\/172.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) - (-1 + sqrt(272)*-1 + sqrt(272)))**2.\nAnswer: 8*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and ((-1)\/3)\/((-10)\/60).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -2*v + 2848 - 2858, 4*u + 3*v = -v - 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206 = -344008*q + 344007*q - 3*d, -3*d = 5*q + 226 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0321899s to nanoseconds.\nAnswer: 32189900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (252\/(-42))\/(2\/((-8)\/(-3))*1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-144))\/(1\/(-2))*-1.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18760594649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((9 - 13) + -2)*(56\/42 - -5)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 237308, 1\/6?\nAnswer: 237308","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-10)\/13*184\/(-23)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1546342397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 10. Let d = -176 + 178. Suppose d*b - 5*b = -4*w + 1217984, 0 = q*b + 5*w + 812020. Round b to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d + 2. Let n be b(3). Let j(s) be the first derivative of -s**4\/4 - 5*s**3\/3 - 3*s**2\/2 + 2*s - 4. Give j(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30113423 (base 6) in base 4?\nAnswer: -3033130113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 2*s**2 - 4*s + 1. Determine t(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(16\/9)\/p*p*p)**(-2\/121)\/((p*p**(35\/6)*p*p)\/p**19) assuming p is positive.\nAnswer: p**(22043\/2178)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l - 2*l)*(55 - 69 + 9*l - 10*l).\nAnswer: l**2 + 14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - 0.4. Let l = -0.159 - 0.001. Let v = l - c. What is v rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 965*d + 966.\nAnswer: -(d - 1)*(d + 966)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 489192 and 9537?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15436 + -6\nAnswer: 15430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + a - 69 = 24, 5*j - a = -228. Let k = j - -51. Suppose -2*x - s = -3, -4 = 4*s - 0. What is the highest common divisor of k and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -360 divided by 10.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 + 1)\/((-14)\/(-77)). Let h = 18 + p. What is the closest to 2 in h, 2\/3, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 199 (base 10) to base 7\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 - 2*g**2 - 4*g - 2. Let s(c) = -12*c - 46. Suppose 5*q = -2*b + 3*q - 18, 5*b + 9 = 4*q. Let y be s(b). Suppose y = 41*v - 48*v. Give x(v).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -3*h - 1. Let y(q) = 2*q**2 + 223*q - 2961. Let r be y(12). Let m(c) = -c**2 + 1. What is r*m(k) + o(k)?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 210 and 3318?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20944834 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 + ((-150)\/175)\/((-2)\/14). Suppose 0 = 5*s - 2*s - 9. Suppose -3*z + 12 = b, 4*h - s = 5*h - z. What is the second smallest value in -4, h, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -14 + 14 + -13?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 227491 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 3. Solve 3*w + c = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -4 + -4 - -10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.2, -715.428, -13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111111101010011110 (base 2) in base 11?\nAnswer: 168a10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9303810611.\nAnswer: 9303810611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4244 rounded to the nearest one hundred?\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 974301534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 125 = 116. Suppose 5*b = -0*b - a*r + 718, 0 = 5*r + 20. List the prime factors of b.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 27 = -4*s. Suppose -4*n + 21 = -s*o - 47, 0 = 2*o + 4*n + 16. Let a(x) = -2*x**2 - 31*x + 26. Is a(o) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11865 and 35595?\nAnswer: 35595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (112 + (-13148)\/114)*324\/20.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(2\/17))**(-16) assuming w is positive.\nAnswer: w**(-240\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2. Suppose 0*q = 3*q + 3. Let r(j) = 8*j**2 + j - 1. Calculate q*r(t) + 6*p(t).\nAnswer: -2*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(-7)))\/g*g)\/g**(-7\/5)*g**0\/(g\/(g*g**(-7))*g)*g\/((g*(g**(1\/2)*g)\/g)\/g)*g\/((g\/(g*g**(-2\/9)))\/g)*g*g**3*g*g**(5\/2)*g assuming g is positive.\nAnswer: g**(-127\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a52621 + -b8?\nAnswer: -a52709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**4\/4 - i**3\/3 - i**2 - 2*i. Calculate f(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -329309238?\nAnswer: -329309240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -139, 4.46, -27 in increasing order.\nAnswer: -139, -27, 4.46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5873 - -40?\nAnswer: -5833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 46*l - 152. What is b(-49)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 875*r**2 - 1761*r**2 + 881*r**2. Suppose 0*w - 21 = -7*w. Let m(s) = 292 - w*s - 292. Calculate u(m(n)).\nAnswer: -45*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 19 + 8)*(-72*y**2 - 148 + 148 + (2*y - 2*y - y)*(5*y + y - 4*y) - y**2 + 4*y**2 - 2*y**2).\nAnswer: 438*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - 3*m. Let n = 16 - 21. Let g(h) = -4*h**2 + 7*h - 1. What is n*b(t) - 2*g(t)?\nAnswer: -2*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o**3 - 6*o**2 + o**3 + 6*o**2.\nAnswer: -10*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zynznppyynpyzn. What is prob of picking 2 y and 2 p?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-54)\/(-36))\/(1\/(-34)). Let v be 23*d\/(5 + -8). What is the highest common factor of v and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4*((sqrt(198) + (sqrt(198) - (sqrt(198) + (-1*sqrt(198) + sqrt(198) - sqrt(198)))))\/sqrt(11))\/sqrt(6))**2 + (3*sqrt(27)*-1*-5)**2*1.\nAnswer: 6262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 21*b + 5. Let o be x(-3). What is the units digit of o\/(-7) + (-26)\/91?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -10. Suppose 27*s + 265 = 967. What is the second derivative of -20*r + s*r + 18*r**4 + 6*r**o wrt r?\nAnswer: 288*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 8*v**2 - 22*v + 70. What is the smallest common multiple of (-1 - 5)*(-2 + -4) and f(6)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661a (base 13) in base 8?\nAnswer: 33613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 48 = 4*d. Let q(j) = -j**2 + 11*j - 9. Let a be q(d). Solve -k - 4*k + a = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2. Let n(j) = -j**2 - 3*j - 1. Let a(o) = 30*o**2 - 6*o - 2. Let x(t) = -3*a(t) + 6*n(t). What is x(g(f))?\nAnswer: -96*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**6\/90 + s**5\/45 - s**4\/18 - 2*s**3\/9 - 4*s**2. Factor y(r).\nAnswer: 4*(r - 1)*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2052 times -0.3\nAnswer: -615.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/31499280 and 173\/1749960.\nAnswer: 31499280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(5000) + 4)*-2 - ((sqrt(5000) + 1 + 0 - sqrt(5000)) + -2))*-5)**2.\nAnswer: 25000*sqrt(2) + 500625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f + 2. Give k(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 546*p + 3886. Give h(-7).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 37620 divided by 12\nAnswer: 3135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 12:41 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -8. Suppose m - 2 = 6. Calculate the smallest common multiple of m and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -31 + -4?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -34\/16888635 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 365583708 to the nearest integer?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 4 - 164*y - 3 to z + j*y and give j.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 + 53. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*n**5 - 63077*n**3 + n**2 + 24181382*n wrt n?\nAnswer: -120*n**3 - 378462*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2892844 + 2968634 = -1166*r for r.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, m: 1, r: 1}. Give prob of sequence mr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*3\/(-6))\/((-2)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4901710263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2178.3057 microseconds in minutes?\nAnswer: 0.000036305095","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76090695.\nAnswer: 3, 5, 131, 38723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -0.570994.\nAnswer: 1.712982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -20. Suppose 5*l = 4*u - 3*u - 54, 3*u - a*l - 107 = 0. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u = -2253. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 20. Calculate the remainder when (0 + -2)*(-1 - (-117)\/(-6)) is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31394 = -7*d - 5*d + 3202. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 1906 = -1910, 0 = -4*p + 2*o - 92 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -6. Let c(z) = z**2 + 8*z + 9. Let s be c(t). Suppose s*g - 23 = 27. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j + j - 3*j)*(-12*j**2 + 2*j**2 - j**2 + (0 - 2*j + 0)*(-4*j + 4*j + j) + 3 + j**2 - 3).\nAnswer: -36*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 5*y + 37. Determine h(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1351 or -1361?\nAnswer: -1361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 62 + 68. Is 2 + ((-38387)\/(-138))\/((-1)\/q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31122904.85 rounded to the nearest one million?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2003893 and 105979.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 4:35 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*t + 106. Suppose -20 = 2*k + 3*k, -2*s + 5*k = -t. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 7. Suppose 0 = -0*s - 4*s + 84. Suppose 5*o + 4 = -s. Let q be u(o). Calculate the greatest common divisor of 1 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 1. Let x be s*(-1)\/(-11)*-2. What is the nearest to 1\/3 in -3, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, f: 4, v: 4}. Give prob of sequence fe.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3caa2 (base 13) to base 4.\nAnswer: 123303031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4\/3)\/((g\/(g*g**(-1\/2)\/g)*g)\/g))\/(g**3)**42 assuming g is positive.\nAnswer: g**(-773\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.6, 6\/11, -0.3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000030924414 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 14, m: 5}. What is prob of picking 1 m and 1 g?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**3\/10 - 8*o**2\/5 - 9*o\/2 + 81\/5 = 0. What is o?\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(2\/5))\/v**(2\/5)*v*v**34*v**(3\/8) assuming v is positive.\nAnswer: v**(1463\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -94*w**5\/5 + 69*w**2\/2 - 2*w - 73. What is the second derivative of c(x) wrt x?\nAnswer: -1128*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(4\/3)\/(l*l**(2\/27)*l*l)*(l**(2\/3))**(-17)*(l**(-1\/2))**(2\/15)\/(l**5\/l*l**8) assuming l is positive.\nAnswer: l**(-3394\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**2\/5 - 6171849*u\/5 + 6171846\/5 = 0.\nAnswer: 1, 2057282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 465750 a multiple of 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/1175 - 1172\/3525. Let u be (1 + -6 + 1)\/5. Which is the nearest to 1? (a) j (b) u (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -330336 less than -330336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-160)\/64*2\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/405*3)\/((-24)\/(-144)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3282995 is divided by 8849.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -5, 0.2 in descending order.\nAnswer: 0.2, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 65)*77\/(-154) - (2 + 2). Solve -o*a + 22 = 138 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*u - 256 + 101. What is the closest to -0.2 in -3\/8, u, -4, 2\/5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 2*d**2 - 2*d + 4. Let u be c(2). Let t be (-169)\/(-26)*(2 - u). Solve -5*l = 8 - t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a second in milliseconds?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -892082235+-5\nAnswer: -892082240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*n + 150. Let h = n - -30. Suppose h = -0*x + 7*x - 1645. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1530788889?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 1. Let a(m) = -3*m**2 + 2*m - 3. Calculate a(d) + 3*t(d).\nAnswer: -6*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)*c)**44*c*c**(-5\/3)*c*c\/((c*c\/((c\/(c\/(c\/((c*c**(2\/23))\/c))))\/c))\/c) assuming c is positive.\nAnswer: c**(-3019\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 49069019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8530926*i**3 + 8*i**2 + 187486 wrt i.\nAnswer: 51185556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7863 - -404.3137. Let g = -405 + u. Which is the nearest to g? (a) 4 (b) 3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 17) + (-15 - -4 - 1) + 5\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 548996*r - 3294026. Give n(6).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1043 is divided by 106?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/3 + 742*a**2 - 4459*a\/3 - 2228.\nAnswer: (a - 3)*(a + 1)*(a + 2228)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 51178*u**2. Let n(v) = -162*v. Give n(d(j)).\nAnswer: -8290836*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -7659, 1\/4, -1\/3, -1 in decreasing order.\nAnswer: 1\/4, -1\/3, -1, -7659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 387 and 3047926?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2619339\/383 - -6839. Let g = u + -30241\/3064. Find the common denominator of g and 17\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.1477 rounded to zero dps?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 9767184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -11, 14, 101, 280?\nAnswer: 581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 15) + 19 + (5 - 12) + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/4*((-1278)\/81 - -16). What is the nearest to v in -0.3, 3, -0.6, -1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o + o + 495 - 989 + 4*o**2 + 484 in the form z + j*o + s*o**2 and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 1. Let m(h) = 8*h**2 + h - 7. Calculate m(t) + 5*z(t).\nAnswer: 3*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 1\/5 (b) -0.2 (c) -7.594 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2548613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 17225190 divided by 3445038\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -23 (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -2023688.\nAnswer: -2023685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43050152204 - -295.\nAnswer: 43050152499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101111010101000010111 (base 2) to base 9.\nAnswer: 2823350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -207*h - 29 - 4 - 7 - 75 wrt h.\nAnswer: -207","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8096l in millilitres?\nAnswer: 1809.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 1:37 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1007 + -924. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6288.42 + 6231. What is m rounded to 0 decimal places?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 159 and 1113.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 - 6*m**2 - 20*m - 26. Let w be y(-2). Calculate the greatest common factor of 222 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - -85) + -56 - 63.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57200 and 551584.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(330)\/sqrt(11))\/sqrt(10).\nAnswer: -2 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*r + 41. Let j(l) = -26*l + 6*l + 28*l**2 + 0*l + r*l. Let d(v) = -5*v**2. Give j(d(z)).\nAnswer: 700*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 149 + -144. Suppose -5*m = d, -4*i - 5*m - 447 + 1842 = 0. List the prime factors of i.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.07824 + -0.0421. Let t = p - 0.0352. Round t to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -58.2 and -191992.\nAnswer: 11173934.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = 9*c + 40350000. Round c to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2, -2\/5, -642, -4180 in descending order.\nAnswer: 0.3, -2\/5, -2, -642, -4180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 63242718 minus 138?\nAnswer: 63242580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34010 - 10?\nAnswer: -34020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 35\/7459, 2, -5, -1 in decreasing order.\nAnswer: 2, 35\/7459, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2884854 to the nearest 10000.\nAnswer: -2880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 12*g**2 - 14*g + 32. What is the remainder when 56 is divided by p(13)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116 and 1015.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(3388) + 2 - (-2 + sqrt(3388) + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 212929 and 5041?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25.953 - -0.047. Let h = o - 25.947. Round h to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91646160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633921?\nAnswer: 3, 37, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -4, 1 in ascending order.\nAnswer: -4, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) - (-1 + sqrt(48) + sqrt(48))**2) + sqrt(36)\/sqrt(3).\nAnswer: -193 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3. Let c(q) = -5. Let t(y) = -5*c(y) - 8*h(y). Let i(x) = -x - 1. Determine -i(j) - t(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1417, -1418, -1419, -1420?\n\"Answer: -f - 1416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 4*z = 12, 0 = -3*c + 3*z - 12 + 15 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-744)\/2976*(10 - 6)\/(-39 + 2\/1).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 745\/3237 + 2\/3237. What is the smallest value in 0, 4, -3.48, i?\nAnswer: -3.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 19.5. Let b = 7 + o. Let x be (-7)\/(-6) + (-6)\/9 - -1. Sort b, x, 0.5.\nAnswer: b, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -1\/20*i**5 + 1\/24*i**4 + 1\/120*i**6 - 1\/3*i**3 + 0 + 0*i - 8*i**2. Determine p(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 136*l**2 - 149*l**2 + 16 - 17 - 37 - 20 to m*l**2 + a*l + g and give g.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-120)*-3*10\/(-4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 10 = 3*c - 2*v, 0 = -3*c + 2*v + 6. Let x(a) = -70*a - 70*a - 4 + 142*a. Let u(r) = r - 1. Determine c*u(j) - x(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 3:03 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 94\/6 + -527 + 512. Which is the second smallest value? (a) -2\/7 (b) i (c) 2 (d) -0.01 (e) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45*886\nAnswer: -39870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 + (-66)\/9 - 16\/6. Let v be 3 - 3 - (-243 - y)\/2. Calculate the greatest common factor of v and 180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 18*f + 63. Let q be i(-20). Solve -5*l - q = -3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -16 - 12. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 104*n**3 - 1273*n**3 - 8 - 9.\nAnswer: -1377*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(114)*4)\/((sqrt(33)*-2)\/sqrt(11)))\/(-6*1*sqrt(2)*-1*-6).\nAnswer: sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 15*z**2 + 3*z - 9*z - 7*z - 12*z = 0 for z.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrmmauxxnxxxarx. What is prob of picking 1 n, 1 u, and 1 a?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15747499 to the nearest integer?\nAnswer: 3968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/(-6) - (-1)\/(-6). Suppose -5*y = -2*x + 9, -3*x + 0 = 4*y - t. What is the units digit of (y*12)\/(9\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 855b68 (base 13) to base 9.\nAnswer: 5784151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6412 is divided by 124.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2042.44 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2794 = 4*f + 3*v + 2*v, 3*v = 4*f - 2778. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38065420*d**5 - 89541717*d**2 wrt d.\nAnswer: -2283925200*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -1\/2, -5, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -7*j + 3. Suppose 16 = b - m - j, 2*b - 37 = -m. Calculate the smallest common multiple of 15 and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-75 - -39)*2*3\/(-8) is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 9*c. Let v(u) = 0*u - 14*u - 19*u + 16*u + 2*u. Determine y(v(r)).\nAnswer: -135*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-9)\/12 + (-2115)\/(-30). Suppose 2*t + 51 = -49. Let m = t + n. Calculate the remainder when 43 is divided by m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28*s + 180 - 180)*(-5*s**3 + 8*s - 8*s) to c*s**3 + j*s**2 + a*s**4 + b + y*s and give a.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 380447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 870?\nAnswer: -2\/435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 4. Suppose -4*b = 4*y + 12, -3*b + 7 = 2*y - 3*y. Let p be ((-4)\/(-6))\/(y\/(-3)). What is the second smallest value in v, p, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, q: 9}. What is prob of picking 1 q and 1 u?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47\/4? (a) 8 (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (-8 + 33) - -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 737992*l + 737995*l - 4.\nAnswer: 3*l - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-1)*(12 + 258\/(-21) + 230\/(-28)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 398 + 363 + n - 717 - 25*n**3 + 0*n + 3*n**3 in the form h*n + q*n**2 + o + m*n**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/9))**(-27\/5)\/(g**(2\/11)*g**5)*(((g*g**5)\/g)\/(g*g\/g**(-1\/4)*g*g))\/((g\/((g\/g**8)\/g))\/g**4) assuming g is positive.\nAnswer: g**(-3527\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7990 and 116794060.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -4 - (-5 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s - 4. Let b be l(-6). Let p(r) = -2*r + 2*r**2 + b*r. Let k(d) = -2*d + 4. Let y(v) = -v + 3. Let t(u) = 3*k(u) - 4*y(u). Give p(t(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28631 by 482.\nAnswer: 28631\/482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 482177105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 3*u + 0*u)*(2 - 27 - 3)*(-u + 0*u + 0*u).\nAnswer: -28*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89278214 divided by -2.\nAnswer: -44639107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 358762171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**2 - 2*k + 24. Is j(-6) a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/277 (b) 5 (c) -2\/9 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -9*c. Let k(g) = 47566*g**2. Calculate k(u(i)).\nAnswer: 3852846*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a decade?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 44403?\nAnswer: -44403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3 + sqrt(162) + 1 - (sqrt(162) + -2 + 2 + sqrt(162))).\nAnswer: -9*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39368 and 744.\nAnswer: 3661224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.812 to 0 dps.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -0.1. Let m = 4 + i. Let g = m + -2. Which is the second smallest value? (a) -1\/2 (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1188*k**3 - 1463*k wrt k?\nAnswer: 7128*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**5\/48 + 5*l**4\/8 - 55*l**3\/24 - 81*l**2. What is o in d(o) = 0?\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10 + 12)\/(-1*1). Let q(g) = -7*g. Give q(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 + 8*b - 6. Let k(j) = -j**2 - 7*j + 5. Let l(n) = -9*n - 123. Let c be l(-14). Give c*k(g) + 2*f(g).\nAnswer: g**2 - 5*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -7*r**2 - 106*r - 198. Determine k(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - m = 763, 0 = -3*c + 4*m - 172 + 947. Suppose 13*g = 12*g + c. Calculate the remainder when g is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.43, 0.312, 10105.\nAnswer: -0.43, 0.312, 10105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0057 times 1.2837?\nAnswer: -0.00731709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 715776.2 millennia in centuries?\nAnswer: 7157762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -336509 times 5\nAnswer: -1682545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m + 0*m + m)*(0 + 0 - m) + 2*m**2 - 3*m**2 + 0*m**2 - 5*m**2 + 11*m**2 + 16*m**2 - 1 + 1 + m**2 to n*m + k + h*m**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**5 - 1054*y**4 + 19540*y**3 - 120440*y**2 + 280848*y - 219456 = 0. What is y?\nAnswer: 2, 6, 9, 508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -418.\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -857704\/5 + 56568539\/330. Let l = 8740\/33 - t. Let f = l - 371. Find the common denominator of 17\/9 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50.9 - -1898138941112.\nAnswer: 1898138941061.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(48\/(-8))*(-2)\/9*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -262088 to the nearest 10000.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (12\/8)\/(-1)*-16*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 24*k. Let v(o) be the first derivative of o**2\/2 - 208. Give v(p(b)).\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/((u\/((u\/u**(-2))\/u))\/u))**31\/((u\/(u*u*u**7\/u*u))\/u**(-1\/16)))**36)**46 assuming u is positive.\nAnswer: u**(334305\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010001011000101 + 111110000?\nAnswer: 111010010010110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -54*z**2 + 3809*z + 1863. Determine k(71).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 16*w**2 - 37*w - 20. What is n(-18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 6*j**2 - 4*j. Let w be v(5). Suppose -5*q - 5*s - 65 = -7*q, -3*q - w*s + 85 = 0. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 465*k - 12. Let u(s) = -20*s. Calculate m(u(f)).\nAnswer: -9300*f - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*m = -2387, 4*q + 45 = -3*m - 9518. What is q rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3236421884?\nAnswer: 2, 5419, 149309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.554 and -0.0361.\nAnswer: 0.0199994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 660.9+4361700160\nAnswer: 4361700820.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 - (2 + 1 + -1). Suppose 5*x = -2*b + 2*x + j, -5*b = 5*x - 15. Let y be b*3 - (4 + -5). Solve -5*i - 5 - 15 = 0, y*i = -2*p - 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31 or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 109347163\/32244 - 13565\/4. Calculate the common denominator of -63\/10 and p.\nAnswer: 80610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1134 - 2?\nAnswer: -1140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 12:18 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (7428\/(-621))\/4. Let w = 613\/828 - i. Suppose -1\/4 - w*a + a**2 = 0. What is a?\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1307.4 + -1307. Let l = 0.07 + -0.57. Which is the third smallest value? (a) l (b) h (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 963 divided by -111\nAnswer: -321\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21)\/7 + 5*1. Let t(h) = 8*h - h**d - 12 + 0*h**2 + 4. Give t(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*x**5 - 2*x**4 - x**5 + 3*x**4 + (4 - x - 4)*(2*x**4 - x**4 + x**4) + 2*x**5 - 3*x**5 - x**5.\nAnswer: 3*x**5 + x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 10*w)*(-6 + 6 + w) + w**2 - w**2 - 2*w**2 + (0*w - 2*w + 4*w)*(-2*w - 4*w + 5*w) + 5*w**2 - 3*w**2 - 4*w**2.\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63937 is divided by 312.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 18. Let h(y) = 12*y - 360. Let n(u) = -20*g(u) + h(u). Let o(f) = -12*f + 9*f - 11*f. Determine n(o(w)).\nAnswer: -448*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.0428 to one decimal place.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 4*r**2 + 7*r + 3. Calculate the remainder when 54 is divided by k(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*1*sqrt(40) - -1*sqrt(360))\/((sqrt(8) - 4*sqrt(16)\/sqrt(2)) + (sqrt(64) + (sqrt(64) - (sqrt(64) + sqrt(64)*-1)))\/sqrt(8)).\nAnswer: -8*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.44 + -12.9422. Let g = -0.907 - j. Let k = g - 0.59. What is k rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*o - 4 + 5 - 195*o + 0.\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = r - 17, 4*t - 29 = r - 2*r. Let l(y) = -6 + t*y + 4*y - 2*y - 7*y. Suppose 0 = g + g. Give l(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9, 35, 1713 in increasing order.\nAnswer: 0, 9, 35, 1713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10, -14, -18, -22?\n\"Answer: -4*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 8:10 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3304612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -2\/3, -2, -0.2, 23 in descending order.\nAnswer: 23, 4\/5, -0.2, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(10\/3)*d))\/d*d*d**(-2)\/d)**(21\/2)\/(d**3*d**(-8)*(d*d**(-6)\/d*d)\/(d\/((d**7\/d)\/d))) assuming d is positive.\nAnswer: d**(-121\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 8507006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10597604 is divided by 258?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 3*a + 1. Let y be r(-3). List the prime factors of (-2 - (-4 + y))\/(3\/1203).\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 5. Suppose -1 - 19 = -5*a. Let v(h) = -5*h**2 - 17*h - 6. Let t be v(-3). Put y, t, a in decreasing order.\nAnswer: a, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 129 = -0*n. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 14 = -j, -j + 16 = -3*f + j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aag when three letters picked without replacement from algaoapoaagaaaoaa?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/12)\/a*a**(-2\/9))**(-2\/5)*((a\/(a*a*(a\/(a*a*a**(-1\/4)*a))\/a))\/a)**(-12)\/(a**(-3)*a**7\/a) assuming a is positive.\nAnswer: a**(-1039\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a kilometer in meters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + 6 - (0 - 3). Let s(c) = c**3 - 5*c**2 + 3*c - 2. Calculate s(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.4 take away 20634?\nAnswer: -20623.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**6\/10 - 3*r**5\/5 + 3*r**4\/4 - 9*r - 119. Let i(p) be the first derivative of o(p). Factor i(v).\nAnswer: 3*v**2*(v - 3)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 519490 or 519487?\nAnswer: 519490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 761 is divided by 58.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -250 - -253. Suppose 5*o - 1165 = -5*b, 1115 = 5*b - 2*o - a*o. What is the highest common factor of b and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.528 - 15.432. What is z rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(2*(-10)\/(-5)*15\/(-60))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-2*(-2)\/(-10)). Suppose 0*q - 22 = 2*q. Let d = g + q. Solve d = -c + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2197788, 4395525, 6593260, 8790993?\n\"Answer: -t**2 + 2197740*t + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3)*q*q**(1\/3)*(q**(-1))**44*(q*q*q**(2\/3)\/q*q**(-5))\/((q**(1\/7)*q*q)\/((q\/(q*q**(-2\/7))*q)\/q)) assuming q is positive.\nAnswer: q**(-356\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 97*0.241\nAnswer: 23.377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 6 + -8 + (-1 - -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 3 + (-9 + 2 - (-6 + 3)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-90)\/(-25))\/(3\/80). Let a = -8 + 20. What is the highest common divisor of a and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 19*t + 5. Let y(l) = -10*l - 3. Let g(u) = 3*s(u) + 5*y(u). Let c(q) = 8*q. Let v(j) = 6*c(j) - 7*g(j). Let h(k) = -3 - 9*k + 3. Determine h(v(o)).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2494695 is divided by 3186.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 721.0122 millilitres to litres.\nAnswer: 0.7210122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 916316 and 6094.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -17618 divided by 3888\nAnswer: -8809\/1944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**5 + 20*w**4 - 36*w**3 - 212*w**2 + 32*w + 192 = 0.\nAnswer: -4, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 0 - 2*y**2 - 5 as g*y + b + p*y**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 136127886 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in -0.5, 0.45, -3, -5, 2003, -0.4?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 930 at most as big as 931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*n = 154*n - 825 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5*q = -35, 32*q - 15 = 37*q. Sort v, -5, 208 in increasing order.\nAnswer: -5, v, 208","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**5\/7 - 5174*d**4\/7 - 10338*d**3\/7 + 5174*d**2\/7 + 10340*d\/7 = 0. Calculate d.\nAnswer: -2585, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3090078 and 1030026.\nAnswer: 3090078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*h - 14 - 18, 4*l + h - 8 = 0. Suppose 0 = 5*u - l*b + 37 - 462, -5*u - 3*b = -395. List the prime factors of u.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 435*k - 2612. Give n(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 1992.\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -50318 less than 4921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (23 + -3 - 11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/16))**(-16) assuming h is positive.\nAnswer: 1\/h","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, n: 1, v: 8, u: 4}. Give prob of sequence nuvu.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51938*v + 51936*v - 103761*v.\nAnswer: 113*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 11 - 1 = 0. Suppose -4*i - t + 1 + 135 = 0, -5*t = q*i - 120. Suppose 5*g = 5*j - i, 4*g + 8 = 2*g. Solve 2*v - 20 = -j*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38288.17l to millilitres.\nAnswer: 38288170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2488878*-33\nAnswer: -82132974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 7775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 1458 - 7*b**3 + 135*b**2 + 1\/8*b**4 - 972*b = 0. What is b?\nAnswer: 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2 + 12 = 0. Let s be 5 + -3*(-6)\/9. Let t be (-6)\/14 - 2\/s. Which is smaller: b or t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3 - 2 + 663*c.\nAnswer: 663*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4543494?\nAnswer: 2, 3, 457, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4*c + 3)*(1 - 1 + 2) + 2*c - 2*c - 3*c.\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367219 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - m + 3. Let s be c(0). Suppose s*w + 1842 = 5*g, 3*w - 8*w = -5. Let u = -220 + g. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 10*h**2 + 55*h + 96. What is q(14)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-37)\/6*1100\/(-175). Let v = -47443\/1218 + b. Calculate the common denominator of v and -5\/2.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -456 + 652. Calculate the greatest common factor of k and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 382 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3397076251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 372281 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x + 5*x - 1 - 26*x + 16*x. Let q(s) = -s - 41. Give 3*i(z) + q(z).\nAnswer: 2*z - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4407\/23873 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 92 + 115. Let z = -142 + q. What are the prime factors of z?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6.1, -2, -30\/11, 12 in decreasing order.\nAnswer: 12, -2, -30\/11, -6.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x**2 + 2 - 3*x**2 - x - x - 2*x. Let n be h(2). Calculate the greatest common divisor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -345, -784, -1389, -2154, -3073?\nAnswer: -4140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-11)\/(6732\/(-1590))*(-3)\/(-90) and -35\/272.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -84830*h**2 + 42415*h**2 + 42417*h**2. Suppose -5*w + 2*y + 12 - 4 = 0, -w = 2*y - 4. Let s(f) = -4*f**2 + 4*f**2 - w*f**2. Calculate g(s(v)).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113033 (base 5) to base 10.\nAnswer: 4143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(57)*5)\/sqrt(3).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*x = 53*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14233275 rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(245)*2 + 5.\nAnswer: 5 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-7) + (316\/(-28) - -11). Let h = o - -25. Which is smaller: 27 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f + 6. Let h(t) = -2*t - 8. Let c be h(-10). Calculate the remainder when (-2)\/c + 183\/18 is divided by k(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-10)*6\/(-1). What is the highest common divisor of v and 750?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*r**3 + 25*r**3 - 43*r**2 + 43*r**2.\nAnswer: 45*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -860, -861, -862?\n\"Answer: -l - 859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44702142 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 q when three letters picked without replacement from xxxqxxxqxxxqxxx?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 175252 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**3 - 11*i**2 - 15*i - 21. Let d(x) = x**3. Let t(g) = -3*d(g) + f(g). What is the remainder when 144 is divided by t(-10)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 16. Suppose -4*q = -m*q - 370. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.4 (b) 3 (c) 2\/13 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*f - 4*p, -f + 2 + 6 = 5*p. Let o be 1 - -18 - (0 - -3). Suppose -5*q = s - 2*q + 14, 4*s + 2*q + o = 0. Put f, 2, s in decreasing order.\nAnswer: f, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/34 and -71\/38.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/3 (b) 25306 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.2 + -20.2. Put o, 0.5, -1, 2\/13 in decreasing order.\nAnswer: 0.5, 2\/13, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 4*l**2 - 5*l + 4. Let c be m(3). Let y = -2 + c. Is (-2)\/9 + y\/(-18) - -571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1959?\nAnswer: 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 30*p**2. Suppose -3*m - 2*a + 20 = 0, 3*a = 1 + 2. Let t(q) = m*q - 14*q + 11*q. Determine n(t(s)).\nAnswer: 270*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 6*k**2 - 8*k - 9. Let l be n(-7). Put 13, l, 3 in increasing order.\nAnswer: l, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.83 + 1.73. Sort 1\/2, 17, -1\/4, i in ascending order.\nAnswer: -1\/4, i, 1\/2, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5*h - 5 = 0. Let u = -14\/15 + h. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 not equal to -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5343421 (base 8) to base 16.\nAnswer: 15c711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -18, 42, 3 in ascending order.\nAnswer: -18, 3, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 2*a - 2*a + 2*a. Let q(o) = 8*o. Determine x(q(z)).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 34 = 25. Let c be 2\/a*6\/2. Solve -c*n + n + 3*w + 5 = 0, -3*n + w + 15 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*o - 6. Suppose -104 = -o*h + 76. What is the lowest common multiple of 30 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -1101110?\nAnswer: 1101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3, -14, -53, -132, -263, -458?\n\"Answer: -2*r**3 - 2*r**2 + 9*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -14. Suppose 4*j + x = 11. Find p, given that -3*p**4 + 6*p**j + 7*p**2 - 3*p**2 - 4*p**2 - 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/14)\/l*l**(-1)*l)\/(l*(l**1\/l)\/l*l*l\/l**6))**(9\/2) assuming l is positive.\nAnswer: l**(369\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1082910 at most as big as -42233501\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n**3 + 2*n**2 + n + 1. Let v = -87 + 89. Give j(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from {z: 1, i: 13, q: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 515, 1025, 1533, 2039, 2543?\n\"Answer: -r**2 + 513*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 122*n - 119*n + 30, 0 = 4*o - 2*n - 28. Solve 3*t - q = -o, 18*t - 17*t + 3*q = -8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*h + h = 34, -2*h = 6. What is the remainder when 61 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1984997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21958, -43807, -65646, -87463, -109246?\nAnswer: -130983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 132\/(-110)*2\/8*-6?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4075 - b68?\nAnswer: -5021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -15*n**2 - 14*n + 186. Calculate j(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1786, 5, -7.\nAnswer: -1786, -7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4890 + -4890.5. Let j = -0.66 - -0.7. Let u = j - 0.07. Put x, u, -0.4 in ascending order.\nAnswer: x, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 103*l**2 + 10*l + 48. What is the hundreds digit of k(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/3)\/(1\/(-6))*-4. Suppose a*c + 15 = 3*c. Let x = 0 + 0.5. What is the third smallest value in 5, x, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12968 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 0*y + y - 2*y + 8. Let k(c) = c**2 + 8*c - 26. Let m be k(-13). Suppose -4*t + m = 23. What is s(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*f**3*j*m - 2*f**3*m + 11781*f**3 - f**2*j - 20279*f*j*m wrt f.\nAnswer: -42*j*m - 12*m + 70686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**2 - 30*y + 18. Let q be v(7). Put -108, 0, q, -4, -5 in increasing order.\nAnswer: -108, -5, -4, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 9 + 23. Suppose -5*k = z + 1, -2*k + 1 = z + k. Suppose -z*q + 20 = q. Calculate the highest common divisor of c and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -685 - -2b808?\nAnswer: 2b143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2. Let x(w) = -7*w**2 + 10*w + 7*w - w**2 - 16*w. Let j(m) = -17*k(m) - 6*x(m). Factor j(a).\nAnswer: -3*a*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -441591665, -441591662, -441591659?\n\"Answer: 3*a - 441591668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*i**3 - 2137*i**2 - 53448*i wrt i?\nAnswer: -90*i - 4274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 2471 = 3*p. What are the prime factors of p?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30223 (base 4) in base 9?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 - 10*p + 15. Let m be v(3). Solve -j + 6 = 3*o - 5, 3*o - 9 = -m*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/n**(-19)*(n**(-2\/19)\/n)\/n assuming n is positive.\nAnswer: n**(359\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000101100010000011 (base 2) in base 14?\nAnswer: 75b11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0030202407 to six decimal places.\nAnswer: -0.00302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 2*j - 7*j)*(0 + 0 - 3*j) + j**2 + 3*j**2 - 5*j**2 + 2*j**2 + j**2 + 9*j**2.\nAnswer: 23*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014536 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -1 - (-149 - -154)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 1:37 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/8)\/((-2)\/(-8)). Let s be (11 - 11)*(-1)\/2. Suppose 0 = -29*o + 14*o + 30. Solve s = o*t + 1 - m for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*i - 10, -5*i + s = 5*s - 11. Calculate the lowest common multiple of 2 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270 and 378?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 692944.5 tonnes to micrograms.\nAnswer: 692944500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -19*j**3 + 2*j**2 - 2*j + 1. Let d = -78 - -79. Suppose 0 = 2*u - 2*q + 1 - 3, u = -3*q + d. Determine c(u).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -107 - -101. Which is the fifth biggest value? (a) 11\/5 (b) s (c) 2\/15 (d) 5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 11:39 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19152 divided by 399?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (5 - (22 - 14)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (309 + 451 - 12)*(2*w**4 + 0 + 0) to o + j*w + q*w**2 + d*w**4 + r*w**3 and give d.\nAnswer: 1496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 209 - 206. What is the second biggest value in -1\/3, u, -4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -102*k**2*w**3 - 46130*k**2*w**2 + 29390*k*w**3 - 193*w**3 wrt k.\nAnswer: -204*w**3 - 92260*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -74137 divided by -74137?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18770604 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j + 56. Give t(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 + 14*c + 10. Let m be n(8). Let f be (7\/(-28))\/(1 - 3\/m). Let z(o) = -o**2 - 6*o - 3. Let g be z(-6). Sort -2\/5, g, f.\nAnswer: g, -2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a. Let p be c(-1). Let x = 2379 + -2382. Sort x, -5, 5, p in descending order.\nAnswer: 5, p, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 2 = 2*p, p - 221*w - 2 = -224*w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -65*t**2 + 29*t - 5*t**3 + 3035 + 16*t - 1010 = 0. What is t?\nAnswer: -9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) -1 (b) -4 (c) -3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((-2)\/(-1)) - -5. Let c be 4\/3*6\/t. Suppose 5*s - 33 = c*s. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 2:24 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**8\/10080 + a**7\/252 - 5*a**6\/72 + 25*a**5\/36 + 19*a**4\/12 + 13*a. Let w(z) be the third derivative of x(z). Factor w(t).\nAnswer: -2*(t - 5)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 11. What is n(-12)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1527 (base 10) in base 13?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 - (2 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**2 - 4*h**2 - 15341466 + 15341466.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1, 17, 55, 119, 215, 349, 527, 755?\n\"Answer: d**3 + 4*d**2 - d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -11*k - 988. Let q be o(-92). What is the greatest common factor of q and 636?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 228\/15*-2084 + (-1242)\/135 + 9. Is -31677 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 81\/(-18)*32\/(-6). Suppose 5*g = 2*y - w, -3*y + y = g. Let s = -131\/196 + -4\/49. Sort 0.5, g, s in ascending order.\nAnswer: g, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(567 - 567 - 163*q**3).\nAnswer: -326*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 3. Let q be g(6). Let v(h) = h**2 + h + 1. Let k be (1\/2 - 1)*-2. Let s(c) = 4*c**2 + 5*c + 3. Give k*s(w) + q*v(w).\nAnswer: w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(1\/4)*c)**(-19\/4)*(c*c**(-1\/6)*c)**(-25) assuming c is positive.\nAnswer: c**(-2713\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2205 = 8*v - 1403. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**3 + 6425*z**2 - 317040*z + 3839040 = 0.\nAnswer: -1333, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 16 = -4*r, 2*k - r - 55044 = -55038 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000111110100011 - 1000000?\nAnswer: 101000111101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, p: 2, a: 5}. Give prob of sequence pp.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.7 and 1827.515.\nAnswer: 1828.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1871 (b) 1092 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -381, -1036, -1967, -3174?\nAnswer: -4657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 32*v = -144 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 6. Let g(x) = 2*x**k + 4 - 4. Let v(u) = -4*u. Give g(v(l)).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k**3 - 2*k**2 - 2*k + 5. Let g(p) = -p**3 - 1. Suppose -2*u = 8, 5*a + 5*u = 29 + 26. Suppose 0 = 3*d - a + 12. Determine d*x(c) + 5*g(c).\nAnswer: -c**3 - 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 7:35 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -y + 7 - 17, -15 = -3*w. Suppose y = -3*o - 3*d + 1 + 41, 0 = 2*o + 4*d - 38. Calculate the smallest common multiple of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 18*q. What is r(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14507, -29256, -44497, -60476, -77439, -95632, -115301?\nAnswer: -136692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a9189 (base 14) in base 9?\nAnswer: -2712711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**5 + 15948*j**4 + 12897612*j**3 - 5998119212*j**2 + 521168260512*j + 7816751581392 = 0. Calculate j.\nAnswer: -2166, -13, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1278, -1155, -950, -663?\n\"Answer: 41*v**2 - 1319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**6\/120 + p**5\/60 - 11*p**4\/6 - 3*p**3\/2 + p**2 - 44. Let t be a(-7). Solve t*q = 25 - 20 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z - 4. Let m be s(4). Suppose q + 2*q - 2*r = -9, r - m = 5*q. Is q\/4 - 745\/(-20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12143 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: Is 1 smaller than -1\/392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0*j + 815 = 0. Suppose j + 77 = 4*i. Calculate the highest common factor of i and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 12:41 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 3) to base 2\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*k - 350*k. Which is the biggest value? (a) 2\/17 (b) 0.9 (c) k (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -468*k + 42 = 3*a - 477*k, 2 = -3*a - k - k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1100 = -242*r + 134 - 3632 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-310)\/1581*34*-18*12\/40?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 2 - 1)*(5*c + 1 - 1) to the form u + j*c and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 3543109.\nAnswer: 9\/3543109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 e when three letters picked without replacement from {g: 9, d: 2, q: 3, e: 4, x: 1}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*p + 8*p. Round p to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 24737.61 meters?\nAnswer: 24737610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3. Let k(l) = -l**2 - 6*l - 19. Let y = -232 + 236. Let v(o) = y*c(o) - k(o). What is v(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -33*w**3 - 3*w**2 + 7. Let r(v) = 11*v**3 + v**2 - 2. Suppose -166 + 196 = -15*f. What is f*u(o) - 7*r(o)?\nAnswer: -11*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r**3 - 2*r**2 + 2*r + 1. Let j(g) = -6*g**3 + 2*g**2 - 2*g. Determine -3*j(b) - 4*v(b).\nAnswer: -2*b**3 + 2*b**2 - 2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1677 = 3*o + 300. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*o + 1 + 13 - 165*o - 14 to the form x*o + k and give x.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -956505169 + 956505068.0000043. Let z = -101 - u. What is z rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454776823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -45591 and -9.\nAnswer: 410319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/4 + 1311\/(-30))*-5?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.32928 and 10843?\nAnswer: 10843.32928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 184*w**3 + 6*w**2 - 11*w - 6. Let d(r) = -207*r**3 - 5*r**2 + 10*r + 5. Calculate -5*a(p) - 6*d(p).\nAnswer: 322*p**3 - 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 13 = v - 2, 24 = 2*s - 3*v. Calculate the remainder when s is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5006*o - 9. Let p(s) = 25030*s + 50. What is -11*d(f) - 2*p(f)?\nAnswer: 5006*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5 - 1 - 2)*(2 + 1 - 1) - 2 + 0 + 1 - 4 - 2 + 5 + 5181 + 546 - 394)*(2 - 3 + 3*i**3 - i**3) to the form b + o*i**3 + d*i**2 + q*i and give o.\nAnswer: 10670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2264 (base 11) to base 15\nAnswer: -d34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of d**3\/3 - 13*d**2\/2 - 14*d + 1. Suppose -388 = -21*x - 10. Is 20 a factor of b(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64248 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**5\/4 - 17*z**4 + 99*z**3\/2 - 49*z**2 + 65*z\/4 = 0.\nAnswer: 0, 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19363?\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4557 - 4173. Solve 378*v - x*v = 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)*h**7)\/((h**(3\/13)*h)\/((h\/(h*h**(-7)))\/h)) assuming h is positive.\nAnswer: h**(140\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-4))\/(s**(-5)*s*s*s))\/(s\/s**(4\/3)*s\/(s*s**(2\/27)*s)))\/(s**(-5\/3)*s\/s**1*(s**(2\/7)\/s)**(-1\/43)) assuming s is positive.\nAnswer: s**(81737\/8127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a - 8. Let z(g) = 4*g + 8. What is 3*t(s) + 4*z(s)?\nAnswer: s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2642651 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.333, -27, -454?\nAnswer: -454","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-5 - -3) - (0 + 2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -98*k**4\/3 - 1993390*k**3 - 8257892*k**2 - 22454720*k\/3 - 1952576 = 0.\nAnswer: -61018, -3, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*o = 0. Let i be (o - -6)*(-2)\/(-3). Let d be 8*13\/(-13) - -11. Solve d*a - 2*c - 11 = 0, c - 28 = -i*a - 3*c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-34 - (-4981)\/153)*9\/(-1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-295)\/(-118))\/(5\/26) - 8. Let s(y) = -y**3 + 3*y**2 + 2*y - 2. Let g be -2*1\/4*-6. Let w be s(g). Solve -2*b + w*t = q + 1, 5*b = t + 21 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((60\/21)\/(-5))\/((-18)\/(-21))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112, 404, 906, 1618, 2540, 3672?\nAnswer: 5014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 17 = 2*b - g, 11 = 2*b + 5*g. Suppose -5*v + 2 = -b. Suppose 4*r - v*r + 74 = 5*z, 3*z = 4*r + 58. Calculate the remainder when 40 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - -3 - 0 - -1. Suppose 2*p - 1 = 3. Suppose p*t = -t. Solve u + 5*b + 9 = -z, t = -4*u + 2*b - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*p - 6*p - 10*p + (1 + 5 - 4)*(-2 + 2 - 2*p))*(1 + 2 - 1) + (4 + 8 + 0)*(3 - 1 - 3)*(p - 5*p + 2*p) in the form f*p + m and give f.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7013\/1719 + -6\/191. Let b = c + 499\/117. Let l be 2\/(-2) - 49\/(-63). Put b, l, -0.4 in increasing order.\nAnswer: -0.4, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19.924 - -0.076. Let b = -18.8 + d. Which is smaller: b or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -214428621 from -651.\nAnswer: 214427970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87703, 350816, 789337, 1403266?\nAnswer: 2192603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 833, 1664, 2495, 3326?\nAnswer: 4157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2010121 - -21?\nAnswer: 2010212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 385 - 1?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4242.09804 - 4242. Round t to three dps.\nAnswer: 0.098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 11. Let i = p - 0.2. Let w be 1*6\/9 - 0. Which is the second smallest value? (a) 1 (b) i (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a = -5*p - 13, 22 = -4*a - 2*p. Let t = 17 + a. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 677867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -20. Suppose w + o = 2*d, 0*w + 3*w = d - 9. Suppose 4*p - 47 = -0*p + t, d*p - 27 = -2*t. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 0 - (-1 + 2 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - (sqrt(112) - sqrt(112)*-1)\/sqrt(8) - sqrt(14))\/(sqrt(6)\/(sqrt(3)*2)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**3 - 6*s**2 - 4*s + 1. Let i(f) = -3*f**3 + 13*f**2 + 9*f - 1. Let q(v) = 3*i(v) + 5*w(v). Let x be q(-8). Is 6\/x - (-252)\/5 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -1213*y - 1414. Give d(-3).\nAnswer: 2225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-1)*34\/136. Find z, given that -z**4 + 0 - 4\/3*z**5 + 5\/3*z**n - 1\/3*z + z**2 = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 + 636 + 5*q**3 - 28*q**2 + 54*q**2 - 26*q**2.\nAnswer: 2*q**3 + 636","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13371\/35656 + 1*(-181)\/(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 0*w - 12. Suppose 11*x - 3*x = -56. Let v = w - x. Solve -u = -2*u - z, v*z = u + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-9) + (-34)\/153.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62492368 and 181488.\nAnswer: 187477104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8067 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20210 + -1012002121?\nAnswer: -1011211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 6*j**2 - 4*j - 1. Calculate the remainder when 45 is divided by l(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 85632294 = -6*y + y, -5*v - 107040372 = 4*y. Let n = v - -31308076. Round n to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/15 in 14, 85\/3, -3\/5, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*n*p*u**3 - 57*n*p*u**2 - 21*n*p*u - 160*n*u**3 - n*u + 5*p*u**3 - 2*p*u**2 wrt u.\nAnswer: 30*n*p - 960*n + 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25770138 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (-11 - 6 - -3) - 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 6 - (0 + 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 divided by 1?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**9)\/r)**(-19)\/(r**(-4\/9)*r\/(r**22\/r*r)*r) assuming r is positive.\nAnswer: r**(1723\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000585303 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2785680 divided by -2385.\nAnswer: -1168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 4 + (-1 + 1 + 1)*(0 + 0 - 1))*(w**2 + 4*w - 4*w)*(-5*w + 23 - 23) in the form i*w + g*w**3 + j + f*w**2 and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16199.\nAnswer: 97, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + (-123 - -148) + -30.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -11*z**4\/12 - 7*z**3\/3 - 3*z**2. What is the first derivative of r(b) wrt b?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94104037 + -5\nAnswer: 94104032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5804 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18072)\/(-196533)*3\/(-8)*2.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**3 - 756*z**2 + 33938*z - 175980 = 0. Calculate z.\nAnswer: -419, 6, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-13))\/((-120)\/(-57)). Let h = -2\/65 + k. Let s be 4\/20 + -1 + (-18)\/(-15). What is the smallest value in s, h, 2\/13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 549635 or 549636?\nAnswer: 549635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -12. Suppose -j*p = -9*p - 30. Let l(c) = -4*c + 1. What is the remainder when l(-2) is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.15 - -3.15. Let k = -4.01 + 0.01. What is the third smallest value in k, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*a = -78*a - 78*a - 1696 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02748*0.296.\nAnswer: -0.00813408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -4*z + 15 + 9, 88 = -153*w + 158*w + 2*z for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 82*w + 200. Let a be f(0). Calculate the greatest common divisor of 16 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 18) + -5 + 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - (1 - 5))*1\/1. Put 6, 5, 1, a in decreasing order.\nAnswer: 6, 5, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 10*d**2 + 12*d + 1. Let x be j(9). Let k be (-24)\/x*(-6 + -1). Suppose c - k = -4. Solve -q + 16 = -4*b, 2 = -c*b - 5*q + 16 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 + 209\/4. Let i = 0.8 + 0.1. Let t = i + -0.9. What is the nearest to t in 1\/9, v, -2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 - j**3 - j**3)*(-j**2 + 0*j**2 + 2*j**2) - 6*j**5 + j**5 - 3*j**5 + (7 - 110 - 176)*(4*j**5 + 0*j**2 + 0*j**2) - 3*j**5 + 5*j**5 - 3*j**5.\nAnswer: -1124*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 229 + -225. Solve -5*i = -1 - l for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 4*r - 4*r)*(38*r + 14*r + r)*(3*r**2 - 6*r**2 + 2*r**2).\nAnswer: 265*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -5*g + 5*u, 3*u + 0 = -2*g + 7. Is g > -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 48*u**2 - 83*u - 20. Let o be n(46). Suppose l = -o + 913. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 33 + 22?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -241*y - 2255. Let l be d(-10). Solve 6*o = -161 + l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*(o\/o**7)\/o)\/o)\/(o*o**2))**(-3\/2)*(o**(-1\/6)*o**(1\/5))\/(o**(1\/4)\/o**(1\/7)) assuming o is positive.\nAnswer: o**(5639\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-3 + (-568)\/(-200))*25600. Round m to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3593678042 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-217)\/(-5) + (-8)\/20 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3454 + -3454.00007158. What is g rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmfmmfm. Give prob of sequence fmmf.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mymyjmymyymjjyj. Give prob of sequence mj.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*v + 5*o - 23, -4*v + 5*o = 21. Let i = 18 - 18. Let k = i - v. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1945 + -1939. Solve 14 = i*a + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 91573.35 micrometers?\nAnswer: 91573350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000329582 to seven dps.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3261 + -3265. What is the third smallest value in -7, 1, -1, d, 37?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1339344 and 1048?\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537528764 is divided by 736.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2. Let n(y) be the second derivative of 16*y**5\/15 + 2*y**2 - 4*y + 17. Let o(m) be the first derivative of n(m). Calculate x(o(f)).\nAnswer: 8192*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7465 - 7387. Which is the nearest to -2? (a) 0.2 (b) -5 (c) y (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(0 + 3 - 2). Let c(f) = 5*f**3 + 3*f**2 + 2*f + 1. Let y be c(-1). Is p less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 2*g - 14 = -g, -5*g + 5 = -5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/4068 and 13\/678?\nAnswer: 4068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*g - 126279 = 78*g. Suppose -15*h + g + 303 = 0. What are the prime factors of h?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s + 0*s**5 - 6 - 5\/6*s**3 - 1\/21*s**7 + 0*s**2 + 1\/30*s**6 + 5\/12*s**4. Find the third derivative of x(f) wrt f.\nAnswer: -120*f**2 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1 + 2.3. Let x = -11.6 - y. Let i = x - -13. Which is the biggest value? (a) 3\/4 (b) i (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -a, -2*a - 3 + 1 + 5 = -3*w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-341 - 226 - 742 + 143)*(4*i - i + i).\nAnswer: -4664*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.4 - 79.4. Let r = k + 77.6. Let h = 0.73 + -0.43. What is the nearest to -0.1 in 2, h, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/7, 0.4, 2.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3383*w + 890 = 3205*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 8*b - 15. Let d be o(12). Let n = 101 - d. Solve c - 5*c + n = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5492891419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-226)\/88)\/((-33)\/142). Let o = 14\/121 + m. Find the common denominator of -67\/6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 862610 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -7 + (7 - 13) - -7704?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9482491 = 8*k - 9482779 for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) -5 (c) 0.07 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 894 a factor of 16915374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/2*104\/(-130) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**4 + 1305*h**3 - 2590*h**2 = 0. What is h?\nAnswer: 0, 2, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**5 + 0*o**5 + 3*o**5 + (-1 + 2 + 1)*(-52*o**5 + 15*o**4 - 15*o**4) + 134*o**4 - 134*o**4 - 47*o**5.\nAnswer: -150*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**3 + v**2 + 2*v + 1. Let a be g(-1). Suppose 19 + 8 = -a*r. Is -9 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 31 - (-3 + (-10 - -47))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 19*o**2 + 875*o + 46. Let q be z(-46). Solve 15*k - 2*k + 52 = q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 262 + -73.74919.\nAnswer: 188.25081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 182?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69.07 * -366.\nAnswer: 25279.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 279 = 281, -2*u + 6 = j. Which is the nearest to 2\/7? (a) 3 (b) 0 (c) -212 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*sqrt(11) + 0.\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94507 is divided by 534?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10\/85 + (252\/(-105) - 13077\/(-255))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 7*n + 11. Let v be g(4). Let q = 25 - v. Differentiate 13 + 3 + 27*x**4 - q - 14*x**4 wrt x.\nAnswer: 52*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 359329, 718679, 1078031, 1437385?\n\"Answer: w**2 + 359347*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-6)*(6\/25)\/((43758\/260)\/33)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.6 - 3.1. Put 3, d, -1 in ascending order.\nAnswer: -1, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 26*d**2 + 75*d + 601. Give k(-28).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -18.2. Let x = -2.9 + 0.9. Which is the third biggest value? (a) x (b) j (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 528886465 to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 4*b - 15. Calculate the remainder when b is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 20194.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3829 + 1783 = 62*h for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 252606?\nAnswer: 252603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4 + 24*w**3 - 82*w**2 + 60*w = 0 for w.\nAnswer: 0, 1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -78.61 - -78.71. What is the nearest to 5 in -4, 2\/11, c, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 92.81042 centimeters?\nAnswer: 0.9281042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 39*a + 212. Determine z(-35).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 9*y**2 + 25*y + 4. Calculate h(11).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*h + 40 = 90*h. Solve 4*p + h = 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 + v**2 - v**2 - v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7157780353.\nAnswer: 47, 152293199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = k - 5*m - 149, -521 = -4*k + m. Suppose k - 417 = -6*p. Is 24 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72*q**3 + 25107700*q**2 + 2188877778304*q + 121604243524.\nAnswer: 4*(q + 174359)**2*(18*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 - 2*m - 231. Give o(12).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**4 + 616 - 621 + 4*a**2 + 2*a**2 - 2*a in the form z*a**3 + b*a + j*a**4 + h*a**2 + c and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3\/11 + 772*l**2\/11 - 190082*l\/11 - 198332 = 0. Calculate l.\nAnswer: -554, -11, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 9:22 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 50501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -20377, -0.5, 1\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**5\/10 - 129*k**2. Let v(g) be the first derivative of -5*g**3\/3 + 10. What is v(f(r))?\nAnswer: -180*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/34)\/((-7)\/(-14)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -8. Is r smaller than -5\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15033024 (base 6) in base 15?\nAnswer: -a362d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-48)*-1*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (-2 - (0 + -1)). Suppose 0 = k + r*k - 10. Suppose -170 = -3*p - 0*p - 2*f, 95 = k*p + 5*f. Is p a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 22 = 43*r - 45*r, -4*o = 2*r + 26 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 at most as big as 328\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 121 - 123. Let r(w) = -17*w + 0*w + w. Let p(m) be the first derivative of 3*m**2\/2 - 1. Give d*r(i) - 11*p(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**3\/2 - s**2 - 3*s. Let x be j(7). Suppose -3*u = -x - 134. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = j + u + 2, -3*j - 5*u = 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 366.35 * 18.8.\nAnswer: 6887.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63.9 + -4.9. Let x = h + -103. Let j = x - -49. Which is the biggest value? (a) j (b) -6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -5*g + 3*g + 6, 5*m - 3*g = 35 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-7)*d**(-7)\/d*d\/(d*d*d\/d**(4\/7))*d**(-5)*d assuming d is positive.\nAnswer: d**(-38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 2 + (-10)\/((-80)\/24). Solve 4*b + 6*t - 28 = 2*t, q*b + t - 19 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49 - -259)\/(-21) + 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y = -109 + 409. Solve -i - 4*k - k + 20 = 0, 2*i + y = 5*k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o + 442 - 509 = -5*b, -95 = 5*o - 4*b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 500 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 11161356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1041 + 2651.5. What is b rounded to the nearest 100?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 1526309346.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 5:14 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -570572, -1141102, -1711632, -2282162?\n\"Answer: -570530*q - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1261185 is divided by 3664?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -210 + 270. Let u be 2\/10 + b\/(-50). Suppose -2*w + 4*q - 16 = 0, 0*q + 18 = -3*w + 3*q. Sort u, 2, -6, w in decreasing order.\nAnswer: 2, u, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -7 + 2 + (-3 - -3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2170 and 2666.\nAnswer: 93310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-11) + 4856\/(-88). Let r = j + 23. Let p be r\/(-7) + 4\/(-7). Solve -4*y = -4*t + 4, -p*t = -2*y - 0*y - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2137 is divided by 38?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1285 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((r - 2*r - 2*r)*(5 - 1 - 2) + 0*r + 0*r + 5*r)*(4 - 4 + 3*r)*(0*r**2 - r**2 - 2*r**2).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/6630279 and 52\/939.\nAnswer: 6630279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 162 + -139. Suppose -m - 21 = -11*f. Solve -o = f - 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 48. Let d be 12426\/a + 16\/(-72). Let p = d + -254. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -16. Let p(t) = 4*t - 19. What are the prime factors of p(o)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -13*r + 1\/6*r**3 + 0 - 4*r**2. Calculate f(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/8 (b) -3\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 - t**3 + t**3)*(186 - 39 + 34).\nAnswer: -181*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 469222*n**4 + 9*n - 26821500?\nAnswer: 1876888*n**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 3361?\nAnswer: -3357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30871054?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/11 in -2\/3, -317, -3, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**2 - 1354367*g + 451456 = 0?\nAnswer: -451456, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((2 + 4 - 0) + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 3 = 27. Solve -15 = g*c - 2*p, 5*c + p = -p - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22032)\/(-85))\/(-8)*170\/102?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -43829*s**4 + 2772*s**2 + 702*s**3 + 2760*s + 21913*s**4 + 21919*s**4 = 0. What is s?\nAnswer: -230, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116313 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yeye when four letters picked without replacement from {y: 9, n: 8, e: 2}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60 + 2?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149740, -149093, -148446, -147799?\nAnswer: -147152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 86\/5 of a second in milliseconds?\nAnswer: 17200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 886 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 5*a**4 + 70*a**3 + 245*a**2 + 180*a = 0.\nAnswer: -9, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 738*f - 1194*f + 0 - 458*f.\nAnswer: -2390*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -2 - (-9 - -5 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 218171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4 - 71692*u**3 + 24946560*u**2.\nAnswer: 4*u**2*(u - 17568)*(u - 355)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 1747*i - 12074. Determine b(7).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-12)*b)\/(b*b\/b**(-5)))**41 assuming b is positive.\nAnswer: b**(-697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -465 + 481. Solve p + 3*p = b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5853893347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((1 - (15 - 27)) + -9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 625 and 7375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 6*u**2 + 5*u + 12. Let s be j(5). Let p be -1 - (-3 + (-10 - -3)). Suppose -p = a + 2*a + 3*m, -2*a + 9 = -m. Solve s = -a*z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 0*r**5 + 0*r**6 - 4\/21*r**7 + 0*r**4 + 1\/2*r**3 + 0*r**2 + 0 + 9*r. What is the second derivative of p(t) wrt t?\nAnswer: -160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 190 - 188. Let x = -143 + 139. Sort x, k, -13, 4.\nAnswer: -13, x, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a hour in minutes?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a day?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c**3 + 35168178*c**2 + 23445446*c + 3907574 = 0. What is c?\nAnswer: -1953787, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15178 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -59\/31, 1, 102 in ascending order.\nAnswer: -59\/31, 1, 102","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -8, -2\/7, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 - 227*(-1)\/1?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 > 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*y + 5*r = 105, -8*y + 3*r + 699 = 658 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 234 = -10*p. Calculate the greatest common divisor of 78 and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1 + 2*d**3 + 0*d**3 + 5.\nAnswer: 2*d**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 9*c - 10. Suppose 3*q = -x + 3*x - 40, 2*q = x - 18. Let t = x - 31. Calculate the remainder when 27 is divided by r(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -1, 19595 in increasing order.\nAnswer: -1, 18, 19595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -440, -442, -436, -416, -376, -310?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512827 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: Let w(u) = -3*u - 14. Suppose 3*a = -0*a + 108. Suppose -2*i = 5*y + a, -y + i = 3*y + 34. Calculate the remainder when 27 is divided by w(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}